Nonlocal Methods for Arbitrary Data Sources

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Publication of elaborated Wikipedia articles for nonlocal methods

We will write elaborated articles on the English Wikipedia website to transfer knowledge about nonlocal methods to the public.

Publication of educative MATLAB tutorials on MathWorks FileExchange

We will publish MATLAB tutorials and educative software examples on the MATLAB exchange platform to transfer knowledge about nonlocal methods to programmers

Publication of online lecture notes on nonlocal methods for different audiences

We will publish lecture notes on nonlocal methods both in the discrete as well as continuous setting for different audiences, e.g., mathematiciens and engineers.

Publication of new mathematical findings (WP 1-4) in scientific journals and international conferences

We will publish the findings of Work Packages 15 in highlyrecognized journals and international conferences and aim for Open Access publishment where feasible

Implementation of a comprehensive open source library for graph-based models on GPGPUs

We will establish an open source implementation for working on discrete data using finite weighted graphs with parallelization support for GPGPUs.

Publications

Variational regularisation for inverse problems with imperfect forward operators and general noise models

Author(s): Leon Bungert, Martin Burger, Yury Korolev, Carola-Bibiane Schönlieb
Published in: Inverse Problems, Issue 36/12, 2020, Page(s) 125014, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/abc531

Learning new physics efficiently with nonparametric methods

Author(s): Letizia, Marco; Losapio, Gianvito; Rando, Marco; Grosso, Gaia; Wulzer, Andrea; Pierini, Maurizio; Zanetti, Marco; Rosasco, Lorenzo
Published in: The European Physical Journal C, Issue 82.10, 2022, ISSN 1434-6052
Publisher: Springer
DOI: 10.1140/epjc/s10052-022-10830-y

Rates of Convergence for Laplacian Semi-Supervised Learning with Low Labeling Rates

Author(s): Jeff Calder, Dejan Slepcev and Matthew Thorpe
Published in: Research in the Mathematical Sciences, Issue 10.1, 2023, ISSN 2522-0144
Publisher: SpringerOpen
DOI: 10.1007/s40687-022-00371-x

Efficient $\ell ^0$ Gradient-Based Super-Resolution for Simplified Image Segmentation

Author(s): Pasquale Cascarano, Luca Calatroni, Elena Loli Piccolomini
Published in: IEEE Transactions on Computational Imaging, Issue 7, 2022, Page(s) 399-408, ISSN 2333-9403
Publisher: IEEE
DOI: 10.1109/tci.2021.3070720

COL0RME: Super-resolution microscopy based on sparse blinking/fluctuating fluorophore localization and intensity estimation

Author(s): Stergiopoulou, Vasiliki; Calatroni, Luca; de Morais Goulart, Henrique; Schaub, Sébastien; Blanc-Féraud, Laure
Published in: Biological Imaging, Issue 2.E1, 2022, ISSN 2633-903X
Publisher: Cambridge University Press
DOI: 10.1017/s2633903x22000010

A Stochastic Proximal Alternating Minimization for Nonsmooth and Nonconvex Optimization

Author(s): Driggs, Derek; Tang, Junqi; Liang, Jingwei; Davies, Mike; Schönlieb, Carola-Bibiane
Published in: SIAM Journal on Imaging Sciences, Issue 14.4, 2021, Page(s) 1932--1970, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1387213

Continuum limit of p-Laplacian evolution problems on graphs:Lq graphons and sparse graphs

Author(s): I. El Bouchairi, M.J. Fadili, A. Elmoataz
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 57.3, 2023, Page(s) 1795--1838, ISSN 0764-583X
Publisher: EDP Sciences
DOI: 10.1051/m2an/2023006

Network Structured Kinetic Models of Social Interactions.

Author(s): Martin Burger
Published in: Vietnam Journal of Mathematics, Issue 49.3, 2021, Page(s) 937-956, ISSN 2305-2228
Publisher: Springer
DOI: 10.1007/s10013-021-00505-8

On and beyond Total Variation regularisation in imaging: the role of space variance

Author(s): Pragliola, Monica; Calatroni, Luca; Lanza, Alessandro; Sgallari, Fiorella
Published in: SIAM Review, Issue 65.3, 2023, Page(s) 601-685, ISSN 0036-1445
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1410683

On Learned Operator Correction in Inverse Problems

Author(s): Sebastian Lunz, Andreas Hauptmann, Tanja Tarvainen, Carola-Bibiane Schönlieb, Simon Arridge
Published in: SIAM Journal on Imaging Sciences, Issue 14/1, 2021, Page(s) 92-127, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1338460

A Three-Stage Self-Training Framework for Semi-Supervised Semantic Segmentation

Author(s): R Ke, A Aviles-Rivero, S Pandey, S Reddy, CB Schönlieb
Published in: IEEE Transactions on Image Processing, Issue 31, 2022, Page(s) 1805 - 1815, ISSN 1057-7149
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tip.2022.3144036

ADMM-Based Residual Whiteness Principle for Automatic Parameter Selection in Single Image Super-Resolution Problems

Author(s): Pragliola, Monica; Calatroni, Luca; Lanza, Alessandro; Sgallari, Fiorella
Published in: Journal of Mathematical Imaging and Vision, Issue 65.1, 2022, Page(s) 99--123, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-022-01110-1

Continuum Limit of Lipschitz Learning on Graphs

Author(s): Tim Roith, Leon Bungert
Published in: Foundations of Computational Mathematics, Issue 23.2, 2020, Page(s) 393-431, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-022-09557-9

On Anisotropic Optical Flow Inpainting Algorithms

Author(s): Lara Raad; Maria Oliver; Coloma Ballester; Gloria Haro; Enric Meinhardt
Published in: Image Processing On Line, Issue 1, 2020, Page(s) 78--104, ISSN 2105-1232
Publisher: IPOL Image Processing On Line & the authors
DOI: 10.5201/ipol.2020.281

Convergence rates of the Heavy-Ball method for quasi-strongly convex optimization

Author(s): Aujol, Jean-François; Dossal, Charles,; Rondepierre, Aude
Published in: SIAM Journal on Optimization, Issue 32.3, 2022, Page(s) 1817--1842, ISSN 1052-6234
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1403990

Towards soccer pass feasibility maps: the role of players' orientation

Author(s): Arbués-Sangüesa, Adrià; Martín, Adrián; Fernández, Javier; Haro, Gloria; Ballester, Coloma
Published in: Journal of Sports Sciences, Issue 39.24, 2021, Page(s) 2772--2785, ISSN 0264-0414
Publisher: Taylor & Francis
DOI: 10.1080/02640414.2021.1959176

Deep limits of residual neural networks

Author(s): M. Thorpe, Y. van Gennip
Published in: Research in the Mathematical Sciences, Issue 10.1, 2022, ISSN 2197-9847
Publisher: SpringerOpen
DOI: 10.1007/s40687-022-00370-y

3D deformable registration of longitudinal abdominopelvic CT images using unsupervised deep learning

Author(s): Maureen van Eijnatten, Leonardo Rundo, K. Joost Batenburg, Felix Lucka, Emma Beddowes, Carlos Caldas, Ferdia A. Gallagher, Evis Sala, Carola-Bibiane Schönlieb, Ramona Woitek
Published in: Computer Methods and Programs in Biomedicine, Issue 208, 2021, Page(s) 106261, ISSN 0169-2607
Publisher: Elsevier BV
DOI: 10.1016/j.cmpb.2021.106261

The U-Net Family for Epicardial Adipose Tissue Segmentation and Quantification in Low-Dose CT

Author(s): Liu, Lu; Ma, Runlei; van Ooijen, Peter M. A.; Oudkerk, Matthijs; Vliegenthart, Rozemarijn; Veldhuis, Raymond N. J.; Brune, Christoph
Published in: Technologies, Issue 11.4, 2023, Page(s) 104, ISSN 2227-7080
Publisher: MDPI
DOI: 10.3390/technologies11040104

From graph cuts to isoperimetric inequalities: Convergence rates of Cheeger cuts on data clouds

Author(s): Trillos, Nicolas Garcia; Murray, Ryan; Thorpe, Matthew
Published in: Archive for Rational Mechanics and Analysis, Issue 244.3, 2022, Page(s) 541-598, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-022-01770-8

Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces

Author(s): Lazzaretti, Marta; Calatroni, Luca; Estatico, Claudio
Published in: SIAM Journal on Scientific Computing, Issue 44.6, 2022, Page(s) A3463-A3489, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1464336

Convergence of an asynchronous block-coordinate forward-backward algorithm for convex composite optimization

Author(s): Traoré, Cheik; Salzo, Saverio; Villa, Silvia
Published in: Computational Optimization and Applications, Issue 86.1, 2023, Page(s) 303-344, ISSN 0926-6003
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10589-023-00489-w

Structural analysis of an L-infinity variationalproblem and relations to distance functions

Author(s): Leon Bungert, Yury Korolev, Martin Burger
Published in: Pure and Applied Analysis, Issue 2/3, 2020, Page(s) 703-738, ISSN 2578-5885
Publisher: Mathematical Science Publishers
DOI: 10.2140/paa.2020.2.703

"Improving ""Fast Iterative Shrinkage-Thresholding Algorithm"": Faster, Smarter, and Greedier"

Author(s): Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane
Published in: {SIAM} Journal on Scientific Computing, Issue 44.3, 2022, Page(s) A1069-A1091, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1395685

Limits and consistency of nonlocal and graph approximations to the Eikonal equation

Author(s): Jalal Fadili, Nicolas Forcadel, Thi Tuyen Nguyen, Rita Zantout
Published in: IMA Journal of Numerical Analysis, Issue 43, 2023, Page(s) 3685-3728, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/drac082

An elementary analysis of ridge regression with random design

Author(s): Mourtada, Jaouad; Rosasco, Lorenzo
Published in: Comptes Rendus. Math{\'{e}}matique, Issue 360.G9, 2022, Page(s) 1055--1063, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.5802/crmath.367

Constrained and Unconstrained Inverse Potts Modelling for Joint Image Super-Resolution and Segmentation

Author(s): Mylonopoulos, Dario; Cascarano, Pasquale; Calatroni, Luca; Piccolomini, Elena Loli
Published in: Image Processing On Line, Issue 12, 2022, Page(s) 92--110, ISSN 2105-1232
Publisher: Image Processing On Line & the authors
DOI: 10.5201/ipol.2022.393

Learning phase field mean curvature flows with neural networks

Author(s): Bretin, Elie; Denis, Roland; Masnou, Simon; Terii, Garry
Published in: Journal of Computational Physics, Issue 470, 2022, Page(s) 111579, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2022.111579

Fast and stable schemes for non-linear osmosis filtering

Author(s): Calatroni, L.; Morigi, S.; Parisotto, S.; Recupero, G. A.
Published in: Computers & Mathematics with Applications, Issue 133, 2023, Page(s) 30-47, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2022.12.015

