85 citations · 285 across the 40 of their papers we have counts for
4 papers · 1 filter
A dynamical systems based framework for dimension reduction
Ryeongkyung Yoon, Braxton Osting
We propose a novel framework for learning a low-dimensional representation of data based on nonlinear dynamical systems, which we call dynamical dimension reduction (DDR). In the D…
A non-autonomous equation discovery method for time signal classification
Ryeongkyung Yoon, Harish S. Bhat, Braxton Osting
Certain neural network architectures, in the infinite-layer limit, lead to systems of nonlinear differential equations. Motivated by this idea, we develop a framework for analyzing…
Analysis of Crowdsourced Sampling Strategies for HodgeRank with Sparse Random Graphs
Braxton Osting, Jiechao Xiong, Qianqian Xu +1
Crowdsourcing platforms are now extensively used for conducting subjective pairwise comparison studies. In this setting, a pairwise comparison dataset is typically gathered via ran…
Optimal Data Collection For Informative Rankings Expose Well-Connected Graphs
Braxton Osting, Christoph Brune, Stanley J. Osher
Given a graph where vertices represent alternatives and arcs represent pairwise comparison data, the statistical ranking problem is to find a potential function, defined on the ver…