Nonlocal Methods for Arbitrary Data Sources

Deliverables

Websites, patent fillings, videos etc. (3)

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.

Publications

Peer reviewed articles (70)

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, 36/12, 2020, Page(s) 125014, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/abc531

Blind Hyperspectral Unmixing Based on Graph Total Variation Regularization

Author(s): Jing Qin, Harlin Lee, Jocelyn T. Chi, Lucas Drumetz, Jocelyn Chanussot, Yifei Lou, Andrea L. Bertozzi
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.2020.3020810

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, 14/1, 2021, Page(s) 92-127, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1338460

PDEs on graphs for semi-supervised learning applied to first-person activity recognition in body worn video

Author(s): Hao Li, Honglin Chen, Matt Haberland, Andrea L. Bertozzi, and P. Jeffrey Brantingham
Published in: Discrete and Continuous Dynamical Systems, 15535231, 2021, Page(s) 4351-4373, ISSN 1553-5231
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcds.2021039

Higher-Order Total Directional Variation: Imaging Applications

Author(s): Simone Parisotto, Jan Lellmann, Simon Masnou, Carola-Bibiane Schönlieb
Published in: SIAM Journal on Imaging Sciences, 13/4, 2020, Page(s) 2063-2104, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1239209

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, 2/3, 2020, Page(s) 703-738, ISSN 2578-5885
Publisher: Mathematical Science Publishers
DOI: 10.2140/paa.2020.2.703

Uniform convergence rates for Lipschitz learning on graphs

Author(s): Leon Bungert, Jeff Calder, Tim Roith
Published in: IMA Journal of Numerical Analysis, 02724979, 2022, Page(s) 1–51, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/drac048

A hybrid analytical–numerical algorithm for determining the neuronal current via electroencephalography

Author(s): Parham Hashemzadeh, A. S. Fokas, C. B. Schönlieb
Published in: Journal of The Royal Society Interface, 17/163, 2020, Page(s) 20190831, ISSN 1742-5689
Publisher: The Royal Society
DOI: 10.1098/rsif.2019.0831

Learning Consistent Discretizations of the Total Variation

Author(s): Antonin Chambolle, Thomas Pock
Published in: SIAM Journal on Imaging Sciences, 19364954, 2021, Page(s) 778-813, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1377199

On the convergence rate of some nonlocal energies

Author(s): Antonin Chambolle, Matteo Novaga, Valerio Pagliari
Published in: Nonlinear Analysis, 200, 2020, Page(s) 112016, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2020.112016

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, 23.192, 2022, ISSN 1533-7928
Publisher: Journal of Machine Learning Research
DOI: 10.48550/arxiv.2105.04319

Mumford–Shah functionals on graphs and their asymptotics

Author(s): Marco Caroccia, Antonin Chambolle, Dejan Slepčev
Published in: Nonlinearity, 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, 30, 2021, Page(s) 3555-3567, ISSN 1057-7149
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tip.2021.3062726

Robust Image Reconstruction With Misaligned Structural Information

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

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, 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

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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 28, 2019, Page(s) 1-174, ISSN 0962-4929
Publisher: Cambridge University Press
DOI: 10.1017/s0962492919000059

Mirror, Mirror, on the Wall, Who’s Got the Clearest Image of Them All?—A Tailored Approach to Single Image Reflection Removal

Author(s): Daniel Heydecker, Georg Maierhofer, Angelica I. Aviles-Rivero, Qingnan Fan, Dongdong Chen, Carola-Bibiane Schonlieb, Sabine Susstrunk
Published in: IEEE Transactions on Image Processing, 28/12, 2019, Page(s) 6185-6197, ISSN 1057-7149
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tip.2019.2923559

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, 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, 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, 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, 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, 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, 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, 35/11, 2019, Page(s) 114001, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab291a

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

Detection of high codimensional bifurcations in variational PDEs

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

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

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

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, 6/2, 2019, Page(s) 171-198, ISSN 2158-2505
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jcd.2019009

Higher-Order Total Directional Variation: Analysis

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

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, 2/2, 2020, Page(s) 124-133, ISSN 2522-5839
Publisher: Springer Nature Limited
DOI: 10.1038/s42256-020-0153-x

