activity
20092023
most citedDualities in persistent (co)homology

157 citations · 242 across the 16 of their papers we have counts for

collaborators

18 papers

cs.LG2023★ 14 cited

Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior

Shashank Subramanian, Peter Harrington, Kurt Keutzer +4

Pre-trained machine learning (ML) models have shown great performance for a wide range of applications, in particular in natural language processing (NLP) and computer vision (CV).…

cs.CG2023

Fast Merge Tree Computation via SYCL

Arnur Nigmetov, Dmitriy Morozov

A merge tree is a topological descriptor of a real-valued function. Merge trees are used in visualization and topological data analysis, either directly or as a means to another en…

cs.CG2022★ 2 cited

Topological Optimization with Big Steps

Arnur Nigmetov, Dmitriy Morozov

Using persistent homology to guide optimization has emerged as a novel application of topological data analysis. Existing methods treat persistence calculation as a black box and b…

cs.CG2021

Output-sensitive Computation of Generalized Persistence Diagrams for 2-filtrations

Dmitriy Morozov, Amit Patel

When persistence diagrams are formalized as the Mobius inversion of the birth-death function, they naturally generalize to the multi-parameter setting and enjoy many of the key pro…

cs.LG2020

Topological Regularization via Persistence-Sensitive Optimization

Arnur Nigmetov, Aditi S. Krishnapriyan, Nicole Sanderson +1

Optimization, a key tool in machine learning and statistics, relies on regularization to reduce overfitting. Traditional regularization methods control a norm of the solution to en…

q-bio.BM2020★ 5 cited

PersGNN: Applying Topological Data Analysis and Geometric Deep Learning to Structure-Based Protein Function Prediction

Nicolas Swenson, Aditi S. Krishnapriyan, Aydin Buluc +2

Understanding protein structure-function relationships is a key challenge in computational biology, with applications across the biotechnology and pharmaceutical industries. While…