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DTSTART;TZID=America/New_York:20251117T163000
DTEND;TZID=America/New_York:20251117T173000
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UID:10003799-1763397000-1763400600@cmsa.fas.harvard.edu
SUMMARY:Interaction of Statistics and Geometry: A New Landscape for Data Science
DESCRIPTION:Colloquium \nSpeaker: Zhigang Yao (National University of Singapore) \nTitle: Interaction of Statistics and Geometry: A New Landscape for Data Science \nAbstract:  Classical statistics views data as real numbers or vectors in Euclidean space\, but modern challenges increasingly involve data with intrinsic geometric structures. A central problem in this direction is manifold fitting\, with origins in H. Whitney’s work of the 1930s. The Geometric Whitney Problems ask: given a set\, when can we construct a smooth 𝑑-dimensional manifold that approximates it\, and how accurately can we estimate it? \nIn this talk\, I will discuss recent progress on manifold fitting and its role in bridging geometry and data science. While many existing methods rely on restrictive assumptions\, the manifold hypothesis—that data often lie near non-Euclidean structures—remains fundamental in modern statistical learning. I will highlight both theoretical insights and algorithmic challenges\, drawing on recent works with\, as well as ongoing research.
URL:https://cmsa.fas.harvard.edu/event/colloquium_111725/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
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DTSTART;TZID=America/New_York:20251124T163000
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CREATED:20251119T163856Z
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SUMMARY:Geometric Simplicity in Quantum Field Theory and Gravity
DESCRIPTION:Colloquium \nSpeaker: Thomas Grimm\, Utrecht University \nTitle: Geometric Simplicity in Quantum Field Theory and Gravity \nAbstract: In physics we attribute much value to the emergence of simplicity\, both conceptually and for computations. Familiar examples include algebraic relations among Feynman amplitudes\, the surprising descriptions arising in large-N or duality limits\, and the central role played by symmetries. In this colloquium we discuss how tame geometry allows one to quantitatively describe such simplifications by introducing a measure of complexity. This framework relies on finiteness: the information content of the functions and domains required to specify a theory\, or an observable is finite. A key strength of the proposal is its generality as it applies to any physical quantity and can therefore be used both to analyze complexities within an individual Quantum Field Theory and to study the entire space of such theories. We present several applications and explain how this perspective ties in with our understanding of the expected properties of effective theories that can be coupled to Quantum Gravity.
URL:https://cmsa.fas.harvard.edu/event/colloquium-112425/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
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