From the 2 of 29 linked papers with an AI index.
29 papers
Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform
Harbir Antil, RocÃo DÃaz MartÃn, Ivan V. Medri +4
We propose a reduced order modeling (ROM) framework for 1D conservative PDEs based on the cumulative distribution transform (CDT). The CDT maps nonnegative, equal-mass states into…
ESAR: Event-Based Synthetic Aperture Reconstruction
Harbir Antil, Daniel Blauvelt, David Sayre
The paper formulates monocular event‑camera imaging as a synthetic‑aperture inverse problem for a static log‑radiance field, using a linear model and regularized inversion to recov…
Duality Framework for Flux Constrained Flow in Porous Media: Analysis and Numerics
Harbir Antil, Keegan L. A. Kirk, Felipe Pérez
The paper develops a duality-based formulation for Darcy flow in saturated porous media with bilateral flux constraints on part of the boundary, analyzes its mathematical propertie…
A Finite Element Approximation of an Optimal Insulation Problem with Convective Heat Transfer
Harbir Antil, Alex Kaltenbach, Keegan L. A. Kirk
A finite element discretization of an optimal insulation problem with convective heat transfer is considered. The model is formulated as a non-smooth, two-variable convex minimizat…
A Discrete Cumulative Distribution Transform via Optimal Transport
Harbir Antil, Gustavo Rohde, Aryan Saxena
This paper develops a fully discrete cumulative distribution transform (CDT) for atomic probability measures on the real line. The transform is defined through monotone quantile ma…
Additive Noise, Shift Recovery, and Signed Signals in the Cumulative Distribution Transform
Harbir Antil, Ratna Khatri, Aryan Saxena
The cumulative distribution transform (CDT) is a quantile-based transport representation that exactly linearizes one-dimensional translations of positive densities. We study how th…