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https://github.com/pngo1997/neural-network-backpropagation-optimization

Explores key concepts in Neural Network training.
https://github.com/pngo1997/neural-network-backpropagation-optimization

backpropagation cross-entropy deep-learning neural-network python quadratic-cost stochastic-gradient-descent

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Explores key concepts in Neural Network training.

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# 🧠 Neural Network Backpropagation & Optimization

## 📜 Overview
This project explores key concepts in **Neural Network Training**, including:
1. **Forward Propagation in Neural Networks**
2. **Alternative Syntax Optimization**
3. **Backpropagation Code Explanation**
4. **Derivation for Cross-Entropy Cost Function Optimization**

📌 **Programming Language**: `Python 3`
📌 **Frameworks Used**: `NumPy`, `Jupyter Notebook`

## 🚀 1️⃣ Forward Propagation in Neural Networks
Analyze and compare **two implementations of forward propagation**:
- `feedforward()` – Used for evaluation/testing.
- `backprop()` – Performs forward propagation as part of backpropagation.

## 🛠 2️⃣ Alternative Syntax for Mini-Batch Creation
Optimize the mini-batch creation syntax from `SGD()` function.

## 🔢 3️⃣ Derivation of Cross-Entropy Cost Function
Compare Quadratic vs. Cross-Entropy Cost Functions and derive why bias terms vanish in optimization.