Metric learning by active crowd-sourcing Graham W. Taylor, Ian Spiro, Chris Bregler, and Rob Fergus Courant Institute of Mathematical Sciences, New York University {gwtaylor,spiro,bregler,fergus}@cs.nyu.edu Introduction

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The Annals of Statistics 2009, Vol. 37, No. 2, 961–978 DOI: AOS594 © Institute of Mathematical Statistics, 2009 MATRIX REPRESENTATIONS AND INDEPENDENCIES IN

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Tata Institute of Fundamental Research is pleased to present Some connections between representation theory and number theory Mathematical Panorama Lectures (A National Mathematics Year Event)

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Unsupervised Learning of Noisy-Or Bayesian Networks Yoni Halpern, David Sontag Department of Computer Science Courant Institute of Mathematical Sciences

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Wales Institute of Mathematical and Computational Sciences

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ALUMNI PROFILE ALUMNI PROFILE Athanassios S. Fokas Professor A. S. Fokas holds the Chair in Nonlinear Mathematical Science at the University of Cambridge in the UK.

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• Mathematical analysis
• Mathematics
• Guggenheim Fellows
• Athanassios S. Fokas
• California Institute of Technology
• Complex analysis
• Fokas
• RiemannHilbert problem
• Medical imaging
• Israel Gelfand

Unsupervised Learning of Sparse and Invariant Features Hierarchies Marc’Aurelio Ranzato1 , Y-Lan Boureau1 , Fu Jie Huang1 and Yann LeCun1 1 The Courant Institute of Mathematical Sciences - New York University

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Factor Graphs for Relational Regression Sumit Chopra∗ , Trivikaraman Thampy+ , Andrew Caplin+ , John Leahy+ , and Yann LeCun∗ *Courant Institute of Mathematical Sciences, New York University +Department of Economics,

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Almost Optimal Exploration in Multi-Armed Bandits Zohar Karnin Yahoo! Labs, Haifa, Israel Tomer Koren† Technion—Israel Institute of Technology, Haifa, Israel

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• Mathematics
• Computational complexity theory
• Mathematical analysis
• Machine learning
• Multi-armed bandit
• Stochastic optimization
• Algorithm
• Exponential time hypothesis
• Big O notation

Nonperiodic One-gap Potentials in Quantum Mechanics Dmitry V. Zakharov Courant Institute of Mathematical Sciences, New York University 251 Mercer Street, New York, NY, Vladimir E. Zakharov and Sergey A. Dyachenko

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