Graph Merriman--Bence--Osher as a SemiDiscrete Implicit Euler Scheme for Graph Allen--Cahn Flow

Author(s): Jeremy Budd, Yves Van Gennip
Published in: SIAM Journal on Mathematical Analysis, 52/5, 2020, Page(s) 4101-4139, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1277394

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, 6/49, 2020, Page(s) eabc5546, ISSN 2375-2548
Publisher: American Association for the Advancement of Science
DOI: 10.1126/sciadv.abc5546

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, 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, 63/2, 2021, Page(s) 216-236, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-020-00993-2

The Linearized Hellinger--Kantorovich Distance

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

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, 37/1, 2021, Page(s) 015003, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/abc961

A Graph-Based Approach for Data Fusion and Segmentation of Multimodal Images

Author(s): Geoffrey Iyer, Jocelyn Chanussot, Andrea L. Bertozzi
Published in: IEEE Transactions on Geoscience and Remote Sensing, 2020, Page(s) 1-11, ISSN 0196-2892
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tgrs.2020.2971395

An MBO Scheme for Minimizing the Graph Ohta–Kawasaki Functional

Author(s): Yves van Gennip
Published in: Journal of Nonlinear Science, 30/5, 2020, Page(s) 2325-2373, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-018-9468-8

Analysis of Artifacts in Shell-Based Image Inpainting: Why They Occur and How to Eliminate Them

Author(s): L. Robert Hocking, Thomas Holding, Carola-Bibiane Schönlieb
Published in: Foundations of Computational Mathematics, 20/6, 2020, Page(s) 1549-1651, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-020-09450-3

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, 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, 8/1, 2021, Page(s) 60-75, ISSN 2052-2525
Publisher: International Union of Crystallography (IUCr)
DOI: 10.1107/s2052252520014384

REINFORCEMENT LEARNING HELPS SLAM: LEARNING TO BUILD MAPS

Author(s): N. Botteghi, B. Sirmacek, R. Schulte, M. Poel, C. Brune
Published in: ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, XLIII-B4-2020, 2020, Page(s) 329-335, ISSN 2194-9034
Publisher: Copernicus Publ.
DOI: 10.5194/isprs-archives-xliii-b4-2020-329-2020

Other (86)

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

Author(s): Jeff Calder, Dejan Slepcev and Matthew Thorpe
Published in: 2020
Publisher: tba

Rates of Convergence for Regression with the Graph Poly-Laplacian

Author(s): Nicolás García Trillos, Ryan Murray, Matthew Thorpe
Published in: 2022
Publisher: tba

Iterative regularization for convex regularizers

Author(s): Molinari, Cesare; Massias, Mathurin; Rosasco, Lorenzo; Villa, Silvia
Published in: 2020
Publisher: tba

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: 2020
Publisher: tba

SPRING: A fast stochastic proximal alternating method for non-smooth non-convex optimization

Author(s): D Driggs, J Tang, M Davies, CB Schönlieb
Published in: 2020
Publisher: tba

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: 2020
Publisher: tba

Kernel methods through the roof: handling billions of points efficiently

Author(s): Meanti, Giacomo; Carratino, Luigi; Rosasco, Lorenzo; Rudi, Alessandro
Published in: 2020
Publisher: tba

iUNets: Fully invertible U-Nets with Learnable Up-and Downsampling

Author(s): C Etmann, R Ke, CB Schönlieb
Published in: 2020
Publisher: tba

Continuum Limit of Lipschitz Learning on Graphs

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

Unsupervised clustering of Roman pottery profiles from their SSAE representation

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

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

Author(s): Aujol, Jean-François; Dossal, Charles,; Rondepierre, Aude
Published in: 2020
Publisher: tba

Learned convex regularizers for inverse problems

Author(s): S Mukherjee, S Dittmer, Z Shumaylov, S Lunz, O Öktem, CB Schönlieb
Published in: 2020
Publisher: tba

Approximation of surface diffusion flow: a second order variational Cahn--Hilliard model with degenerate mobilities

