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b/lecture03/notes_03.ipynb @@ -268,6 +268,21 @@ "# Print just the first few outputs\n", "print(dense1.output[:5])\n" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Activation Function: ReLU\n", + "Rectified Linear Unit\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/lecture03/notes_03.pdf b/lecture03/notes_03.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d087af2a1ab6c41adbff27c75e6a6d277ccba1a7 GIT binary patch literal 75505 zcmb5V1#o3ObD%wDW@ct)d(8GVGcz+YGc(&`W@ct)w#Ur&n3);p_xmMP+5I=0WUEf8 zbgon_snwF6+kHeP4-lneqGy99JGi-gfo5hTWF)jRw1np2VGy;jb~bTj5VbaNHUXFz z*%_NKNSoN2IhzwQGqW=D@j*K|JDM2SK)bImX-e7Qa=`XHt4$Hq6+DA5Mi&U65VoTB zfbp(wTYK6^lJh=Xr+UgGH#a^_)p$ehP0!ei9Z*CPbD^eQN2zmuphP9zjHZ^_**^pE z=}jIByZya;wtJrJd^SXil`wd4^wTCymBy^!RPS$soBZ6pr#pV@Ye&l3=xa~B!Qv80O|$(9Y$^tEkr zlf4-M%MTAss#`6v;FO^Z5%ZEJ8AC4d#Yiwa`GPJG*sRg=pEJV?*^w(V+f;LtE^q9@ 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--git a/lecture03/notes_03.py b/lecture03/notes_03.py new file mode 100644 index 0000000..2f2f59d --- /dev/null +++ b/lecture03/notes_03.py @@ -0,0 +1,174 @@ +# %% [markdown] +# # Layer of Neurons and Batch of Data Using Numpy +# From lecture 1, 1 layer of 3 neurons + +# %% +import numpy as np + +inputs = [ # Batch of inputs + [1.0, 2.0, 3.0, 2.5], + [2.0, 5.0, -1.0, 2.0], + [-1.5, 2.7, 3.3, -0.8] +] +weights = np.array([ + [0.2, 0.8, -0.5, 1], + [0.5, -0.91, 0.26, -0.5], + [-0.26, -0.27, 0.17, 0.87] +]) +biases = [2.0, 3.0, 0.5] + +outputs = np.dot(inputs, weights.T) + biases +# For every row of inputs, compute the dot of input set and weights +print(outputs) + +# %% [markdown] +# # 2 Layers and Batch of Data Using Numpy +# 2 layers. Layer 1 and layer 2 have 3 neurons. Therefore, there are 3 final outputs. +# +# There are 3 batches of input data to generate 3 total output arrays. + +# %% +import numpy as np + +inputs = [[1, 2, 3, 2.5], + [2., 5., -1., 2], + [-1.5, 2.7, 3.3, -0.8]] + +weights = [[0.2, 0.8, -0.5, 1], + [0.5, -0.91, 0.26, -0.5], + [-0.26, -0.27, 0.17, 0.87]] + +biases = [2, 3, 0.5] + +weights2 = [[0.1, -0.14, 0.5], + [-0.5, 0.12, -0.33], + [-0.44, 0.73, -0.13]] + +biases2 = [-1, 2, -0.5] + +# Make the lists np.arrays so we can transpose them +inputs_array = np.array(inputs) +weights_array = np.array(weights) +biases_array = np.array(biases) +weights2_array = np.array(weights2) +biases2_array = np.array(biases2) + +# Get the output of the first layer +layer1_outputs = np.dot(inputs_array, weights_array.T) + biases_array + +# Feed the output of the first layer into the second layer with their own weights +layer2_outputs = np.dot(layer1_outputs, weights2_array.T) + biases2_array + +print(layer2_outputs) + +# %% [markdown] +# # 4 Layers and Batch of Data Using Numpy +# Cascading neural network with 4 layers. Layer 1 has 4 neurons, layer 2 has 3, layer 3 has 2 and layer 4 has a single output. + +# %% +import numpy as np + +# Batch of inputs +inputs = [ + [1, 2, 3, 2.5], + [2., 5., -1., 2], + [-1.5, 2.7, 3.3, -0.8] +] + +# Weights are stored in a list of np.array +# index 0 = layer 1 weights and so on +weights = [ + np.array([ # Layer 1 + [0.2, 0.8, -0.5, 1], # Neuron 1.1 + [0.5, -0.91, 0.26, -0.5], # Neuron 1.2 + [-0.26, -0.27, 0.17, 0.87], # Neuron 1.3 + [-0.27, 0.87, 0.2, 0.8], # Neuron 1.4 + ]), + np.array([ # Layer 2 + [0.1, 0.65, -0.24, 1.2], # Neuron 2.1 + [0.51, -0.21, 0.206, -0.05], # Neuron 2.2 + [-0.46, -0.67, 0.14, 0.37], # Neuron 2.3 + ]), + np.array([ # Layer 3 + [0.25, 0.4, -0.2], # Neuron 3.1 + [0.58, -0.25, 0.26], # Neuron 3.2 + ]), + np.array([ # Layer 4 + [0.3, 0.1], # Neuron 4.1 + ]) +] +biases = [ + [0.5, 2, 1, -2], # Layer 1 + [0.2, -0.6, 1.3,], # Layer 2 + [-1, 0.5,], # Layer 3 + [0.28], # Layer 4 +] + +# Iterate through each layer, get the output of the layer, use it as the input for the next layer +layer_inputs = inputs +layer_outputs = np.array([]) +for layer in range(len(weights)): + layer_weights = weights[layer] + layer_biases = biases[layer] + layer_outputs = np.dot(layer_inputs, layer_weights.T) + layer_biases + + # Update the inputs for the next layer based on the outputs of this layer + layer_inputs = layer_outputs +# layer_outputs is left holding the final outputs of the network + +print(layer_outputs) + +# %% [markdown] +# # Generating Non Linear Training Data +# Generate 2D training data, x and y + +# %% +from nnfs.datasets import spiral_data +import numpy as np +import nnfs +nnfs.init() +import matplotlib.pyplot as plt +X, y = spiral_data(samples=100, classes=3) +plt.scatter(X[:, 0], X[:, 1], c=y, cmap='brg') +plt.show() + +# %% [markdown] +# # Dense Layer Class +# Given number of neurons and inputs in the layer, predict the output by assigning weights and biases. + +# %% +import numpy as np +import nnfs +from nnfs.datasets import spiral_data +nnfs.init() + +class Layer_Dense: + def __init__(self, n_inputs, n_neurons): + # Initialize the weights and biases + self.weights = 0.01 * np.random.randn(n_inputs, n_neurons) # Normal distribution of weights + self.biases = np.zeros((1, n_neurons)) + + def forward(self, inputs): + # Calculat ethe output values from inputs, weights, and biases + self.output = np.dot(inputs, self.weights) + self.biases # Weights are already transposed + +# Create a dataset +X, y = spiral_data(samples=100, classes=3) +# Create a dense layer with 2 inputs and 3 output values +dense1 = Layer_Dense(2, 3) +# Perform a forward pass of the dataset through the dense layer +dense1.forward(X) + +# Print just the first few outputs +print(dense1.output[:5]) + + +# %% [markdown] +# # Activation Function: ReLU +# Rectified Linear Unit +# + +# %% + + +

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