2 citations · 2 across the 1 of their papers we have counts for
5 papers
Combinatorial Conditions for Directed Collapsing
Robin Belton, Robyn Brooks, Stefania Ebli +4
The purpose of this article is to study directed collapsibility of directed Euclidean cubical complexes. One application of this is in the nontrivial task of verifying the executio…
Nerve theorems for fixed points of neural networks
Daniela Egas Santander, Stefania Ebli, Alice Patania +4
Nonlinear network dynamics are notoriously difficult to understand. Here we study a class of recurrent neural networks called combinatorial threshold-linear networks (CTLNs) whose…
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…
Towards Directed Collapsibility
Robin Belton, Robyn Brooks, Stefania Ebli +5
In the directed setting, the spaces of directed paths between fixed initial and terminal points are the defining feature for distinguishing different directed spaces. The simplest…
Computational Topology Techniques for Characterizing Time-Series Data
Nicole Sanderson, Elliott Shugerman, Samantha Molnar +2
Topological data analysis (TDA), while abstract, allows a characterization of time-series data obtained from nonlinear and complex dynamical systems. Though it is surprising that s…