PPT-Sampling and Volume Computation in High Dimension

Author : pamella-moone | Published Date : 2016-04-03

Santosh Vempala Georgia Tech A really old p roblem Given set K in ndimensional space estimate its volume Eg Pyramids wine barrels Polytopes Intersection

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Sampling and Volume Computation in High Dimension: Transcript

Santosh Vempala Georgia Tech A really old p roblem Given set K in ndimensional space estimate its volume Eg Pyramids wine barrels Polytopes Intersection of a polytope with ellipsoids . of . L. p. Yair. . Bartal. Lee-Ad Gottlieb. Ofer. Neiman. Embedding and Distortion. L. p. spaces: . L. p. k. is the metric space . Let (. X,d. ) be a finite metric space. A map f:X. →. . L. p. Santosh . Vempala. Tutorial outline. Intro to high dimension and convexity. Volume distribution, . logconcavity. Ellipsoids. Lower bounds. Algorithms. Rounding. Volume/Integration. Optimization. Sampling. a short survey. Anupam. Gupta. Carnegie Mellon University. Barriers. in . Computational. . Complexity. II, CCI. , Princeton. Metric space . M = (V, d). (finite) set . V. of points. symmetric non-negative. What’s New in Dimension v2.0.1. Performance improvements. Support . for VMware . ESXi. v6.x. Support for TLS v1.2. Dimension Command data included in Feedback sent to . WatchGuard. 2. Dimension Performance Improvements. Project Review 12 July 2013. Projects. Modelling. . dragonfly attention switching. Dendritic auditory processing. Processing images . with . spikes. Dendritic . computation with . memristors. . Computation in RATSLAM. What’s New in Dimension v2.1.1. New . Dimension Administrator. user role. Integration with WatchGuard Wi-Fi Cloud . X-forwarded detail in proxy headers shows client IP addresses in log messages. Localization of Dimension v2.1 UI. Latin. . Hypercube . and . Orthogonal. . sampling. Emine Şule Yazıcı . Koç University. Joint. . work. . with. :Kevin, Pamela Burrage, Diane Donovan,. Thomas A McCourt. ,. Bevan Thompson. Population. Neural . N. ets. Liran. . Szlak. . &. . Shira . Kritchman. Outline. VC dimension. VC dimension & Sample Complexity. VC dimension & Generalization. VC dimension in neural nets. Fat-shattering – for real valued neural nets. Latin. . Hypercube . and . Orthogonal. . sampling. Emine Şule Yazıcı . Koç University. Joint. . work. . with. :Kevin, Pamela Burrage, Diane Donovan,. Thomas A McCourt. ,. Bevan Thompson. Population. Ethical Dimension. Ethical . dimension . of historical . thinking . helps to imbue the study of history with . meaning. The problem: impossible to read about past wrongs without making . ethical judgments . Santosh . Vempala. Tutorial outline. Intro to high dimension and convexity. Volume distribution, . logconcavity. Ellipsoids. Lower bounds. Algorithms. Rounding. Volume/Integration. Optimization. Sampling. Venkat. . Guruswami. , Nicolas Resch and . Chaoping. Xing. Algebraic . Pseudorandomness. Traditional pseudorandom objects (e.g., . expander graphs. , . randomness extractors. , . pseudorandom generators. A Holistic Multidimensional Public Health Approach . and Recovery . Measurement System . for Health . & Wellness. James . Slobodzien, . Psy.D. ., . CSAC. Greg . Lippert. , MA, CSAC, ICADC. 2. For . High-dimensional Data Analysis. Jong Youl Choi, . Seung-Hee. . Bae. , Judy . Qiu. , . and Geoffrey Fox. School of Informatics and Computing. Pervasive Technology Institute. Indiana University. S. A.

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