Joint reconstruction-segmentation on graphs

Author(s): Jeremy Budd, Yves van Gennip, Jonas Latz, Simone Parisotto, Carola-Bibiane Schönlieb
Published in: SIAM Journal on Imaging Sciences, Issue 16.2, 2023, Page(s) 911-947, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/22m151546x

Modes of Homogeneous Gradient Flows

Author(s): Ido Cohen; Omri Azencot; Pavel Lifshits; Guy Gilboa
Published in: SIAM Journal on Imaging Sciences, Issue 14.3, 2021, Page(s) 913--945, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.13140/rg.2.2.28495.71848

Autophosphorylation and the dynamics of the activation of Lck

Author(s): Lisa Maria Kreusser, Alan D. Rendall
Published in: Bulletin of Mathematical Biology, Issue 83.6, 2021, ISSN 0092-8240
Publisher: Academic Press
DOI: 10.1007/s11538-021-00900-9

A Geometric Integration Approach to Nonsmooth, Nonconvex Optimisation

Author(s): Riis, Erlend S.; Ehrhardt, Matthias J.; Quispel, G. R. W.; Schönlieb, Carola-Bibiane
Published in: Foundations of Computational Mathematics, Issue 22.5, 2021, Page(s) 1351--1394, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-020-09489-2

Space-variant image reconstruction via Cauchy regularisation: Application to Optical Coherence Tomography

Author(s): Achim, Alin; Calatroni, Luca; Morigi, Serena; Scrivanti, Gabriele
Published in: Signal Processing, Issue 205, 2023, Page(s) 108866, ISSN 0165-1684
Publisher: Elsevier BV
DOI: 10.1016/j.sigpro.2022.108866

FISTA is an automatic geometrically optimized algorithm for strongly convex functions

Author(s): J-F Aujol, C. Dossal, and A. Rondepierre
Published in: Mathematical Programming, 2023, ISSN 0025-5610
Publisher: Springer Verlag
DOI: 10.1007/s10107-023-01960-6

Mean-field optimal control for biological pattern formation

Author(s): Burger, Martin; Kreusser, Lisa Maria; Totzeck, Claudia
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Issue 27, 2021, Page(s) 40, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2021034

Unsupervised clustering of Roman potsherds via Variational Autoencoders

Author(s): Parisotto, Simone; Leone, Ninetta; Schönlieb, Carola-Bibiane; Launaro, Alessandro
Published in: Journal of Archaeological Science, Issue 142, 2022, Page(s) 105598, ISSN 0305-4403
Publisher: Academic Press
DOI: 10.1016/j.jas.2022.105598

A Bregman Learning Framework for Sparse Neural Networks

Author(s): Bungert, Leon; Roith, Tim; Tenbrinck, Daniel; Burger, Martin
Published in: Journal of Machine Learning Research, Issue 23.192, 2022, ISSN 1533-7928
Publisher: Journal of Machine Learning Research
DOI: 10.48550/arxiv.2105.04319

imaging with equivariant deep learning: from unrolled network design to fully unsupervised learning

Author(s): Chen, Dongdong; Davies, Mike; Ehrhardt, Matthias J.; Schonlieb, Carola-Bibiane; Sherry, Ferdia; Tachella, Julian
Published in: IEEE Signal Processing Magazine, Issue 40.1, 2023, Page(s) 134--147, ISSN 1053-5888
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/msp.2022.3205430

Unsupervised Image Restoration Using Partially Linear Denoisers

Author(s): R Ke, CB Schönlieb
Published in: IEEE Transactions on Pattern Analysis and Machine Intelligence, Issue 44.9, 2021, Page(s) 5796 -- 5812, ISSN 0162-8828
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tpami.2021.3070382

On the Emergence of Whole-Body Strategies From Humanoid Robot Push-Recovery Learning

Author(s): Ferigo, Diego; Camoriano, Raffaello; Viceconte, Paolo Maria; Calandriello, Daniele; Traversaro, Silvio; Rosasco, Lorenzo; Pucci, Daniele
Published in: IEEE Robotics and Automation Letters, Issue 6.4, 2021, Page(s) 8561--8568, ISSN 2377-3766
Publisher: IEEE
DOI: 10.1109/lra.2021.3076955

Convergence rates of the Heavy-Ball method with Lojasiewicz property

Author(s): Aujol, J-F; Dossal, Ch; Rondepierre, Aude
Published in: Mathematical Programming, Issue 198.1, 2022, Page(s) 195-254, ISSN 0025-5610
Publisher: Springer Verlag
DOI: 10.1007/s10107-022-01770-2

A mobility-SAV approach for a Cahn-Hilliard equation with degenerate mobilities

Author(s): Elie Bretin, null null, Luca Calatroni, Simon Masnou, null null, null null
Published in: Discrete and Continuous Dynamical Systems - S, Issue 17, 2024, Page(s) 131-159, ISSN 1937-1632
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdss.2023177

Zeroth-order optimization with orthogonal random directions

Author(s): Kozak, David; Molinari, Cesare; Rosasco, Lorenzo; Tenorio, Luis; Villa, Silvia
Published in: Mathematical Programming, Issue 199.1-2, 2022, Page(s) 1179--1219, ISSN 0025-5610
Publisher: Springer Verlag
DOI: 10.1007/s10107-022-01866-9

Anatomy-aided deep learning for medical image segmentation: a review

Author(s): Liu, Lu; Wolterink, Jelmer M.; Brune, Christoph; Veldhuis, Raymond N. J.
Published in: Physics in Medicine & Biology, Issue 66.11, 2021, Page(s) 11TR01, ISSN 1361-6560
Publisher: IOP Publishing
DOI: 10.1088/1361-6560/abfbf4

DIP-VBTV: A Color Image Restoration Model Combining a Deep Image Prior and a Vector Bundle Total Variation

Author(s): Thomas Batard, Gloria Haro, Coloma Ballester
Published in: SIAM Journal on Imaging Sciences, Issue 14, 2021, Page(s) 1816-1847, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1378697

Mumford–Shah functionals on graphs and their asymptotics

Author(s): Marco Caroccia, Antonin Chambolle, Dejan Slepčev
Published in: Nonlinearity, Issue 33/8, 2020, Page(s) 3846-3888, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab81ee

Multi-Task Deep Learning for Image Segmentation Using Recursive Approximation Tasks

Author(s): R. Ke, A. Bugeau, N. Papadakis, M. Kirkland, P. Schuetz and C. -B. Schönlieb
Published in: IEEE Transactions on Image Processing, Issue 30, 2021, Page(s) 3555-3567, ISSN 1057-7149
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tip.2021.3062726

Continuum Limits of Nonlocal $p$-Laplacian Variational Problems on Graphs

Author(s): Yosra Hafiene; Jalal M. Fadili; Abderrahim Elmoataz
Published in: SIAM Journal on Imaging Sciences, Society for Industrial and Applied Mathematics, 2019, Issue 39, 2019, Page(s) 1772--1807, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1223927

Robust Image Reconstruction With Misaligned Structural Information

Author(s): Leon Bungert, Matthias J. Ehrhardt
Published in: IEEE Access, Issue 8, 2020, Page(s) 222944-222955, ISSN 2169-3536
Publisher: Institute of Electrical and Electronics Engineers Inc.
DOI: 10.1109/access.2020.3043638

Mass-conserving diffusion-based dynamics on graphs

Author(s): Budd, Jeremy; van Gennip, Yves
Published in: European Journal of Applied Mathematics, Issue 33.3, 2021, Page(s) 423--471, ISSN 0956-7925
Publisher: Cambridge University Press
DOI: 10.1017/s0956792521000061

Construction and Monte Carlo estimation of wavelet frames generated by a reproducing kernel

Author(s): De Vito, Ernesto; Kereta, Zeljko; Naumova, Valeriya; Rosasco, Lorenzo; Vigogna, Stefano
Published in: Journal of Fourier Analysis and Applications, Issue 27.2, 2021, ISSN 1069-5869
Publisher: Birkhaeuser
DOI: 10.1007/s00041-021-09835-0

Monitoring early-successional trees for tropical forest restoration using low-cost UAV-based species classification

Author(s): Jonathan Williams, Carola-Bibiane Schönlieb, Tom Swinfield, Bambang Irawan, Eva Achmad, Muhammad Zudhi, Habibi, Elva Gemita, David A. Coomes
Published in: Frontiers in Forests and Global Change, Issue 5, 2022, ISSN 2624-893X
Publisher: Frontiers Media S.A.
DOI: 10.3389/ffgc.2022.876448

Variational multi-task MRI reconstruction: Joint reconstruction, registration and super-resolution

Author(s): Veronica Corona, Angelica Aviles-Rivero, Noémie Debroux, Carole Le Guyader, Carola-Bibiane Schönlieb
Published in: Medical Image Analysis, Issue 68, 2021, Page(s) 101941, ISSN 1361-8415
Publisher: Elsevier BV
DOI: 10.1016/j.media.2020.101941

Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds

Author(s): Ronny Bergmann, Roland Herzog, Maurício Silva Louzeiro, Daniel Tenbrinck, José Vidal-Núñez
Published in: Foundations of Computational Mathematics, 2021, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-020-09486-5

Ground Truth Free Denoising by Optimal Transport

Author(s): Sören Dittmer, Carola-Bibiane Schönlieb, Peter Maass
Published in: Numerical Algebra, Control and Optimization, 2020, ISSN 2155-3289
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/naco.2022017

Classification and image processing with a semi-discrete scheme for fidelity forced Allen--Cahn on graphs

Author(s): Jeremy Budd, Yves van Gennip, and Jonas Latz
Published in: GAMM-Mitteilungen, Issue 44.1, 2021, ISSN 1522-2608
Publisher: Wiley-VCH
DOI: 10.1002/gamm.202100004

Adaptive Anisotropic Total Variation: Analysis and Experimental Findings of Nonlinear Spectral Properties

Author(s): Shai Biton, Guy Gilboa
Published in: Journal of Mathematical Imaging and Vision, Issue 64, 2022, Page(s) 916-938, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-022-01097-9

GraphXCOVID: Explainable Deep Graph Diffusion Pseudo-Labelling for Identifying COVID-19 on Chest X-rays

Author(s): A. I Aviles-Rivero, P. Sellars, C.B. Schönlieb , N. Papadakis
Published in: Pattern Recognition, Issue 122, 2022, Page(s) 108274, ISSN 0031-3203
Publisher: Pergamon Press
DOI: 10.1016/j.patcog.2021.108274

Fluorescence image deconvolution microscopy via generative adversarial learning (FluoGAN)

