Sorry, you need to enable JavaScript to visit this website.

MULTIVIEW SENSING WITH UNKNOWN PERMUTATIONS: AN OPTIMAL TRANSPORT APPROACH

Citation Author(s):
Yanting Ma, Petros T. Boufounos, Hassan Mansour, Shuchin Aeron
Submitted by:
Yanting Ma
Last updated:
22 June 2021 - 8:51am
Document Type:
Poster
Document Year:
Event:
Categories:
Keywords:

Abstract 

Abstract: 

In several applications, including imaging of deformable objects while in motion, simultaneous localization and mapping, and unlabeled sensing, we encounter the problem of recovering a signal that is measured subject to unknown permutations. In this paper we take a fresh look at this problem through the lens of optimal transport (OT). In particular, we recognize that in most practical applications the unknown permutations are not arbitrary but some are more likely to occur than others. We exploit this by introducing a regularization function that promotes the more likely permutations in the solution. We show that, even though the general problem is not convex, an appropriate relaxation of the resulting regularized problem allows us to exploit the well-developed machinery of OT and develop a tractable algorithm.

up
0 users have voted:

Dataset Files

ICASSP2021-Poster.pdf

(45)