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227 changes: 162 additions & 65 deletions src/psfmachine/machine.py
Original file line numberDiff line numberDiff line change
Expand Up@@ -17,6 +17,7 @@
sparse_lessthan,
_combine_A,
threshold_bin,
get_breaks,
)
from .aperture import optimize_aperture, compute_FLFRCSAP, compute_CROWDSAP

Expand DownExpand Up@@ -645,9 +646,7 @@ def _time_bin(self, npoints=200, downsample=False):
"""

# Where there are break points in the time array
splits = np.append(
np.append(0, np.where(np.diff(self.time) > 0.1)[0] + 1), len(self.time)
)
splits = get_breaks(self.time)
# if using poscorr, find and add discontinuity in poscorr data
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -681,10 +680,20 @@ def _time_bin(self, npoints=200, downsample=False):
# within them
breaks = []
for spdx in range(len(splits_a)):
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
# we include the last cadance as 99% of the sequence lenght
breaks.append(int(self.nt * 0.99))
breaks = np.hstack(breaks)
if not downsample:
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
else:
# if downsample, the knots are spaced by npoints untill the end of the
# segment
breaks.append(
np.linspace(
splits_a[spdx],
splits_b[spdx] - int(self.nt * 0.01),
dsplits[spdx],
dtype=int,
)
)
breaks = np.unique(np.hstack(breaks))

if not downsample:
# time averaged between breaks
Expand DownExpand Up@@ -722,13 +731,8 @@ def _time_bin(self, npoints=200, downsample=False):
]
)
else:
dwns_idx = (
np.vstack(
[np.median(t1) for t1 in np.array_split(np.arange(self.nt), breaks)]
)
.ravel()
.astype(int)
)
# use breaks as downsample points
dwns_idx = breaks
tm = self.time[dwns_idx]
ta = (self.time - tm.mean()) / (tm.max() - tm.mean())
fm = np.asarray(
Expand DownExpand Up@@ -783,6 +787,12 @@ def _time_bin(self, npoints=200, downsample=False):
)
pc1_smooth = np.array(pc1_smooth)
pc2_smooth = np.array(pc2_smooth)
pc1_smooth = (pc1_smooth - pc1_smooth.mean()) / (
pc1_smooth.max() - pc1_smooth.mean()
)
pc2_smooth = (pc2_smooth - pc2_smooth.mean()) / (
pc2_smooth.max() - pc2_smooth.mean()
)

# do poscorr binning
if not downsample:
Expand DownExpand Up@@ -810,7 +820,7 @@ def _time_bin(self, npoints=200, downsample=False):

return ta, tm, fm_raw, fm, fem

def build_time_model(self, plot=False, downsample=False):
def build_time_model(self, plot=False, downsample=False, split_time_model=False):
"""
Builds a time model that moves the PRF model to account for the scene movement
due to velocity aberration. It has two methods to choose from using the
Expand All@@ -827,6 +837,11 @@ def build_time_model(self, plot=False, downsample=False):
downsample: boolean
If True the `time` and `pos_corr` arrays will be downsampled instead of
binned.
split_time_model : boolean, list/array of ints
If `True` will split the light curve into segments to fit different time
models with a commong pixel normalization. If `False` will fit the full
time series as one segment. If list or numpy array of ints, will use the
index values as segment breaks.
"""
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -855,6 +870,7 @@ def build_time_model(self, plot=False, downsample=False):
) = self._time_bin(npoints=self.n_time_points, downsample=downsample)

self._whitened_time = time_original
self.downsample_time_knots = downsample
# not necessary to take value from Quantity to do .multiply()
dx, dy = (
self.uncontaminated_source_mask.multiply(self.dra),
Expand DownExpand Up@@ -882,56 +898,108 @@ def build_time_model(self, plot=False, downsample=False):
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw > 10).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No huge variability
k &= (
(np.abs(flux_binned - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned.shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned.ravel()) & np.isfinite(flux_err_binned.ravel())
prior_sigma = np.ones(A3.shape[1]) * 10
prior_mu = np.zeros(A3.shape[1])

for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(A3.multiply(1 / flux_err_binned.ravel()[:, None] ** 2)).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
((flux_binned.ravel() - 1) / flux_err_binned.ravel() ** 2)[k]
# fit the time model for each segment
# use user input
if isinstance(split_time_model, (np.ndarray, list)):
# we make sure first and last index are included and sorted
splits = np.unique(np.append(split_time_model, [0, len(self.time)]))
else:
# we find the splits in data
if split_time_model:
splits = get_breaks(self.time)
else:
splits = np.array([0, len(self.time)])

seg_time_model_w, pix_mask_k = [], []
# we iterate over segements
for bk in range(len(splits) - 1):
# find the right mask that select the binned times andd flux to fit the
# time model
seg_mask = (time_binned[:, 0] >= time_original[splits[bk]]) & (
time_binned[:, 0] < time_original[splits[bk + 1] - 1]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned - A3.dot(time_model_w).reshape(flux_binned.shape)
res = np.ma.masked_array(res, (~k).reshape(flux_binned.shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned.shape, bool) & bad_targets.any(axis=0)
# need to rebuild the A3 DM to use the rigth times/poscorrs
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
A3 = _combine_A(A2, time=time_binned[seg_mask])

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw[seg_mask] > 100).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# No huge variability
k &= (
(np.abs(flux_binned[seg_mask] - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned[seg_mask].shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned[seg_mask].ravel()) & np.isfinite(
flux_err_binned[seg_mask].ravel()
)

self.time_model_w = time_model_w
self._time_masked = k
# we solve the segment by using `seg_mask` on all `*_binned` variables
for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(
A3.multiply(1 / flux_err_binned[seg_mask].ravel()[:, None] ** 2)
).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
(
(flux_binned[seg_mask].ravel() - 1)
/ flux_err_binned[seg_mask].ravel() ** 2
)[k]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned[seg_mask] - A3.dot(time_model_w).reshape(
flux_binned[seg_mask].shape
)
res = np.ma.masked_array(res, (~k).reshape(flux_binned[seg_mask].shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned[seg_mask].shape, bool) & bad_targets.any(axis=0)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# we save the weights and pixel mask of each segement for later use
seg_time_model_w.append(time_model_w)
pix_mask_k.append(k)

self.seg_splits = splits
self.time_model_w = np.asarray(seg_time_model_w)
self._time_masked = np.asarray(pix_mask_k, dtype=object)
if plot:
return self.plot_time_model()
return

def plot_time_model(self):
def plot_time_model(self, segment=0):
"""
Diagnostic plot of time model.

Parameters
----------
segment : int
Which light curve segment will be plotted, default is first one.

Returns
-------
fig : matplotlib.Figure
Expand All@@ -951,15 +1019,19 @@ def plot_time_model(self):
poscorr2_smooth,
poscorr1_binned,
poscorr2_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)
else:
(
time_original,
time_binned,
flux_binned_raw,
flux_binned,
flux_err_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)

# not necessary to take value from Quantity to do .multiply()
dx, dy = (
Expand All@@ -976,27 +1048,42 @@ def plot_time_model(self):
radius=self.time_radius,
spacing=self.cartesian_knot_spacing,
)
A2 = sparse.vstack([A_c] * time_binned.shape[0], format="csr")
# Cartesian spline with time dependence
# Cartesian spline with time dependence
seg_mask = (time_binned[:, 0] >= time_original[self.seg_splits[segment]]) & (
time_binned[:, 0] < time_original[self.seg_splits[segment + 1] - 1]
)
# find the right mask that select the binned times andd flux
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")

if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
# Cartesian spline with poscor dependence
A3 = _combine_A(A2, poscorr=[poscorr1_binned, poscorr2_binned])
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)
A3 = _combine_A(A2, time=time_binned[seg_mask])

model = A3.dot(self.time_model_w).reshape(flux_binned.shape) + 1
model = (
A3.dot(self.time_model_w[segment]).reshape(flux_binned[seg_mask].shape) + 1
)
fig, ax = plt.subplots(2, 2, figsize=(7, 6), facecolor="w")
k1 = self._time_masked.reshape(flux_binned.shape)[0]
k2 = self._time_masked.reshape(flux_binned.shape)[-1]
k1 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[0]
.astype(bool)
)
k2 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[-1]
.astype(bool)
)
im = ax[0, 0].scatter(
dx[k1],
dy[k1],
c=flux_binned[0][k1],
c=flux_binned[seg_mask][0][k1],
s=3,
vmin=0.5,
vmax=1.5,
Expand All@@ -1006,7 +1093,7 @@ def plot_time_model(self):
ax[0, 1].scatter(
dx[k2],
dy[k2],
c=flux_binned[-1][k2],
c=flux_binned[seg_mask][-1][k2],
s=3,
vmin=0.5,
vmax=1.5,
Expand DownExpand Up@@ -1531,7 +1618,17 @@ def fit_model(self, fit_va=False):
(self._whitened_time[tdx] ** np.arange(4))[:, None]
* np.ones(A_cp3.shape[1] // 4)
)
X.data *= A_cp3.multiply(t_mult).dot(self.time_model_w) + 1
# we make sure to use the `time_model_w` that correspond to the segment
# we are computing
seg_num = np.where(
[
(tdx >= self.seg_splits[k]) & (tdx < self.seg_splits[k + 1])
for k in range(len(self.seg_splits) - 1)
]
)[0]
X.data *= (
A_cp3.multiply(t_mult).dot(self.time_model_w[seg_num].ravel()) + 1
)
X = X.T

sigma_w_inv = X.T.dot(
Expand Down
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var __m = "github.com";
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227 changes: 162 additions & 65 deletions src/psfmachine/machine.py
Original file line numberDiff line numberDiff line change
Expand Up@@ -17,6 +17,7 @@
sparse_lessthan,
_combine_A,
threshold_bin,
get_breaks,
)
from .aperture import optimize_aperture, compute_FLFRCSAP, compute_CROWDSAP