Author(s): Mayeul Cachia; Vasiliki Stergiopoulou; Luca Calatroni; Sebastien Schaub; Laure Blanc-Féraud
Published in: Inverse Problems, Issue 39.5, 2023, Page(s) 054006, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/acc889

Graph MBO on Star Graphs and Regular Trees. With Corrections to DOI 10.1007/s00032-014-0216-8

Author(s): Yves van Gennip
Published in: Milan Journal of Mathematics, Issue 87/1, 2019, Page(s) 141-168, ISSN 1424-9286
Publisher: Birkhauser Verlag
DOI: 10.1007/s00032-019-00296-1

An Analysis and Speedup of the FALDOI Method for Optical Flow Estimation

Author(s): Ferran P. Gamonal, Coloma Ballester, Gloria Haro, Enric Meinhardt-Llopis, Roberto P. Palomares
Published in: Image Processing On Line, Issue 9, 2019, Page(s) 94-123, ISSN 2105-1232
Publisher: IPOL & the authors
DOI: 10.5201/ipol.2019.238

Anisotropic osmosis filtering for shadow removal in images

Author(s): Simone Parisotto, Luca Calatroni, Marco Caliari, Carola-Bibiane Schönlieb, Joachim Weickert
Published in: Inverse Problems, Issue 35/5, 2019, Page(s) 054001, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab08d2

Unveiling the invisible: mathematical methods for restoring and interpreting illuminated manuscripts

Author(s): Luca Calatroni, Marie d’Autume, Rob Hocking, Stella Panayotova, Simone Parisotto, Paola Ricciardi, Carola-Bibiane Schönlieb
Published in: Heritage Science, Issue 6/1, 2018, ISSN 2050-7445
Publisher: BioMed Central Ltd
DOI: 10.1186/s40494-018-0216-z

Theoretical Analysis of Flows Estimating Eigenfunctions of One-Homogeneous Functionals

Author(s): Jean-Franois Aujol, Guy Gilboa, Nicolas Papadakis
Published in: SIAM Journal on Imaging Sciences, Issue 11/2, 2018, Page(s) 1416-1440, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1139126

Rayleigh quotient minimization for absolutely one-homogeneous functionals

Author(s): Tal Feld, Jean-François Aujol, Guy Gilboa, Nicolas Papadakis
Published in: Inverse Problems, Issue 35/6, 2019, Page(s) 064003, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab0cb2

An Affine Invariant Patch Similarity

Author(s): Vadim Fedorov, Coloma Ballester
Published in: Image Processing On Line, Issue 8, 2018, Page(s) 490-513, ISSN 2105-1232
Publisher: IPOL & the authors
DOI: 10.5201/ipol.2018.202

Automatic Flare Spot Artifact Detection and Removal in Photographs

Author(s): Patricia Vitoria, Coloma Ballester
Published in: Journal of Mathematical Imaging and Vision, Issue 61/4, 2019, Page(s) 515-533, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-018-0859-0

Thresholding gradient methods in Hilbert spaces: support identification and linear convergence

Author(s): Guillaume Garrigos, Lorenzo Rosasco, Silvia Villa
Published in: ESAIM: Control, Optimisation and Calculus of Variations, 2019, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2019011

Solution paths of variational regularization methods for inverse problems

Author(s): Leon Bungert, Martin Burger
Published in: Inverse Problems, Issue 35/10, 2019, Page(s) 105012, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab1d71

An entropic Landweber method for linear ill-posed problems

Author(s): M Burger, E Resmerita, M Benning
Published in: Inverse Problems, Issue 36/1, 2020, Page(s) 015009, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab5c49

Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type

Author(s): Leon Bungert, Martin Burger
Published in: Journal of Evolution Equations, 2019, ISSN 1424-3199
Publisher: Birkhauser Verlag
DOI: 10.1007/s00028-019-00545-1

Nonlocal $p$-Laplacian Evolution Problems on Graphs

Author(s): Yosra Hafiene, Jalal Fadili, Abderrahim Elmoataz
Published in: SIAM Journal on Numerical Analysis, Issue 56/2, 2018, Page(s) 1064-1090, ISSN 0036-1429
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1123596

Continuum limit of the nonlocal p -Laplacian evolution problem on random inhomogeneous graphs

Author(s): Yosra Hafiene, Jalal M. Fadili, Christophe Chesneau, Abderrahim Elmoataz
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 54/2, 2020, Page(s) 565-589, ISSN 0764-583X
Publisher: EDP Sciences
DOI: 10.1051/m2an/2019066

Partial differential equations and variational methods for geometric processing of images

Author(s): Blanche Buet, Jean-Marie Mirebeau, Yves van Gennip, François Desquilbet, Johann Dreo, Frédéric Barbaresco, Gian Paolo Leonardi, Simon Masnou, Carola-Bibiane Schönlieb
Published in: The SMAI journal of computational mathematics, Issue S5, 2019, Page(s) 109-128, ISSN 2426-8399
Publisher: Centre Mersenne
DOI: 10.5802/smai-jcm.55

A computational model for grid maps in neural populations

Author(s): Fabio Anselmi, Micah M. Murray, Benedetta Franceschiello
Published in: Journal of Computational Neuroscience, 2020, ISSN 0929-5313
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10827-020-00742-9

Bregman Itoh–Abe Methods for Sparse Optimisation

Author(s): Martin Benning, Erlend Skaldehaug Riis, Carola-Bibiane Schönlieb
Published in: Journal of Mathematical Imaging and Vision, 2020, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-020-00944-x

Superpixel Contracted Graph-Based Learning for Hyperspectral Image Classification

Author(s): Philip Sellars, Angelica I. Aviles-Rivero, Carola-Bibiane Schonlieb
Published in: IEEE Transactions on Geoscience and Remote Sensing, 2020, Page(s) 1-14, ISSN 0196-2892
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tgrs.2019.2961599

A Variational Model Dedicated to Joint Segmentation, Registration, and Atlas Generation for Shape Analysis

Author(s): Noémie Debroux, John Aston, Fabien Bonardi, Alistair Forbes, Carole Le Guyader, Marina Romanchikova, Carola-Bibiane Schönlieb
Published in: SIAM Journal on Imaging Sciences, Issue 13/1, 2020, Page(s) 351-380, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1271907

TOMOGRAPHIC RECONSTRUCTION WITH SPATIALLY VARYING PARAMETER SELECTION

Author(s): Yiqiu Dong, Carola-Bibiane Schönlieb
Published in: Inverse Problems, 2020, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab72d4

A multi‐contrast MRI approach to thalamus segmentation

Author(s): Veronica Corona, Jan Lellmann, Peter Nestor, Carola‐Bibiane Schönlieb, Julio Acosta‐Cabronero
Published in: Human Brain Mapping, 2020, ISSN 1065-9471
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/hbm.24933

Stability Analysis of Line Patterns of an Anisotropic Interaction Model

Author(s): José A. Carrillo, Bertram Düring, Lisa Maria Kreusser, Carola-Bibiane Schönlieb
Published in: SIAM Journal on Applied Dynamical Systems, Issue 18/4, 2019, Page(s) 1798-1845, ISSN 1536-0040
Publisher: Society of Industrial and Applied Mathematics
DOI: 10.1137/18m1181638

3D Segmentation of Trees Through a Flexible Multiclass Graph Cut Algorithm

Author(s): Jonathan Williams, Carola-Bibiane Schonlieb, Tom Swinfield, Juheon Lee, Xiaohao Cai, Lan Qie, David A. Coomes
Published in: IEEE Transactions on Geoscience and Remote Sensing, Issue 58/2, 2020, Page(s) 754-776, ISSN 0196-2892
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tgrs.2019.2940146

Faster PET reconstruction with non-smooth priors by randomization and preconditioning

Author(s): Matthias J Ehrhardt, Pawel Markiewicz, Carola-Bibiane Schönlieb
Published in: Physics in Medicine & Biology, Issue 64/22, 2019, Page(s) 225019, ISSN 1361-6560
Publisher: IOP Publishing Ltd
DOI: 10.1088/1361-6560/ab3d07

Solving inverse problems using data-driven models

Author(s): Simon Arridge, Peter Maass, Ozan Öktem, Carola-Bibiane Schönlieb
Published in: Acta Numerica, Issue 28, 2019, Page(s) 1-174, ISSN 0962-4929
Publisher: Cambridge University Press
DOI: 10.1017/s0962492919000059

Linkage Between Piecewise Constant Mumford--Shah Model and Rudin--Osher--Fatemi Model and Its Virtue in Image Segmentation

Author(s): Xiaohao Cai, Raymond Chan, Carola-Bibiane Schönlieb, Gabriele Steidl, Tieyong Zeng
Published in: SIAM Journal on Scientific Computing, Issue 41/6, 2019, Page(s) B1310-B1340, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1202980

Enhancing joint reconstruction and segmentation with non-convex Bregman iteration

Author(s): Veronica Corona, Martin Benning, Matthias J Ehrhardt, Lynn F Gladden, Richard Mair, Andi Reci, Andrew J Sederman, Stefanie Reichelt, Carola-Bibiane Schönlieb
Published in: Inverse Problems, Issue 35/5, 2019, Page(s) 055001, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab0b77

Directional sinogram inpainting for limited angle tomography

Author(s): Robert Tovey, Martin Benning, Christoph Brune, Marinus J Lagerwerf, Sean M Collins, Rowan K Leary, Paul A Midgley, Carola-Bibiane Schönlieb
Published in: Inverse Problems, Issue 35/2, 2019, Page(s) 024004, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/aaf2fe

Template-Based Image Reconstruction from Sparse Tomographic Data

Author(s): Lukas F. Lang, Sebastian Neumayer, Ozan Öktem, Carola-Bibiane Schönlieb
Published in: Applied Mathematics & Optimization, 2019, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-019-09573-2

An MBO scheme for clustering and semi-supervised clustering of signed networks

Author(s): Mihai Cucuringu, Andrea Pizzoferrato, Yves van Gennip
Published in: Communications in Mathematical Sciences, Issue 19450796, 2021, Page(s) 73 – 109, ISSN 1945-0796
Publisher: International Press
DOI: 10.4310/cms.2021.v19.n1.a4

A Max-Cut approximation using a graph based MBO scheme

Author(s): Blaine Keetch, Yves van Gennip
Published in: Discrete & Continuous Dynamical Systems - B, Issue 24/11, 2019, Page(s) 6091-6139, ISSN 1553-524X
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2019132

Optical flow analysis reveals that Kinesin-mediated advection impacts the orientation of microtubules in the Drosophila oocyte

Author(s): Maik Drechsler, Lukas F. Lang, Layla Al-Khatib, Hendrik Dirks, Martin Burger, Carola-Bibiane Schönlieb, Isabel M. Palacios
Published in: Molecular Biology of the Cell, Issue 31/12, 2020, Page(s) 1246-1258, ISSN 1059-1524
Publisher: American Society for Cell Biology
DOI: 10.1091/mbc.e19-08-0440

