Operator scaling via geodesically convex optimization, invariant theory and polynomial identity testing

Author:

Allen-Zhu Zeyuan1,Garg Ankit1,Li Yuanzhi2,Oliveira Rafael3,Wigderson Avi4

Affiliation:

1. Microsoft Research, USA

2. Princeton University, USA

3. University of Toronto, Canada

4. Institute for Advanced Study at Princeton, USA

Publisher

ACM

Reference78 articles.

1. Optimization Algorithms on Matrix Manifolds

2. Bharat Adsul Suresh Nayak and K. V. Subrahmanyam. 2010. A geometric approach to the Kronecker problem II : rectangular shapes invariants of n*n matrices and a generalization of the Artin-Procesi theorem. Manuscript available at http://www.cmi.ac.in/ kv/ANS10.pdf (2010). Bharat Adsul Suresh Nayak and K. V. Subrahmanyam. 2010. A geometric approach to the Kronecker problem II : rectangular shapes invariants of n*n matrices and a generalization of the Artin-Procesi theorem. Manuscript available at http://www.cmi.ac.in/ kv/ANS10.pdf (2010).

3. Finding approximate local minima faster than gradient descent

Cited by 24 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Interior-point methods on manifolds: theory and applications;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

2. The minimal canonical form of a tensor network;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

3. Convex Analysis on Hadamard Spaces and Scaling Problems;Foundations of Computational Mathematics;2023-10-17

4. A Strongly Polynomial Algorithm for Approximate Forster Transforms and Its Application to Halfspace Learning;Proceedings of the 55th Annual ACM Symposium on Theory of Computing;2023-06-02

5. Polystability in positive characteristic and degree lower bounds for invariant rings;Journal of Combinatorial Algebra;2022-11-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3