Expand DownExpand Up@@ -645,9 +646,7 @@ def _time_bin(self, npoints=200, downsample=False):
"""

# Where there are break points in the time array
splits = np.append(
np.append(0, np.where(np.diff(self.time) > 0.1)[0] + 1), len(self.time)
)
splits = get_breaks(self.time)
# if using poscorr, find and add discontinuity in poscorr data
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -681,10 +680,20 @@ def _time_bin(self, npoints=200, downsample=False):
# within them
breaks = []
for spdx in range(len(splits_a)):
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
# we include the last cadance as 99% of the sequence lenght
breaks.append(int(self.nt * 0.99))
breaks = np.hstack(breaks)
if not downsample:
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
else:
# if downsample, the knots are spaced by npoints untill the end of the
# segment
breaks.append(
np.linspace(
splits_a[spdx],
splits_b[spdx] - int(self.nt * 0.01),
dsplits[spdx],
dtype=int,
)
)
breaks = np.unique(np.hstack(breaks))

if not downsample:
# time averaged between breaks
Expand DownExpand Up@@ -722,13 +731,8 @@ def _time_bin(self, npoints=200, downsample=False):
]
)
else:
dwns_idx = (
np.vstack(
[np.median(t1) for t1 in np.array_split(np.arange(self.nt), breaks)]
)
.ravel()
.astype(int)
)
# use breaks as downsample points
dwns_idx = breaks
tm = self.time[dwns_idx]
ta = (self.time - tm.mean()) / (tm.max() - tm.mean())
fm = np.asarray(
Expand DownExpand Up@@ -783,6 +787,12 @@ def _time_bin(self, npoints=200, downsample=False):
)
pc1_smooth = np.array(pc1_smooth)
pc2_smooth = np.array(pc2_smooth)
pc1_smooth = (pc1_smooth - pc1_smooth.mean()) / (
pc1_smooth.max() - pc1_smooth.mean()
)
pc2_smooth = (pc2_smooth - pc2_smooth.mean()) / (
pc2_smooth.max() - pc2_smooth.mean()
)

# do poscorr binning
if not downsample:
Expand DownExpand Up@@ -810,7 +820,7 @@ def _time_bin(self, npoints=200, downsample=False):

return ta, tm, fm_raw, fm, fem

def build_time_model(self, plot=False, downsample=False):
def build_time_model(self, plot=False, downsample=False, split_time_model=False):
"""
Builds a time model that moves the PRF model to account for the scene movement
due to velocity aberration. It has two methods to choose from using the
Expand All@@ -827,6 +837,11 @@ def build_time_model(self, plot=False, downsample=False):
downsample: boolean
If True the `time` and `pos_corr` arrays will be downsampled instead of
binned.
split_time_model : boolean, list/array of ints
If `True` will split the light curve into segments to fit different time
models with a commong pixel normalization. If `False` will fit the full
time series as one segment. If list or numpy array of ints, will use the
index values as segment breaks.
"""
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -855,6 +870,7 @@ def build_time_model(self, plot=False, downsample=False):
) = self._time_bin(npoints=self.n_time_points, downsample=downsample)

self._whitened_time = time_original
self.downsample_time_knots = downsample
# not necessary to take value from Quantity to do .multiply()
dx, dy = (
self.uncontaminated_source_mask.multiply(self.dra),
Expand DownExpand Up@@ -882,56 +898,108 @@ def build_time_model(self, plot=False, downsample=False):
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw > 10).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No huge variability
k &= (
(np.abs(flux_binned - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned.shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned.ravel()) & np.isfinite(flux_err_binned.ravel())
prior_sigma = np.ones(A3.shape[1]) * 10
prior_mu = np.zeros(A3.shape[1])

for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(A3.multiply(1 / flux_err_binned.ravel()[:, None] ** 2)).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
((flux_binned.ravel() - 1) / flux_err_binned.ravel() ** 2)[k]
# fit the time model for each segment
# use user input
if isinstance(split_time_model, (np.ndarray, list)):
# we make sure first and last index are included and sorted
splits = np.unique(np.append(split_time_model, [0, len(self.time)]))
else:
# we find the splits in data
if split_time_model:
splits = get_breaks(self.time)
else:
splits = np.array([0, len(self.time)])

seg_time_model_w, pix_mask_k = [], []
# we iterate over segements
for bk in range(len(splits) - 1):
# find the right mask that select the binned times andd flux to fit the
# time model
seg_mask = (time_binned[:, 0] >= time_original[splits[bk]]) & (
time_binned[:, 0] < time_original[splits[bk + 1] - 1]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned - A3.dot(time_model_w).reshape(flux_binned.shape)
res = np.ma.masked_array(res, (~k).reshape(flux_binned.shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned.shape, bool) & bad_targets.any(axis=0)
# need to rebuild the A3 DM to use the rigth times/poscorrs
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
A3 = _combine_A(A2, time=time_binned[seg_mask])

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw[seg_mask] > 100).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# No huge variability
k &= (
(np.abs(flux_binned[seg_mask] - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned[seg_mask].shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned[seg_mask].ravel()) & np.isfinite(
flux_err_binned[seg_mask].ravel()
)

self.time_model_w = time_model_w
self._time_masked = k
# we solve the segment by using `seg_mask` on all `*_binned` variables
for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(
A3.multiply(1 / flux_err_binned[seg_mask].ravel()[:, None] ** 2)
).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
(
(flux_binned[seg_mask].ravel() - 1)
/ flux_err_binned[seg_mask].ravel() ** 2
)[k]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned[seg_mask] - A3.dot(time_model_w).reshape(
flux_binned[seg_mask].shape
)
res = np.ma.masked_array(res, (~k).reshape(flux_binned[seg_mask].shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned[seg_mask].shape, bool) & bad_targets.any(axis=0)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# we save the weights and pixel mask of each segement for later use
seg_time_model_w.append(time_model_w)
pix_mask_k.append(k)

self.seg_splits = splits
self.time_model_w = np.asarray(seg_time_model_w)
self._time_masked = np.asarray(pix_mask_k, dtype=object)
if plot:
return self.plot_time_model()
return

def plot_time_model(self):
def plot_time_model(self, segment=0):
"""
Diagnostic plot of time model.

Parameters
----------
segment : int
Which light curve segment will be plotted, default is first one.

Returns
-------
fig : matplotlib.Figure
Expand All@@ -951,15 +1019,19 @@ def plot_time_model(self):
poscorr2_smooth,
poscorr1_binned,
poscorr2_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)
else:
(
time_original,
time_binned,
flux_binned_raw,
flux_binned,
flux_err_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)

# not necessary to take value from Quantity to do .multiply()
dx, dy = (
Expand All@@ -976,27 +1048,42 @@ def plot_time_model(self):
radius=self.time_radius,
spacing=self.cartesian_knot_spacing,
)
A2 = sparse.vstack([A_c] * time_binned.shape[0], format="csr")
# Cartesian spline with time dependence
# Cartesian spline with time dependence
seg_mask = (time_binned[:, 0] >= time_original[self.seg_splits[segment]]) & (
time_binned[:, 0] < time_original[self.seg_splits[segment + 1] - 1]
)
# find the right mask that select the binned times andd flux
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")

if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
# Cartesian spline with poscor dependence
A3 = _combine_A(A2, poscorr=[poscorr1_binned, poscorr2_binned])
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)
A3 = _combine_A(A2, time=time_binned[seg_mask])

model = A3.dot(self.time_model_w).reshape(flux_binned.shape) + 1
model = (
A3.dot(self.time_model_w[segment]).reshape(flux_binned[seg_mask].shape) + 1
)
fig, ax = plt.subplots(2, 2, figsize=(7, 6), facecolor="w")
k1 = self._time_masked.reshape(flux_binned.shape)[0]
k2 = self._time_masked.reshape(flux_binned.shape)[-1]
k1 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[0]
.astype(bool)
)
k2 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[-1]
.astype(bool)
)
im = ax[0, 0].scatter(
dx[k1],
dy[k1],
c=flux_binned[0][k1],
c=flux_binned[seg_mask][0][k1],
s=3,
vmin=0.5,
vmax=1.5,
Expand All@@ -1006,7 +1093,7 @@ def plot_time_model(self):
ax[0, 1].scatter(
dx[k2],
dy[k2],
c=flux_binned[-1][k2],
c=flux_binned[seg_mask][-1][k2],
s=3,
vmin=0.5,
vmax=1.5,
Expand DownExpand Up@@ -1531,7 +1618,17 @@ def fit_model(self, fit_va=False):
(self._whitened_time[tdx] ** np.arange(4))[:, None]
* np.ones(A_cp3.shape[1] // 4)
)
X.data *= A_cp3.multiply(t_mult).dot(self.time_model_w) + 1
# we make sure to use the `time_model_w` that correspond to the segment
# we are computing
seg_num = np.where(
[
(tdx >= self.seg_splits[k]) & (tdx < self.seg_splits[k + 1])
for k in range(len(self.seg_splits) - 1)
]
)[0]
X.data *= (
A_cp3.multiply(t_mult).dot(self.time_model_w[seg_num].ravel()) + 1
)
X = X.T

sigma_w_inv = X.T.dot(
Expand Down
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227 changes: 162 additions & 65 deletions src/psfmachine/machine.py
Original file line numberDiff line numberDiff line change
Expand Up@@ -17,6 +17,7 @@
sparse_lessthan,
_combine_A,
threshold_bin,
get_breaks,
)
from .aperture import optimize_aperture, compute_FLFRCSAP, compute_CROWDSAP

Expand DownExpand Up@@ -645,9 +646,7 @@ def _time_bin(self, npoints=200, downsample=False):
"""

