Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Thursday, October 25, 2018, 12:15 pm

**Duration**: 30 minutes

**Location**: CAB G51

**Speaker**: Lenny Fukshansky (Claremont McKenna College)

We investigate the problem of constructing m by d matrices A with small entries and d large comparing to m so that for all integer vectors x in R^d with at most m nonzero coordinates the Euclidean norm of the image vector Ax is bounded away from 0 by an absolute constant. A bound like this allows for robust recovery of the original sparse vector x from its image Ax. This problem is motivated by the compressed sensing paradigm and has numerous potential applications ranging from wireless communications to medical imaging. We use a combination of combinatorial, probabilistic and number-theoretic methods to discuss existence and some constructions of such sensing matrices with concrete examples. We also discuss limitations of our constructions, stemming from sparse variations of some classical results in the geometry of numbers. This is joint work with D. Needell and B. Sudakov.

Upcoming talks | All previous talks | Talks by speaker | Upcoming talks in iCal format (beta version!)

Previous talks by year: 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M | admin login