Analysis and automatic parameter selection of a variational model for mixed Gaussian and salt-and-pepper noise removal

Author(s): Luca Calatroni, Kostas Papafitsoros
Published in: Inverse Problems, Issue 35/11, 2019, Page(s) 114001, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab291a

Approximation of the second eigenvalue of the $p$-Laplace operator in symmetric domains

Author(s): Bozorgnia, Farid
Published in: Journal of Computational and Applied Mathematics, Issue 434, 2023, Page(s) 115349, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2023.115349

A Deterministic Approach to Avoid Saddle Points

Author(s): Lisa Maria Kreusser, Stanley J. Osher, Bao Wang
Published in: European Journal of Applied Mathematics, Issue 34.4, 2023, Page(s) 738-757, ISSN 0956-7925
Publisher: Cambridge University Press
DOI: 10.1017/s0956792522000316

Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals

Author(s): Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
Published in: Analysis & PDE, Issue 14.3, 2021, Page(s) 823--860, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2021.14.823

Convergence of Stochastic Proximal Gradient Algorithm

Author(s): Lorenzo Rosasco, Silvia Villa, Bằng Công Vũ
Published in: Applied Mathematics & Optimization, 2019, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-019-09617-7

Large data and zero noise limits of graph-based semi-supervised learning algorithms

Author(s): Matthew M. Dunlop, Dejan Slepčev, Andrew M. Stuart, Matthew Thorpe
Published in: Applied and Computational Harmonic Analysis, 2019, ISSN 1063-5203
Publisher: Academic Press
DOI: 10.1016/j.acha.2019.03.005

Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics

Author(s): José A. Carrillo, Bertram Düring, Lisa Maria Kreusser, Carola-Bibiane Schönlieb
Published in: Discrete and Continuous Dynamical Systems, Issue 41.8, 2021, Page(s) 3985-4012, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2021025

Detection of high codimensional bifurcations in variational PDEs

Author(s): L M Kreusser, R I McLachlan, C Offen
Published in: Nonlinearity, Issue 33/5, 2020, Page(s) 2335-2363, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab7293

Accelerated iterative regularization via dual diagonal descent

Author(s): Luca Calatroni, Guillaume Garrigos, Lorenzo Rosasco, Silvia Villa
Published in: SIAM Journal on Optimization, Issue 31.1, 2021, Page(s) 754-784, ISSN 1052-6234
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1308888

On-line object detection: a robotics challenge

Author(s): Elisa Maiettini, Giulia Pasquale, Lorenzo Rosasco, Lorenzo Natale
Published in: Autonomous Robots, 2019, ISSN 0929-5593
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10514-019-09894-9

Parallel Random Block-Coordinate Forward-Backward Algorithm: A Unified Convergence Analysis

Author(s): Salzo, Saverio; Villa, Silvia
Published in: Mathematical Programming, Issue 193, 2022, Page(s) 225-269, ISSN 0025-5610
Publisher: Springer Verlag
DOI: 10.1007/s10107-020-01602-1

Multi-Scale Vector Quantization with Reconstruction Trees

Author(s): Enrico Cecini, Ernesto De Vito, Lorenzo Rosasco
Published in: Information and Inference: A Journal of the IMA, Issue 10.3, 2019, Page(s) 955-986, ISSN 2049-8772
Publisher: Oxford University Press
DOI: 10.1093/imaiai/iaaa004

Reproducing kernel Hilbert spaces on manifolds: Sobolev and Diffusion spaces

Author(s): Ernesto De Vito, Nicole Mücke, Lorenzo Rosasco
Published in: Analysis and Applications, Issue 19.3, 2019, Page(s) 363--396, ISSN 0219-5305
Publisher: World Scientific
DOI: 10.1142/s0219530520400114

Accelerating variance-reduced stochastic gradient methods

Author(s): Derek Driggs, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb
Published in: Mathematical Programming, 2020, ISSN 0025-5610
Publisher: Springer Verlag
DOI: 10.1007/s10107-020-01566-2

Learning the Sampling Pattern for MRI

Author(s): Ferdia Sherry, Martin Benning, Juan Carlos De los Reyes, Martin J. Graves, Georg Maierhofer, Guy Williams, Carola-Bibiane Schönlieb, Matthias J. Ehrhardt
Published in: IEEE Transactions on Medical Imaging, Issue 39.12, 2020, Page(s) 4310 - 4321, ISSN 0278-0062
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tmi.2020.3017353

Deep learning as optimal control problems: Models and numerical methods

Author(s): Martin Benning, Elena Celledoni, Matthias J. Ehrhardt, Brynjulf Owren, Carola-Bibiane Schönlieb
Published in: Journal of Computational Dynamics, Issue 6/2, 2019, Page(s) 171-198, ISSN 2158-2505
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jcd.2019009

Weak and approximate curvatures of a measure: a varifold perspective

Author(s): Buet, Blanche; Leonardi, Gian Paolo; Masnou, Simon
Published in: Nonlinear Analysis, Issue 222, 2022, Page(s) 112983, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2022.112983

Higher-Order Total Directional Variation: Analysis

Author(s): Simone Parisotto, Simon Masnou, Carola-Bibiane Schönlieb
Published in: SIAM Journal on Imaging Sciences, Issue 13/1, 2020, Page(s) 474-496, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1239210

Compressed Sensing Plus Motion (CS+M): A New Perspective for Improving Undersampled MR Image Reconstruction

Author(s): Angelica I. Aviles-Rivero, Noémie Debroux, Guy Williams, Martin J. Graves, Carola-Bibiane Schonlieb
Published in: Medical Image Analysis, Issue 68, 2021, Page(s) 101933, ISSN 1361-8415
Publisher: Elsevier BV
DOI: 10.1016/j.media.2020.101933

Learned SVD: solving inverse problems via hybrid autoencoding

Author(s): Yoeri E. Boink, Christoph Brune
Published in: SIAM Journal on Imaging Sciences (SIIMS), 2019, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics

Deep learning of circulating tumour cells

Author(s): Leonie L. Zeune, Yoeri E. Boink, Guus van Dalum, Afroditi Nanou, Sanne de Wit, Kiki C. Andree, Joost F. Swennenhuis, Stephan A. van Gils, Leon W.M.M. Terstappen, Christoph Brune
Published in: Nature Machine Intelligence, Issue 2/2, 2020, Page(s) 124-133, ISSN 2522-5839
Publisher: Springer Nature Limited
DOI: 10.1038/s42256-020-0153-x

On a class of singularly perturbed elliptic systems with asymptotic phase segregation

Author(s): Bozorgnia, Farid; Burger, Martin; Fotouhi, Morteza
Published in: Discrete and Continuous Dynamical Systems, Issue 42.7, 2022, Page(s) 3539, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2022023

TFPnP: Tuning-free Plug-and-Play Proximal Algorithm with Applications to Inverse Imaging Problems

Author(s): K Wei, A Aviles-Rivero, J Liang, Y Fu, H Huang, CB Schönlieb
Published in: Journal of Machine Learning Research, Issue 23.16, 2022, Page(s) 1-48, ISSN 1533-7928
Publisher: Journal of Machine Learning Research

Approximation of multiphase mean curvature flows with arbitrary nonnegative mobilities

Author(s): Bonnetier, Eric; Bretin, Elie; Masnou, Simon
Published in: Mathematical Methods in the Applied Sciences, Issue 46.9, 2023, Page(s) 11262--11282, ISSN 0170-4214
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/mma.9180

Using migrating cells as probes to illuminate features in live embryonic tissues

Author(s): Sargon Gross-Thebing, Lukasz Truszkowski, Daniel Tenbrinck, Héctor Sánchez-Iranzo, Carolina Camelo, Kim J. Westerich, Amrita Singh, Paul Maier, Jonas Prengel, Pia Lange, Jan Hüwel, Fjedor Gaede, Ramona Sasse, Bart E. Vos, Timo Betz, Maja Matis, Robert Prevedel, Stefan Luschnig, Alba Diz-Muñoz, Martin Burger, Erez Raz
Published in: Science Advances, Issue 6/49, 2020, Page(s) eabc5546, ISSN 2375-2548
Publisher: American Association for the Advancement of Science
DOI: 10.1126/sciadv.abc5546

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

Author(s): Bungert, Leon; Hait-Fraenkel, Ester; Papadakis, Nicolas; Gilboa, Guy
Published in: SIAM Journal on Imaging Sciences, Issue 14.3, 2021, Page(s) 1114--1148, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1384154

Polarized consensus-based dynamics for optimization and sampling

Author(s): Leon Bungert, Tim Roith, Philipp Wacker
Published in: Mathematical Programming, 2024, ISSN 0025-5610
Publisher: Springer Verlag
DOI: 10.1007/s10107-024-02095-y

Image Reconstruction in Light-Sheet Microscopy: Spatially Varying Deconvolution and Mixed Noise

Author(s): Toader, Bogdan; Boulanger, J{\'{e}}r{\^{o}}me; Korolev, Yury; Lenz, Martin O.; Manton, James; Schönlieb, Carola-Bibiane; Mure{\c{s}}an, Leila
Published in: Journal of Mathematical Imaging and Vision, Issue 64.9, 2022, Page(s) 968-992, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-022-01100-3

Variational Osmosis for Non-Linear Image Fusion

Author(s): Simone Parisotto, Luca Calatroni, Aurelie Bugeau, Nicolas Papadakis, Carola-Bibiane Schonlieb
Published in: IEEE Transactions on Image Processing, Issue 29, 2020, Page(s) 5507-5516, ISSN 1057-7149
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tip.2020.2983537

Block-Based Refitting in $$\ell _{12}$$ Sparse Regularization

Author(s): Charles-Alban Deledalle, Nicolas Papadakis, Joseph Salmon, Samuel Vaiter
Published in: Journal of Mathematical Imaging and Vision, Issue 63/2, 2021, Page(s) 216-236, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-020-00993-2

Fast approximation of orthogonal matrices and application to PCA

Author(s): Cristian Rusu, Lorenzo Rosasco
Published in: Signal Processing, Issue 194, 2023, Page(s) 108451, ISSN 0165-1684
Publisher: Elsevier BV
DOI: 10.1016/j.sigpro.2021.108451

Structure preserving deep learning

Author(s): Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Robert I McLachlan, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Published in: European Journal of Applied Mathematics, Issue 32.5, 2021, Page(s) 888--936, ISSN 0956-7925
Publisher: Cambridge University Press
DOI: 10.1017/s0956792521000139

The Linearized Hellinger--Kantorovich Distance

Author(s): Tianji Cai; Junyi Cheng; Bernhard Schmitzer; Matthew Thorpe
Published in: SIAM Journal on Imaging Sciences, Issue 15, 2022, Page(s) 45-83, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1400080

