Deep Learning Basics: Architectures & Training

Introduction: Beyond Shallow Networks

You've mastered neural networks with 1-2 hidden layers. But what about deep networks with 10, 50, or even 1000 layers?

Deep learning powers modern AI breakthroughs:

• Image Recognition: ResNet (152 layers)
• Language Models: GPT-4 (hundreds of layers)
• Game AI: AlphaGo, AlphaZero

Key Insight: Deeper networks learn hierarchical representations – from edges to textures to objects!

Learning Objectives

• Understand why depth matters
• Master regularization techniques (dropout, L2)
• Learn advanced optimization (Adam, RMSprop)
• Apply batch normalization
• Handle vanishing/exploding gradients
• Build and train deep networks
• Use transfer learning

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1. Why Go Deep?

Hierarchical Feature Learning

Deep networks learn increasingly abstract features:

Computer Vision Example:

• Layer 1: Edges, corners
• Layer 2: Textures, simple shapes
• Layer 3: Object parts (eyes, wheels)
• Layer 4: Complete objects (faces, cars)

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2. Regularization Techniques

Dropout

Idea: Randomly "drop" neurons during training to prevent overfitting.

How it works:

• During training: Each neuron has probability $p$ of being dropped
• During inference: Use all neurons, scale activations by $(1-p)$

L2 Regularization (Weight Decay)

Add penalty for large weights to loss:

$$\mathcal{L}_{total} = \mathcal{L}_{data} + \lambda \sum_{i,j} w_{ij}^2$$

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3. Advanced Optimizers

Adam (Adaptive Moment Estimation)

Combines momentum and adaptive learning rates:

$$m_t = \beta_1 m_{t-1} + (1-\beta_1) g_t$$ $$v_t = \beta_2 v_{t-1} + (1-\beta_2) g_t^2$$ $$w_t = w_{t-1} - \alpha \frac{m_t}{\sqrt{v_t} + \epsilon}$$

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4. Batch Normalization

Problem: Internal covariate shift – layer inputs' distributions change during training.

Solution: Normalize layer inputs:

$$\hat{x} = \frac{x - \mu}{\sqrt{\sigma^2 + \epsilon}}$$

Benefits:

• Faster training
• Higher learning rates possible
• Less sensitive to initialization
• Acts as regularization

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Key Takeaways

✅ Deep networks learn hierarchical features from simple to complex

✅ Dropout prevents overfitting by randomly dropping neurons during training

✅ L2 regularization penalizes large weights

✅ Adam optimizer combines momentum and adaptive learning rates

✅ Batch normalization stabilizes training and enables higher learning rates

✅ Transfer learning reuses features learned on large datasets

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What's Next?

Next lesson: Time Series Analysis – forecasting, ARIMA, LSTMs, and temporal patterns!