Algorithms and Mathematics

Mathematical foundations and algorithms underpin all of machine learning and artificial intelligence. A solid understanding of these concepts enables deeper insight into how models learn and make predictions.1


Topics in This Section

TopicDescription
Linear Algebra EssentialsVectors, matrices, eigenvalues, SVD
Probability & StatisticsDistributions, Bayes theorem, hypothesis testing
Calculus for MLGradients, chain rule, optimization
Graph AlgorithmsCommunity detection, network analysis
Clustering AlgorithmsK-means, Louvain, Leiden, hierarchical clustering
Information TheoryEntropy, KL divergence, mutual information

Learning Path

Linear Algebra → Calculus for ML → Probability & Statistics → Information Theory

  • Apply to neural networks? See 01 - AI Fundamentals
  • Graph-based ML? See Community Detection
  • Understanding loss functions? See Loss Functions

References


  1. Strang, G. (2019). Linear Algebra and Learning from Data. Wellesley-Cambridge Press. https://math.mit.edu/~gs/learningfromdata/ ↩︎