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Lecture 12: Neural Networks II

Lecture 12: Neural Networks II

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Lecture 12: Neural Networks II
Introduction
Multi-Layer Perceptron Review
The XOR Problem
MLP Architecture
Matrix Notation
Multi-Class Classification
Multiple Output Neurons
Softmax Function
Loss Functions
Binary Cross-Entropy Loss
Cross-Entropy Loss (Softmax Loss)
Calculus Review
Derivatives of Single-Variable Functions
Derivative Rules
Partial Derivatives
Gradient
Gradient Descent
Algorithm
Minibatch Stochastic Gradient Descent
Non-Convex Optimization
Computing Gradients with Backpropagation
Single Layer Example
Two Layer Example
Gradients with Respect to Inputs
Practice Problems
Key Takeaways
Suggested Reading