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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

 

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!

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

 

News

  • 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.

Travel

Upcoming

Recent

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