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Scholarly Interest Report
         
Paul Hand
Assistant Professor
Assistant Professor of Computational and Applied Mathematics
 
e-mail:Paul.Hand@rice.edu
 
Primary Department
   Department of Computational and Applied Mathematics
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Research Areas
 My current research focus is to develop new and faster ways of recovering signals in a variety of noisy contexts. I'm particularly interested in finding and simplifying convex programs that have provable recovery guarantees.
 
Selected Publications
 Refereed articles
 

P.E. Hand "PhaseLift is robust to a constant fraction of arbitrary errors." Applied and Computational Harmonic Analysis (2015)

 
 

P.E. Hand, C. Lee, V. Voroninski "ShapeFit: Exact location recovery from corrupted pairwise directions." Communications on Pure and Applied Mathematics (2016)

 
 

Paul Hand and Babhru Joshi "A Convex Program for Mixed Linear Regression with a Recovery Guarantee for Well-Separated Data." Submitted

 
 

P.E. Hand, C. Lee, V. Voroninski "Exact simultaneous recovery of locations and structure from known orientations and corrupted point correspondences."  (2015) Submitted

 
 

L. Demanet and P.E. Hand "Scaling law for finding the sparsest element in a subspace." Information and Inference, 3 (2014) : 295-309.

 
 

L. Demanet and P.E. Hand "Stable Optimizationless Recovery from Phaseless Linear Measurements." J. Fourier Anal. Appl., 20(1) (2014) : 199-221.

 
 

P.E. Hand "Conditions for existence of dual certificates in rank-one semidefinite problems." Commun. Math. Sci, 12(7) (2014) : 1363-1378.

 
 Articles
 

Paul Hand and Vladislav Voroninski "An Elementary Proof of Convex Phase Retrieval in the Natural Parameter Space via the Linear Program PhaseMax." In Progress

 
 

Paul Hand and Vladislav Voroninski "Compressed Sensing from Phaseless Gaussian Measurements via Linear Program- ming in the Natural Parameter Space." In Progress

 
 

Paul Hand and Vladislav Voroninski "Corruption Robust Phase Retrieval via Linear Programming." In Progress

 
 Refereed conference papers
 

T. Goldstein, P. Hand, C. Lee, S. Soatto, V. Voroninski "Robust, scalable Structure from Motion with ShapeFit and ShapeKick." Proceedings of European Conference on Computer Vision (ECCV) (2016)

 
Presentations
 Conference Paper
 

"

ShapeFit: Exact location recovery for a problem from machine vision 

." Joint Mathematics Meetings, Seattle, WA. (1/8/2016)

 
 

"ShapeFit and ShapeKick for Robust, Scalable Structure from Motion." European Conference on Computer Vision, Amsterdam. (10/13/2016)

 
 Invited Talks
 

"Corruption tolerant algorithms for signal recovery." Division of Applied Mathematics, Brown University, (1/28/2016)

 
 

"Robust PhaseLift can tolerate arbitrary scalings of the fraction of random outliers." Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA. (11/8/2016)

 
 

"ShapeFit and ShapeKic kfor Robust, Scalable Structure from Motion." University of Maryland, (9/14/2016)

 
 

"ShapeFit: Exact location recovery from corrupted pairwise directions." University of Chicago, (4/25/2016)

 
 

"ShapeFit: Exact location recovery from corrupted pairwise directions." Princeton, (5/4/2016)

 
 

"ShapeFit: Exact location recovery from corrupted pairwise directions." SIAM Conference on Imaging Sciences, Albuquerque, NM. (5/24/2016)

 
 

Invited Speaker.  "A semidefinite program that solves phase retrieval with corrupted data." Rice University, Department of Mathematics Colloquium, Houston, Texas. (Aug 27, 2015)

 
 

Invited Speaker.  "An algorithm for phase retrieval with corrupted data." Tufts University Department of Mathematics Colloquium, Medford, Massachusetts. (Sep 25, 2015)

 
 

