import unittest import numpy as np from neural_net.activation_layers.relu_layer import ReluLayer # noinspection PyMethodMayBeStatic class ReluLayerTests(unittest.TestCase): def test_relu_layer_1x1(self): ############## # Arrange # ############## inputs = np.array([[1.0]]) weights = np.array([[0.5]]) biases = np.array([0.0]) learning_rate = 0.001 # Pre-activation value (z) # This is the intermediate value calculated as the weighted sum of inputs plus the bias. z = np.dot(inputs, weights) + biases # ReLU activation: f(z) = max(0, z) # The expected output after applying the ReLU activation function expected_output = np.maximum(0, z) # Loss gradient dL/dout # Represents how much the loss changes when the output changes. dL_dout = np.array([[1.0]]) # Activation derivative dout/dz # For ReLU: If z > 0, dout/dz = 1; otherwise, dout/dz = 0 dout_dz = np.where(z > 0, 1.0, 0.0) # Gradient of the loss with respect to weights (dL/dweights) # This represents how much the loss changes when the weights change. # Formula: dL/dweights = inputs × dL/dout × σ′(z) expected_dl_dweights = inputs * dL_dout * dout_dz # Gradient of the loss with respect to the bias (dL/dbias) expected_dL_dbias = np.sum(dL_dout * dout_dz) # Gradient of the loss with respect to inputs (dL/dinputs) # This is the gradient of the loss with respect to the input of the neuron or layer, often needed if you want to backpropagate further. # Formula: dL / dinputs = dL/dout × σ′(z) × weights expected_dl_dinputs = dL_dout * dout_dz * weights # Calculate expected new weights and biases expected_weights = weights - learning_rate * expected_dl_dweights expected_biases = biases - learning_rate * expected_dL_dbias # Initialize SigmoidLayer layer = ReluLayer(weights.shape[0], weights.shape[1], weights=weights, biases=biases) ############## # Act # ############## # Forward pass output = layer.forward(inputs) # Backward pass dl_dinputs = layer.backward(dL_dout, learning_rate) ############## # Assert # ############## ############## # Assert # ############## # Forward output correctness self.assertTrue(np.allclose(output, expected_output, atol=1e-6), f"Forward output incorrect: Actual: {output}, Expected: {expected_output}") # Backward pass correctness self.assertTrue(np.allclose(dl_dinputs, expected_dl_dinputs, atol=1e-6), f"Inputs derivative incorrect Actual: {dl_dinputs}, expected: {expected_dl_dinputs}") self.assertTrue(np.allclose(layer.weights, expected_weights, atol=1e-6), f"Weight update incorrect Actual: {layer.weights}, expected: {expected_weights}") self.assertTrue(np.allclose(layer.biases, expected_biases, atol=1e-6), f"Bias update incorrect Actual: {layer.biases}, expected: {expected_biases}") def test_relu_layer_2x2(self): ############## # Arrange # ############## inputs = np.array([[1.0, 2.0], [3.0, 4.0]]) # 2x2 input matrix weights = np.array([[0.5, 0.2], [0.3, 0.7]]) # 2x2 weight matrix biases = np.array([0.1, -0.1]) # 2 biases, one for each neuron learning_rate = 0.001 # Learning rate for weight updates # Pre-activation value (z) # z = inputs.dot(weights) + biases z = np.dot(inputs, weights) + biases # Expected output using the ReLU activation function expected_output = np.maximum(0, z) # Apply ReLU # Loss gradient dL/dout (assuming a gradient of 1 for simplicity) dL_dout = np.array([[1.0, 1.0], [1.0, 1.0]]) # Activation derivative dout/dz # For ReLU: dout/dz = 1 where z > 0, and dout/dz = 0 where z <= 0 dout_dz = np.where(z > 0, 1.0, 0.0) # Expected gradients (for backpropagation) # Expected gradients with respect to weights expected_dl_dweights = np.dot(inputs.T, dL_dout * dout_dz) # Expected gradients with respect to biases expected_dL_dbias = np.sum(dL_dout * dout_dz, axis=0) # Expected gradients with respect to inputs expected_dl_dinputs = np.dot(dL_dout * dout_dz, weights.T) # Expected updated weights and biases after backpropagation expected_weights = weights - learning_rate * expected_dl_dweights expected_biases = biases - learning_rate * expected_dL_dbias # Initialize the ReLU Layer layer = ReluLayer(weights.shape[0], weights.shape[1], weights=weights, biases=biases) ############## # Act # ############## # Forward pass output = layer.forward(inputs) # Backward pass dl_dinputs = layer.backward(dL_dout, learning_rate) ############## # Assert # ############## # Forward output correctness self.assertTrue(np.allclose(output, expected_output, atol=1e-6), f"Forward output incorrect: Actual: {output}, Expected: {expected_output}") # Backward pass correctness (for input gradients) self.assertTrue(np.allclose(dl_dinputs, expected_dl_dinputs, atol=1e-6), f"Inputs derivative incorrect Actual: {dl_dinputs}, Expected: {expected_dl_dinputs}") # Check weight updates self.assertTrue(np.allclose(layer.weights, expected_weights, atol=1e-6), f"Weight update incorrect Actual: {layer.weights}, Expected: {expected_weights}") # Check bias updates self.assertTrue(np.allclose(layer.biases, expected_biases, atol=1e-6), f"Bias update incorrect Actual: {layer.biases}, Expected: {expected_biases}")