Neural Network Library (DLL)

This is .NET library that implements functionality for creating and training neural networks (multilayer perceptron). The library built from scratch using C# for educational purposes and is under development and expansion. Neural computing doesn't use GPU, only CPU. The library provides easy-to-use classes and methods (APIs) for creating new neural networks, training and using them. The following settings are currently available (via the APIs):

• Configuration of neural networks: the number of layers and neurons in each of them.
• Activation functions: Sigmoid, TanH, Identity, ReLU, Gaussian.
• Loss functions: MSE, Arctan, RootMSE.
• Method for initializing the neuron weights: Zeros, Ones, Random, XavierUniform.
• Method for initializing the bias neurons (output signal): Zeros, Ones, Random.
• Method for optimizing of training: Stochastic Gradient Descent with Momentum (SGDM).

API

NeuralNet.Builder Class (fluent interface)

Provides methods for creating and initially configuring a neural network.

Methods	Parameters	Description
SetNeuronsInputLayer	uint inputNeurons	The number of neurons (sensors) for the input layer (don't have weights and don't participate in training). This setting determines the size of the input dataset. Without this parameter, a neural network cannot be created.
SetNeuronsForLayers	params uint[] neuronLayers	The numbers of neurons for the other layers. For example: .SetNeuronsForLayers(5, 10, 4) - 2 hidden layers (5 and 10 neurons) and output layer (4 neurons) will be created behind the input layer. Without this parameter, a neural network cannot be created.
SetWeightsInitializer	enum InitializerWeights weightsInitializer	Method for initializing the weight of neurons in all layers. For example: .SetWeightsInitializer(InitializerWeights.XavierUniform). The default value is InitializerWeights.Random.
SetBiasNeurons	bool isBiasNeurons, enum InitializerBias biasInitializer	The first parameter is responsible for using / not using bias. The second parameter is responsible for the method of initializing bias neurons. The default value is false.
SetActivationFunc	enum ActivationFunc activationFunc	Initial setting of the activation function. The default value is ActivationFunc.Sigmoid.
SetLearningOptimizing	enum LearningOptimizing learningOptimizing	Initial setting of the optimization method for training neural networks. The default value is LearningOptimizing.SGDM.
SetLossFunc	enum LossFunc lossFunc	Initial setting of the loss function. The default value is LossFunc.MSE.
SetLearningRate	float learningRate	Initial setting of the learning rate. The default value is 0.1.
SetMomentumRate	float momentumRate	Initial setting of the momentum rate. The default value is 0.9.

NeuralNet Class (properties)

Provides properties for using a neural network.

Properties	Type	Description
ActivationFunc	enum ActivationFunc	Get / Set activation function.
LearningOptimizing	enum LearningOptimizing	Get / Set optimization method.
LossFunc	enum LossFunc	Get / Set loss function.
LearningRate	float	Get / Set learning rate.
MomentumRate	float	Get / Set momentum rate.
LearningCounter	uint	Get the number of training epochs completed.

NeuralNet Class (methods)

Provides methods for using a neural network.

Methods	Signature	Description
Activate	float[][] Activate (float[][])	The command activates the neural network using the input dataset and returns the output dataset.
Learn	float Learn (float[][], float[][], uint)	The command trains the neural network up to the number of epochs. Takes the input parameters: input dataset (first parameter), expected output signals (second parameter) and number of training epochs (third parameter). Returns the current error after training.
Learn	void (float[][], float[][], double)	The command trains the neural network to a certain accuracy. Takes the input parameters: input dataset (first parameter), expected output signals (second parameter) and acceptable loss (third parameter). The lower the loss, the better a train. For example: .Learn(inputSignal, expectedSignals, 0.01) - trains the neural network up to 99% accuracy.
Learn	IEnumerable<float> (float[][], float[][], uint, uint)	The command trains the neural network up to the number of epochs and returns the result in periods. Takes the input parameters: input dataset (first parameter), expected output signals (second parameter), number of training epochs (third parameter) and number of training epochs to return the result (fourth parameter). Returns the current error after training.
Learn	IEnumerable<float> (float[][], float[][], double, uint);	The command trains the neural network to a certain accuracy and returns the result in periods. Takes the input parameters: input dataset (first parameter), expected output signals (second parameter), acceptable loss (third parameter) and number of training epochs to return the result (fourth parameter). Returns the current error after training.
CalculateError	float (float[][], float[][])	Calculates and returns the current error of the neural network. Takes the input parameters: input dataset (first parameter) and expected output signals (second parameter). Returns the current error.