# Where there are break points in the time array
splits = np.append(
np.append(0, np.where(np.diff(self.time) > 0.1)[0] + 1), len(self.time)
)
splits = get_breaks(self.time)
# if using poscorr, find and add discontinuity in poscorr data
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -681,10 +680,20 @@ def _time_bin(self, npoints=200, downsample=False):
# within them
breaks = []
for spdx in range(len(splits_a)):
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
# we include the last cadance as 99% of the sequence lenght
breaks.append(int(self.nt * 0.99))
breaks = np.hstack(breaks)
if not downsample:
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
else:
# if downsample, the knots are spaced by npoints untill the end of the
# segment
breaks.append(
np.linspace(
splits_a[spdx],
splits_b[spdx] - int(self.nt * 0.01),
dsplits[spdx],
dtype=int,
)
)
breaks = np.unique(np.hstack(breaks))

if not downsample:
# time averaged between breaks
Expand DownExpand Up@@ -722,13 +731,8 @@ def _time_bin(self, npoints=200, downsample=False):
]
)
else:
dwns_idx = (
np.vstack(
[np.median(t1) for t1 in np.array_split(np.arange(self.nt), breaks)]
)
.ravel()
.astype(int)
)
# use breaks as downsample points
dwns_idx = breaks
tm = self.time[dwns_idx]
ta = (self.time - tm.mean()) / (tm.max() - tm.mean())
fm = np.asarray(
Expand DownExpand Up@@ -783,6 +787,12 @@ def _time_bin(self, npoints=200, downsample=False):
)
pc1_smooth = np.array(pc1_smooth)
pc2_smooth = np.array(pc2_smooth)
pc1_smooth = (pc1_smooth - pc1_smooth.mean()) / (
pc1_smooth.max() - pc1_smooth.mean()
)
pc2_smooth = (pc2_smooth - pc2_smooth.mean()) / (
pc2_smooth.max() - pc2_smooth.mean()
)

# do poscorr binning
if not downsample:
Expand DownExpand Up@@ -810,7 +820,7 @@ def _time_bin(self, npoints=200, downsample=False):

return ta, tm, fm_raw, fm, fem

def build_time_model(self, plot=False, downsample=False):
def build_time_model(self, plot=False, downsample=False, split_time_model=False):
"""
Builds a time model that moves the PRF model to account for the scene movement
due to velocity aberration. It has two methods to choose from using the
Expand All@@ -827,6 +837,11 @@ def build_time_model(self, plot=False, downsample=False):
downsample: boolean
If True the `time` and `pos_corr` arrays will be downsampled instead of
binned.
split_time_model : boolean, list/array of ints
If `True` will split the light curve into segments to fit different time
models with a commong pixel normalization. If `False` will fit the full
time series as one segment. If list or numpy array of ints, will use the
index values as segment breaks.
"""
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -855,6 +870,7 @@ def build_time_model(self, plot=False, downsample=False):
) = self._time_bin(npoints=self.n_time_points, downsample=downsample)

self._whitened_time = time_original
self.downsample_time_knots = downsample
# not necessary to take value from Quantity to do .multiply()
dx, dy = (
self.uncontaminated_source_mask.multiply(self.dra),
Expand DownExpand Up@@ -882,56 +898,108 @@ def build_time_model(self, plot=False, downsample=False):
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw > 10).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No huge variability
k &= (
(np.abs(flux_binned - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned.shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned.ravel()) & np.isfinite(flux_err_binned.ravel())
prior_sigma = np.ones(A3.shape[1]) * 10
prior_mu = np.zeros(A3.shape[1])

for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(A3.multiply(1 / flux_err_binned.ravel()[:, None] ** 2)).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
((flux_binned.ravel() - 1) / flux_err_binned.ravel() ** 2)[k]
# fit the time model for each segment
# use user input
if isinstance(split_time_model, (np.ndarray, list)):
# we make sure first and last index are included and sorted
splits = np.unique(np.append(split_time_model, [0, len(self.time)]))
else:
# we find the splits in data
if split_time_model:
splits = get_breaks(self.time)
else:
splits = np.array([0, len(self.time)])

seg_time_model_w, pix_mask_k = [], []
# we iterate over segements
for bk in range(len(splits) - 1):
# find the right mask that select the binned times andd flux to fit the
# time model
seg_mask = (time_binned[:, 0] >= time_original[splits[bk]]) & (
time_binned[:, 0] < time_original[splits[bk + 1] - 1]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned - A3.dot(time_model_w).reshape(flux_binned.shape)
res = np.ma.masked_array(res, (~k).reshape(flux_binned.shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned.shape, bool) & bad_targets.any(axis=0)
# need to rebuild the A3 DM to use the rigth times/poscorrs
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
A3 = _combine_A(A2, time=time_binned[seg_mask])

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw[seg_mask] > 100).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# No huge variability
k &= (
(np.abs(flux_binned[seg_mask] - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned[seg_mask].shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned[seg_mask].ravel()) & np.isfinite(
flux_err_binned[seg_mask].ravel()
)

self.time_model_w = time_model_w
self._time_masked = k
# we solve the segment by using `seg_mask` on all `*_binned` variables
for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(
A3.multiply(1 / flux_err_binned[seg_mask].ravel()[:, None] ** 2)
).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
(
(flux_binned[seg_mask].ravel() - 1)
/ flux_err_binned[seg_mask].ravel() ** 2
)[k]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned[seg_mask] - A3.dot(time_model_w).reshape(
flux_binned[seg_mask].shape
)
res = np.ma.masked_array(res, (~k).reshape(flux_binned[seg_mask].shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned[seg_mask].shape, bool) & bad_targets.any(axis=0)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# we save the weights and pixel mask of each segement for later use
seg_time_model_w.append(time_model_w)
pix_mask_k.append(k)

self.seg_splits = splits
self.time_model_w = np.asarray(seg_time_model_w)
self._time_masked = np.asarray(pix_mask_k, dtype=object)
if plot:
return self.plot_time_model()
return

def plot_time_model(self):
def plot_time_model(self, segment=0):
"""
Diagnostic plot of time model.

Parameters
----------
segment : int
Which light curve segment will be plotted, default is first one.

Returns
-------
fig : matplotlib.Figure
Expand All@@ -951,15 +1019,19 @@ def plot_time_model(self):
poscorr2_smooth,
poscorr1_binned,
poscorr2_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)
else:
(
time_original,
time_binned,
flux_binned_raw,
flux_binned,
flux_err_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)

# not necessary to take value from Quantity to do .multiply()
dx, dy = (
Expand All@@ -976,27 +1048,42 @@ def plot_time_model(self):
radius=self.time_radius,
spacing=self.cartesian_knot_spacing,
)
A2 = sparse.vstack([A_c] * time_binned.shape[0], format="csr")
# Cartesian spline with time dependence
# Cartesian spline with time dependence
seg_mask = (time_binned[:, 0] >= time_original[self.seg_splits[segment]]) & (
time_binned[:, 0] < time_original[self.seg_splits[segment + 1] - 1]
)
# find the right mask that select the binned times andd flux
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")

if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
# Cartesian spline with poscor dependence
A3 = _combine_A(A2, poscorr=[poscorr1_binned, poscorr2_binned])
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)
A3 = _combine_A(A2, time=time_binned[seg_mask])

model = A3.dot(self.time_model_w).reshape(flux_binned.shape) + 1
model = (
A3.dot(self.time_model_w[segment]).reshape(flux_binned[seg_mask].shape) + 1
)
fig, ax = plt.subplots(2, 2, figsize=(7, 6), facecolor="w")
k1 = self._time_masked.reshape(flux_binned.shape)[0]
k2 = self._time_masked.reshape(flux_binned.shape)[-1]
k1 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[0]
.astype(bool)
)
k2 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[-1]
.astype(bool)
)
im = ax[0, 0].scatter(
dx[k1],
dy[k1],
c=flux_binned[0][k1],
c=flux_binned[seg_mask][0][k1],
s=3,
vmin=0.5,
vmax=1.5,
Expand All@@ -1006,7 +1093,7 @@ def plot_time_model(self):
ax[0, 1].scatter(
dx[k2],
dy[k2],
c=flux_binned[-1][k2],
c=flux_binned[seg_mask][-1][k2],
s=3,
vmin=0.5,
vmax=1.5,
Expand DownExpand Up@@ -1531,7 +1618,17 @@ def fit_model(self, fit_va=False):
(self._whitened_time[tdx] ** np.arange(4))[:, None]
* np.ones(A_cp3.shape[1] // 4)
)
X.data *= A_cp3.multiply(t_mult).dot(self.time_model_w) + 1
# we make sure to use the `time_model_w` that correspond to the segment
# we are computing
seg_num = np.where(
[
(tdx >= self.seg_splits[k]) & (tdx < self.seg_splits[k + 1])
for k in range(len(self.seg_splits) - 1)
]
)[0]
X.data *= (
A_cp3.multiply(t_mult).dot(self.time_model_w[seg_num].ravel()) + 1
)
X = X.T

sigma_w_inv = X.T.dot(
Expand Down
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227 changes: 162 additions & 65 deletions src/psfmachine/machine.py
Original file line numberDiff line numberDiff line change
Expand Up@@ -17,6 +17,7 @@
sparse_lessthan,
_combine_A,
threshold_bin,
get_breaks,
)
from .aperture import optimize_aperture, compute_FLFRCSAP, compute_CROWDSAP

Expand DownExpand Up@@ -645,9 +646,7 @@ def _time_bin(self, npoints=200, downsample=False):
"""

