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Zakhar Shumaylov

6 accepted papers

2026

Diffeomorphism-Equivariant Neural Networks

ICML 2026poster

Incorporating group symmetries via equivariance into neural networks has emerged as a robust approach for overcoming the efficiency and data demands of modern deep learning. While most existing approaches, such as group convolutions and averaging-based methods, focus on compact, finite, or low-dimen…

Cited by 0SourceScholar
2025

Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups

ICLR 2025poster

The quest for robust and generalizable machine learning models has driven recent interest in exploiting symmetries through equivariant neural networks. In the context of PDE solvers, recent works have shown that Lie point symmetries can be a useful inductive bias for Physics-Informed Neural Networks…

Cited by 1SourcePDFScholar
2025

Score-based Pullback Riemannian Geometry: Extracting the Data Manifold Geometry using Anisotropic Flows

ICML 2025poster

Data-driven Riemannian geometry has emerged as a powerful tool for interpretable representation learning, offering improved efficiency in downstream tasks. Moving forward, it is crucial to balance cheap manifold mappings with efficient training algorithms. In this work, we integrate concepts from pu…

Cited by 0SourcePDFScholar
2024

Data-Driven Convex Regularizers for Inverse Problems

ICASSP 2024accepted

We propose to learn a data-adaptive convex regularizer, which is parameterized using an input-convex neural network (ICNN), for variational image reconstruction. The regularizer parameters are learned adversarially by telling apart clean images from the artifact-ridden ones in a training dataset. Co…

Cited by 0SourceScholar
2024

Weakly Convex Regularisers for Inverse Problems: Convergence of Critical Points and Primal-Dual Optimisation

ICML 2024poster

Variational regularisation is the primary method for solving inverse problems, and recently there has been considerable work leveraging deeply learned regularisation for enhanced performance. However, few results exist addressing the convergence of such regularisation, particularly within the contex…

Cited by 10SourcePDFScholar
2021

Manipulating SGD with Data Ordering Attacks

NeurIPS 2021poster

Machine learning is vulnerable to a wide variety of attacks. It is now well understood that by changing the underlying data distribution, an adversary can poison the model trained with it or introduce backdoors. In this paper we present a novel class of training-time attacks that require no changes…

Cited by 102SourcePDFScholar