no code implementations • 15 Feb 2024 • Tatyana Benko, Martin Buck, Ilya Amburg, Stephen J. Young, Sinan G. Aksoy
In data science, hypergraphs are natural models for data exhibiting multi-way relations, whereas graphs only capture pairwise.
no code implementations • 13 Feb 2024 • Koby Hayashi, Sinan G. Aksoy, Grey Ballard, Haesun Park
The second algorithm uses randomized leverage score sampling to approximately solve constrained least squares problems.
1 code implementation • 30 Jun 2023 • Sinan G. Aksoy, Ilya Amburg, Stephen J. Young
While multilinear algebra appears natural for studying the multiway interactions modeled by hypergraphs, tensor methods for general hypergraphs have been stymied by theoretical and practical barriers.
no code implementations • 20 Mar 2023 • Sinan G. Aksoy, Ryan Bennink, Yuzhou Chen, José Frías, Yulia R. Gel, Bill Kay, Uwe Naumann, Carlos Ortiz Marrero, Anthony V. Petyuk, Sandip Roy, Ignacio Segovia-Dominguez, Nate Veldt, Stephen J. Young
We present and discuss seven different open problems in applied combinatorics.
no code implementations • 2 Mar 2022 • Koby Hayashi, Sinan G. Aksoy, Haesun Park
Cut-based directed graph (digraph) clustering often focuses on finding dense within-cluster or sparse between-cluster connections, similar to cut-based undirected graph clustering methods.
no code implementations • 29 Jun 2020 • Koby Hayashi, Sinan G. Aksoy, Cheong Hee Park, Haesun Park
We propose a flexible framework for clustering hypergraph-structured data based on recently proposed random walks utilizing edge-dependent vertex weights.
no code implementations • 12 Jun 2019 • Sinan G. Aksoy, Kathleen E. Nowak, Emilie Purvine, Stephen J. Young
Similarity measures are used extensively in machine learning and data science algorithms.