Author(s): Elie Bretin, Simon Masnou, Arnaud Sengers, Garry Terii
Published in: 2020
Publisher: tba

Deep limits of residual neural networks

Author(s): M. Thorpe, Y. van Gennip
Published in: 2020
Publisher: tba

The Linearized Hellinger—Kantorovich Distance

Author(s): Tianji Cai, Junyi Cheng, Bernhard Schmitzer and Matthew Thorpe
Published in: 2021
Publisher: tba

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: 2020
Publisher: tba

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: 2020
Publisher: tba

Error estimates for finite differences approximations of the total variation

Author(s): Corentin Caillaud, Antonin Chambolle
Published in: 2020
Publisher: tba

The Infinity Laplacian eigenvalue problem: reformulation and a numerical scheme

Author(s): Bozorgnia, Farid; Bungert, Leon; Tenbrinck, Daniel
Published in: 2020
Publisher: tba

Joint reconstruction-segmentation on graphs

Author(s): Jeremy Budd, Yves van Gennip, Jonas Latz, Simone Parisotto, Carola-Bibiane Schönlieb
Published in: 2022
Publisher: tba

Autophosphorylation and the dynamics of the activation of Lck

Author(s): Lisa Maria Kreusser, Alan D. Rendall
Published in: 2021
Publisher: tba

Image reconstruction in dynamic inverse problems with temporal models

Author(s): A Hauptmann, O Öktem, C Schönlieb
Published in: 2020
Publisher: tba

Network structured kinetic models of social interactions

Author(s): Burger, Martin
Published in: 2020
Publisher: tba

FISTA is an automatic geometrically optimized algorithm for strongly convex functions

Author(s): J-F Aujol, C. Dossal, and A. Rondepierre
Published in: 2021
Publisher: tba

On anisotropic diffusion equations for label propagation

Author(s): Lisa Maria Kreusser, Marie-Therese Wolfram
Published in: 2020
Publisher: tba

Mean-field optimal control for biological pattern formation

Author(s): Burger, Martin; Kreusser, Lisa Maria; Totzeck, Claudia
Published in: 2020
Publisher: tba

Unsupervised Image Restoration Using Partially Linear Denoisers

Author(s): R Ke, CB Schönlieb
Published in: 2020
Publisher: tba

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

Author(s): Veronica Corona, Yehuda Dar, Guy Williams, Carola-Bibiane Schönlieb
Published in: 2020
Publisher: tba

Convergence rates of the Heavy-Ball method with Lojasiewicz property

Author(s): Aujol, J-F; Dossal, Ch; Rondepierre, Aude
Published in: 2020
Publisher: tba

Revealing Stable and Unstable Modes of Generic Denoisers through Nonlinear Eigenvalue Analysis

Author(s): Ester Hait-Fraenkel, Guy Gilboa
Published in: 2020
Publisher: tba

Contrastive Registration for Unsupervised Medical Image Segmentation

Author(s): L Liu, AI Aviles-Rivero, CB Schönlieb
Published in: 2020
Publisher: tba

Two cycle learning: Clustering based regularisation for deep semi-supervised classification

Author(s): P Sellars, A Aviles-Rivero, CB Schönlieb
Published in: 2020
Publisher: tba

A Linear Transportation Lp Distance for Pattern Recognition

Author(s): Oliver M. Crook, Mihai Cucuringu, Tim Hurst, Carola-Bibiane Schönlieb, Matthew Thorpe, Konstantinos C. Zygalakis
Published in: 2020
Publisher: tba

Mode Decomposition for Homogeneous Symmetric Operators

Author(s): Ido Cohen, Omri Azencot, Pavel Lifshitz, Guy Gilboa
Published in: 2020
Publisher: tba

Mass-conserving diffusion-based dynamics on graphs

Author(s): Budd, Jeremy; van Gennip, Yves
Published in: 2020
Publisher: tba

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: 2020
Publisher: tba

FISTA restart using an automatic estimation of the growth parameter

Author(s): AUJOL, Jean-François; DOSSAL, Charles; LABARRIÈRE, Hippolyte; RONDEPIERRE, Aude
Published in: 2022, 2022
Publisher: tba