# Where there are break points in the time array
splits = np.append(
np.append(0, np.where(np.diff(self.time) > 0.1)[0] + 1), len(self.time)
)
splits = get_breaks(self.time)
# if using poscorr, find and add discontinuity in poscorr data
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -681,10 +680,20 @@ def _time_bin(self, npoints=200, downsample=False):
# within them
breaks = []
for spdx in range(len(splits_a)):
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
# we include the last cadance as 99% of the sequence lenght
breaks.append(int(self.nt * 0.99))
breaks = np.hstack(breaks)
if not downsample:
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
else:
# if downsample, the knots are spaced by npoints untill the end of the
# segment
breaks.append(
np.linspace(
splits_a[spdx],
splits_b[spdx] - int(self.nt * 0.01),
dsplits[spdx],
dtype=int,
)
)
breaks = np.unique(np.hstack(breaks))

if not downsample:
# time averaged between breaks
Expand DownExpand Up@@ -722,13 +731,8 @@ def _time_bin(self, npoints=200, downsample=False):
]
)
else:
dwns_idx = (
np.vstack(
[np.median(t1) for t1 in np.array_split(np.arange(self.nt), breaks)]
)
.ravel()
.astype(int)
)
# use breaks as downsample points
dwns_idx = breaks
tm = self.time[dwns_idx]
ta = (self.time - tm.mean()) / (tm.max() - tm.mean())
fm = np.asarray(
Expand DownExpand Up@@ -783,6 +787,12 @@ def _time_bin(self, npoints=200, downsample=False):
)
pc1_smooth = np.array(pc1_smooth)
pc2_smooth = np.array(pc2_smooth)
pc1_smooth = (pc1_smooth - pc1_smooth.mean()) / (
pc1_smooth.max() - pc1_smooth.mean()
)
pc2_smooth = (pc2_smooth - pc2_smooth.mean()) / (
pc2_smooth.max() - pc2_smooth.mean()
)

# do poscorr binning
if not downsample:
Expand DownExpand Up@@ -810,7 +820,7 @@ def _time_bin(self, npoints=200, downsample=False):

return ta, tm, fm_raw, fm, fem

def build_time_model(self, plot=False, downsample=False):
def build_time_model(self, plot=False, downsample=False, split_time_model=False):
"""
Builds a time model that moves the PRF model to account for the scene movement
due to velocity aberration. It has two methods to choose from using the
Expand All@@ -827,6 +837,11 @@ def build_time_model(self, plot=False, downsample=False):
downsample: boolean
If True the `time` and `pos_corr` arrays will be downsampled instead of
binned.
split_time_model : boolean, list/array of ints
If `True` will split the light curve into segments to fit different time
models with a commong pixel normalization. If `False` will fit the full
time series as one segment. If list or numpy array of ints, will use the
index values as segment breaks.
"""
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -855,6 +870,7 @@ def build_time_model(self, plot=False, downsample=False):
) = self._time_bin(npoints=self.n_time_points, downsample=downsample)

self._whitened_time = time_original
self.downsample_time_knots = downsample
# not necessary to take value from Quantity to do .multiply()
dx, dy = (
self.uncontaminated_source_mask.multiply(self.dra),
Expand DownExpand Up@@ -882,56 +898,108 @@ def build_time_model(self, plot=False, downsample=False):
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw > 10).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No huge variability
k &= (
(np.abs(flux_binned - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned.shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned.ravel()) & np.isfinite(flux_err_binned.ravel())
prior_sigma = np.ones(A3.shape[1]) * 10
prior_mu = np.zeros(A3.shape[1])

for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(A3.multiply(1 / flux_err_binned.ravel()[:, None] ** 2)).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
((flux_binned.ravel() - 1) / flux_err_binned.ravel() ** 2)[k]
# fit the time model for each segment
# use user input
if isinstance(split_time_model, (np.ndarray, list)):
# we make sure first and last index are included and sorted
splits = np.unique(np.append(split_time_model, [0, len(self.time)]))
else:
# we find the splits in data
if split_time_model:
splits = get_breaks(self.time)
else:
splits = np.array([0, len(self.time)])

seg_time_model_w, pix_mask_k = [], []
# we iterate over segements
for bk in range(len(splits) - 1):
# find the right mask that select the binned times andd flux to fit the
# time model
seg_mask = (time_binned[:, 0] >= time_original[splits[bk]]) & (
time_binned[:, 0] < time_original[splits[bk + 1] - 1]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned - A3.dot(time_model_w).reshape(flux_binned.shape)
res = np.ma.masked_array(res, (~k).reshape(flux_binned.shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned.shape, bool) & bad_targets.any(axis=0)
# need to rebuild the A3 DM to use the rigth times/poscorrs
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
A3 = _combine_A(A2, time=time_binned[seg_mask])

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw[seg_mask] > 100).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# No huge variability
k &= (
(np.abs(flux_binned[seg_mask] - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned[seg_mask].shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned[seg_mask].ravel()) & np.isfinite(
flux_err_binned[seg_mask].ravel()
)

self.time_model_w = time_model_w
self._time_masked = k
# we solve the segment by using `seg_mask` on all `*_binned` variables
for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(
A3.multiply(1 / flux_err_binned[seg_mask].ravel()[:, None] ** 2)
).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
(
(flux_binned[seg_mask].ravel() - 1)
/ flux_err_binned[seg_mask].ravel() ** 2
)[k]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned[seg_mask] - A3.dot(time_model_w).reshape(
flux_binned[seg_mask].shape
)
res = np.ma.masked_array(res, (~k).reshape(flux_binned[seg_mask].shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned[seg_mask].shape, bool) & bad_targets.any(axis=0)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# we save the weights and pixel mask of each segement for later use
seg_time_model_w.append(time_model_w)
pix_mask_k.append(k)

self.seg_splits = splits
self.time_model_w = np.asarray(seg_time_model_w)
self._time_masked = np.asarray(pix_mask_k, dtype=object)
if plot:
return self.plot_time_model()
return

def plot_time_model(self):
def plot_time_model(self, segment=0):
"""
Diagnostic plot of time model.

Parameters
----------
segment : int
Which light curve segment will be plotted, default is first one.

Returns
-------
fig : matplotlib.Figure
Expand All@@ -951,15 +1019,19 @@ def plot_time_model(self):
poscorr2_smooth,
poscorr1_binned,
poscorr2_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)
else:
(
time_original,
time_binned,
flux_binned_raw,
flux_binned,
flux_err_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)

# not necessary to take value from Quantity to do .multiply()
dx, dy = (
Expand All@@ -976,27 +1048,42 @@ def plot_time_model(self):
radius=self.time_radius,
spacing=self.cartesian_knot_spacing,
)
A2 = sparse.vstack([A_c] * time_binned.shape[0], format="csr")
# Cartesian spline with time dependence
# Cartesian spline with time dependence
seg_mask = (time_binned[:, 0] >= time_original[self.seg_splits[segment]]) & (
time_binned[:, 0] < time_original[self.seg_splits[segment + 1] - 1]
)
# find the right mask that select the binned times andd flux
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")

if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
# Cartesian spline with poscor dependence
A3 = _combine_A(A2, poscorr=[poscorr1_binned, poscorr2_binned])
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)
A3 = _combine_A(A2, time=time_binned[seg_mask])

model = A3.dot(self.time_model_w).reshape(flux_binned.shape) + 1
model = (
A3.dot(self.time_model_w[segment]).reshape(flux_binned[seg_mask].shape) + 1
)
fig, ax = plt.subplots(2, 2, figsize=(7, 6), facecolor="w")
k1 = self._time_masked.reshape(flux_binned.shape)[0]
k2 = self._time_masked.reshape(flux_binned.shape)[-1]
k1 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[0]
.astype(bool)
)
k2 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[-1]
.astype(bool)
)
im = ax[0, 0].scatter(
dx[k1],
dy[k1],
c=flux_binned[0][k1],
c=flux_binned[seg_mask][0][k1],
s=3,
vmin=0.5,
vmax=1.5,
Expand All@@ -1006,7 +1093,7 @@ def plot_time_model(self):
ax[0, 1].scatter(
dx[k2],
dy[k2],
c=flux_binned[-1][k2],
c=flux_binned[seg_mask][-1][k2],
s=3,
vmin=0.5,
vmax=1.5,
Expand DownExpand Up@@ -1531,7 +1618,17 @@ def fit_model(self, fit_va=False):
(self._whitened_time[tdx] ** np.arange(4))[:, None]
* np.ones(A_cp3.shape[1] // 4)
)
X.data *= A_cp3.multiply(t_mult).dot(self.time_model_w) + 1
# we make sure to use the `time_model_w` that correspond to the segment
# we are computing
seg_num = np.where(
[
(tdx >= self.seg_splits[k]) & (tdx < self.seg_splits[k + 1])
for k in range(len(self.seg_splits) - 1)
]
)[0]
X.data *= (
A_cp3.multiply(t_mult).dot(self.time_model_w[seg_num].ravel()) + 1
)
X = X.T

sigma_w_inv = X.T.dot(
Expand Down
Loading
, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links"); } } catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); } })(); (function(){ try { var __m = "youtube.com"; var __re = new RegExp('^' + "youtube\\.com" + '
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227 changes: 162 additions & 65 deletions src/psfmachine/machine.py
Original file line numberDiff line numberDiff line change
Expand Up@@ -17,6 +17,7 @@
sparse_lessthan,
_combine_A,
threshold_bin,
get_breaks,
)
from .aperture import optimize_aperture, compute_FLFRCSAP, compute_CROWDSAP

Expand DownExpand Up@@ -645,9 +646,7 @@ def _time_bin(self, npoints=200, downsample=False):
"""

