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Research Interests

My research interests are variational and PDE methods, and efficient algorithms to solve inverse problems in imaging, computer vision, and related machine learning applications. There is a strong convergence between problems and methods in imaging on the one side, and data science and machine learning on the other side, and in my research I want to further explore these commonalities.

pdf icon CV

Education and Appointments

  • Assistant Professor, Montana State University, 2016 - present
  • CAM Assistant Adjunct Professor, UCLAExternal link, 2012-2016
    with Luminita VeseExternal link, Stan OsherExternal link, and Andrea BertozziExternal link
  • Ph.D. in Electrical and Electronics Engineering, EPFL, Switzerland, 2011
    Thesis: "Geodesic Active Fields: A Geometric Framework For Image Registration". pdf icon thesis
  • M.Sc. in Electrical and Electronics Engineering, EPFL, Switzerland, 2006

Undergraduate and Graduate students: If you are looking for a semester, summer, or individual study project, please get in touch! I am always interested in working with excellent students at all levels. 

 

Applied Mathematics Seminar

I schedule the applied seminar series this year. We meet Thursdays, 3:10-4:00pm, in 1-144 Wilson Hall.
Interested in giving a talk? Get in touch!

Scheduled talks

  • Aug 31: Nestor Guillen (Math, University of Amherst): Min-Max formulas for nonlocal elliptic operators and applications
  • Sep 7: Tomas Gedeon (Math, MSU): Model Rejection and Parameter Reduction via Time Series
  • Sep 14: Lisa Davis (Math, MSU): A continuum model and numerical simulations for transcription of a crowded gene--the RRN operon
  • Sep 21: Marcus Roper (Math, UCLA): Optimality in Microvascular Networks
  • Sep 28: James Mazer (Cell Bio & Neuroscience, MSU): The neural basis of stable attentional targeting during natural vision
  • Oct 5: Jing Qin (Math, MSU): EEG Source Imaging based on Spatial and Temporal Graph Structures
  • Oct 12: John Sheppard (Computer Science, MSU): Risk-based Prognostics and Health Management: Probabilistic Methods for Continuous-time Hazard Analysis and Risk Mitigation
  • Oct 19: Adam Wilander (Math, MSU): Leveraging the dynamics of an aggregation equation to extract community structure
  • Oct 26: Brendan Mumey (Computer Science, MSU): Exploring Frequented Regions in Pan-Genomic Graphs
  • Nov 2: Sarah Codd (Mechanical & Industrial Eng., MSU)
  • Nov 9: Alex Washburne (Microbiology & Immunology, MSU): Covariance-based tests of symmetric competition in stochastic communities and portfolios
  • Nov 16: Alex Washburne (Microbiology & Immunology, MSU): Phylogenetic factorization: using the evolutionary tree to define a graph-partitioning algorithm and matrix-factorization for biological big-data
  • Nov 30: David Hodge (Chemical and Biological Engineering, MSU)
  • Dec 7:

 

  • Jan 11:
  • Jan 18: Ryan Viertel (Math, U. Utah)
  • Jan 25: Tony Gaussoin (Math, MSU)
  • Feb 1:
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  • Feb 22:
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News

  • Oct 2017: Our group presented our research interests at the 2017 Freshman Research Symposium.pdf icon slides
  • Oct 2017: Thomas Herndon (Math undergraduate) joins the group to work on Graph-based Geometric Data Analysis: Image patches, random graphs, fractals, and the Ulam spiral, funded through the Undergraduate Scholars Program.
  • Sept 2017: Our paper on Variational Mode Decomposition has reached 300+ citations on google scholarExternal link, and is among most popular articles in IEEE Transactions on Signal ProcessingExternal link!
  • July 2017: I'll be moving to Wilson 2-223.
  • July 2017: NVIDIA GPU Grant Request was approved, and NVIDIA will support our work with the donation of a Titan Xp GPU card.
  • June 2017: Our 14 core, 128 GB RAM, 1 TB SDD workstation has arrived!
  • May - Aug 2017: Working with Catherine Potts and Carrington Metts on Graph-based geometrical data analysis.
  • May 2017: I was awarded an MSU Faculty Excellence Grant!
  • Mar 2017: The paper An Efficient Primal-Dual Method for the Obstacle Problem (with M. Xia, B. Osting, S. Osher) has been accepted for publication in the Journal of Scientific Computing.
    pdf icon preprint | View at publisherExternal link
  • Feb 2017: The paper Image Segmentation with Dynamic Artifacts Detection and Bias Correction has been accepted for publication in AIMS Inverse Problems and Imaging.
  • Jan 2017: The paper Two-Dimensional Compact Variational Mode Decomposition (with K. Dragomiretskiy, P. Weiss, and A. Bertozzi) has been accepted for publication in the Journal of Mathematical Imaging and Vision.
    pdf icon preprint | View at publisherExternal link
  • Nov 2016: Codes to Minimal Surface / Dirichlet Energy Criterion for Graph Partitioning now available.
    matlab logo code
  • Oct 2016: New paper on A Minimal Surface Criterion for Graph Partitioning (with B. Osting), in AIMS Inverse Problems and Imaging.
    pdf icon preprint | View at publisherExternal link
  • Aug 2016: Starting at Montana State University.

 

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