Vinit Vyas
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machine-learning

2 posts

Oct 8, 2025·131 min read·foundation

Multi-Layer Perceptrons: How Neural Networks Bend Space to See

Why does a 3-layer network solve problems a 1000-neuron single layer cannot? Understanding forward propagation, the exponential efficiency of depth, and how simple operations compose into hierarchical reasoning.

Sep 30, 2025·110 min read·foundation

Gradient Descent: Theory, Mathematics, and Implementation

Why does walking downhill in parameter space solve everything from linear regression to GPT? A rigorous treatment of gradient descent: convergence theory, variants and the challenges of real-world optimization.

2026
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