Iterative Methods for Computing Eigenvectors of Nonlinear Operators

Author(s): Gilboa, Guy
Published in: 2020
Publisher: tba

SLIC-UAV: A Method for monitoring recovery in tropical restoration projects through identification of signature species using UAVs

Author(s): Jonathan Williams, Carola-Bibiane Schönlieb, Tom Swinfield, Bambang Irawan, Eva Achmad, Muhammad Zudhi, Habibi, Elva Gemita, David A. Coomes
Published in: 2020
Publisher: tba

Ground Truth Free Denoising by Optimal Transport

Author(s): S Dittmer, CB Schönlieb, P Maass
Published in: 2020
Publisher: tba

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: 2020
Publisher: tba

Multi-task deep learning for image segmentation using recursive approximation tasks

Author(s): R. Ke, A. Bugeau, N. Papadakis, M. Kirkland, P. Schuetz, C.B. Schönlieb
Published in: 2020
Publisher: tba

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: to appear in GAMM Mitteilungen special issue on Scientific Machine Learning, 2021
Publisher: Wiley-VCH Verlag

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: 2020
Publisher: tba

Graph MBO as a semi-discrete implicit Euler scheme for graph Allen-Cahn

Author(s): Budd, Jeremy; van Gennip, Yves
Published in: 18, 2019
Publisher: tba

Deep Limits of Residual Neural Networks

Author(s): Matthew Thorpe, Yves van Gennip
Published in: 2019
Publisher: tba

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

Author(s): Bozorgnia, Farid
Published in: 9, 2020
Publisher: tba

A Deterministic Approach to Avoid Saddle Points

Author(s): Lisa Maria Kreusser, Stanley J. Osher, Bao Wang
Published in: 2019
Publisher: tba

Approximation of Wasserstein distance with Transshipment

Author(s): Papadakis, Nicolas
Published in: 2019
Publisher: tba

Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals

Author(s): Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
Published in: 2020
Publisher: tba

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds

Author(s): Bergmann, Ronny; Herzog, Roland; Tenbrinck, Daniel; Vidal-Núñez, José
Published in: 2019
Publisher: tba

MUMFORD -SHAH FUNCTIONALS ON GRAPHS AND THEIR ASYMPTOTICS

Author(s): Caroccia, Marco; Chambolle, Antonin; Slepčev, Dejan
Published in: 2019
Publisher: tba

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: 2019
Publisher: tba

Total Variation Regularisation with Spatially Variable Lipschitz Constraints

Author(s): Martin Burger, Yury Korolev, Simone Parisotto, Carola-Bibiane Schönlieb
Published in: 2019
Publisher: tba

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: 2020
Publisher: tba

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: 2019
Publisher: tba

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

Author(s): Leon Bungert, Yury Korolev, Martin Burger
Published in: 2020
Publisher: tba

History-based anomaly detector: an adversarial approach to anomaly detection

Author(s): Pierrick Chatillon, Coloma Ballester
Published in: 2020
Publisher: tba

Variational Graph Methods for Efficient Point Cloud Sparsification

Author(s): Tenbrinck, Daniel; Gaede, Fjedor; Burger, Martin
Published in: 2019
Publisher: tba

Accelerated iterative regularization via dual diagonal descent

Author(s): Luca Calatroni, Guillaume Garrigos, Lorenzo Rosasco, Silvia Villa
Published in: 2019
Publisher: tba

Numeric Solutions of Eigenvalue Problems for Generic Nonlinear Operators

Author(s): Ester Hait-Fraenkel, Guy Gilboa
Published in: 2020
Publisher: tba

Near-linear Time Gaussian Process Optimization with Adaptive Batching and Resparsification

Author(s): Daniele Calandriello, Luigi Carratino, Alessandro Lazaric, Michal Valko, Lorenzo Rosasco
Published in: 2020
Publisher: tba

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

Author(s): Salzo, Saverio; Villa, Silvia
Published in: 2019
Publisher: tba

Multi-Scale Vector Quantization with Reconstruction Trees

Author(s): Enrico Cecini, Ernesto De Vito, Lorenzo Rosasco
Published in: 2019
Publisher: tba

