Stat.ML Papers@StatMLPapersJul 9, 2024A Theory of Machine Learning arxiv.orgA Theory of Machine LearningWe critically review three major theories of machine learning and provide a new theory according to which machines learn a function when the machines successfully compute it. We show that this...11311358958969K69K
Stat.ML Papers@StatMLPapersMay 11, 2021The Modern Mathematics of Deep Learning. (arXiv:2105.04026v1 [cs.LG]) ift.tt/3tFDH4u44111111510510
Stat.ML Papers@StatMLPapersMay 8, 2025Machine Learning: a Lecture Note arxiv.orgMachine Learning: a Lecture NoteThis lecture note is intended to prepare early-year master's and PhD students in data science or a related discipline with foundational ideas in machine learning. It starts with basic ideas in...22525250650631K31K
Stat.ML Papers@StatMLPapersMar 19, 2022The Mathematics of Artificial Intelligence. (arXiv:2203.08890v1 [cs.LG]) arxiv.orgThe Mathematics of Artificial IntelligenceWe currently witness the spectacular success of artificial intelligence in both science and public life. However, the development of a rigorous mathematical foundation is still at an early stage....11107107482482
Stat.ML Papers@StatMLPapersSep 5, 2024Introduction to Machine Learning arxiv.orgIntroduction to Machine LearningThis book introduces the mathematical foundations and techniques that lead to the development and analysis of many of the algorithms that are used in machine learning. It starts with an...747443443433K33K
Stat.ML Papers@StatMLPapersFeb 27, 2025Mathematical Introduction to Deep Learning: Methods, Implementations, and Theory arxiv.orgMathematical Introduction to Deep Learning: Methods,...This book aims to provide an introduction to the topic of deep learning algorithms. We review essential components of deep learning algorithms in full mathematical detail including different...11848444144123K23K
Stat.ML Papers@StatMLPapersJul 8, 2024A Survey on Statistical Theory of Deep Learning: Approximation, Training Dynamics, and Generative Models ift.tt/4bR3EZt22787838038026K26K
Stat.ML Papers@StatMLPapersSep 7, 2021A Farewell to the Bias-Variance Tradeoff? An Overview of the Theory of Overparameterized Machine Learning. (arXiv:2109.02355v1 [stat.ML]) ift.tt/38OCr7f7272358358
Stat.ML Papers@StatMLPapersJan 28, 2025Matrix Calculus (for Machine Learning and Beyond) arxiv.orgMatrix Calculus (for Machine Learning and Beyond)This course, intended for undergraduates familiar with elementary calculus and linear algebra, introduces the extension of differential calculus to functions on more general vector spaces, such as...11616134934920K20K
Stat.ML Papers@StatMLPapersAug 27, 2024Bayesian neural networks via MCMC: a Python-based tutorial arxiv.orgBayesian neural networks via MCMC: a Python-based tutorialBayesian inference provides a methodology for parameter estimation and uncertainty quantification in machine learning and deep learning methods. Variational inference and Markov Chain Monte-Carlo...595934734734K34K
Stat.ML Papers@StatMLPapersJun 14, 2024Step-by-Step Diffusion: An Elementary Tutorial arxiv.orgStep-by-Step Diffusion: An Elementary TutorialWe present an accessible first course on diffusion models and flow matching for machine learning, aimed at a technical audience with no diffusion experience. We try to simplify the mathematical...636334134127K27K
Stat.ML Papers@StatMLPapersJul 26, 2024Statistical optimal transport arxiv.orgStatistical optimal transportWe present an introduction to the field of statistical optimal transport, based on lectures given at École d'Été de Probabilités de Saint-Flour XLIX.22696932432433K33K
Stat.ML Papers@StatMLPapersDec 26, 2022Stop using the elbow criterion for k-means and how to choose the number of clusters instead. (arXiv:2212.12189v1 [stat.ML]) ift.tt/TJaIE2X11505031331363K63K
Stat.ML Papers@StatMLPapersOct 4, 2024Large Language Models as Markov Chains arxiv.orgLarge Language Models as Markov ChainsLarge language models (LLMs) are remarkably efficient across a wide range of natural language processing tasks and well beyond them. However, a comprehensive theoretical analysis of the LLMs'...11616129829828K28K
