Counting Stationary Points of the Loss Function in the Simplest Constrained Leastsquare Optimization
Abstract
We use KacRice method to analyze statistical features of an "optimization landscape" of the loss function in a random version of the Oblique Procrustes Problem, one of the simplest optimization problems of the leastsquare type on a sphere.
 Publication:

Acta Physica Polonica B
 Pub Date:
 2020
 DOI:
 10.5506/APhysPolB.51.1663
 arXiv:
 arXiv:1911.12452
 Bibcode:
 2020AcPPB..51.1663F
 Keywords:

 Mathematics  Probability;
 Mathematical Physics
 EPrint:
 The text is based on the presentation at the workshop "Random Matrix Theory: Applications in the Information Era", 29 Apr 2019  3 May 2019 2019, Krakow, Poland