# Where there are break points in the time array
splits = np.append(
np.append(0, np.where(np.diff(self.time) > 0.1)[0] + 1), len(self.time)
)
splits = get_breaks(self.time)
# if using poscorr, find and add discontinuity in poscorr data
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -681,10 +680,20 @@ def _time_bin(self, npoints=200, downsample=False):
# within them
breaks = []
for spdx in range(len(splits_a)):
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
# we include the last cadance as 99% of the sequence lenght
breaks.append(int(self.nt * 0.99))
breaks = np.hstack(breaks)
if not downsample:
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
else:
# if downsample, the knots are spaced by npoints untill the end of the
# segment
breaks.append(
np.linspace(
splits_a[spdx],
splits_b[spdx] - int(self.nt * 0.01),
dsplits[spdx],
dtype=int,
)
)
breaks = np.unique(np.hstack(breaks))

if not downsample:
# time averaged between breaks
Expand DownExpand Up@@ -722,13 +731,8 @@ def _time_bin(self, npoints=200, downsample=False):
]
)
else:
dwns_idx = (
np.vstack(
[np.median(t1) for t1 in np.array_split(np.arange(self.nt), breaks)]
)
.ravel()
.astype(int)
)
# use breaks as downsample points
dwns_idx = breaks
tm = self.time[dwns_idx]
ta = (self.time - tm.mean()) / (tm.max() - tm.mean())
fm = np.asarray(
Expand DownExpand Up@@ -783,6 +787,12 @@ def _time_bin(self, npoints=200, downsample=False):
)
pc1_smooth = np.array(pc1_smooth)
pc2_smooth = np.array(pc2_smooth)
pc1_smooth = (pc1_smooth - pc1_smooth.mean()) / (
pc1_smooth.max() - pc1_smooth.mean()
)
pc2_smooth = (pc2_smooth - pc2_smooth.mean()) / (
pc2_smooth.max() - pc2_smooth.mean()
)

# do poscorr binning
if not downsample:
Expand DownExpand Up@@ -810,7 +820,7 @@ def _time_bin(self, npoints=200, downsample=False):

return ta, tm, fm_raw, fm, fem

def build_time_model(self, plot=False, downsample=False):
def build_time_model(self, plot=False, downsample=False, split_time_model=False):
"""
Builds a time model that moves the PRF model to account for the scene movement
due to velocity aberration. It has two methods to choose from using the
Expand All@@ -827,6 +837,11 @@ def build_time_model(self, plot=False, downsample=False):
downsample: boolean
If True the `time` and `pos_corr` arrays will be downsampled instead of
binned.
split_time_model : boolean, list/array of ints
If `True` will split the light curve into segments to fit different time
models with a commong pixel normalization. If `False` will fit the full
time series as one segment. If list or numpy array of ints, will use the
index values as segment breaks.
"""
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -855,6 +870,7 @@ def build_time_model(self, plot=False, downsample=False):
) = self._time_bin(npoints=self.n_time_points, downsample=downsample)

self._whitened_time = time_original
self.downsample_time_knots = downsample
# not necessary to take value from Quantity to do .multiply()
dx, dy = (
self.uncontaminated_source_mask.multiply(self.dra),
Expand DownExpand Up@@ -882,56 +898,108 @@ def build_time_model(self, plot=False, downsample=False):
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw > 10).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No huge variability
k &= (
(np.abs(flux_binned - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned.shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned.ravel()) & np.isfinite(flux_err_binned.ravel())
prior_sigma = np.ones(A3.shape[1]) * 10
prior_mu = np.zeros(A3.shape[1])

for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(A3.multiply(1 / flux_err_binned.ravel()[:, None] ** 2)).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
((flux_binned.ravel() - 1) / flux_err_binned.ravel() ** 2)[k]
# fit the time model for each segment
# use user input
if isinstance(split_time_model, (np.ndarray, list)):
# we make sure first and last index are included and sorted
splits = np.unique(np.append(split_time_model, [0, len(self.time)]))
else:
# we find the splits in data
if split_time_model:
splits = get_breaks(self.time)
else:
splits = np.array([0, len(self.time)])

seg_time_model_w, pix_mask_k = [], []
# we iterate over segements
for bk in range(len(splits) - 1):
# find the right mask that select the binned times andd flux to fit the
# time model
seg_mask = (time_binned[:, 0] >= time_original[splits[bk]]) & (
time_binned[:, 0] < time_original[splits[bk + 1] - 1]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned - A3.dot(time_model_w).reshape(flux_binned.shape)
res = np.ma.masked_array(res, (~k).reshape(flux_binned.shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned.shape, bool) & bad_targets.any(axis=0)
# need to rebuild the A3 DM to use the rigth times/poscorrs
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
A3 = _combine_A(A2, time=time_binned[seg_mask])

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw[seg_mask] > 100).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# No huge variability
k &= (
(np.abs(flux_binned[seg_mask] - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned[seg_mask].shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned[seg_mask].ravel()) & np.isfinite(
flux_err_binned[seg_mask].ravel()
)

self.time_model_w = time_model_w
self._time_masked = k
# we solve the segment by using `seg_mask` on all `*_binned` variables
for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(
A3.multiply(1 / flux_err_binned[seg_mask].ravel()[:, None] ** 2)
).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
(
(flux_binned[seg_mask].ravel() - 1)
/ flux_err_binned[seg_mask].ravel() ** 2
)[k]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned[seg_mask] - A3.dot(time_model_w).reshape(
flux_binned[seg_mask].shape
)
res = np.ma.masked_array(res, (~k).reshape(flux_binned[seg_mask].shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned[seg_mask].shape, bool) & bad_targets.any(axis=0)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# we save the weights and pixel mask of each segement for later use
seg_time_model_w.append(time_model_w)
pix_mask_k.append(k)

self.seg_splits = splits
self.time_model_w = np.asarray(seg_time_model_w)
self._time_masked = np.asarray(pix_mask_k, dtype=object)
if plot:
return self.plot_time_model()
return

def plot_time_model(self):
def plot_time_model(self, segment=0):
"""
Diagnostic plot of time model.

Parameters
----------
segment : int
Which light curve segment will be plotted, default is first one.

Returns
-------
fig : matplotlib.Figure
Expand All@@ -951,15 +1019,19 @@ def plot_time_model(self):
poscorr2_smooth,
poscorr1_binned,
poscorr2_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)
else:
(
time_original,
time_binned,
flux_binned_raw,
flux_binned,
flux_err_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)

# not necessary to take value from Quantity to do .multiply()
dx, dy = (
Expand All@@ -976,27 +1048,42 @@ def plot_time_model(self):
radius=self.time_radius,
spacing=self.cartesian_knot_spacing,
)
A2 = sparse.vstack([A_c] * time_binned.shape[0], format="csr")
# Cartesian spline with time dependence
# Cartesian spline with time dependence
seg_mask = (time_binned[:, 0] >= time_original[self.seg_splits[segment]]) & (
time_binned[:, 0] < time_original[self.seg_splits[segment + 1] - 1]
)
# find the right mask that select the binned times andd flux
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")

if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
# Cartesian spline with poscor dependence
A3 = _combine_A(A2, poscorr=[poscorr1_binned, poscorr2_binned])
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)
A3 = _combine_A(A2, time=time_binned[seg_mask])

model = A3.dot(self.time_model_w).reshape(flux_binned.shape) + 1
model = (
A3.dot(self.time_model_w[segment]).reshape(flux_binned[seg_mask].shape) + 1
)
fig, ax = plt.subplots(2, 2, figsize=(7, 6), facecolor="w")
k1 = self._time_masked.reshape(flux_binned.shape)[0]
k2 = self._time_masked.reshape(flux_binned.shape)[-1]
k1 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[0]
.astype(bool)
)
k2 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[-1]
.astype(bool)
)
im = ax[0, 0].scatter(
dx[k1],
dy[k1],
c=flux_binned[0][k1],
c=flux_binned[seg_mask][0][k1],
s=3,
vmin=0.5,
vmax=1.5,
Expand All@@ -1006,7 +1093,7 @@ def plot_time_model(self):
ax[0, 1].scatter(
dx[k2],
dy[k2],
c=flux_binned[-1][k2],
c=flux_binned[seg_mask][-1][k2],
s=3,
vmin=0.5,
vmax=1.5,
Expand DownExpand Up@@ -1531,7 +1618,17 @@ def fit_model(self, fit_va=False):
(self._whitened_time[tdx] ** np.arange(4))[:, None]
* np.ones(A_cp3.shape[1] // 4)
)
X.data *= A_cp3.multiply(t_mult).dot(self.time_model_w) + 1
# we make sure to use the `time_model_w` that correspond to the segment
# we are computing
seg_num = np.where(
[
(tdx >= self.seg_splits[k]) & (tdx < self.seg_splits[k + 1])
for k in range(len(self.seg_splits) - 1)
]
)[0]
X.data *= (
A_cp3.multiply(t_mult).dot(self.time_model_w[seg_num].ravel()) + 1
)
X = X.T

sigma_w_inv = X.T.dot(
Expand Down
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227 changes: 162 additions & 65 deletions src/psfmachine/machine.py
Original file line numberDiff line numberDiff line change
Expand Up@@ -17,6 +17,7 @@
sparse_lessthan,
_combine_A,
threshold_bin,
get_breaks,
)
from .aperture import optimize_aperture, compute_FLFRCSAP, compute_CROWDSAP

Expand DownExpand Up@@ -645,9 +646,7 @@ def _time_bin(self, npoints=200, downsample=False):
"""

