中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
学术报告
拓扑研讨班
Speaker: Prof. Wilderich Tuschmann (Karlsruhe Institute of Technology)
Inviter: 苏阳
Language: English
Title: A Spectator’s View on the Manifold Hypothesis
Time & Venue: 2026年2月6日（星期五）10：30-11：30 & 南楼820
Abstract: At its core, the Manifold Hypothesis asserts that real-world, high-dimensional data is not uniformly or randomly distributed throughout its high-dimensional “ambient” space, but concentrated on or near a low-dimensional manifold (or collection of manifolds) embedded within that high-dimensional ambient space. In my talk, I will discuss results and arguments which speak for as well as against this hypothesis and also address geometric alternatives.
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