21![QUALIFYING EXAMINATION Harvard University Department of Mathematics Tuesday, March 12 (DayLet X be a compact n-dimensional differentiable manifold, and Y ⊂ X a closed submanifold of dimension m. Show that the E QUALIFYING EXAMINATION Harvard University Department of Mathematics Tuesday, March 12 (DayLet X be a compact n-dimensional differentiable manifold, and Y ⊂ X a closed submanifold of dimension m. Show that the E](https://www.pdfsearch.io/img/cfb65e1bab4f76710df0fe935cbeba3a.jpg) | Add to Reading ListSource URL: www.math.harvard.eduLanguage: English - Date: 2016-02-04 13:15:17
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22![Non-Local Manifold Parzen Windows Yoshua Bengio and Hugo Larochelle Dept. IRO, Universit´e de Montr´eal P.O. Box 6128, Downtown Branch, Montreal, H3C 3J7, Qc, Canada {bengioy,larocheh}@iro.umontreal.ca Technical Report Non-Local Manifold Parzen Windows Yoshua Bengio and Hugo Larochelle Dept. IRO, Universit´e de Montr´eal P.O. Box 6128, Downtown Branch, Montreal, H3C 3J7, Qc, Canada {bengioy,larocheh}@iro.umontreal.ca Technical Report](https://www.pdfsearch.io/img/bb00a86d31a9466dc43b871548f72403.jpg) | Add to Reading ListSource URL: info.usherbrooke.caLanguage: English - Date: 2011-08-01 11:07:14
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23![Sayan Mukherjee* (). Geometry in statistical inference. Geometric approaches to data analysis including manifold learning, subspace inference, factor models, and inferring covariance/positive defi Sayan Mukherjee* (). Geometry in statistical inference. Geometric approaches to data analysis including manifold learning, subspace inference, factor models, and inferring covariance/positive defi](https://www.pdfsearch.io/img/6b89af0174cfec1e0bcdbeac74e6608c.jpg) | Add to Reading ListSource URL: jointmathematicsmeetings.org- Date: 2013-10-31 00:32:33
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24![Dimension reduction for stochastic dynamical systems forced onto a manifold by large drift: a constructive approach with examples from theoretical biology Todd L. Parsons arXiv:1510.07031v2 [math.PR] 29 Mar 2017 Dimension reduction for stochastic dynamical systems forced onto a manifold by large drift: a constructive approach with examples from theoretical biology Todd L. Parsons arXiv:1510.07031v2 [math.PR] 29 Mar 2017](https://www.pdfsearch.io/img/91cbf67cb164e88eec7118e1c1318c16.jpg) | Add to Reading ListSource URL: www.lpsm.parisLanguage: English - Date: 2017-03-30 07:14:06
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25![Week 1 (due AprilAs was explained during the winter quarter, to any line bundle (complex vector bundle of rank one) on a manifold M one can associate its first Chern class which takes values in H 2 (M, Z), and two Week 1 (due AprilAs was explained during the winter quarter, to any line bundle (complex vector bundle of rank one) on a manifold M one can associate its first Chern class which takes values in H 2 (M, Z), and two](https://www.pdfsearch.io/img/1ddaaf3f8e635e698d4abade5f30d174.jpg) | Add to Reading ListSource URL: www.theory.caltech.eduLanguage: English - Date: 2009-04-01 22:32:01
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26![EXTREMAL FUNCTIONS FOR MOSER-TRUDINGER TYPE INEQUALITY ON COMPACT CLOSED 4-MANIFOLDS YUXIANG LI, CHEIKH BIRAHIM NDIAYE Abstract. Given a compact closed four dimensional smooth Riemannian manifold, we prove existence of e EXTREMAL FUNCTIONS FOR MOSER-TRUDINGER TYPE INEQUALITY ON COMPACT CLOSED 4-MANIFOLDS YUXIANG LI, CHEIKH BIRAHIM NDIAYE Abstract. Given a compact closed four dimensional smooth Riemannian manifold, we prove existence of e](https://www.pdfsearch.io/img/7b6cd943fd2dd2b0b7ade8e7c754219d.jpg) | Add to Reading ListSource URL: faculty.math.tsinghua.edu.cnLanguage: English - Date: 2006-09-11 12:00:00
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27![Measuring Image Distances via Embedding in a Semantic Manifold Supplementary material Chen Fang, Lorenzo Torresani November 26, 2012 Measuring Image Distances via Embedding in a Semantic Manifold Supplementary material Chen Fang, Lorenzo Torresani November 26, 2012](https://www.pdfsearch.io/img/559f37a729ce6ef97ca6cd4251294af5.jpg) | Add to Reading ListSource URL: vlg.cs.dartmouth.edu- Date: 2012-11-26 13:20:14
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28![Measuring Image Distances via Embedding in a Semantic Manifold Chen Fang and Lorenzo Torresani Dartmouth College, Computer Science Department Hanover, NH, USA http://vlg.cs.dartmouth.edu Measuring Image Distances via Embedding in a Semantic Manifold Chen Fang and Lorenzo Torresani Dartmouth College, Computer Science Department Hanover, NH, USA http://vlg.cs.dartmouth.edu](https://www.pdfsearch.io/img/121446002c2910e759fda90a917d9ff9.jpg) | Add to Reading ListSource URL: vlg.cs.dartmouth.edu- Date: 2012-12-10 17:35:24
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29![Regular triangulations and the index of a cusped hyperbolic 3-manifold Stavros Garoufalidis, Craig D. Hodgson J. Hyam Rubinstein and Henry Segerman Oklahoma State University Regular triangulations and the index of a cusped hyperbolic 3-manifold Stavros Garoufalidis, Craig D. Hodgson J. Hyam Rubinstein and Henry Segerman Oklahoma State University](https://www.pdfsearch.io/img/ab1a083ef6e4f28bdfbab5d273509f02.jpg) | Add to Reading ListSource URL: math.okstate.edu- Date: 2014-08-23 13:28:34
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30![Johannes Hanika, Marc Droske, and Luca Fascione MANIFOLD NEXT EVENT ESTIMATION
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