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

Source URL: www.theory.caltech.edu

Stat 928: Statistical Learning Theory Lecture: 24 Growth Functions and the VC dimension Instructor: Sham Kakade

Source URL: stat.wharton.upenn.edu

KK Parity in Warped Extra Dimension Work collaborated with K. Agashe, A. Falkowski, and G. Servant: arXiv:Ian Low

Source URL: theory.fnal.gov

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

Source URL: people.maths.ox.ac.uk

• Abstract algebra
• Algebra
• Mathematics
• Algebraic geometry
• Algebraic varieties
• Model theory
• Vector bundles
• Matroid theory
• Pregeometry
• Ample line bundle
• Morphism of algebraic varieties
• Dimension theory

Structural Graphical Lasso for Learning Mouse Brain Connectivity Sen Yang Qian Sun

Source URL: peterwonka.net

• Statistics
• Estimation theory
• Inverse problems
• Dimension reduction
• Maximum likelihood estimation
• Lasso
• Graphical lasso
• Feature selection
• Estimation of covariance matrices
• Regularization
• Matrix
• Loss function

Quantifying Generalization in Linearly Weighted Neural Networks (Short title: Quantifying Generalization) Martin Anthony1 and Sean B. Holden2 Abstract

Source URL: www.maths.lse.ac.uk

• 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

Non-local spin field theories in dimension three Matthias Kreck, Stephan Stolz and Peter Teichner August 29, 2014 1

Source URL: people.mpim-bonn.mpg.de

• Topology
• Mathematics
• Algebra
• Geometric topology
• Surgery theory
• Differential topology
• Mathematical physics
• Algebraic topology
• Diffeomorphism
• Topological quantum field theory
• Arf invariant
• Cobordism

Category-Based Routing in Social Networks: Membership Dimension and the Small-World Phenomenon David Eppstein∗ arXiv:1108.4675v1 [cs.SI] 23 Aug 2011

Source URL: www.dcg.ethz.ch

• Graph theory
• Mathematics
• Network theory
• Routing algorithms
• Edsger W. Dijkstra
• Spanning tree
• Bipartite graphs
• Shortest path problem
• Tree
• Graph
• Geographic routing
• Routing

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.

Source URL: files.vipulnaik.com

• Operator theory
• Mathematics
• Linear algebra
• Functional analysis
• Linear subspace

Algorithmic information, plane Kakeya sets, and conditional dimension Jack H. Lutz∗ Neil Lutz†

Source URL: paul.rutgers.edu

• Mathematics
• Mathematical analysis
• Dimension theory
• Geometry
• Fractals
• Metric geometry
• Effective dimension
• Kakeya set
• Hausdorff dimension
• MinkowskiBouligand dimension
• Kolmogorov complexity
• Limit of a function