# Where there are break points in the time array
splits = np.append(
np.append(0, np.where(np.diff(self.time) > 0.1)[0] + 1), len(self.time)
)
splits = get_breaks(self.time)
# if using poscorr, find and add discontinuity in poscorr data
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -681,10 +680,20 @@ def _time_bin(self, npoints=200, downsample=False):
# within them
breaks = []
for spdx in range(len(splits_a)):
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
# we include the last cadance as 99% of the sequence lenght
breaks.append(int(self.nt * 0.99))
breaks = np.hstack(breaks)
if not downsample:
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
else:
# if downsample, the knots are spaced by npoints untill the end of the
# segment
breaks.append(
np.linspace(
splits_a[spdx],
splits_b[spdx] - int(self.nt * 0.01),
dsplits[spdx],
dtype=int,
)
)
breaks = np.unique(np.hstack(breaks))

if not downsample:
# time averaged between breaks
Expand DownExpand Up@@ -722,13 +731,8 @@ def _time_bin(self, npoints=200, downsample=False):
]
)
else:
dwns_idx = (
np.vstack(
[np.median(t1) for t1 in np.array_split(np.arange(self.nt), breaks)]
)
.ravel()
.astype(int)
)
# use breaks as downsample points
dwns_idx = breaks
tm = self.time[dwns_idx]
ta = (self.time - tm.mean()) / (tm.max() - tm.mean())
fm = np.asarray(
Expand DownExpand Up@@ -783,6 +787,12 @@ def _time_bin(self, npoints=200, downsample=False):
)
pc1_smooth = np.array(pc1_smooth)
pc2_smooth = np.array(pc2_smooth)
pc1_smooth = (pc1_smooth - pc1_smooth.mean()) / (
pc1_smooth.max() - pc1_smooth.mean()
)
pc2_smooth = (pc2_smooth - pc2_smooth.mean()) / (
pc2_smooth.max() - pc2_smooth.mean()
)

# do poscorr binning
if not downsample:
Expand DownExpand Up@@ -810,7 +820,7 @@ def _time_bin(self, npoints=200, downsample=False):

return ta, tm, fm_raw, fm, fem

def build_time_model(self, plot=False, downsample=False):
def build_time_model(self, plot=False, downsample=False, split_time_model=False):
"""
Builds a time model that moves the PRF model to account for the scene movement
due to velocity aberration. It has two methods to choose from using the
Expand All@@ -827,6 +837,11 @@ def build_time_model(self, plot=False, downsample=False):
downsample: boolean
If True the `time` and `pos_corr` arrays will be downsampled instead of
binned.
split_time_model : boolean, list/array of ints
If `True` will split the light curve into segments to fit different time
models with a commong pixel normalization. If `False` will fit the full
time series as one segment. If list or numpy array of ints, will use the
index values as segment breaks.
"""
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -855,6 +870,7 @@ def build_time_model(self, plot=False, downsample=False):
) = self._time_bin(npoints=self.n_time_points, downsample=downsample)

self._whitened_time = time_original
self.downsample_time_knots = downsample
# not necessary to take value from Quantity to do .multiply()
dx, dy = (
self.uncontaminated_source_mask.multiply(self.dra),
Expand DownExpand Up@@ -882,56 +898,108 @@ def build_time_model(self, plot=False, downsample=False):
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw > 10).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No huge variability
k &= (
(np.abs(flux_binned - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned.shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned.ravel()) & np.isfinite(flux_err_binned.ravel())
prior_sigma = np.ones(A3.shape[1]) * 10
prior_mu = np.zeros(A3.shape[1])

for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(A3.multiply(1 / flux_err_binned.ravel()[:, None] ** 2)).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
((flux_binned.ravel() - 1) / flux_err_binned.ravel() ** 2)[k]
# fit the time model for each segment
# use user input
if isinstance(split_time_model, (np.ndarray, list)):
# we make sure first and last index are included and sorted
splits = np.unique(np.append(split_time_model, [0, len(self.time)]))
else:
# we find the splits in data
if split_time_model:
splits = get_breaks(self.time)
else:
splits = np.array([0, len(self.time)])

seg_time_model_w, pix_mask_k = [], []
# we iterate over segements
for bk in range(len(splits) - 1):
# find the right mask that select the binned times andd flux to fit the
# time model
seg_mask = (time_binned[:, 0] >= time_original[splits[bk]]) & (
time_binned[:, 0] < time_original[splits[bk + 1] - 1]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned - A3.dot(time_model_w).reshape(flux_binned.shape)
res = np.ma.masked_array(res, (~k).reshape(flux_binned.shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned.shape, bool) & bad_targets.any(axis=0)
# need to rebuild the A3 DM to use the rigth times/poscorrs
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
A3 = _combine_A(A2, time=time_binned[seg_mask])

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw[seg_mask] > 100).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# No huge variability
k &= (
(np.abs(flux_binned[seg_mask] - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned[seg_mask].shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned[seg_mask].ravel()) & np.isfinite(
flux_err_binned[seg_mask].ravel()
)

self.time_model_w = time_model_w
self._time_masked = k
# we solve the segment by using `seg_mask` on all `*_binned` variables
for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(
A3.multiply(1 / flux_err_binned[seg_mask].ravel()[:, None] ** 2)
).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
(
(flux_binned[seg_mask].ravel() - 1)
/ flux_err_binned[seg_mask].ravel() ** 2
)[k]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned[seg_mask] - A3.dot(time_model_w).reshape(
flux_binned[seg_mask].shape
)
res = np.ma.masked_array(res, (~k).reshape(flux_binned[seg_mask].shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned[seg_mask].shape, bool) & bad_targets.any(axis=0)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# we save the weights and pixel mask of each segement for later use
seg_time_model_w.append(time_model_w)
pix_mask_k.append(k)

self.seg_splits = splits
self.time_model_w = np.asarray(seg_time_model_w)
self._time_masked = np.asarray(pix_mask_k, dtype=object)
if plot:
return self.plot_time_model()
return

def plot_time_model(self):
def plot_time_model(self, segment=0):
"""
Diagnostic plot of time model.

Parameters
----------
segment : int
Which light curve segment will be plotted, default is first one.

Returns
-------
fig : matplotlib.Figure
Expand All@@ -951,15 +1019,19 @@ def plot_time_model(self):
poscorr2_smooth,
poscorr1_binned,
poscorr2_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)
else:
(
time_original,
time_binned,
flux_binned_raw,
flux_binned,
flux_err_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)

# not necessary to take value from Quantity to do .multiply()
dx, dy = (
Expand All@@ -976,27 +1048,42 @@ def plot_time_model(self):
radius=self.time_radius,
spacing=self.cartesian_knot_spacing,
)
A2 = sparse.vstack([A_c] * time_binned.shape[0], format="csr")
# Cartesian spline with time dependence
# Cartesian spline with time dependence
seg_mask = (time_binned[:, 0] >= time_original[self.seg_splits[segment]]) & (
time_binned[:, 0] < time_original[self.seg_splits[segment + 1] - 1]
)
# find the right mask that select the binned times andd flux
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")

if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
# Cartesian spline with poscor dependence
A3 = _combine_A(A2, poscorr=[poscorr1_binned, poscorr2_binned])
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)
A3 = _combine_A(A2, time=time_binned[seg_mask])

model = A3.dot(self.time_model_w).reshape(flux_binned.shape) + 1
model = (
A3.dot(self.time_model_w[segment]).reshape(flux_binned[seg_mask].shape) + 1
)
fig, ax = plt.subplots(2, 2, figsize=(7, 6), facecolor="w")
k1 = self._time_masked.reshape(flux_binned.shape)[0]
k2 = self._time_masked.reshape(flux_binned.shape)[-1]
k1 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[0]
.astype(bool)
)
k2 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[-1]
.astype(bool)
)
im = ax[0, 0].scatter(
dx[k1],
dy[k1],
c=flux_binned[0][k1],
c=flux_binned[seg_mask][0][k1],
s=3,
vmin=0.5,
vmax=1.5,
Expand All@@ -1006,7 +1093,7 @@ def plot_time_model(self):
ax[0, 1].scatter(
dx[k2],
dy[k2],
c=flux_binned[-1][k2],
c=flux_binned[seg_mask][-1][k2],
s=3,
vmin=0.5,
vmax=1.5,
Expand DownExpand Up@@ -1531,7 +1618,17 @@ def fit_model(self, fit_va=False):
(self._whitened_time[tdx] ** np.arange(4))[:, None]
* np.ones(A_cp3.shape[1] // 4)
)
X.data *= A_cp3.multiply(t_mult).dot(self.time_model_w) + 1
# we make sure to use the `time_model_w` that correspond to the segment
# we are computing
seg_num = np.where(
[
(tdx >= self.seg_splits[k]) & (tdx < self.seg_splits[k + 1])
for k in range(len(self.seg_splits) - 1)
]
)[0]
X.data *= (
A_cp3.multiply(t_mult).dot(self.time_model_w[seg_num].ravel()) + 1
)
X = X.T

sigma_w_inv = X.T.dot(
Expand Down
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227 changes: 162 additions & 65 deletions src/psfmachine/machine.py
Original file line numberDiff line numberDiff line change
Expand Up@@ -17,6 +17,7 @@
sparse_lessthan,
_combine_A,
threshold_bin,
get_breaks,
)
from .aperture import optimize_aperture, compute_FLFRCSAP, compute_CROWDSAP

Expand DownExpand Up@@ -645,9 +646,7 @@ def _time_bin(self, npoints=200, downsample=False):
"""