Learning Optical Flow for Fast MRI Reconstruction

Author(s): T Schmoderer, AI Aviles-Rivero, V Corona, N Debroux, CB Schönlieb
Published in: Inverse Problems, Issue 37.9, 2021, Page(s) 95007, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ac164a

Scanning electron diffraction tomography of strain

Author(s): Robert Tovey, Duncan N Johnstone, Sean M Collins, William R B Lionheart, Paul A Midgley, Martin Benning, Carola-Bibiane Schönlieb
Published in: Inverse Problems, Issue 37/1, 2021, Page(s) 015003, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/abc961

A multiphase Cahn--Hilliard system with mobilities and the numerical simulation of dewetting

Author(s): Bretin, Elie; Denis, Roland; Masnou, Simon; Sengers, Arnaud; Terii, Garry
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 57.3, 2023, Page(s) 1473--1509, ISSN 0764-583X
Publisher: EDP Sciences
DOI: 10.1051/m2an/2023023

Equivariant neural networks for inverse problems

Author(s): Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia
Published in: Inverse Problems, Issue 37.8, 2021, Page(s) 85006, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ac104f

Spectral decomposition of atomic structures in heterogeneous cryo-EM

Author(s): Esteve-Yagüe, Carlos; Diepeveen, Willem; Öktem, Ozan; Schönlieb, Carola-Bibiane
Published in: Inverse Problems, Issue 39.3, 2023, Page(s) 34003, ISSN 1361-6420
Publisher: IOP Publishing
DOI: 10.1088/1361-6420/acb2ba

Common Pitfalls and Recommendations for Using Machine Learning to Detect and Prognosticate for COVID-19 Using Chest Radiographs and CT Scans

Author(s): Michael Roberts, Derek Driggs, Matthew Thorpe, Julian Gilbey, Michael Yeung, Stephan Ursprung, Angelica I. Avilés-Rivero, Christian Etmann, Cathal McCague, Lucian Beer, Jonathan R. Weir-McCall, Zhongzhao Teng, James H. F. Rudd, Evis Sala, Carola-Bibiane Schönlieb
Published in: Nature Machine Intelligence, Issue 3.3, 2021, Page(s) 199--217, ISSN 2522-5839
Publisher: Nature Research
DOI: 10.1038/s42256-021-00307-0

ADHERENT: Learning Human-like Trajectory Generators for Whole-body Control of Humanoid Robots

Author(s): Viceconte, Paolo Maria; Camoriano, Raffaello; Romualdi, Giulio; Ferigo, Diego; Dafarra, Stefano; Traversaro, Silvio; Oriolo, Giuseppe; Rosasco, Lorenzo; Pucci, Daniele
Published in: IEEE Robotics and Automation Letters, Issue 7.2, 2022, Page(s) 2779--2786, ISSN 2377-3766
Publisher: IEEE
DOI: 10.1109/lra.2022.3141658

Error estimates for finite differences approximations of the total variation

Author(s): Corentin Caillaud, Antonin Chambolle
Published in: IMA Journal of Numerical Analysis, Issue 43, 2023, Page(s) 692-736, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/drac001

Kinetic Equations for Processes on Co-evolving Networks

Author(s): Martin Burger
Published in: Kinetic and Related Models, Issue 15.2, 2022, Page(s) 187, ISSN 1937-5093
Publisher: American Institute of Mathematical Sciences
DOI: 10.48550/arxiv.2104.13815

Conditioned Source Separation for Musical Instrument Performances

Author(s): Slizovskaia, Olga; Haro, Gloria; Gomez, Emilia
Published in: IEEE/ACM Transactions on Audio, Speech, and Language Processing, Issue 29, 2021, Page(s) 2083--2095, ISSN 2329-9290
Publisher: IEEE Advancing Technology for Humanity
DOI: 10.1109/taslp.2021.3082331

Dynamic spectral residual superpixels

Author(s): Jianchao Zhang, Angelica I. Aviles-Rivero, Daniel Heydecker, Xiaosheng Zhuang, Raymond Chan, Carola-Bibiane Schönlieb
Published in: Pattern Recognition, Issue 112, 2021, Page(s) 107705, ISSN 0031-3203
Publisher: Pergamon Press
DOI: 10.1016/j.patcog.2020.107705

Exploiting prior knowledge about biological macromolecules in cryo-EM structure determination

Author(s): Dari Kimanius, Gustav Zickert, Takanori Nakane, Jonas Adler, Sebastian Lunz, Carola-Bibiane Schönlieb, Ozan Öktem, Sjors H. W. Scheres
Published in: IUCrJ, Issue 8/1, 2021, Page(s) 60-75, ISSN 2052-2525
Publisher: International Union of Crystallography (IUCr)
DOI: 10.1107/s2052252520014384

Implicit regularization with strongly convex bias: Stability and acceleration

Author(s): Villa, Silvia; Matet, Simon; Vu, Bang Cong; Rosasco, Lorenzo
Published in: Analysis and Applications, Issue 21.1, 2022, Page(s) 165-191, ISSN 0219-5305
Publisher: World Scientific
DOI: 10.1142/s0219530522400139

Eigenvalue Problems in L∞: Optimality Conditions, Duality, and Relations with Optimal Transport

Author(s): Leon Bungert, Yury Korolev
Published in: Communications of the American Mathematical Society, Issue 2.8, 2022, Page(s) 345--373, ISSN 2692-3688
Publisher: American Mathematical Society
DOI: 10.1090/cams/11

Decay estimates for solutions of evolutionary damped p-laplace equations

Author(s): Bozorgnia, F.; Peter Lewintan
Published in: Electronic Journal of Differential Equations, Vol 2021, Iss 73,, Pp 1-9 (2021), Issue 2021.73, 2021, Page(s) 1-9, ISSN 1072-6691
Publisher: Texas State University - San Marcos
DOI: 10.58997/ejde.2021.73

Discrete p-bilaplacian Operators on Graphs

Author(s): Imad El Bouchairi, Abderrahim El Moataz, Jalal Fadili
Published in: Lecture Notes in Computer Science, Image and Signal Processing, 2024, Page(s) 339-347
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-51935-3_36

Learning to Segment Microscopy Images with Lazy Labels

Author(s): Rihuan Ke, Aurélie Bugeau, Nicolas Papadakis, Peter Schuetz, Carola-Bibiane Schönlieb
Published in: Computer Vision – ECCV 2020 Workshops - Glasgow, UK, August 23–28, 2020, Proceedings, Part I, Issue 12535, 2020, Page(s) 411-428, ISBN 978-3-030-66414-5
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-66415-2_27

An Analysis of Generative Methods for Multiple-Image Inpainting

Author(s): Ballester, Coloma; Bugeau, Aurélie; Hurault, Samuel; Parisotto, Simone; Vitoria, Patricia
Published in: Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, 2022
Publisher: Springer
DOI: 10.1007/978-3-030-03009-4_119-1

Analysis of Different Losses for Deep Learning Image Colorization

Author(s): Ballester, Coloma; Carrillo, Hernan; Clément, Michaël; Vitoria, Patricia
Published in: Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, 2023, Page(s) 821--846
Publisher: Springer
DOI: 10.1007/978-3-030-98661-2_127

Iterative Methods for Computing Eigenvectors of Nonlinear Operators

Author(s): Gilboa, Guy
Published in: Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, 2021, Page(s) 1-28, ISBN 978-3-030-03009-4
Publisher: Springer
DOI: 10.1007/978-3-030-03009-4_89-1

VoViT: Low Latency Graph-based Audio-Visual Voice Separation Transformer

Author(s): Montesinos, Juan F.; Kadandale, Venkatesh S.; Haro, Gloria
Published in: Lecture Notes in Computer Science, 2022
Publisher: Springer International Publishing
DOI: 10.1007/978-3-031-19836-6_18

Computing Nonlinear Eigenfunctions via Gradient Flow Extinction

Author(s): Leon Bungert, Martin Burger, Daniel Tenbrinck
Published in: Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Hofgeismar, Germany, June 30 – July 4, 2019, Proceedings, Issue 11603, 2019, Page(s) 291-302, ISBN 978-3-030-22367-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-22368-7_23

A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions

Author(s): Martin Burger, Yury Korolev, Carola-Bibiane Schönlieb, Christiane Stollenwerk
Published in: Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Hofgeismar, Germany, June 30 – July 4, 2019, Proceedings, Issue 11603, 2019, Page(s) 485-497, ISBN 978-3-030-22367-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-22368-7_38

GraphX $$^\mathbf{\small NET } -$$ N E T - Chest X-Ray Classification Under Extreme Minimal Supervision

Author(s): Angelica I. Aviles-Rivero, Nicolas Papadakis, Ruoteng Li, Philip Sellars, Qingnan Fan, Robby T. Tan, Carola-Bibiane Schönlieb
Published in: Medical Image Computing and Computer Assisted Intervention – MICCAI 2019 - 22nd International Conference, Shenzhen, China, October 13–17, 2019, Proceedings, Part VI, Issue 11769, 2019, Page(s) 504-512, ISBN 978-3-030-32225-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-32226-7_56

Total Directional Variation for Video Denoising

Author(s): Simone Parisotto, Carola-Bibiane Schönlieb
Published in: Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Hofgeismar, Germany, June 30 – July 4, 2019, Proceedings, Issue 11603, 2019, Page(s) 522-534, ISBN 978-3-030-22367-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-22368-7_41

Refitting Solutions Promoted by $$\ell _{12}$$ Sparse Analysis Regularizations with Block Penalties

Author(s): Charles-Alban Deledalle, Nicolas Papadakis, Joseph Salmon, Samuel Vaiter
Published in: Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Hofgeismar, Germany, June 30 – July 4, 2019, Proceedings, Issue 11603, 2019, Page(s) 131-143, ISBN 978-3-030-22367-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-22368-7_11

Semantic Image Completion Through an Adversarial Strategy

Author(s): Patricia Vitoria, Joan Sintes, Coloma Ballester
Published in: Computer Vision, Imaging and Computer Graphics Theory and Applications - 14th International Joint Conference, VISIGRAPP 2019, Prague, Czech Republic, February 25–27, 2019, Revised Selected Papers, Issue 1182, 2020, Page(s) 520-542, ISBN 978-3-030-41589-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-41590-7_22

Genuine Personality Recognition from Highly Constrained Face Images

Author(s): Fabio Anselmi, Nicoletta Noceti, Lorenzo Rosasco, Robert Ward
Published in: Image Analysis and Processing – ICIAP 2019 - 20th International Conference, Trento, Italy, September 9–13, 2019, Proceedings, Part I, Issue 11751, 2019, Page(s) 421-431, ISBN 978-3-030-30641-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-30642-7_38

Joint phase reconstruction and magnitude segmentation from velocity-encoded MRI data

