Publications

• Quadric hypersurface intersection for manifold learning in feature space

  F. Pavutnitskiy, S. O. Ivanov, E. Abramov, V. Borovitskiy, A. Klochkov, V. Vialov, A. Zaikovskii, A. Petiushko

  To appear in International Conference on Artificial Intelligence and Statistics (AISTATS), 2022

  PDF arXiv

• Vector-valued Gaussian Processes on Riemannian Manifolds via Gauge Independent Projected Kernels

  M. Hutchinson, A. Terenin, V. Borovitskiy, S. Takao, Y. W. Teh, M. P. Deisenroth,

  In Neural Information Processing Systems (NeurIPS), 2021

  PDF Code arXiv In Proceedings

• Geometry-aware Bayesian Optimization in Robotics using Riemannian Matérn Kernels

  N. Jaquier, V. Borovitskiy, A. Smolensky, A. Terenin, T. Asfour, L. Rozo,

  In Conference on Robot Learning (CoRL), 2021

  PDF Code arXiv In Proceedings

• Interpolation of abstract spaces of Hardy type

  V. Borovitskiy, S. Kislyakov

  To appear in Journal of Mathematical Sciences, 2022

  Russian version

• On the Bellman Function Method for Operators on Martingales

  V. Borovitskiy, N. Osipov, A. Tselishchev

  In Doklady Mathematics, 2021

  Link

• Matérn Gaussian Processes on Graphs

  V. Borovitskiy, I. Azangulov, A. Terenin, P. Mostowsky, M. P. Deisenroth, N. Durrande

  In International Conference on Artificial Intelligence and Statistics (AISTATS), 2021

  Best Student Paper Award

  PDF Code arXiv In Proceedings

• Pathwise Conditioning of Gaussian Processes

  J. T. Wilson, V. Borovitskiy, A. Terenin, P. Mostowsky, M. P. Deisenroth

  In Journal of Machine Learning Research (JMLR), 2021

  PDF arXiv Link

• Littlewood–Paley–Rubio De Francia Inequality for the Two-Parameter Walsh System

  V. Borovitskiy

  In Journal of Mathematical Sciences, 2022

  Link Preprint Russian version

• Weighted Littlewood–Paley inequality for arbitrary rectangles in \(\mathbb{R}^2\)

  V. Borovitskiy

  In St. Petersburg Mathematical Journal, 2021

  Link Russian version

• Boolean Spectral Analysis in Categorical Reservoir Modeling

  N. Ismagilov, V. Borovitskiy, M. Lifshits, M. Platonova

  In Mathematical Geosciences, 2021

  Link

• Matérn Gaussian processes on Riemannian manifolds

  V. Borovitskiy, A. Terenin, P. Mostowsky, M. P. Deisenroth

  In Neural Information Processing Systems (NeurIPS), 2020

  PDF Code arXiv In Proceedings

• Efficiently sampling functions from Gaussian process posteriors

  J. T. Wilson V. Borovitskiy, A. Terenin, P. Mostowsky, and M. P. Deisenroth

  In International Conference on Machine Learning (ICML), 2020

  Outstanding Paper Honorable Mention

  PDF Code arXiv In Proceedings

• K-closedness for weighted Hardy spaces on the torus \(\mathbb{T}^2\).

  V. Borovitskiy

  In Journal of Mathematical Sciences, 2018

  Link Russian version

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In Review / Preprints

• Littlewood–Paley–Rubio de Francia inequality for multi-parameter Vilenkin systems

  V. Borovitskiy

  PDF arXiv

• Bellman function method for general operators on martingales

  V. Borovitskiy, N. Osipov, A. Tselishchev

  PDF arXiv

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Publications (Non Peer-Reviewed)

• Bayesian Inference of Covariance Parameters in Spectral Approach to Geostatistical Simulation

  N. Ismagilov, I. Azangulov, V. Borovitskiy, M. Lifshits, P. Mostowsky

  In European Conference on the Mathematics of Oil Recovery (ECMOR), 2020

  Link

• Boolean spectral analysis in categorical reservoir modelling

  N. Ismagilov, V. Borovitskiy, M. Lifshits, M. Platonova

  In EAGE Conference on Petroleum Geostatistics, 2019

  Link

• Reproducibility Project: DeepSite

  T. Malygina, V. Borovitskiy, Y. Porozov

  In Transylvanian Machine Learning Summer School, 2018

  Link Code