4 papers · 1 filter
Implicit Neural Representations and the Algebra of Complex Wavelets
T. Mitchell Roddenberry, Vishwanath Saragadam, Maarten V. de Hoop +1
Implicit neural representations (INRs) have arisen as useful methods for representing signals on Euclidean domains. By parameterizing an image as a multilayer perceptron (MLP) on E…
Signal Processing on Product Spaces
T. Mitchell Roddenberry, Vincent P. Grande, Florian Frantzen +2
We establish a framework for signal processing on product spaces of simplicial and cellular complexes. For simplicity, we focus on the product of two complexes representing time an…
Network Topology Inference with Graphon Spectral Penalties
T. Mitchell Roddenberry, Madeline Navarro, Santiago Segarra
We consider the problem of inferring the unobserved edges of a graph from data supported on its nodes. In line with existing approaches, we propose a convex program for recovering…
HodgeNet: Graph Neural Networks for Edge Data
T. Mitchell Roddenberry, Santiago Segarra
Networks and network processes have emerged as powerful tools for modeling social interactions, disease propagation, and a variety of additional dynamics driven by relational struc…