Author(s): Veronica Corona, Martin Benning, Lynn F. Gladden, Andi Reci, Andrew J. Sederman, Carola-Bibiane Schoenlieb
Published in: Time-dependent Problems in Imaging and Parameter Identification, 2021, ISBN 978-3-030-57783-4
Publisher: Springer
DOI: 10.1007/978-3-030-57784-1_1

Stable Explicit p-Laplacian Flows Based on Nonlinear Eigenvalue Analysis

Author(s): Ido Cohen, Adi Falik, Guy Gilboa
Published in: Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Hofgeismar, Germany, June 30 – July 4, 2019, Proceedings, Issue 11603, 2019, Page(s) 315-327, ISBN 978-3-030-22367-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-22368-7_25

Influence of Color Spaces for Deep Learning Image Colorization

Author(s): Bugeau, Aurélie; Giraud, Rémi; Raad, Lara
Published in: Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, 2023, Page(s) 847--878
Publisher: Springer
DOI: 10.1007/978-3-030-98661-2_125

Active Crowds

Author(s): Bruna, M.; Burger, M.; Pietschmann, J. F.; Wolfram, M. T.
Published in: Active Particles, Volume 3. Modeling and Simulation in Science, Engineering and Technology, 2022, Page(s) 35--73, ISBN 978-3-030-93301-2
Publisher: Birkhäuser
DOI: 10.1007/978-3-030-93302-9_2

Rates of Convergence for Regression with the Graph Poly-Laplacian

Author(s): Nicolás García Trillos, Ryan Murray, Matthew Thorpe
Published in: arxiv, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2209.02305

A non-convex variational model for joint polyenergetic CT reconstruction, sensor denoising and material decomposition

Author(s): Papanikos, Georgios; Wirth, Benedikt
Published in: arxiv, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2206.02908

Learning normal form autoencoders for data-driven discovery of universal,parameter-dependent governing equations

Author(s): Kalia, Manu; Brunton, Steven L.; Meijer, Hil G. E.; Brune, Christoph; Kutz, J. Nathan
Published in: arXiv, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2106.05102

Covariance-modulated optimal transport and gradient flows

Author(s): Burger, Martin; Erbar, Matthias; Hoffmann, Franca; Matthes, Daniel; Schlichting, André
Published in: arxiv, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2302.07773

A Grasp Pose is All You Need: Learning Multi-fingered Grasping with Deep Reinforcement Learning from Vision and Touch

Author(s): Ceola, Federico; Maiettini, Elisa; Rosasco, Lorenzo; Natale, Lorenzo
Published in: arxiv, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2306.03484

Parameter-Free FISTA by Adaptive Restart and Backtracking

Author(s): Aujol, Jean-François; Calatroni, Luca; Dossal, Charles; Labarrière, Hippolyte; Rondepierre, Aude
Published in: arxiv, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2307.14323

Unsupervised clustering of Roman pottery profiles from their SSAE representation

Author(s): S Parisotto, A Launaro, N Leone, CB Schönlieb
Published in: arxiv, 2020
Publisher: arxiv

Regularized Compression of MRI Data: Modular Optimization of Joint Reconstruction and Coding

Author(s): Corona, Veronica; Dar, Yehuda; Williams, Guy; Schönlieb, Carola-Bibiane
Published in: arXiv, Issue 1, 2020
Publisher: arXiv
DOI: 10.48550/arxiv.2010.04065

A Linear Transportation Lp Distance for Pattern Recognition

Author(s): Crook, Oliver M.; Cucuringu, Mihai; Hurst, Tim; Schönlieb, Carola-Bibiane; Thorpe, Matthew; Zygalakis, Konstantinos C.
Published in: arXiv, 2020
Publisher: arXiv
DOI: 10.48550/arxiv.2009.11262

Learning Football Body-Orientation as a Matter of Classification

Author(s): Arbués-Sangüesa, Adrià; Martín, Adrián; Granero, Paulino; Ballester, Coloma; Haro, Gloria
Published in: arxiv, 2021
Publisher: arxiv
DOI: 10.48550/arxiv.2106.00359

Generalised Gillespie Algorithms for Simulations in a Rule-Based Epidemiological Model Framework

Author(s): Alonso, David; Bauer, Steffen; Kirkilionis, Markus; Kreusser, Lisa Maria; Sbano, Luca
Published in: arXiv, Issue 1, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2210.09511

Graph Based Semi-supervised Learning Using Spatial Segregation Theory

Author(s): Bozorgnia, Farid; Fotouhi, Morteza; Arakelyan, Avetik; Elmoataz, Abderrahim
Published in: arxiv, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2211.16030

The Infinity Laplacian eigenvalue problem: reformulation and a numerical scheme

Author(s): Bozorgnia, Farid; Bungert, Leon; Tenbrinck, Daniel
Published in: arxiv, 2020
Publisher: arxiv
DOI: 10.48550/arxiv.2004.08127

Uniqueness of a solution to a general class of discrete system defined on connected graphs

Author(s): Arakelyan, Avetik; Bozorgnia, Farid
Published in: arxiv, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2207.11957

Learned convex regularizers for inverse problems

Author(s): Mukherjee, Subhadip; Dittmer, Sören; Shumaylov, Zakhar; Lunz, Sebastian; Öktem, Ozan; Schönlieb, Carola-Bibiane
Published in: arXiv, Issue 2, 2020
Publisher: arXiv
DOI: 10.48550/arxiv.2008.02839

Γ-Convergence of an Ambrosio-Tortorelli approximation scheme for image segmentation

Author(s): Fonseca, Irene; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane; Thorpe, Matthew
Published in: arxiv, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2202.04965

Consistency of Fractional Graph-Laplacian Regularization in Semi-Supervised Learning with Finite Labels

Author(s): Weihs, Adrien; Thorpe, Matthew
Published in: arxiv, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2303.07818

On anisotropic diffusion equations for label propagation

Author(s): Lisa Maria Kreusser, Marie-Therese Wolfram
Published in: arxiv, 2020
Publisher: arxiv
DOI: 10.48550/arxiv.2007.12516

Contrastive Registration for Unsupervised Medical Image Segmentation

Author(s): L Liu, AI Aviles-Rivero, CB Schönlieb
Published in: arxiv, 2020
Publisher: arxiv
DOI: 10.48550/arxiv.2011.08894

Duality for Neural Networks through Reproducing Kernel Banach Spaces

Author(s): Spek, Len; Heeringa, Tjeerd Jan; Schwenninger, Felix; Brune, Christoph
Published in: arXiv, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2211.05020

A sparse optimization approach to infinite infimal convolution regularization

Author(s): Bredies, Kristian; Carioni, Marcello; Holler, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane
Published in: arxiv, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2304.08628

Minimizing Quotient Regularization Model

Author(s): Wang, Chao; Aujol, Jean-Francois; Gilboa, Guy; Lou, Yifei
Published in: arxiv, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2308.04095

Proximal Langevin Sampling with Inexact Proximal Mapping

Author(s): Matthias J. Ehrhardt, Lorenz Kuger, Carola-Bibiane Schönlieb
Published in: arxiv, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2306.17737

Single Image Non-uniform Blur Kernel Estimation via Adaptive Basis Decomposition

Author(s): Guillermo Carbajal, Patricia Vitoria, Mauricio Delbracio, Pablo Musé, José Lezama
Published in: arxiv, 2020
Publisher: arxiv
DOI: 10.48550/arxiv.2102.01026

FISTA restart using an automatic estimation of the growth parameter

Author(s): Aujol, Jean-François; Dossal, Charles H.; Labarrière, Hippolyte; Rondepierre, Aude
Published in: hal-archive, 2022
Publisher: hal-archive

Approximation of Wasserstein distance with Transshipment

Author(s): Papadakis, Nicolas
Published in: arxiv, 2019
Publisher: arxiv
DOI: 10.48550/arxiv.1901.09400

PDE-Inspired Algorithms for Semi-Supervised Learning on Point Clouds

Author(s): Oliver M. Crook, Tim Hurst, Carola-Bibiane Schönlieb, Matthew Thorpe, Konstantinos C. Zygalakis
Published in: arxiv, 2019
Publisher: arxiv
DOI: 10.48550/arxiv.1909.10221

Total Variation Regularisation with Spatially Variable Lipschitz Constraints

Author(s): Martin Burger, Yury Korolev, Simone Parisotto, Carola-Bibiane Schönlieb
Published in: arxiv, 2019
Publisher: arxiv
DOI: 10.48550/arxiv.1912.02768

Beyond Supervised Classification: Extreme Minimal Supervision with the Graph 1-Laplacian

Author(s): Angelica I. Aviles-Rivero, Nicolas Papadakis, Ruoteng Li, Samar M Alsaleh, Robby T Tan, Carola-Bibiane Schönlieb
Published in: arxiv, 2019
Publisher: arxiv
DOI: 10.48550/arxiv.1906.08635

Variational Graph Methods for Efficient Point Cloud Sparsification

Author(s): Tenbrinck, Daniel; Gaede, Fjedor; Burger, Martin
Published in: arxiv, 2019
Publisher: arxiv
DOI: 10.48550/arxiv.1903.02858

Learning optimal orders of the underlying Euclidean norm in total variation image denoising

Author(s): Pan Liu, Carola-Bibiane Schönlieb
Published in: arxiv, 2019
Publisher: arxiv
DOI: 10.48550/arxiv.1903.11953

Fast Image and LiDAR alignment based on 3D rendering in sensor topology

Author(s): Biasutti, Pierre; Aujol, Jean-François; Brédif, Mathieu; Bugeau, Aurélie
Published in: hal-archive, 2019
Publisher: hal-archive

RIU-Net: Embarrassingly simple semantic segmentation of 3D LiDAR point cloud

Author(s): Biasutti, Pierre; Bugeau, Aurélie; Aujol, Jean-François; Brédif, Mathieu
Published in: arxiv, 2019
Publisher: arXiv
DOI: 10.48550/arxiv.1905.08748

Graph gradient flows : from discrete to continuum

Author(s): Yoshikazu Giga, Yves van Gennip, Jun Okamoto
Published in: arxiv, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2211.03384

Total-Variation -- Fast Gradient Flow and Relations to Koopman Theory

Author(s): Cohen, Ido; Berkov, Tom; Gilboa, Guy
Published in: arxiv, 2021
Publisher: arxiv
DOI: 10.48550/arxiv.2105.10044

Classification of datasets with imputed missing values: does imputation quality matter?

