Zurich colloquium in mathematics

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Date / Time

Speaker

Title

Location

* 20 September 2011
17:15-18:15

Prof. Dr. Emmanuel Candes
Stanford University, USA

Event Details

Title	Robust Principal Component Analysis? Some Theory and Some Applications
Speaker, Affiliation	Prof. Dr. Emmanuel Candes, Stanford University, USA
Date, Time	20 September 2011, 17:15-18:15
Location	HG F 3
Abstract	This talk is about a curious phenomenon. Suppose we have a data matrix, which is the superposition of a low-rank component and a sparse component. Can we recover each component individually? We prove that under some suitable assumptions, it is possible to recover both the low-rank and the sparse components exactly by solving a very convenient convex program. This suggests the possibility of a principled approach to robust principal component analysis since our methodology and results assert that one can recover the principal components of a data matrix even though a positive fraction of its entries are arbitrarily corrupted. This extends to the situation where a fraction of the entries are missing as well. In the second part of the talk, we present applications in computer vision. In video surveillance, for example, our methodology allows for the detection of objects in a cluttered background. We show how the methodology can be adapted to simultaneously align a batch of images and correct serious defects/corruptions in each image, opening new perspectives. Joint work with X. Li, Y. Ma and J. Wright.

Robust Principal Component Analysis? Some Theory and Some Applicationsread_more

11 October 2011
17:15-18:15

Prof. Dr. Artur Avila
Instituto Nacional de Matemática Pura e Aplicada, Brasil

Event Details

Title	Global Theory of One-Frequency Schrödinger Operators
Speaker, Affiliation	Prof. Dr. Artur Avila, Instituto Nacional de Matemática Pura e Aplicada, Brasil
Date, Time	11 October 2011, 17:15-18:15
Location	KO2 F 150

Global Theory of One-Frequency Schrödinger Operators

KO2 F 150

1 November 2011
17:15-18:15

Prof. Dr. Francis Brown
Institut de Mathématiques de Jussieu, France

Event Details

Title	Multiple Zeta Values in Algebraic Geometry and Physics
Speaker, Affiliation	Prof. Dr. Francis Brown, Institut de Mathématiques de Jussieu, France
Date, Time	1 November 2011, 17:15-18:15
Location	KO2 F 150

Multiple Zeta Values in Algebraic Geometry and Physics

KO2 F 150

22 November 2011
17:15-18:15

Prof. Dr. Manfred Einsiedler
ETH Zurich, Switzerland

Event Details

Title	Periodic Orbits on Homogeneous Spaces
Speaker, Affiliation	Prof. Dr. Manfred Einsiedler, ETH Zurich, Switzerland
Date, Time	22 November 2011, 17:15-18:15
Location	KO2 F 150

Periodic Orbits on Homogeneous Spaces

KO2 F 150

6 December 2011
17:15-18:15

Prof. Dr. Hans Föllmer
Humboldt Universität zu Berlin, Germany

Event Details

Title	Risk and Uncertainty: On the Role of Probability in Finance
Speaker, Affiliation	Prof. Dr. Hans Föllmer, Humboldt Universität zu Berlin, Germany
Date, Time	6 December 2011, 17:15-18:15
Location	KO2 F 150

Risk and Uncertainty: On the Role of Probability in Finance

KO2 F 150

Note: events marked with an asterisk (*) indicate that the time and/or location are different from the usual time and/or location.

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