Unlabelled Principal Component Analysis

Location: Zoom
Date(s): Wednesday 8th February 2023 (10:00-11:00)
Contact: Event Convenor Contact: A.M.Kasprzyk@nottingham.ac.uk
Description: Speaker's Name: Manolis Tsakiris
Speaker's Affiliation: Chinese Academy of Sciences
Speaker's Research Theme(s): Symbolic computational mathematics,Computational statistics and machine learning
Abstract:
This talk will consider the problem of recovering a matrix of bounded rank from a corrupted version of it, where the corruption consists of an unknown permutation of the matrix entries. Exploiting the theory of Groebner bases for determinantal ideals, recovery theorems will be given. For a special instance of the problem, an algorithmic pipeline will be demonstrated, which employs methods for robust principal component analysis with respect to outliers and methods for linear regression without correspondences.

Venue: Zoom
Online Conference Link: https://us05web.zoom.us/j/85660232270?pwd=NUh6ZDh3ZDNxQ3dVdWF0RnFPR3c3UT09

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