Author(s): Shadbahr, Tolou; Roberts, Michael; Stanczuk, Jan; Gilbey, Julian; Teare, Philip; Dittmer, Sören; Thorpe, Matthew; Torne, Ramon Vinas; Sala, Evis; Lio, Pietro; Patel, Mishal; Collaboration, A. I. X.-C. O. V. N. E. T.; Rudd, James H. F.; Mirtti, Tuomas; Rannikko, Antti; Aston, John A. D.; Tang, Jing; Schönlieb, Carola-Bibiane
Published in: arxiv, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2206.08478

Theoretical Foundations for Pseudo-Inversion of Nonlinear Operators

Author(s): Gofer, Eyal; Gilboa, Guy
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2023. Lecture Notes in Computer Science, 2023, Page(s) 29--41
Publisher: Springer
DOI: 10.1007/978-3-031-31975-4_3

Iterative regularization for convex regularizers

Author(s): Molinari, Cesare; Massias, Mathurin; Rosasco, Lorenzo; Villa, Silvia
Published in: Proceedings of Machine Learning Research, Issue 130, 2021, Page(s) 1684--1692
Publisher: PMLR

Kernel methods through the roof: handling billions of points efficiently

Author(s): Meanti, Giacomo; Carratino, Luigi; Rosasco, Lorenzo; Rudi, Alessandro
Published in: Advances in Neural Information Processing Systems, Issue 33, 2020, Page(s) 14410--14422
Publisher: Neurips

Weighted-CEL0 sparse regularisation for molecule localisation in super-resolution microscopy with Poisson data

Author(s): M. Lazzaretti, L. Calatroni, C. Estatico
Published in: IEEE 18th International Symposium on Biomedical Imaging (ISBI), 2021
Publisher: IEEE
DOI: 10.1109/isbi48211.2021.9434014

Mean Nyström Embeddings for Adaptive Compressive Learning

Author(s): Chatalic, Antoine; Carratino, Luigi; De Vito, Ernesto; Rosasco, Lorenzo
Published in: Proceedings of The 25th International Conference on Artificial Intelligence and Statistics, Issue 151, 2022, Page(s) 9869--9889
Publisher: PMLR

Multiclass learning with margin: exponential rates with no bias-variance trade-off

Author(s): Vigogna, Stefano; Meanti, Giacomo; De Vito, Ernesto; Rosasco, Lorenzo
Published in: Proceedings of the 39th International Conference on Machine Learning, Issue 162, 2022, Page(s) 22260--22269
Publisher: PMLR

CLIP: Cheap Lipschitz Training of Neural Networks

Author(s): Bungert, L., Raab, R., Roith, T., Schwinn, L., Tenbrinck, D.
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2021. Lecture Notes in Computer Science, Issue 12679, 2021, ISBN 978-3-030-75549-2
Publisher: Springer
DOI: 10.1007/978-3-030-75549-2_25

Sliced Optimal Partial Transport

Author(s): Bai, Yikun; Schmitzer, Bernhard; Thorpe, Matthew; Kolouri, Soheil
Published in: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2023, Page(s) 13681-13690
Publisher: IEEE Computer Society
DOI: 10.1109/cvpr52729.2023.01315

A Graph-Based Method for Soccer Action Spotting Using Unsupervised Player Classification

Author(s): Cartas, Alejandro; Ballester, Coloma; Haro, Gloria
Published in: Proceedings of the 5th International ACM Workshop on Multimedia Content Analysis in Sports, 2022
Publisher: ACM
DOI: 10.1145/3552437.3555691

ParK: Sound and Efficient Kernel Ridge Regression by Feature Space Partitions

Author(s): Carratino, Luigi; Vigogna, Stefano; Calandriello, Daniele; Rosasco, Lorenzo
Published in: Advances in Neural Information Processing Systems, Issue 34, 2021, Page(s) 6430--6441
Publisher: neurips

Efficient Hyperparameter Tuning for Large Scale Kernel Ridge Regression

Author(s): Meanti, Giacomo; Carratino, Luigi; De Vito, Ernesto; Rosasco, Lorenzo
Published in: Proceedings of The 25th International Conference on Artificial Intelligence and Statistics, Issue 151, 2022, Page(s) 6554--6572
Publisher: PMLR

Regularization Properties of Dual Subgradient Flow

Author(s): Apidopoulos, Vassilis; Molinari, Cesare; Rosasco, Lorenzo; Villa, Silvia
Published in: 2023 European Control Conference ({ECC}), 2023
Publisher: IEEE
DOI: 10.23919/ecc57647.2023.10178128

History-Based Anomaly Detector: An Adversarial Approach to Anomaly Detection

Author(s): Pierrick Chatillon, Coloma Ballester
Published in: Intelligent Systems and Applications - Proceedings of the 2020 Intelligent Systems Conference (IntelliSys) Volume 1, Issue 1250, 2021, Page(s) 761-776, ISBN 978-3-030-55179-7
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-55180-3_58

Structure preserving neural networks based on ODEs

Author(s): Murari, Davide; Celledoni, Elena; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia
Published in: NeurIPS 2022 Workshop The Symbiosis of Deep Learning and Differential Equations II, 2022
Publisher: OpenReview

Solos: A Dataset for Audio-Visual Music Analysis

Author(s): Juan F. Montesinos, Olga Slizovskaia, Gloria Haro
Published in: 2020 IEEE 22nd International Workshop on Multimedia Signal Processing (MMSP), Issue 22, 2020, Page(s) 1-6, ISBN 978-1-7281-9320-5
Publisher: IEEE
DOI: 10.1109/mmsp48831.2020.9287124

Vocoder-Based Speech Synthesis from Silent Videos

Author(s): Daniel Michelsanti, Olga Slizovskaia, Gloria Haro, Emilia Gómez, Zheng-Hua Tan, Jesper Jensen
Published in: Interspeech 2020, 2020, Page(s) 3530-3534
Publisher: ISCA
DOI: 10.21437/interspeech.2020-1026

Multi-modal Hypergraph Diffusion Network with Dual Prior for Alzheimer Classification

Author(s): Aviles-Rivero, Angelica I.; Runkel, Christina; Papadakis, Nicolas; Kourtzi, Zoe; Schönlieb, Carola-Bibiane
Published in: Medical Image Computing and Computer Assisted Intervention – MICCAI 2022. Lecture Notes in Computer Science, 2022, Page(s) 717--727
Publisher: Springer
DOI: 10.1007/978-3-031-16437-8_69

Fluctuation-Based Deconvolution in~Fluorescence Microscopy Using Plug-and-Play Denoisers

Author(s): Stergiopoulou, Vasiliki; Mukherjee, Subhadip; Calatroni, Luca; Blanc-Féraud, Laure
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2023. Lecture Notes in Computer Science, 2023, Page(s) 498--510
Publisher: Springer
DOI: 10.1007/978-3-031-31975-4_38

iUNets: Learnable Invertible Up- and Downsampling for Large-Scale Inverse Problems

Author(s): Christian Etmann, Rihuan Ke, Carola-Bibiane Schonlieb
Published in: 2020 IEEE 30th International Workshop on Machine Learning for Signal Processing (MLSP), 2020, Page(s) 1-6, ISBN 978-1-7281-6662-9
Publisher: IEEE
DOI: 10.1109/mlsp49062.2020.9231874

Resolution-Invariant Image Classification Based on Fourier Neural Operators

Author(s): Kabri, Samira; Roith, Tim; Tenbrinck, Daniel; Burger, Martin
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2023. Lecture Notes in Computer Science, 2023, Page(s) 236--249
Publisher: Springer
DOI: 10.1007/978-3-031-31975-4_18

COL0RME: COvariance-based $ell_0$ super-Resolution Microscopy with intensity Estimation

Author(s): V. Stergiopoulou, H. Goulart, S. Schaub, L. Calatroni and L. Blanc-Féraud
Published in: 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI), 2021
Publisher: IEEE
DOI: 10.1109/isbi48211.2021.9433976

Graph Laplacian for Semi-supervised Learning

Author(s): Streicher, Or; Gilboa, Guy
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2023. Lecture Notes in Computer Science, 2023, Page(s) 29--41
Publisher: Springer
DOI: 10.1007/978-3-031-31975-4_19

Self-Supervised Small Soccer Player Detection and Tracking

Author(s): Samuel Hurault, Coloma Ballester, Gloria Haro
Published in: Proceedings of the 3rd International Workshop on Multimedia Content Analysis in Sports, Issue 3, 2020, Page(s) 9-18, ISBN 9781450381499
Publisher: ACM
DOI: 10.1145/3422844.3423054

Residual Whiteness Principle for Automatic Parameter Selection in l2-l2 Image Super-Resolution Problems

Author(s): Pragliola, Monica; Calatroni, Luca; Lanza, Alessandro; Sgallari, Fiorella
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2021. Lecture Notes in Computer Science, 2021, Page(s) 476--488
Publisher: Springer
DOI: 10.1007/978-3-030-75549-2_38

Efficient Graph-Based Active Learning with Probit Likelihood via Gaussian Approximations

Author(s): Kevin Miller, Hao Li, and Andrea L. Bertozzi
Published in: Workshop on Real World Experiment Design and Active Learning, at the International Conference on Machine Learning (ICML), Issue 2, 2020
Publisher: ICML
DOI: 10.48550/arxiv.2007.11126

Variational models on graphs and related flows for data analysis and image processing

Author(s): Y. van Gennip
Published in: 2020 Calculus of Variations - Online, Germany, Issue 22, 2020, Page(s) 42-46
Publisher: Mathematisches Forschungsinstitut Oberwolfach
DOI: 10.14760/owr-2020-22

Using Player's Body-Orientation to Model Pass Feasibility in Soccer

Author(s): A. Arbues-Sanguesa, A. Martin, J. Fernandez, C. Ballester, G. Haro
Published in: 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 2020, Page(s) 3875-3884, ISBN 978-1-7281-9360-1
Publisher: IEEE
DOI: 10.1109/cvprw50498.2020.00451

SCOTCH and SODA: A Transformer Video Shadow Detection Framework

Author(s): Liu, Lihao; Prost, Jean; Zhu, Lei; Papadakis, Nicolas; Li{\`{o}}, Pietro; Schönlieb, Carola-Bibiane; Aviles-Rivero, Angelica I.
Published in: 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2023
Publisher: IEEE
DOI: 10.1109/cvpr52729.2023.01007

Hypergraph p-Laplacians, Scale Spaces, and Information Flow in Networks

Author(s): Fazeny, Ariane; Tenbrinck, Daniel; Burger, Martin
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2023. Lecture Notes in Computer Science, 2023, Page(s) 677--690
Publisher: Springer
DOI: 10.1007/978-3-031-31975-4_52

A cappella: Audio-visual Singing Voice Separation

Author(s): Montesinos, Juan F.; Kadandale, Venkatesh S.; Haro, Gloria
Published in: 32nd British Machine Vision Conference 2021, BMVC 2021, Online, November 22-25, 2021, 2021, Page(s) 288
Publisher: BMVA Press

