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Dimension theory
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1	Week 1 (due Jan. 14) All numbered problems are from Morita. 1. ProblemFor a noncompact manifold M of dimension n, one can define a new cohomology theory as follows. Let Ωkc (M ) the space of C ∞ k-forms with Add to Reading List Source URL: www.theory.caltech.edu - Date: 2009-01-08 00:49:02
2	Stat 928: Statistical Learning Theory Lecture: 24 Growth Functions and the VC dimension Instructor: Sham Kakade Add to Reading List Source URL: stat.wharton.upenn.edu Language: English - Date: 2011-04-18 18:21:01
3	KK Parity in Warped Extra Dimension Work collaborated with K. Agashe, A. Falkowski, and G. Servant: arXiv:Ian Low Add to Reading List Source URL: theory.fnal.gov - Date: 2015-04-03 15:19:46
4	ANALYTIC ZARISKI STRUCTURES AND NON-ELEMENTARY CATEGORICITY BORIS ZILBER Abstract. We study analytic Zariski structures from the point of view of non-elementary model theory. We show how to associate an abstract elementa Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2016-01-12 10:43:42 Abstract algebra Algebra Mathematics Algebraic geometry Algebraic varieties Model theory Vector bundles Matroid theory Pregeometry Ample line bundle Morphism of algebraic varieties Dimension theory
5	Structural Graphical Lasso for Learning Mouse Brain Connectivity Sen Yang Qian Sun Add to Reading List Source URL: peterwonka.net Language: English - Date: 2015-11-20 08:10:54 Statistics Estimation theory Inverse problems Dimension reduction Maximum likelihood estimation Lasso Graphical lasso Feature selection Estimation of covariance matrices Regularization Matrix Loss function
6	Quantifying Generalization in Linearly Weighted Neural Networks (Short title: Quantifying Generalization) Martin Anthony1 and Sean B. Holden2 Abstract Add to Reading List Source URL: www.maths.lse.ac.uk Language: English - Date: 2000-04-03 14:52:08 Machine learning Learning Artificial intelligence Computational learning theory Computational statistics Statistical classification Computational neuroscience VC dimension Artificial neural network Probably approximately correct learning Probability distribution Uniform convergence
7	Non-local spin field theories in dimension three Matthias Kreck, Stephan Stolz and Peter Teichner August 29, 2014 1 Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2015-06-17 03:57:54 Topology Mathematics Algebra Geometric topology Surgery theory Differential topology Mathematical physics Algebraic topology Diffeomorphism Topological quantum field theory Arf invariant Cobordism
8	Category-Based Routing in Social Networks: Membership Dimension and the Small-World Phenomenon David Eppstein∗ arXiv:1108.4675v1 [cs.SI] 23 Aug 2011 Add to Reading List Source URL: www.dcg.ethz.ch Language: English - Date: 2014-09-26 08:28:56 Graph theory Mathematics Network theory Routing algorithms Edsger W. Dijkstra Spanning tree Bipartite graphs Shortest path problem Tree Graph Geographic routing Routing
9	DIAGNOSTIC IN-CLASS QUIZ: DUE MONDAY NOVEMBER 25: SUBSPACE, BASIS, AND DIMENSION MATH 196, SECTION 57 (VIPUL NAIK) Your name (print clearly in capital letters): PLEASE DO NOT DISCUSS ANY QUESTIONS. Add to Reading List Source URL: files.vipulnaik.com Language: English - Date: 2016-08-13 11:33:29 Operator theory Mathematics Linear algebra Functional analysis Linear subspace
10	Algorithmic information, plane Kakeya sets, and conditional dimension Jack H. Lutz∗ Neil Lutz† Add to Reading List Source URL: paul.rutgers.edu Language: English - Date: 2016-02-16 15:07:26 Mathematics Mathematical analysis Dimension theory Geometry Fractals Metric geometry Effective dimension Kakeya set Hausdorff dimension MinkowskiBouligand dimension Kolmogorov complexity Limit of a function

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