IPRPI & RPI Logos Inverse Problems Center

Upcoming Seminars

Past Seminars
  Spring 2013
  Fall 2012
  Spring 2012

Spring 2011
Summer 2010
Spring 2010
Fall 2009
Spring 2009
Fall 2008
Spring 2008
Fall 2007
Spring 2007
Spring 2006
Fall 2005
Spring 2005
Fall 2004
Spring 2004
Spring 2003
Spring 2002

Upcoming Seminars

Wednesday, November 19, 2014

12:00 - 1:00 pm (Lunch Provided)

Amos Eaton Room 402

Speaker: Rongjie Lai, Assistant Professor Mathematical Sciences, RPI


Abstract: $/ell_1$ regularization for sparsity has played an important role in recent developments in many fields inculding signal processing, statistics, optimization. The concept of sparsity is usually for the coefficients (i.e., only a small set of coefficients are nonzero) in a well-chosen set of modes (e.g. a basis or dictionary) for representation of the corresponding vectors or functions. In this talk, I will discuss our recent work on a new use of sparsity-promoting techniques to produce "compressed modes" - modes that are sparse and localized in space - for efficient solutions of constrained variational problems in mathematics and physics. In this talk, I will discuss L1 regularized variational Schrodinger equations for creating spatially localized modes and orthonormal basis, which can efficiently represent localized functions and has promising potential to a variety of applications in many fields such a signal processing, numerical PDEs, computational physics etc. In addition, I will aslo discuss our recent work on compressed density function which can be viewed as a convex version of the compressed modes based in lifting idea. L