Visibility Estimation in Point Clouds with Variable Density

Author(s): P. Biasutti, A. Bugeau, J-F. Aujol, M. Brédif
Published in: Proceedings of the 14th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, 2019, Page(s) 27-35, ISBN 978-989-758-354-4
Publisher: SCITEPRESS - Science and Technology Publications
DOI: 10.5220/0007308600270035

Semantic Image Inpainting through Improved Wasserstein Generative Adversarial Networks

Author(s): Patricia Vitoria, Joan Sintes, Coloma Ballester
Published in: Proceedings of the 14th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, 2019, Page(s) 249-260, ISBN 978-989-758-354-4
Publisher: SCITEPRESS - Science and Technology Publications
DOI: 10.5220/0007367902490260

Motion Inpainting by an Image-Based Geodesic AMLE Method

Author(s): M. Oliver, L. Raad, C. Ballester, G. Haro
Published in: 2018 25th IEEE International Conference on Image Processing (ICIP), 2018, Page(s) 2267-2271, ISBN 978-1-4799-7061-2
Publisher: IEEE
DOI: 10.1109/icip.2018.8451851

Sparse Multiple Kernel Learning: Support Identification via Mirror Stratifiability

Author(s): Guillaume Garrigos, Lorenzo Rosasco, Silvia Villa
Published in: 2018 26th European Signal Processing Conference (EUSIPCO), 2018, Page(s) 1077-1081, ISBN 978-9-0827-9701-5
Publisher: IEEE
DOI: 10.23919/EUSIPCO.2018.8553267

LU-Net: An Efficient Network for 3D LiDAR Point Cloud Semantic Segmentation Based on End-to-End-Learned 3D Features and U-Net

Author(s): Pierre Biasutti, Vincent Lepetit, Jean-Francois Aujol, Mathieu Bredif, Aurelie Bugeau
Published in: 2019 IEEE/CVF International Conference on Computer Vision Workshop (ICCVW), 2019, Page(s) 942-950, ISBN 978-1-7281-5023-9
Publisher: IEEE
DOI: 10.1109/iccvw.2019.00123

Multi-Person Tracking By Multi-Scale Detection in Basketball Scenarios

Author(s): Arbués-Sangüesa, Adrià; Haro, Gloria; Ballester, Coloma
Published in: IMVIP 2019: Irish Machine Vision & Image Processing, 2019
Publisher: Technological University Dublin
DOI: 10.21427/63bf-4y98

ChromaGAN: Adversarial Picture Colorization with Semantic Class Distribution

Author(s): Patricia Vitoria, Lara Raad, Coloma Ballester
Published in: 2020 IEEE Winter Conference on Applications of Computer Vision (WACV), 2020
Publisher: IEEE

Implicit Regularization of Accelerated Methods in Hilbert Spaces

Author(s): Nicolò Pagliana, Lorenzo Rosasco
Published in: NIPS'19: Proceedings of the 33rd International Conference on Neural Information Processing Systems, Issue 1297, 2019, Page(s) 14481-14491
Publisher: neurips

Gaussian Process Optimization with Adaptive Sketching: Scalable and No Regret

Author(s): Calandriello, Daniele; Carratino, Luigi; Lazaric, Alessandro; Valko, Michal; Rosasco, Lorenzo
Published in: Conference on Learning Theory, Issue 99, 2019, ISSN 2640-3498
Publisher: Proceedings of Machine Learning

Beating SGD Saturation with Tail-Averaging and Minibatching

Author(s): Nicole Muecke, Gergely Neu, Lorenzo Rosasco
Published in: Advances in Neural Information Processing Systems, Issue 32, 2019
Publisher: Neural Information Processing Systems Foundation, Inc.

On the Bias-Variance Tradeoff in Stochastic Gradient Methods

Author(s): Driggs, Derek, Liang, Jingwei, Schönlieb, Carola-Bibiane
Published in: Advances in Neural Information Processing Systems 34 (NeurIPS 2021), Issue 34, 2021, Page(s) 22119--22131
Publisher: neurips

On the Connection Between Adversarial Robustness and Saliency Map Interpretability

Author(s): Etmann, Christian; Lunz, Sebastian; Maass, Peter; Schönlieb, Carola-Bibiane
Published in: Proceedings of the 36th International Conference on Machine Learning, Issue 97, 2019, Page(s) 1823-1832
Publisher: Proceedings of Machine Learning Research

Adversarial regularizers in inverse problems

Author(s): Sebastian Lunz, Ozan Öktem, Carola-Bibiane Schönlieb
Published in: Advances in Neural Information Processing Systems 31 (NIPS 2018), Issue 31, 2018
Publisher: Neural Information Processing Systems Foundation, Inc.

Dirichlet-based Gaussian Processes for Large-scale Calibrated Classification

Author(s): Milios, Dimitrios; Camoriano, Raffaello; Michiardi, Pietro; Rosasco, Lorenzo; Filippone, Maurizio
Published in: Advances in Neural Information Processing Systems, Issue 31, 2018, Page(s) 6005--6015
Publisher: Curran Associates, Inc.

On Fast Leverage Score Sampling and Optimal Learning

Author(s): Rudi, A; Calandriello, D; Carratino, L; Rosasco, L
Published in: Advances in Neural Information Processing Systems, Issue 31, 2018
Publisher: Curran Associates, Inc.

Détection et localisation d'objets 3D par apprentissage profond en topologie capteur

Author(s): Biasutti, Pierre; Bugeau, Aurélie; Aujol, Jean-François; Brédif, Mathieu
Published in: GRETSI Groupement de Recherche en Traitement du Signal et de l'Image, Aug 2019, Lille, France, Issue 1, 2019
Publisher: not applicable

Deeply Learned Spectral Total Variation Decomposition

Author(s): Tamara G. Grossmann, Yury Korolev, Guy Gilboa and Carola-Bibiane Schönlieb
Published in: Conference on Neural Information Processing Systems (NeurIPS 2020), Issue 34, 2020
Publisher: NeurIPS

Decentralised Learning with Random Features and Distributed Gradient Descent

Author(s): Richards, Dominic; Rebeschini, Patrick; Rosasco, Lorenzo
Published in: Proceedings of the 37th International Conference on Machine Learning, Issue 37, 2020
Publisher: Proceedings of Machine Learning Research

Total-Variation Mode Decomposition

Author(s): Cohen, Ido; Berkov, Tom; Gilboa, Guy
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2021. Lecture Notes in Computer Science, 2021, Page(s) 52--64
Publisher: Springer
DOI: 10.1007/978-3-030-75549-2_5

Stochastic Gradient Descent for Linear Inverse Problems in Variable Exponent Lebesgue Spaces

Author(s): Lazzaretti, Marta; Kereta, Zeljko; Estatico, Claudio; Calatroni, Luca
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2023. Lecture Notes in Computer Science, 2023, Page(s) 457--470
Publisher: Springer
DOI: 10.1007/978-3-031-31975-4_35

VocaLiST: An Audio-Visual Synchronisation Model for Lips and Voices

Author(s): Kadandale, Venkatesh Shenoy; Montesinos, Juan F.; Haro, Gloria
Published in: Interspeech 2022, 2022
Publisher: ISCA
DOI: 10.21437/interspeech.2022-10861

3D Image Super-Resolution by Fluorophore Fluctuations and MA-TIRF Microscopy Reconstruction 3D-COL0RME

Author(s): Stergiopoulou, Vasiliki; Calatroni, Luca; Schaub, Sebastien; Blanc-Feraud, Laure
Published in: 2022 IEEE 19th International Symposium on Biomedical Imaging (ISBI), 2022, ISBN 978-1-6654-2923-8
Publisher: IEEE
DOI: 10.1109/isbi52829.2022.9761572

Always Look On The Bright Side Of The Field: Merging Pose And Contextual Data To Estimate Orientation Of Soccer Players

Author(s): A. Arbues-Sanguesa, A. Martin, J. Fernandez, C. Rodriguez, G. Haro, C. Ballester
Published in: 2020 IEEE International Conference on Image Processing (ICIP), 2022
Publisher: IEEE
DOI: 10.1109/icip40778.2020.9190639

Non-convex Super-resolution of OCT images via sparse representation

Author(s): G. Scrivanti, L.Calatroni, S. Morigi, L.Nicholson, A.Achim
Published in: accepted for publication in the IEEE-ISBI 2021 conference proceedings, Issue IEEE 18th International Symposium on Biomedical Imaging (ISBI), 2021
Publisher: IEEE
DOI: 10.1109/isbi48211.2021.9434013

Art Speaks Maths, Maths Speaks Art

Author(s): Ninetta Leone, Simone Parisotto, Kasia Targonska-Hadzibabic, Spike Bucklow, Alessandro Launaro, Suzanne Reynolds, Carola-Bibiane Schönlieb
Published in: Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, 2020, Page(s) 481--484
Publisher: Tessellations Publishing

Poisson Learning: Graph Based Semi-Supervised Learning At Very Low Label Rates

Author(s): Calder, Jeff; Cook, Brendan; Thorpe, Matthew; Slepcev, Dejan
Published in: International Conference on Machine Learning, Issue 37, 2020
Publisher: PMLR

GRAND++: Graph Neural Diffusion with A Source Term

Author(s): Thorpe, Matthew; Nguyen, Tan Minh; Xia, Hedi; Strohmer, Thomas; Bertozzi, Andrea; Osher, Stanley; Wang, Bao
Published in: International Conference on Learning Representations, Issue annually, 2022
Publisher: OpenReview

A Scaled and Adaptive FISTA Algorithm for Signal-Dependent Sparse Image Super-Resolution Problems

Author(s): Lazzaretti, Marta; Rebegoldi, Simone; Calatroni, Luca; Estatico, Claudio
Published in: Scale Space and Variational Methods in Computer Vision. SSVM 2021. Lecture Notes in Computer Science, 2021, Page(s) 242--253
Publisher: Springer
DOI: 10.1007/978-3-030-75549-2_20

Hyperbolic Manifold Regression

Author(s): Marconi, Gian Maria; Rosasco, Lorenzo; Ciliberto, Carlo
Published in: Proceedings of Machine Learning Research, Issue 108, 2020, Page(s) 2570-2580
Publisher: PMLR

Near-linear time Gaussian process optimization with adaptive batching and resparsification

Author(s): Calandriello, Daniele; Carratino, Luigi; Lazaric, Alessandro; Valko, Michal; Rosasco, Lorenzo
Published in: International Conference on Machine Learning, Issue 37, 2020
Publisher: Proceedings of Machine Learning Research

Nonlinear Spectral Analysis with Variational Methods

Author(s): Leon Bungert
Published in: 2020
Publisher: tba

Nuclear norms in the context of dynamic MRI:regularization techniques and asymptotic analysis

Author(s): Kinzel, M. (Meike)
Published in: Issue 1, 2021
Publisher: Universität Münster

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