Books

Books by Vadim Sokolov and coauthors. Each book is free to read as a PDF, and its source and code are on GitHub.

Clinical Trials in Practice From Foundations to AI Agents

Alexandra Sokolova and Vadim Sokolov. 2026. Edition 1.

A practical guide to clinical trials as science and as regulated operations: the phases, statistics and design, the daily work of a Phase III study, regulatory submission, and where AI agents belong in clinical development.

On Hilbert’s 6th Problem Probability, Mechanics and Bayesian Computation

Nick Polson and Vadim Sokolov. 2026. Edition 1.

Hilbert’s sixth problem from Kolmogorov’s axioms and the Boltzmann equation to the Navier Stokes equations, and the inverse passage: Bayesian estimation on the solution manifold of a differential equation, where the adjoint evolution of the data is a sufficient statistic for linear equations.

Each book has a page with its description and how to cite it. A book with results also has its main results on that page and a page with all its results chapter by chapter with their numbers.