Ilya V. Schurov

Ilya V. Schurov

Mathematics, ML & AI

Omnifold

About me

I’m a mathematician, ML researcher, and technology enthusiast. I love pure mathematics, and I equally enjoy coding and solving applied problems. This dual passion allows me to contribute meaningfully across disciplines, in both academia and industry.

Currently, I work at Omnifold, where we use AI and mathematical modeling for forecasting and optimization. Previously, I was a researcher at Radboud University and an associate professor at HSE University, working on projects spanning differential equations, physics, game theory, biology, and linguistics.

I’ve taught university courses on calculus, machine learning, differential equations, and data science. I also created several online courses for Coursera on the foundations of machine learning and authored free interactive textbooks on calculus and ordinary differential equations, used by thousands of Russian-speaking students.

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Interests
  • Machine Learning
  • Differential Equations
  • Dynamical Systems
Education

  • Ph.D. in Mathematics, 2010

    Moscow State University

  • M.S. in Mathematics, 2006

    Moscow State University

Recent Posts

Adjoint State Method, Backpropagation and Neural ODEs
You probably heard about Neural ODEs, a neural network architecture based on ordinary differential equations. To train this kind of models, a mysterious trick called the adjoint state method is used. How does it work, why do we need it, and how it is related to backpropagation?
Aug 5, 2022 44 min read
Minimalist PyTorch Example: My First Neural Network
Let’s train the simplest neural network using PyTorch and look inside to understand how it works.
Ilya V. Schurov
Jul 19, 2022 13 min read
Data science journey to highland Daghestan
How machine learning helps sociolinguists to assess their data
Oct 27, 2021 12 min read
Code
Data science journey to highland Daghestan

Textbooks

I want to reinvent mathematical textbooks: make them accessible, friendly, full of illustrations and in-depth explanations of the essence of mathematical concepts. To achieve this goal, I even developed my own publishing platform that leverages modern web-technologies and allows to include interactive elements to mathematical texts.

Calculus
Friendly introduction to rigorous one-dimensional calculus. We have precise epsilon-delta definitions and all the proofs, carefully explained, with examples, motivations and illustrations. Batteries included!
Read textbook (in Russian)
Calculus
Ordinary differential equations
Introductory textbook with focus on important geometrical and dynamical phenomena like conservation laws, stability and bifurcations.
Read textbook (in Russian)
Ordinary differential equations

Research Papers

Yuri I Wolf, Ilya V Schurov, Kira S Makarova, Mikhail I Katsnelson, Eugene V Koonin (2024). Long range segmentation of prokaryotic genomes by gene age and functionality. Nucleic Acids Research.

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I. Schurov, D. Alforov, M. Katsnelson, A. Bagrov, A. Itin (2024). Invariant multiscale neural networks for data-scarce scientific applications.

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Michael Daniel, Alexey Koshevoy, Ilya Schurov, Nina Dobrushina (2022). Can Recall Data Be Trusted?. Field Methods, 34 (4), 2022.

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Dmitry Dagaev, Ilya Schurov (2020). Bachet’s game with lottery moves. Discrete Mathematics, 343 (4), 111704.

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Contacts