# Where there are break points in the time array
splits = np.append(
np.append(0, np.where(np.diff(self.time) > 0.1)[0] + 1), len(self.time)
)
splits = get_breaks(self.time)
# if using poscorr, find and add discontinuity in poscorr data
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -681,10 +680,20 @@ def _time_bin(self, npoints=200, downsample=False):
# within them
breaks = []
for spdx in range(len(splits_a)):
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
# we include the last cadance as 99% of the sequence lenght
breaks.append(int(self.nt * 0.99))
breaks = np.hstack(breaks)
if not downsample:
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
else:
# if downsample, the knots are spaced by npoints untill the end of the
# segment
breaks.append(
np.linspace(
splits_a[spdx],
splits_b[spdx] - int(self.nt * 0.01),
dsplits[spdx],
dtype=int,
)
)
breaks = np.unique(np.hstack(breaks))

if not downsample:
# time averaged between breaks
Expand DownExpand Up@@ -722,13 +731,8 @@ def _time_bin(self, npoints=200, downsample=False):
]
)
else:
dwns_idx = (
np.vstack(
[np.median(t1) for t1 in np.array_split(np.arange(self.nt), breaks)]
)
.ravel()
.astype(int)
)
# use breaks as downsample points
dwns_idx = breaks
tm = self.time[dwns_idx]
ta = (self.time - tm.mean()) / (tm.max() - tm.mean())
fm = np.asarray(
Expand DownExpand Up@@ -783,6 +787,12 @@ def _time_bin(self, npoints=200, downsample=False):
)
pc1_smooth = np.array(pc1_smooth)
pc2_smooth = np.array(pc2_smooth)
pc1_smooth = (pc1_smooth - pc1_smooth.mean()) / (
pc1_smooth.max() - pc1_smooth.mean()
)
pc2_smooth = (pc2_smooth - pc2_smooth.mean()) / (
pc2_smooth.max() - pc2_smooth.mean()
)

# do poscorr binning
if not downsample:
Expand DownExpand Up@@ -810,7 +820,7 @@ def _time_bin(self, npoints=200, downsample=False):

return ta, tm, fm_raw, fm, fem

def build_time_model(self, plot=False, downsample=False):
def build_time_model(self, plot=False, downsample=False, split_time_model=False):
"""
Builds a time model that moves the PRF model to account for the scene movement
due to velocity aberration. It has two methods to choose from using the
Expand All@@ -827,6 +837,11 @@ def build_time_model(self, plot=False, downsample=False):
downsample: boolean
If True the `time` and `pos_corr` arrays will be downsampled instead of
binned.
split_time_model : boolean, list/array of ints
If `True` will split the light curve into segments to fit different time
models with a commong pixel normalization. If `False` will fit the full
time series as one segment. If list or numpy array of ints, will use the
index values as segment breaks.
"""
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -855,6 +870,7 @@ def build_time_model(self, plot=False, downsample=False):
) = self._time_bin(npoints=self.n_time_points, downsample=downsample)

self._whitened_time = time_original
self.downsample_time_knots = downsample
# not necessary to take value from Quantity to do .multiply()
dx, dy = (
self.uncontaminated_source_mask.multiply(self.dra),
Expand DownExpand Up@@ -882,56 +898,108 @@ def build_time_model(self, plot=False, downsample=False):
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw > 10).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No huge variability
k &= (
(np.abs(flux_binned - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned.shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned.ravel()) & np.isfinite(flux_err_binned.ravel())
prior_sigma = np.ones(A3.shape[1]) * 10
prior_mu = np.zeros(A3.shape[1])

for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(A3.multiply(1 / flux_err_binned.ravel()[:, None] ** 2)).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
((flux_binned.ravel() - 1) / flux_err_binned.ravel() ** 2)[k]
# fit the time model for each segment
# use user input
if isinstance(split_time_model, (np.ndarray, list)):
# we make sure first and last index are included and sorted
splits = np.unique(np.append(split_time_model, [0, len(self.time)]))
else:
# we find the splits in data
if split_time_model:
splits = get_breaks(self.time)
else:
splits = np.array([0, len(self.time)])

seg_time_model_w, pix_mask_k = [], []
# we iterate over segements
for bk in range(len(splits) - 1):
# find the right mask that select the binned times andd flux to fit the
# time model
seg_mask = (time_binned[:, 0] >= time_original[splits[bk]]) & (
time_binned[:, 0] < time_original[splits[bk + 1] - 1]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned - A3.dot(time_model_w).reshape(flux_binned.shape)
res = np.ma.masked_array(res, (~k).reshape(flux_binned.shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned.shape, bool) & bad_targets.any(axis=0)
# need to rebuild the A3 DM to use the rigth times/poscorrs
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
A3 = _combine_A(A2, time=time_binned[seg_mask])

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw[seg_mask] > 100).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# No huge variability
k &= (
(np.abs(flux_binned[seg_mask] - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned[seg_mask].shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned[seg_mask].ravel()) & np.isfinite(
flux_err_binned[seg_mask].ravel()
)

self.time_model_w = time_model_w
self._time_masked = k
# we solve the segment by using `seg_mask` on all `*_binned` variables
for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(
A3.multiply(1 / flux_err_binned[seg_mask].ravel()[:, None] ** 2)
).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
(
(flux_binned[seg_mask].ravel() - 1)
/ flux_err_binned[seg_mask].ravel() ** 2
)[k]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned[seg_mask] - A3.dot(time_model_w).reshape(
flux_binned[seg_mask].shape
)
res = np.ma.masked_array(res, (~k).reshape(flux_binned[seg_mask].shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned[seg_mask].shape, bool) & bad_targets.any(axis=0)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# we save the weights and pixel mask of each segement for later use
seg_time_model_w.append(time_model_w)
pix_mask_k.append(k)

self.seg_splits = splits
self.time_model_w = np.asarray(seg_time_model_w)
self._time_masked = np.asarray(pix_mask_k, dtype=object)
if plot:
return self.plot_time_model()
return

def plot_time_model(self):
def plot_time_model(self, segment=0):
"""
Diagnostic plot of time model.

Parameters
----------
segment : int
Which light curve segment will be plotted, default is first one.

Returns
-------
fig : matplotlib.Figure
Expand All@@ -951,15 +1019,19 @@ def plot_time_model(self):
poscorr2_smooth,
poscorr1_binned,
poscorr2_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)
else:
(
time_original,
time_binned,
flux_binned_raw,
flux_binned,
flux_err_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)

# not necessary to take value from Quantity to do .multiply()
dx, dy = (
Expand All@@ -976,27 +1048,42 @@ def plot_time_model(self):
radius=self.time_radius,
spacing=self.cartesian_knot_spacing,
)
A2 = sparse.vstack([A_c] * time_binned.shape[0], format="csr")
# Cartesian spline with time dependence
# Cartesian spline with time dependence
seg_mask = (time_binned[:, 0] >= time_original[self.seg_splits[segment]]) & (
time_binned[:, 0] < time_original[self.seg_splits[segment + 1] - 1]
)
# find the right mask that select the binned times andd flux
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")

if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
# Cartesian spline with poscor dependence
A3 = _combine_A(A2, poscorr=[poscorr1_binned, poscorr2_binned])
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)
A3 = _combine_A(A2, time=time_binned[seg_mask])

model = A3.dot(self.time_model_w).reshape(flux_binned.shape) + 1
model = (
A3.dot(self.time_model_w[segment]).reshape(flux_binned[seg_mask].shape) + 1
)
fig, ax = plt.subplots(2, 2, figsize=(7, 6), facecolor="w")
k1 = self._time_masked.reshape(flux_binned.shape)[0]
k2 = self._time_masked.reshape(flux_binned.shape)[-1]
k1 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[0]
.astype(bool)
)
k2 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[-1]
.astype(bool)
)
im = ax[0, 0].scatter(
dx[k1],
dy[k1],
c=flux_binned[0][k1],
c=flux_binned[seg_mask][0][k1],
s=3,
vmin=0.5,
vmax=1.5,
Expand All@@ -1006,7 +1093,7 @@ def plot_time_model(self):
ax[0, 1].scatter(
dx[k2],
dy[k2],
c=flux_binned[-1][k2],
c=flux_binned[seg_mask][-1][k2],
s=3,
vmin=0.5,
vmax=1.5,
Expand DownExpand Up@@ -1531,7 +1618,17 @@ def fit_model(self, fit_va=False):
(self._whitened_time[tdx] ** np.arange(4))[:, None]
* np.ones(A_cp3.shape[1] // 4)
)
X.data *= A_cp3.multiply(t_mult).dot(self.time_model_w) + 1
# we make sure to use the `time_model_w` that correspond to the segment
# we are computing
seg_num = np.where(
[
(tdx >= self.seg_splits[k]) & (tdx < self.seg_splits[k + 1])
for k in range(len(self.seg_splits) - 1)
]
)[0]
X.data *= (
A_cp3.multiply(t_mult).dot(self.time_model_w[seg_num].ravel()) + 1
)
X = X.T

sigma_w_inv = X.T.dot(
Expand Down
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227 changes: 162 additions & 65 deletions src/psfmachine/machine.py
Original file line numberDiff line numberDiff line change
Expand Up@@ -17,6 +17,7 @@
sparse_lessthan,
_combine_A,
threshold_bin,
get_breaks,
)
from .aperture import optimize_aperture, compute_FLFRCSAP, compute_CROWDSAP

Expand DownExpand Up@@ -645,9 +646,7 @@ def _time_bin(self, npoints=200, downsample=False):
"""

# Where there are break points in the time array
splits = np.append(
np.append(0, np.where(np.diff(self.time) > 0.1)[0] + 1), len(self.time)
)
splits = get_breaks(self.time)
# if using poscorr, find and add discontinuity in poscorr data
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -681,10 +680,20 @@ def _time_bin(self, npoints=200, downsample=False):
# within them
breaks = []
for spdx in range(len(splits_a)):
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
# we include the last cadance as 99% of the sequence lenght
breaks.append(int(self.nt * 0.99))
breaks = np.hstack(breaks)
if not downsample:
breaks.append(splits_a[spdx] + np.arange(0, dsplits[spdx]) * npoints)
else:
# if downsample, the knots are spaced by npoints untill the end of the
# segment
breaks.append(
np.linspace(
splits_a[spdx],
splits_b[spdx] - int(self.nt * 0.01),
dsplits[spdx],
dtype=int,
)
)
breaks = np.unique(np.hstack(breaks))

if not downsample:
# time averaged between breaks
Expand DownExpand Up@@ -722,13 +731,8 @@ def _time_bin(self, npoints=200, downsample=False):
]
)
else:
dwns_idx = (
np.vstack(
[np.median(t1) for t1 in np.array_split(np.arange(self.nt), breaks)]
)
.ravel()
.astype(int)
)
# use breaks as downsample points
dwns_idx = breaks
tm = self.time[dwns_idx]
ta = (self.time - tm.mean()) / (tm.max() - tm.mean())
fm = np.asarray(
Expand DownExpand Up@@ -783,6 +787,12 @@ def _time_bin(self, npoints=200, downsample=False):
)
pc1_smooth = np.array(pc1_smooth)
pc2_smooth = np.array(pc2_smooth)
pc1_smooth = (pc1_smooth - pc1_smooth.mean()) / (
pc1_smooth.max() - pc1_smooth.mean()
)
pc2_smooth = (pc2_smooth - pc2_smooth.mean()) / (
pc2_smooth.max() - pc2_smooth.mean()
)

