Title
Active Learning for Enumerating Local Minima Based on Gaussian Process Derivatives
Abstract
<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">We study active learning (AL) based on gaussian processes (GPs) for efficiently enumerating all of the local minimum solutions of a black-box function. This problem is challenging because local solutions are characterized by their zero gradient and positive-definite Hessian properties, but those derivatives cannot be directly observed. We propose a new AL method in which the input points are sequentially selected such that the confidence intervals of the GP derivatives are effectively updated for enumerating local minimum solutions. We theoretically analyze the proposed method and demonstrate its usefulness through numerical experiments.</para>
Year
DOI
Venue
2019
10.1162/neco_a_01307
Neural Computation
DocType
Volume
Issue
Journal
32
10
ISSN
Citations 
PageRank 
0899-7667
0
0.34
References 
Authors
8
4
Name
Order
Citations
PageRank
Yu Inatsu103.04
Daisuke Sugita200.34
Kazuaki Toyoura300.34
Ichiro Takeuchi413223.25