🖼️ Convolutional Neural Networks (CNN)

What is a Convolutional Neural Network?

Convolutional Neural Networks (CNNs) are specialized neural networks designed for processing grid-like data, especially images. They use a mathematical operation called convolution to automatically learn spatial hierarchies of features—from simple edges to complex patterns. CNNs revolutionized computer vision and are behind facial recognition, self-driving cars, and medical image analysis.

📚 Key Concepts

Architecture Layers

  • Convolutional Layer: Detects features using filters
  • Pooling Layer: Reduces spatial dimensions
  • Activation (ReLU): Adds non-linearity
  • Fully Connected: Final classification

How It Works

  • Filters slide across the image (convolution)
  • Each filter detects specific features
  • Early layers find edges and textures
  • Deeper layers recognize complex patterns

Key Operations

  • Convolution: Feature extraction
  • Pooling: Downsampling (Max/Average)
  • Stride: Filter movement step size
  • Padding: Preserve spatial dimensions

Applications

  • Image classification and recognition
  • Object detection and segmentation
  • Face recognition and verification
  • Medical image diagnosis

🎨 Interactive Convolution Visualization

Watch how a convolutional filter detects edges in an image

The filter slides across the image, detecting features at each position

🔑 Key Insight

CNNs use parameter sharing and local connectivity to process images efficiently. Instead of connecting every pixel to every neuron (like feedforward networks), CNNs use small filters that detect local patterns. The same filter is reused across the entire image, dramatically reducing parameters while maintaining translation invariance—meaning the network can recognize a cat whether it's in the top-left or bottom-right corner.

🌟 Real-World Example: Image Classification

When a CNN identifies a dog in a photo:

Layer 1 (Conv): 32 filters detect edges, corners, and basic textures
Layer 2 (Pool): Reduce image size by 2x, keep important features
Layer 3 (Conv): 64 filters combine edges into shapes (eyes, ears, nose)
Layer 4 (Pool): Further dimensionality reduction
Layer 5 (Conv): 128 filters recognize complex patterns (dog face, body)
Layer 6 (FC): Combines all features to classify: "Golden Retriever, 95% confidence"

⚡ How CNNs Process Images

1. Input: Raw pixel values (e.g., 224×224×3 RGB image)
2. Convolution: Apply filters to extract features at each position
3. Activation: Apply ReLU to introduce non-linearity
4. Pooling: Downsample to reduce spatial dimensions and computation
5. Repeat: Stack multiple conv-activation-pool blocks
6. Flatten: Convert 3D feature maps to 1D vector
7. Fully Connected: Standard neural network layers for classification
8. Softmax: Output probabilities for each class

✅ Advantages

  • Automatically learns features from data
  • Translation invariant (detects patterns anywhere)
  • Parameter efficient through weight sharing
  • Hierarchical feature learning
  • State-of-the-art for image tasks

⚠️ Limitations

  • Requires large amounts of training data
  • Computationally expensive to train
  • Not rotation invariant by default
  • Struggles with spatial relationships
  • Can be fooled by adversarial examples
🎮 Play the CNN Game →