WebGoogle Scholar. [M71b] V.D. Milman, On a property of functions defined on infinite-dimensional manifolds, Soviet Math. Dokl. 12, 5 (1971), 1487–1491. Google Scholar. [M71c] V.D. Milman, A new proof of the theorem of A. Dvoretzky on sections of convex bodies, Functional Analysis and its Applications 5, No. 4 (1971), 28–37. Google Scholar. WebThe above theorem, termed the ultrametric skeleton theorem in [10], has its roots in Dvoretzky-type theorems for nite metric spaces. It has applications for algorithms, data …
Small ball probability and Dvoretzky Theorem - University …
In mathematics, Dvoretzky's theorem is an important structural theorem about normed vector spaces proved by Aryeh Dvoretzky in the early 1960s, answering a question of Alexander Grothendieck. In essence, it says that every sufficiently high-dimensional normed vector space will have low-dimensional … See more For every natural number k ∈ N and every ε > 0 there exists a natural number N(k, ε) ∈ N such that if (X, ‖·‖) is any normed space of dimension N(k, ε), there exists a subspace E ⊂ X of dimension k and a positive definite See more In 1971, Vitali Milman gave a new proof of Dvoretzky's theorem, making use of the concentration of measure on the sphere to show that a random k-dimensional subspace satisfies … See more • Vershynin, Roman (2024). "Dvoretzky–Milman Theorem". High-Dimensional Probability : An Introduction with Applications in … See more WebDvoretzky’s theorem A conjecture by Grothendieck: Given a symmetric convex body in Euclidean space of sufficiently high dimensionality, the body will have nearly spherical sections. Dvoretzky’s theorem Theorem (Dvoretzky) sign in to gateway self assessment
TOPOLOGICAL ASPECTS OF THE DVORETZKY THEOREM
http://www.math.tau.ac.il/~klartagb/papers/dvoretzky.pdf WebDvoretzky type theorem for various coordinate projections, is due to Rudel-son and Vershynin [13]. They proved a Dvoretzky type theorem for sections of a convex body … WebApr 9, 2024 · 这项工作被WWW 2024接收,并由清华大学数据科学与智能实验室提供支持。旨在解决推荐系统中由于用户-物品连接数据量巨大而导致的“过滤气泡”问题。感谢清华大学、卡内基梅隆大学、华为Noah's Ark实验室和清华 - 伯克利深圳学院的作者们。该工作得到深圳市科技计划、广东省重点领域研发计划 ... sign in to gateway account uk