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reference

Useful books, papers, and lectures list

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Table of Contents

Template (Sample)

The following two entries serve as templates for organizing other resources.

  • Understanding Deep Learning - Simon J.D. Prince, MIT Press, 2023

    • Link: [Website] [PDF] [GitHub]
    • Note: Comprehensive textbook covering deep learning fundamentals to advanced topics (Transformers, Diffusion Models). Balances theory and practice with clear visualizations.
  • Theoretical Foundations of Conformal Prediction - Anastasios N. Angelopoulos, Rina Foygel Barber, Stephen Bates, Cambridge University Press (forthcoming), 2024

    • Link: [arXiv] [PDF]
    • Note: Research monograph on the theoretical foundations of conformal prediction and distribution-free inference. Covers permutation tests, exchangeability, and finite-sample guarantees for prediction sets.

Deep Learning

Book

  • Deep Learning - Ian Goodfellow, Yoshua Bengio, Aaron Courville, MIT Press, 2016

    • Link: [Website]
    • Note: Classic textbook covering mathematical foundations (linear algebra, probability, information theory) through CNNs, RNNs, and generative models.
  • Understanding Deep Learning - Simon J.D. Prince, MIT Press, 2023

    • Link: [Website] [PDF] [GitHub]
    • Note: Comprehensive textbook covering deep learning fundamentals to advanced topics (Transformers, Diffusion Models). Balances theory and practice with clear visualizations.

Paper

Lecture

  • Learn PyTorch for Deep Learning: Zero to Mastery - Daniel Bourke, 2023

Statistical Learning

Book

  • The Elements of Statistical Learning - Trevor Hastie, Robert Tibshirani, Jerome Friedman, Springer, 2nd Edition, 2009

    • Link: [Website] [PDF]
    • Note: Comprehensive treatment of statistical learning methods including regularization, kernel methods, trees, boosting, and neural networks.
  • Foundations of Machine Learning - Mehryar Mohri, Afshin Rostamizadeh, and Ameet Talwalkar, MIT Press, 2nd Edition, 2018.

    • Link: [Website] [PDF]
    • Note: Covers PAC learning, rademacher complexity, support vector machines, boosting, on-line learning, algorithmic stability, dimensionality reduction, reinforcement learning, etc.
  • Learning Theory from First Principles - Francis Bach, MIT Press, 2024.

    • Link: [Website] [PDF]
    • Note: Theoretical presentation of machine learning algorithms, with an emphasis on providing simple proofs with minimum prerequisites

Paper

Lecture

Conformal Prediction

Book

  • Theoretical Foundations of Conformal Prediction - Anastasios N. Angelopoulos, Rina Foygel Barber, Stephen Bates, Cambridge University Press (forthcoming), 2024
    • Link: [arXiv] [PDF]
    • Note: Research monograph on the theoretical foundations of conformal prediction and distribution-free inference. Covers permutation tests, exchangeability, and finite-sample guarantees for prediction sets.

Paper

  • A Gentle Introduction to Conformal Prediction and Distribution-Free Uncertainty Quantification - Anastasios N. Angelopoulos, Stephen Bates, 2021

    • Link: [arXiv]
    • Note: Accessible tutorial on conformal prediction basics, split conformal, and coverage guarantees.
  • Predictive Inference with the Jackknife+ - Rina Foygel Barber, Emmanuel J. Candès, Aaditya Ramdas, Ryan J. Tibshirani, Annals of Statistics, 2021

    • Link: [arXiv]
    • Note: Introduces Jackknife+ and CV+ methods for distribution-free predictive inference.

Lecture

Markov Chain Monte Carlo (MCMC)

Book

Paper

Lecture

Bayesian Nonparametric Modeling

Book

  • Gaussian Processes for Machine Learning - Carl Rasmussen, Christopher Williams, MIT Press, 2006

    • Link: [Website] [PDF]
    • Note: Reference for gaussian processes from a machine learning context.
  • Bayesian Optimization - Roman Garnett, Cambridge University Press, 2023

    • Link: [Website] [PDF]
    • Note: Nice, comprehensive introduction to gaussian processes and bayesian optimization

Paper

Lecture

Uncertainty Quantification

Book

Paper

Lecture

Optimal Transport

Book

Paper

Lecture

Information Theory

Book

  • Information Theory: From Coding to Learning - Yury Polyanskiy, Yihong Wu, Cambridge University Press, 2023

    • Link: [PDF]
    • Note: Modern textbook on information theory that also covers recent applications in statistical learning theory
  • Information Theory, Inference, and Learning Algorithms - David MacKay, Cambridge University Press, 2003

    • Link: [Website] [PDF]
    • Note: Textbook covering information theory and its connections to Bayesian inference
  • Elements of Information Theory - Thomas Cover, Joy Thomas, John Wiley & Sons, Inc., 2nd Edition, 2006

    • Link: [PDF]
    • Note: Standard textbook on information theory

Paper

Lecture

  • Statistics and Information Theory - John Duchi, 2025
    • Link: [PDF]
    • Note: Comprehensive book on statistical applications of information theory

Probability Theory

Book

  • Probability: Theory and Examples - Rick Durrett, Cambridge University Press, 5th Edition, 2019

    • Link: [PDF]
    • Note: Standard graduate textbook on measure-theoretic probability covering laws of large numbers, CLT, martingales, and Markov chains.
  • High-Dimensional Probability - Roman Vershynin, Cambridge University Press (forthcoming), 2nd Edition, 2025

  • Concentration inequalities: A non-asymptotic theory of independence - Stéphane Boucheron, Gábor Lugosi, Pascal Massart, Oxford University Press, 2016

    • Link: [Website] [PDF]
    • Note: Reference for concentration inequalities

Paper

Lecture

Mathematical Analysis and Measure Theory

Book

  • Real and Complex Analysis - Walter Rudin, McGraw-Hill, 3rd Edition, 1987
    • Note: Classic "Big Rudin" covering measure theory, integration, and functional analysis foundations.

Paper

Lecture

Python and Programming

Book

Lecture

Generative Models

Book

  • Flow Matching Guide and Code - Yaron Lipman, Marton Havasi, Peter Holderrieth et al., 2024

    • Link: [arXiv] [GitHub]
    • Note: Introduces flow matching and its extensions such as non-Euclidean flow matching, discrete flow matching, and generator matching
  • The Principles of Diffusion Models - Chieh-Hsin Lai, Yang Song, Dongjun Kim, Yuki Mitsufuji, Stefano Ermon, 2025

    • Link: [Website] [arXiv]
    • Note: Introduces foundations of diffusion models through 3 complementary perspectives, while also presenting various algorithms for fast sampling

Paper

  • Mean Flows for One-step Generative Modeling - Zhengyang Geng, Mingyang Deng, Xingjian Bai, J. Zico Kolter, Kaiming He, 2025
    • Link: [arXiv] [GitHub]
    • Note: One-step generative modeling by learning the average velocity field (Note that there is also another official github repository containing the original JAX code)

Lecture

  • An Introduction to Flow Matching and Diffusion Models - Peter Holderrieth, Ezra Erives, 2025
    • Link: [Website] [arXiv] [GitHub]
    • Note: Highly recommended introduction to flow matching and its connection with diffusion models. Example code and associated video lectures are also available

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