4 papers
The Non-Orientable Topology of Condorcet's Paradox
Ori Livson, Siddharth Pritam, Mikhail Prokopenko
Preference cycles are prevalent in problems of decision-making, and are contradictory when preferences are assumed to be transitive. This contradiction underlies Condorcet's Parado…
Filtration-Based Representation Learning for Temporal Graphs
Samrik Chowdhury, Siddharth Pritam, Rohit Roy +1
In this work, we introduce a filtration on temporal graphs based on -temporal motifs (recurrent subgraphs), yielding a multi-scale representation of temporal structure. Our tem…
Challenges in 3D Data Synthesis for Training Neural Networks on Topological Features
Dylan Peek, Matthew P. Skerritt, Siddharth Pritam +1
Topological Data Analysis (TDA) involves techniques of analyzing the underlying structure and connectivity of data. However, traditional methods like persistent homology can be com…
Time Series Analysis of Spiking Neural Systems via Transfer Entropy and Directed Persistent Homology
Dylan Peek, Siddharth Pritam, Matthew P. Skerritt +1
We present a topological framework for analysing neural time series that integrates Transfer Entropy (TE) with directed Persistent Homology (PH) to characterize information flow in…