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02-02Notes

A working library of the mathematics behind the analysis.

524 notes in 7 areas, from notation to machine learning. Each takes one formula: what it says, a small worked example, and code that runs. Revised in place. Page 21 of 22.

IndexAll notes

02-02-481Maximum A Posteriori, MAPMachine learningEmpirical risk and its minimisation 02-02-482Negative Log-LikelihoodMachine learningEmpirical risk and its minimisation 02-02-483Nested Cross-ValidationMachine learningModel selection and cross-validation 02-02-484Fisher–Neyman Factorization TheoremMachine learningSufficient statistics and the Fisher–Neyman theorem 02-02-485Conjugate PriorMachine learningThe exponential family 02-02-486General FormMachine learningThe exponential family 02-02-487Bipartite GraphMachine learningGraph foundations and the Laplace matrix 02-02-488Complete Bipartite GraphMachine learningGraph foundations and the Laplace matrix 02-02-489Graph DefinitionMachine learningGraph foundations and the Laplace matrix 02-02-490Expected Hitting Time (Random Walks)Machine learningMarkov processes in networks 02-02-491PageRank (Centrality) ConstraintMachine learningMarkov processes in networks 02-02-492Connected Components (Spectral Property)Machine learningThe spectrum of a graph 02-02-493Graph Spectrum ConstraintMachine learningThe spectrum of a graph 02-02-494Boundary OperatorMachine learningSimplicial complexes and homology 02-02-495Filtration of Simplicial ComplexesMachine learningSimplicial complexes and homology 02-02-496ProfitEconomics and businessGeneral profitability 02-02-497Profit MarginEconomics and businessGeneral profitability 02-02-498Compound Interest (Annual)Economics and businessInterest and growth 02-02-499Compound Interest (Discrete)Economics and businessInterest and growth 02-02-500Continuous InterestEconomics and businessInterest and growth 02-02-501Simple Interest AccruedEconomics and businessInterest and growth 02-02-502Churn RateEconomics and businessUnit economics and SaaS metrics 02-02-503Customer Acquisition Cost (CAC)Economics and businessUnit economics and SaaS metrics 02-02-504Customer Lifetime Value, LTVEconomics and businessUnit economics and SaaS metrics