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UID:6c47582e338dc2475c3bb732c0807906
CATEGORIES:Mathematical Physics Seminar
CREATED:20221117T110926
SUMMARY:The unreasonable effectiveness of determinantal processes
LOCATION:Hill Center Room 705
DESCRIPTION:<p>In 1960, Wigner published an article famously titled "The Unreasonable E
 ffectiveness of Mathematics in the Natural Sciences”. In this talk we will,
  in a small way, follow the spirit of Wigner’s coinage, and explore the unr
 easonable effectiveness of determinantal processes (a.k.a. DPPs) far beyond
  their context of origin. DPPs originated in quantum and statistical physic
 s, but have emerged in recent years to be a powerful toolbox for many funda
 mental learning problems. In this talk, we aim to&nbsp; explore the breadth
  and depth of thes applications. On one hand, we will explore a class of Ga
 ussian DPPs and the novel&nbsp; stochastic geometry of their parameter modu
 lation,and their applications to the study of directionality in data and di
 mension reduction. At the other end, we will consider the fundamenta paradi
 gm of stochastic gradient descent, where we leverage connections with&nbsp;
  orthogonal polynomials to design a minibatch sampling technique based on d
 ata-sensitive DPPs ; with provable guarantees for a faster convergence expo
 nent compared to traditional sampling. Based on the following works.[1] Gau
 ssian determinantal processes: A new model for directionality in data, with
  P. Rigollet, Proceedings of the National Academy of Sciences, vol. 117, no
 . 24 (2020), pp. 13207--13213 (PNAS Direct Submission)[2] Determinantal poi
 nt processes based on orthogonal polynomials for sampling minibatches in SG
 D, with R. Bardenet and M. Lin Advances in Neural Information Processing Sy
 stems 34 (Spotlight at NeurIPS 2021)</p>
CONTACT:Subhro Ghosh - National University of Singapore
DTSTAMP:20260908T080630
DTSTART;TZID=America/New_York:20221117T120000
DTEND;TZID=America/New_York:20221117T130000
SEQUENCE:0
TRANSP:OPAQUE
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