# do poscorr binning
if not downsample:
Expand DownExpand Up@@ -810,7 +820,7 @@ def _time_bin(self, npoints=200, downsample=False):

return ta, tm, fm_raw, fm, fem

def build_time_model(self, plot=False, downsample=False):
def build_time_model(self, plot=False, downsample=False, split_time_model=False):
"""
Builds a time model that moves the PRF model to account for the scene movement
due to velocity aberration. It has two methods to choose from using the
Expand All@@ -827,6 +837,11 @@ def build_time_model(self, plot=False, downsample=False):
downsample: boolean
If True the `time` and `pos_corr` arrays will be downsampled instead of
binned.
split_time_model : boolean, list/array of ints
If `True` will split the light curve into segments to fit different time
models with a commong pixel normalization. If `False` will fit the full
time series as one segment. If list or numpy array of ints, will use the
index values as segment breaks.
"""
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
Expand DownExpand Up@@ -855,6 +870,7 @@ def build_time_model(self, plot=False, downsample=False):
) = self._time_bin(npoints=self.n_time_points, downsample=downsample)

self._whitened_time = time_original
self.downsample_time_knots = downsample
# not necessary to take value from Quantity to do .multiply()
dx, dy = (
self.uncontaminated_source_mask.multiply(self.dra),
Expand DownExpand Up@@ -882,56 +898,108 @@ def build_time_model(self, plot=False, downsample=False):
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw > 10).any(axis=0)[None, :]
* np.ones(flux_binned_raw.shape, bool)
).ravel()
# No huge variability
k &= (
(np.abs(flux_binned - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned.shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned.ravel()) & np.isfinite(flux_err_binned.ravel())
prior_sigma = np.ones(A3.shape[1]) * 10
prior_mu = np.zeros(A3.shape[1])

for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(A3.multiply(1 / flux_err_binned.ravel()[:, None] ** 2)).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
((flux_binned.ravel() - 1) / flux_err_binned.ravel() ** 2)[k]
# fit the time model for each segment
# use user input
if isinstance(split_time_model, (np.ndarray, list)):
# we make sure first and last index are included and sorted
splits = np.unique(np.append(split_time_model, [0, len(self.time)]))
else:
# we find the splits in data
if split_time_model:
splits = get_breaks(self.time)
else:
splits = np.array([0, len(self.time)])

seg_time_model_w, pix_mask_k = [], []
# we iterate over segements
for bk in range(len(splits) - 1):
# find the right mask that select the binned times andd flux to fit the
# time model
seg_mask = (time_binned[:, 0] >= time_original[splits[bk]]) & (
time_binned[:, 0] < time_original[splits[bk + 1] - 1]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned - A3.dot(time_model_w).reshape(flux_binned.shape)
res = np.ma.masked_array(res, (~k).reshape(flux_binned.shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned.shape, bool) & bad_targets.any(axis=0)
# need to rebuild the A3 DM to use the rigth times/poscorrs
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")
if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
A3 = _combine_A(A2, time=time_binned[seg_mask])

# No saturated pixels
k = (
(flux_binned_raw < 1.4e5).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# No faint pixels
k &= (
(flux_binned_raw[seg_mask] > 100).all(axis=0)[None, :]
* np.ones(flux_binned_raw[seg_mask].shape, bool)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# No huge variability
k &= (
(np.abs(flux_binned[seg_mask] - 1) < 1).all(axis=0)[None, :]
* np.ones(flux_binned[seg_mask].shape, bool)
).ravel()
# No nans
k &= np.isfinite(flux_binned[seg_mask].ravel()) & np.isfinite(
flux_err_binned[seg_mask].ravel()
)

self.time_model_w = time_model_w
self._time_masked = k
# we solve the segment by using `seg_mask` on all `*_binned` variables
for count in [0, 1, 2]:
sigma_w_inv = A3[k].T.dot(
(
A3.multiply(1 / flux_err_binned[seg_mask].ravel()[:, None] ** 2)
).tocsr()[k]
)
sigma_w_inv += np.diag(1 / prior_sigma ** 2)
# Fit the flux - 1
B = A3[k].T.dot(
(
(flux_binned[seg_mask].ravel() - 1)
/ flux_err_binned[seg_mask].ravel() ** 2
)[k]
)
B += prior_mu / (prior_sigma ** 2)
time_model_w = np.linalg.solve(sigma_w_inv, B)
res = flux_binned[seg_mask] - A3.dot(time_model_w).reshape(
flux_binned[seg_mask].shape
)
res = np.ma.masked_array(res, (~k).reshape(flux_binned[seg_mask].shape))
bad_targets = sigma_clip(res, sigma=5).mask
bad_targets = (
np.ones(flux_binned[seg_mask].shape, bool) & bad_targets.any(axis=0)
).ravel()
# k &= ~sigma_clip(flux_binned.ravel() - A3.dot(time_model_w)).mask
k &= ~bad_targets
# we save the weights and pixel mask of each segement for later use
seg_time_model_w.append(time_model_w)
pix_mask_k.append(k)

self.seg_splits = splits
self.time_model_w = np.asarray(seg_time_model_w)
self._time_masked = np.asarray(pix_mask_k, dtype=object)
if plot:
return self.plot_time_model()
return

def plot_time_model(self):
def plot_time_model(self, segment=0):
"""
Diagnostic plot of time model.

Parameters
----------
segment : int
Which light curve segment will be plotted, default is first one.

Returns
-------
fig : matplotlib.Figure
Expand All@@ -951,15 +1019,19 @@ def plot_time_model(self):
poscorr2_smooth,
poscorr1_binned,
poscorr2_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)
else:
(
time_original,
time_binned,
flux_binned_raw,
flux_binned,
flux_err_binned,
) = self._time_bin(npoints=self.n_time_points)
) = self._time_bin(
npoints=self.n_time_points, downsample=self.downsample_time_knots
)

# not necessary to take value from Quantity to do .multiply()
dx, dy = (
Expand All@@ -976,27 +1048,42 @@ def plot_time_model(self):
radius=self.time_radius,
spacing=self.cartesian_knot_spacing,
)
A2 = sparse.vstack([A_c] * time_binned.shape[0], format="csr")
# Cartesian spline with time dependence
# Cartesian spline with time dependence
seg_mask = (time_binned[:, 0] >= time_original[self.seg_splits[segment]]) & (
time_binned[:, 0] < time_original[self.seg_splits[segment + 1] - 1]
)
# find the right mask that select the binned times andd flux
A2 = sparse.vstack([A_c] * time_binned[seg_mask].shape[0], format="csr")

if hasattr(self, "pos_corr1") and self.time_corrector in [
"pos_corr",
"centroid",
]:
# Cartesian spline with poscor dependence
A3 = _combine_A(A2, poscorr=[poscorr1_binned, poscorr2_binned])
A3 = _combine_A(
A2, poscorr=[poscorr1_binned[seg_mask], poscorr2_binned[seg_mask]]
)
else:
# Cartesian spline with time dependence
A3 = _combine_A(A2, time=time_binned)
A3 = _combine_A(A2, time=time_binned[seg_mask])

model = A3.dot(self.time_model_w).reshape(flux_binned.shape) + 1
model = (
A3.dot(self.time_model_w[segment]).reshape(flux_binned[seg_mask].shape) + 1
)
fig, ax = plt.subplots(2, 2, figsize=(7, 6), facecolor="w")
k1 = self._time_masked.reshape(flux_binned.shape)[0]
k2 = self._time_masked.reshape(flux_binned.shape)[-1]
k1 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[0]
.astype(bool)
)
k2 = (
self._time_masked[segment]
.reshape(flux_binned[seg_mask].shape)[-1]
.astype(bool)
)
im = ax[0, 0].scatter(
dx[k1],
dy[k1],
c=flux_binned[0][k1],
c=flux_binned[seg_mask][0][k1],
s=3,
vmin=0.5,
vmax=1.5,
Expand All@@ -1006,7 +1093,7 @@ def plot_time_model(self):
ax[0, 1].scatter(
dx[k2],
dy[k2],
c=flux_binned[-1][k2],
c=flux_binned[seg_mask][-1][k2],
s=3,
vmin=0.5,
vmax=1.5,
Expand DownExpand Up@@ -1531,7 +1618,17 @@ def fit_model(self, fit_va=False):
(self._whitened_time[tdx] ** np.arange(4))[:, None]
* np.ones(A_cp3.shape[1] // 4)
)
X.data *= A_cp3.multiply(t_mult).dot(self.time_model_w) + 1
# we make sure to use the `time_model_w` that correspond to the segment
# we are computing
seg_num = np.where(
[
(tdx >= self.seg_splits[k]) & (tdx < self.seg_splits[k + 1])
for k in range(len(self.seg_splits) - 1)
]
)[0]
X.data *= (
A_cp3.multiply(t_mult).dot(self.time_model_w[seg_num].ravel()) + 1
)
X = X.T

sigma_w_inv = X.T.dot(
Expand Down
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