## Iterative Methods for Computing Eigenvectors of Nonlinear Operators

Guy Gilboa, arXiv preprint A chapter to appear in Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging. In this chapter we are examining several iterative methods for solving nonlinear eigenvalue problems. These arise in variational image-processing, graph partition and classification, nonlinear physics and more. The canonical eigenproblem we solve is $T(u)=\lambda […]

## NeurIPS 2020: Deeply Learned Spectral Total Variation Decomposition

Tamara G. Grossmann, Yury Korolev, Guy Gilboa, Carola-Bibiane Schönlieb, arXiv 2020 Accepted for NeurIPS 2020. Non-linear spectral decompositions of images based on one-homogeneous functionals such as total variation have gained considerable attention in the last few years. Due to their ability to extract spectral components corresponding to objects of different size and contrast, such decompositions […]

## Adaptive LiDAR Sampling and Depth Completion using Ensemble Variance

Eyal Gofer, Shachar Praisler, Guy Gilboa, arXiv July, 2020 Project details Abstract This work considers the problem of depth completion, with or without image data, where an algorithm may measure the depth of a prescribed limited number of pixels. The algorithmic challenge is to choose pixel positions strategically and dynamically to maximally reduce overall depth […]

## Presentations at SIAM Conference on Imaging Science

SIAM Conf on Imaging Sciences 2020 was held virtually this year. Ety and Ido presented talks at the minisymposium Nonlinear Spectral Analysis with Applications in Imaging and Data Science (a minisymposium organized by Leon Bungert, Ido Cohen and Guy Gilboa) Jonathan and Guy presented a joint work at the minisymposium Are We Ready for Semi-Supervised […]

## Mode Decomposition for Homogeneous Symmetric Operators

Ido Cohen, Omri Azencot, Pavel Lifshitz, Guy Gilboa, arXiv, July 2020 Finding latent structures in data is drawing increasing attention in broad and diverse fields such as fluid dynamics, signal processing, and machine learning. In this work, we formulate Dynamic Mode Decomposition (DMD) for two types of dynamical system. The first, a system which is […]

## Damian’s Seminar

The MSc Seminar of Damian Kaliroff was performed through Zoom on 23.4.2020. In the image – our group (after escape-room + lazer-tag event) in RGB and in the new representation. Here are links to Seminar recording (in Hebrew, download the file to play the full 48 minutes talk) Presentation Paper (D. Kaliroff, G. Gilboa, arXiv […]

## Nonlinear Power Method for Computing Eigenvectors of Proximal Operators and Neural Networks

Leon Bungert, Ester Hait-Fraenkel , Nicolas Papadakis and Guy Gilboa, arXiv Neural networks have revolutionized the field of data science, yielding remarkable solutions in a data-driven manner. For instance, in the field of mathematical imaging, they have surpassed traditional methods based on convex regularization. However, a fundamental theory supporting the practical applications is still in […]

## Super-Pixel Sampler – a Data-driven Approach for Depth Sampling and Reconstruction

Adam Wolff, Shachar Praisler, Ilya Tcenov and Guy Gilboa, “Super-Pixel Sampler – a Data-driven Approach for Depth Sampling and Reconstruction”, accepted to ICRA (Int. Conf. on Robotics and Automation) 2020. Paper See the video of our mechanical prototype Abstract Depth acquisition, based on active illumination, is essential for autonomous and robotic navigation. LiDARs (Light Detection […]

## Self-Supervised Unconstrained Illumination Invariant Representation

Damian Kaliroff, Guy Gilboa, arXiv We propose a new and completely data-driven approach for generating an unconstrained illumination invariant representation of images. Our method trains a neural network with a specialized triplet loss designed to emphasize actual scene changes while downplaying changes in illumination. For this purpose we use the BigTime image dataset, which contains […]

## Numeric Solutions of Eigenvalue Problems for Generic Nonlinear Operators

Ester Hait-Fraenkel, Guy Gilboa, arXiv Numerical methods for solving linear eigenvalue problem are widely studied and used in science and engineering. In this paper, we propose a generalized numerical method for solving eigenproblems for generic, nonlinear opera- tors. This has potentially wide implications, since most image processing algorithms (e.g. denoising) can be viewed as nonlinear […]

