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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets II
无限维 凸紧集 混合体积
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2023/11/6
Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orth...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets I
无限维 凸紧集 混合体积
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2023/11/6
Let K be a convex compact subset of a separable Hilbert space H. One of the most important geometric characteristics of K is its intrinsic volumes. In the finitedimensionalcase (K ? R^d), the intrinsi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Differentiability of volume functions for big classes
大类 体积函数 可微性
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2023/4/17
We report a recent paper of Witt Nystrom, where he proved the differentiability of volume functions using deformation to the normal cone.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Exponential decay of intersection volume and applications
交叉体积 指数衰减 公制空间
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2023/4/23
When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, makin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A novel deep learning approach for tourism volume forecasting with tourist search data
游客搜索数据 旅游量预测 深度学习方法
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2023/5/8
Tourism volume forecasting is the hot topic in tourism management, and deep learning techniques as the promising tool are becoming popular for capturing the characteristics of tourism volume data, whi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Volume preserving Gauss curvature flow of convex hypersurfaces in the hyperbolic space
双曲空间 凸超曲面 保体积 高斯曲率流
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2023/5/15
In this talk, we discuss Y. Wei, B. Yang and T. Zhou’s preprint arXiv:2210.06035, in which they consider volume preserving curvature flows of smooth, closed and convex hypersurfaces in hyperbolic spac...