理化学研究所 革新知能統合研究センター (AIP), オープンスペース
Nihonbashi 1-chome Mitsui Building, 15th floor,1-4-1 Nihonbashi, Chuo-ku
Speaker:
Dr. Pierre-Louis POIRION (Mathematical and Algorithmic Science Lab at Huawei Technologies France, France)
Title:
Random projections for symmetric cone programming
Abstract:
The well-known Johnson-Lindenstrauss lemma states that there are random matrices with surprisingly few rows that approximately preserve pairwise Euclidean distances among a set of points. In this talk, we exploit this result to prove that one can approximately solve, with a probabilistic algorithm, a Symmetric Cone Program with a large set of equality constraints by solving a projected version having a much smaller set of constraints.
We will more particularly study the LP case and show that our algorithm can solve large randomly generated LP instances.
