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Isay Katsman

7 accepted papers

2023

Riemannian Residual Neural Networks

NeurIPS 2023poster

Recent methods in geometric deep learning have introduced various neural networks to operate over data that lie on Riemannian manifolds. Such networks are often necessary to learn well over graphs with a hierarchical structure or to learn over manifold-valued data encountered in the natural sciences…

Cited by 16SourcePDFScholar
2021

Equivariant Manifold Flows

NeurIPS 2021poster

Tractably modelling distributions over manifolds has long been an important goal in the natural sciences. Recent work has focused on developing general machine learning models to learn such distributions. However, for many applications these distributions must respect manifold symmetries—a trait whi…

2020

Differentiating through the Fréchet Mean

ICML 2020poster

Recent advances in deep representation learning on Riemannian manifolds extend classical deep learning operations to better capture the geometry of the manifold. One possible extension is the Fr{é}chet mean, the generalization of the Euclidean mean; however, it has been difficult to apply because it…

2020

Neural Manifold Ordinary Differential Equations

NeurIPS 2020poster

To better conform to data geometry, recent deep generative modelling techniques adapt Euclidean constructions to non-Euclidean spaces. In this paper, we study normalizing flows on manifolds. Previous work has developed flow models for specific cases; however, these advancements hand craft layers on…

Cited by 98SourcePDFScholar
2019

Enhancing Adversarial Example Transferability With an Intermediate Level Attack

ICCV 2019poster

Neural networks are vulnerable to adversarial examples, malicious inputs crafted to fool trained models. Adversarial examples often exhibit black-box transfer, meaning that adversarial examples for one model can fool another model. However, adversarial examples are typically overfit to exploit the p…

Cited by 306PDFcodeScholar