Invited Speaker.  "Phase retrieval by PhaseLift is robust to arbitrary errors." Mitsubishi Electric Research Laboratories, Cambridge, Massachusetts. (May 5, 2015)

 
 

Invited Speaker.  "Phase retrieval by PhaseLift is robust to arbitrary errors." University of Indiana - Bloomington Probability Seminar, Bloomington, Indiana. (Mar 12, 2015)

 
 

Invited Session Speaker.  "PhaseLift is robust to a constant fraction of arbitrary errors." Special Session on Phase Retrieval, AMS Sectional Meeting, East Lansing, Michigan. (Mar 14, 201)

 
 

Invited Session Speaker.  "PhaseLift is robust to arbitrary corruption." General Session on Optimality and Computation. 11th International Conference on Sampling Theory and Applications (SampTA), Washington, DC. (May 29, 2015)

 
 

Invited Speaker.  "ShapeFit: Exact location recovery for a problem from machine vision." Oregon State University. Mathematics Colloquium/Applied Mathematics Seminar, Corvallis, Oregon. (Nov 20, 2015)

 
 

Invited Session Speaker.  "ShapeFit: Exact location recovery from corrupted pairwise directions." Invited Session on High-dimensional Data Analysis. 45th Symposium on the Interface of Computing Science and Statistics, Morgantown, West Virginia. (Jul 11, 2015)

 
 

Colloquium Speaker.  "Solving Phase Retrieval by PhaseLift is Robust to Arbitrary Errors." Rice University, Computational and Applied Mathematics Colloquium, Houston, Texas. (Apr 20, 2015)

 
 Seminar Speaker
 

"Computer Vision Algorithms

Inspired by Compressed Sensing." Ken Kennedy Institute Member Luncheon, Rice University. (10/7/2016)

 
 

Invited Speaker.  "Phase Retrieval by PhaseLift is robust to arbitrary errors." Texas A&M Numerical Analysis Seminar, College Station, Texas. (Apr 29, 2015)

 
 

Seminar Speaker.  "Phase Retrieval with corrupted data via PhaseLift." New York University Applied Mathematics Seminar, New York City, New York. (Oct 9, 2015)

 
 

Seminar Speaker.  "ShapeFit: Exact location recovery for a problem from machine vision." Georgia Tech. Stochastics Seminar, Atlanta, Georgia. (Dec 3, 2015)

 
 

Seminar Speaker.  "ShapeFit: Exact location recovery from corrupted pairwise directions." University of Maryland, Norbert Wiener Center Seminar, College Park, Maryland. (Oct 13, 2015)

 
 

Seminar Speaker.  "ShapeFit: Exact location recovery from corrupted pairwise directions." Tufts University Applied/Computational Mathematics Seminar, Medford, Massachusetts. (Sep 23, 2015)

 
 

Seminar Speaker.  "ShapeFit: Exact location recovery from corrupted pairwise directions." University of Houston. Scientific Computing Seminar, Houston, Texas. (Nov 5, 2015)

 
Supervised Theses & Dissertations
 Jeff Lievense, PhD Phase Retrieval via Convolutional Neural Networks. (2015) (Thesis Committee Member)

 Yue Hu, PhD Statistical and Algorithmic Methods for High-Dimensional and Highly Correlated Data. (2015) (Thesis Committee Member)

 Thang Huynh, Ph.D. Accurate Quantization in Redundant Systems: From Frames to Compressive Sampling and Phase Retrieval. (2016) (Thesis Committee Member)

 Yue Hu, Ph.D. Statistics Statistical and Algorithmic Methods for High-Dimensional and Highly-Correlated Data. (2016) (Thesis Committee Member)

 Babhru Joshi, MS Applied Mathematics A convex algorithm for mixed linear regression. (2016) (Thesis Director)

 Boris Brimkov, MA Efficient computation of chromatic and flow polynomials. (2018) (Thesis Committee Member)

 Jian Chen, Masters, Applied Physics TBD. (Thesis Committee Member)