activity
19972023
most citedConstructive Methods of Invariant Manifolds for Kinetic Problems

157 citations · 2.9k across the 96 of their papers we have counts for

collaborators

98 papers

cs.LG2023★ 7 cited

The Boundaries of Verifiable Accuracy, Robustness, and Generalisation in Deep Learning

Alexander Bastounis, Alexander N. Gorban, Anders C. Hansen +5

In this work, we assess the theoretical limitations of determining guaranteed stability and accuracy of neural networks in classification tasks. We consider classical distribution-…

cs.LG2023★ 12 cited

How adversarial attacks can disrupt seemingly stable accurate classifiers

Oliver J. Sutton, Qinghua Zhou, Ivan Y. Tyukin +3

Adversarial attacks dramatically change the output of an otherwise accurate learning system using a seemingly inconsequential modification to a piece of input data. Paradoxically,…

cs.CV2023★ 2 cited

3D Human Keypoints Estimation From Point Clouds in the Wild Without Human Labels

Zhenzhen Weng, Alexander S. Gorban, Jingwei Ji +3

Training a 3D human keypoint detector from point clouds in a supervised manner requires large volumes of high quality labels. While it is relatively easy to capture large amounts o…

cs.LG2022

Quasi-orthogonality and intrinsic dimensions as measures of learning and generalisation

Qinghua Zhou, Alexander N. Gorban, Evgeny M. Mirkes +3

Finding best architectures of learning machines, such as deep neural networks, is a well-known technical and theoretical challenge. Recent work by Mellor et al (2021) showed that t…

cs.LG2021★ 88 cited

Scikit-dimension: a Python package for intrinsic dimension estimation

Jonathan Bac, Evgeny M. Mirkes, Alexander N. Gorban +2

Dealing with uncertainty in applications of machine learning to real-life data critically depends on the knowledge of intrinsic dimensionality (ID). A number of methods have been s…

cs.LG2021★ 12 cited

High-dimensional separability for one- and few-shot learning

Alexander N. Gorban, Bogdan Grechuk, Evgeny M. Mirkes +2

This work is driven by a practical question: corrections of Artificial Intelligence (AI) errors. These corrections should be quick and non-iterative. To solve this problem without…