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🔬Deep Dive
Math Foundations
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🔬Deep Dive
Math Foundations
Neural Networks
Transformer Architecture
Scaling
LLM Pre-training
Alignment Techniques
Reasoning Internals
Interpretability
Model Architectures
Hardware & Compute
Fine-tuning & Adaptation
Research Skills
AI Economics & Impact
Deep DiveMath Foundations

Math Foundations

The mathematical tools that underlie every neural network — linear algebra for weight matrices, probability theory for distributions, calculus for optimization, and information theory for measuring uncertainty.

In This Section

Linear Algebra for ML

Vectors, matrices, dot products, eigenvalues, and SVD — the operations neural networks perform at every layer.

Probability & Statistics for ML

Distributions, Bayes' theorem, MLE, and expectation — the statistical foundations of learning from data.

Calculus & Optimization for ML

Gradients, chain rule, convexity, and saddle points — how neural networks find good solutions.

Information Theory Basics

Entropy, cross-entropy, KL divergence, and mutual information — measuring uncertainty and information.

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