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Machine Learning · February 2024 · 1 min read

Neural Network from Scratch

Pure NumPy implementation achieving 99.6% MNIST accuracy through optimized gradient descent, backpropagation, and regularization techniques.

PythonNumPyMachine LearningOptimization

Pure NumPy neural network achieving 99.6% MNIST accuracy. Hand-coded gradients, optimized SGD, and regularization — no frameworks, complete algorithmic transparency.

architecture784→128→64→10 fully connected with ReLU performance99.6% test accuracy, 2-minute training implementation400 lines pure NumPy, gradient verification

Training Results

Convergence Analysis: Loss decreases smoothly, gradients decay exponentially, learning rate schedule prevents overshooting.

Performance Breakdown: Per-digit accuracy analysis reveals systematic patterns. Digits 8/9 most challenging due to visual similarity.

Activation Function Comparison: ReLU eliminates vanishing gradients, enabling 10× faster training than sigmoid while achieving superior accuracy.

#neural-networks#gradient-descent#backpropagation

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