How To Use

Step 1

1. Add this project to any of your projects, using the Solution Explorer -> Add -> Existing Project by right-clicking on the Solution Explorer.

or

1. Build this project, using the Solution Explorer -> Build Solution by right-clicking on the Solution Explorer.

2. Copy the created NeuralNetwork.dll file to the folder of your project, where the executable file (.exe) is located.

3. Add reference to NeuralNetwork.dll file, using the Reference -> Add Reference by right-clicking on the Reference in Solution Explorer.

Step 2

The second step is to create a neural network. To do this, use the methods in the NeuralNet.Builder class (fluent interface):

varneuralNet=newNeuralNet.Builder().SetNeuronsInputLayer(2)// Select the number of neurons (sensors) for the input layer.SetNeuronsForLayers(3,5,1)// Select the number of neurons for the other layers.SetWeightsInitializer(InitializerWeights.Random)// Select a method for assigning an initial value for the weight of neurons.SetBiasNeurons(true,InitializerBias.Ones)// Select a method for assigning an initial value for bias neurons.SetActivationFunc(ActivationFunc.Sigmoid)// Select an activation function.SetLearningOptimizing(LearningOptimizing.NAG)// Select a method for optimizing neural network training.SetLossFunc(LossFunc.MSE)// Select a loss function.SetLearningRate(0.1F)// Select a learning rate.SetMomentumRate(0.9F)// Select a momentum rate.Build();// Build the neural network

Step 3

The next step is to prepare the datasets for training. Currently, you can only use a jagged array (float) for dataset:

float[][]inputsSignals= ...;// Your own input dataset parserfloat[][]expectedSignals= ...;// Your own expected dataset parser

Step 4

Then for training the neural network just use the methods in the NeuralNet class:

varcurrentError=neuralNet.Learn(inputsSignals,expectedSignals,100);// Trains the neural network up to 100 epochs and returns the current error.

or

neuralNet.Learn(inputsSignals,expectedSignals,0.01);// Trains the neural network until current losses > acceptable losses (0.01 or 1%).

or

// Trains the neural network up to 100 epochs and returns the current error every 10 epochs.foreach(varlossinneuralNet.Learn(inputSignal,expectedSignals,100,10)){Console.Write($"Epoch: {neuralNet.LearningCounter}, Loss: {loss.ToString("P4")}");}

or

// Trains the neural network until current losses > acceptable losses (0.001 or 0.1%) and returns the current error every 1000 epochs.foreach(varlossinneuralNet.Learn(inputSignal,expectedSignals,0.001,1000)){Console.Write($"Epoch: {neuralNet.LearningCounter}, Loss: {loss.ToString("P4")}");}

Example with XOR sample

Input A	Input B	Output
0	0	0
0	1	1
1	0	1
1	1	0

float[][]inputSignal=newfloat[][]{newfloat[]{0,0},newfloat[]{0,1},newfloat[]{1,0},newfloat[]{1,1}};float[][]expectedSignals=newfloat[][]{newfloat[]{0},newfloat[]{1},newfloat[]{1},newfloat[]{0}};varneuralNet=newNeuralNet.Builder().SetNeuronsInputLayer(2)// 2 inputs (A and B) so 2 sensors (2 neurons of the input layer).SetNeuronsForLayers(3,1)// 3 neurons of the hidden layer and 1 neuron of the output layer.Build();// All other settings will be the defaultvarresult=neuralNet.Activate(inputSignal);// Get results without training the neural network

neuralNet.Learn(inputSignal,expectedSignals,10000);// Trains the neural network up to 10 000 epochsresult=neuralNet.Activate(inputSignal);// Get results after training the neural network

Licence

MIT License Copyright (c) 2020 Artem Glushkov