Add CNN Algorithm

machine_learning/cnn.py

@@ -0,0 +1,67 @@
+"""
+Convolutional Neural Network (CNN) implementation for image classification.
+
+Reference: https://en.wikipedia.org/wiki/Convolutional_neural_network
+
+>>> import numpy as np
+>>> model = SimpleCNN(input_shape=(1, 28, 28), num_classes=10)
+>>> dummy_input = np.random.rand(1, 28, 28)
+>>> output = model.forward(dummy_input)
+>>> output.shape
+(10,)
+"""
+
+import numpy as np
+from typing import Tuple
+
+
+class SimpleCNN:
+ def __init__(self, input_shape: Tuple[int, int, int], num_classes: int) -> None:
+ """
+ Initialize a simple CNN model.
+
+ Args:
+ input_shape: Tuple of (channels, height, width)
+ num_classes: Number of output classes
+ """
+ self.input_shape = input_shape
+ self.num_classes = num_classes
+ self.filters = np.random.randn(8, input_shape[0], 3, 3) * 0.1 # 8 filters
+ self.fc_weights = np.random.randn(8 * 26 * 26, num_classes) * 0.1
+
+ def relu(self, x: np.ndarray) -> np.ndarray:
+ """Apply ReLU activation."""
+ return np.maximum(0, x)
+
+ def convolve(self, x: np.ndarray, filters: np.ndarray) -> np.ndarray:
+ """Apply convolution operation."""
+ batch, height, width = x.shape
+ num_filters, _, fh, fw = filters.shape
+ output = np.zeros((num_filters, height - fh + 1, width - fw + 1))
+
+ for f in range(num_filters):
+ for i in range(height - fh + 1):
+ for j in range(width - fw + 1):
+ region = x[:, i:i + fh, j:j + fw]
+ output[f, i, j] = np.sum(region * filters[f])
+ return output
+
+ def flatten(self, x: np.ndarray) -> np.ndarray:
+ """Flatten the feature map."""
+ return x.reshape(-1)
+
+ def forward(self, x: np.ndarray) -> np.ndarray:
+ """
+ Forward pass through the CNN.
+
+ Args:
+ x: Input image of shape (channels, height, width)
+
+ Returns:
+ Output logits of shape (num_classes,)
+ """
+ conv_out = self.convolve(x, self.filters)
+ activated = self.relu(conv_out)
+ flattened = self.flatten(activated)
+ logits = flattened @ self.fc_weights
+ return logits