## Energy Dissipating Flows for Solving Nonlinear Eigenpair Problems

Ido Cohen, Guy Gilboa, “Energy dissipating flows for solving nonlinear eigenpair problems”, Journal of Computational Physics 375 (2018), 1138-1158. This work is concerned with computing nonlinear eigenpairs, which model solitary waves and various other physical phenomena. We aim at solving nonlinear eigenvalue problems of the general form $T(u)=\lambda Q(u)$. In our setting $T$ is a […]

## New Book

Many thanks to the whole group for contributing, commenting and proof-reading the new book. The online version can be downloaded at the Springer site

## Horizon 2020 RISE grant started March 2018

A 4 year grant NoMADS, Nonlocal Methods for Arbitrary Data Sources, as part of the RISE program, started on March 2018. Includes Collaboration between universities (Munster, Cambridge, UCLA, Bordeaux, Carnegie Mellon, Technion and more..) and industry.

## Paper of Raz & Guy accepted

The paper, based on the master thesis of Raz Nossek is now accepted (Sept 2017): R. Nossek & G. Gilboa, “Flows generating nonlinear eigenfunctions”, Journal of Scientific Computing. (a pdf of the accepted version will be published soon, see arXiv version)

## TIP Paper of Ety

Ety’s paper in IEEE Trans. on Image Processing is published, “Blind Facial Image Quality Enhancement Using Non-Rigid Semantic Patches “.

## Workshop in Cambridge Sept 2017

Tal and Guy participated in a workshop in Cambridge (Newton Institute) on Variational methods, new optimisation techniques and new fast numerical algorithms. Tal presented a poster on Spectral TV Hashing. Guy presented a talk: Nonlinear spectral analysis – beyond the convex case

## Workshop at Oberwolfach Math Institute, Germany, Jan 2016

Participating in a workshop on Mathematical Imaging and Surface Processing at the Oberwolfach Math Institute, Germany, January 2016.

## Postdoc position

Requirements Strong mathemetical and theoretical background. Knowledge in PDE’s, variational methods and convex analysis. PhD from departments of Applied Math/EE/CS. Solid publication record. Creativity. Knowledge in image processing – an advantage (not a must). Knowledge in Matlab – an advantage (not a must). English – high writing and speaking skills. Description of Position Performing research […]

## SIAM Conf on Imaging Sciences, Albuquerque, USA, May 2016

Giving 2 talks (and being a co-author in 3 others) in SIAM Conf on Imaging Sciences.

## Talk at Cambridge (Oct 2015)

Talk at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge, at the Applied and Computational Analysis Seminar on “Processing Textures in the Spectral Total-Variation Domain”, Oct. 2015.

## Talk at the International Applied Math Congress, ICIAM (Aug. 2015)

The International Congress on Industrial and Applied Mathematics (ICIAM) is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics. From August 10 to 14, 2015, mathematicians from around the world will gather in Beijing, China for the 8th […]

## SSVM 2015 presentations (June 2015)

Presenting papers in Scale Space and Variational Methods in Computer Vision (SSVM) in Lège Cap Ferret, France (June 2015).

## Talk at RICAM, Linz (Oct. 2014)

I will be giving a talk at RICAM (Radon Institute for Computational and Applied Mathematics) in October. This is part of the Special Semester on New Trends in Calculus of Variations and is within the second workshop on Variational Methods in Imaging.

## 3D Lab Now Open

The renovation of the 3D Lab is finished! (July 2014) New projects concerning 3D video processing and analysis are planned to be conducted in the lab. It is located on the 6th floor of Meyer Bldg (room 661) and is part of the VISL lab. The 3D animation is thanks to Jason Hise.

## TCE talk

See more on the Technion TCE confernce . Abstract of the talk Peeling Images – A Structured Layer Representation Using the TV Transform

## SIAM Imaging Science Conference

The talk is given in Hong-Kong on May at SIAM-IS 2014 on texture analysis of color images using the TV transform (within the minisymposium on Color Perception and Image Enhancement, see program) .