Gilad Lerman's Home Page

Contact Info

Gilad Lerman
127 Vincent Hall
206 Church St SE
Minneapolis, MN 55455 USA

Office: VinH 534
Phone: (612) 624-5541
Email: lerman@umn.edu

Office Hours

M & W 10-11am or by appointment

Research Interests

Preprints and Recent Publications

Kernel Spectral Curvature Clustering (KSCC). To appear in 4th international workshop on Dynamical Vision (ICCV 2009). See also supplemental material

Motion Segmentation by SCC on the Hopkins 155 Database. To appear in 4th international workshop on Dynamical Vision (ICCV 2009). See also supplemental material

Median K-flats for hybrid linear modeling with many outliers. To appear in 2nd international workshop on Subspace Methods (ICCV 2009). See also supplemental material

Spectral Curvature Clustering (SCC), Guangliang Chen and Gilad Lerman, Int J Comput Vis (2009) 81: 317–330. See also supplemental material

Foundations of a Multi-way Spectral Clustering Framework for Hybrid Linear Modeling. Guangliang Chen and Gilad Lerman. Appeared online in Foundations of Computational Mathematics (math arxiv version freely available here).

(see also a talk on the above two papers, menitioning also a with Tyler Whitehouse which will be updated soon)

High-Dimensional Menger-Type Curvatures-Part II: d-Separation and a Menagerie of Curvatures. Gilad Lerman and J. Tyler Whitehouse. Appeared online in Constructive Approximation.

High-dimensional Menger-type curvatures - part I: geometric multipoles and multiscale inequalities. Gilad Lerman and J. Tyler Whitehouse. Submitted (appears on math arxiv).

On d-dimensional d-semimetrics and simplex-type inequalities for high-dimensional sine functions. Gilad Lerman and J. Tyler Whitehouse, Journal of Approximation Theory (2009) 56 (1): 52-81 (math arxiv version is freely available here)

Defining functional distance using manifold embeddings of gene ontology annotations. Gilad Lerman and Boris E. Shakhnovich, PNAS 104 (27): 11334-11339 (2007)

Functional Genomics via Multiscale Analysis: Application to Gene Expression and ChIP-on-chip Data. Gilad Lerman, Joseph McQuown, Alexandre Blais, Brian D. Dynlacht, Guangliang Chen and Bud Mishra, Bioinformatics 23 (3): 314-320 (2007)

Teaching

Math 2373, IT Linear Algebra and Differential Equations, Fall 2009

Math 8600, Topics in Multi-Manifold Data Modeling, Spring 2009

Math 5467, Introduction to the Mathematics of Image and Data Analysis, Spring 2008

Other classes with webpages

Supplementary Material and Documented Software

Supplementary material to "Median K-Flats (MKF)" (Subspace Methods workshop in ICCV09)

Supplementary material to "Kernel Spectral Curvature Clustering (SCC)" ( ICCV workshop 2009)

Supplementary material to "Spectral Curvature Clustering (SCC)" ( IJCV, 2009 and FOCM, 2009)

Supplementary material to "Defining functional distance using manifold
embeddings of gene ontology annotations" (PNAS, 2007)

Supplementary material to "Functional Genomics via Multiscale Analysis: Application to Gene Expression and ChIP-on-chip Data" (Bioinformatics, 2007)

For the Non-expert but Interested Visitor

A talk on Imaging (titled: Mathematics in Everyday Life) for 5th and 6th graders at Highland Park Elementary school in Saint Paul, MN (ppt file written on April 2008)

Highlights of some achievements of current NSF award for the non-specialist (ppt file written on Dec. 2008)

Support for Research and Outreach Activities:

NSF grant #0612608
ONR grant #N000140811072

Last Modified Monday October 05, 2009 The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.