Implicit Regularization of Accelerated Methods in Hilbert Spaces

Author(s): Nicolò Pagliana, Lorenzo Rosasco
Published in: 2019
Publisher: tba

Reproducing kernel Hilbert spaces on manifolds: Sobolev and Diffusion spaces

Author(s): Ernesto De Vito, Nicole Mücke, Lorenzo Rosasco
Published in: 2019
Publisher: tba

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: 2019
Publisher: tba

On the Bias-Variance Tradeoff in Stochastic Gradient Methods

Author(s): Driggs, Derek, Liang, Jingwei, Schönlieb, Carola-Bibiane
Published in: 2019
Publisher: tba

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: 2019
Publisher: tba

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

Author(s): Pan Liu, Carola-Bibiane Schönlieb
Published in: 2019
Publisher: tba

Weak and approximate curvatures of a measure: a varifold perspective

Author(s): Buet, Blanche; Leonardi, Gian Paolo; Masnou, Simon
Published in: 2020
Publisher: tba

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: 2019
Publisher: HAL archives ouvertes

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

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

Fast approximation of orthogonal matrices and application to PCA

Author(s): Rusu, Cristian; Rosasco, Lorenzo
Published in: 2019
Publisher: arXiv

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: 2020
Publisher: tba

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: 2020
Publisher: tba

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: 2020
Publisher: tba

Learning Optical Flow for Fast MRI Reconstruction

Author(s): T Schmoderer, AI Aviles-Rivero, V Corona, N Debroux, CB Schönlieb
Published in: 2020
Publisher: tba

Graph gradient flows : from discrete to continuum

Author(s): Yoshikazu Giga, Yves van Gennip, Jun Okamoto
Published in: 2022
Publisher: tba

Efficient $\ell_0$ gradient-based Super-Resolution for simplified image segmentation

Author(s): P. Cascarano, L. Calatroni, E. Loli Piccolomini
Published in: in revision for IEEE Transactions on Computational Imaging, 2020
Publisher: tba

Bayesian optimization assisted unsupervised learning for efficient intra-tumor partitioning in MRI and survival prediction for glioblastoma patients

Author(s): Y Li, C Li, S Price, CB Schönlieb, X Chen
Published in: 2020
Publisher: tba

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: 2020
Publisher: tba

Sampled Nonlocal Gradients for Stronger Adversarial Attacks

Author(s): Leo Schwinn, Daniel Tenbrinck, An Nguyen, René Raab, Martin Burger, Bjoern Eskofier
Published in: 2020
Publisher: tba

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: 2020
Publisher: tba

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

Author(s): Leon Bungert, Yury Korolev
Published in: 2022
Publisher: tba

Hyperbolic Manifold Regression

Author(s): Marconi, Gian Maria; Rosasco, Lorenzo; Ciliberto, Carlo
Published in: 2020
Publisher: tba

Book chapters (12)

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, 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

Approximating the total variation with finite differences or finite elements

Author(s): Antonin Chambolle, Thomas Pock
Published in: Geometric Partial Differential Equations - Part II, 22, 2021, Page(s) 383-417, ISBN 9780444643056
Publisher: Elsevier
DOI: 10.1016/bs.hna.2020.10.005

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, 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

Discrete p-bilaplacian Operators on Graphs

Author(s): Imad El Bouchairi, Abderrahim El Moataz, Jalal Fadili
Published in: Image and Signal Processing - 9th International Conference, ICISP 2020, Marrakesh, Morocco, June 4–6, 2020, Proceedings, 12119, 2020, Page(s) 339-347, ISBN 978-3-030-51934-6
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-51935-3_36

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, 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, 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, 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, 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, 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, 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, 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

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, 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

Conference proceedings (37)

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

Inexact Attributed Subgraph Matching

Author(s): Thomas K. Tu, Jacob D. Moorman, Dominic Yang, Qinyi Chen, and Andrea L., Bertozzi
Published in: to appear in Graph Techniques for Adversarial Activity Analytics (GTA3 4.0) workshop, Proc. 2020 IEEE, International Conference on BIG DATA, 2020, Page(s) 2575-2582
Publisher: tba

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), 2020
Publisher: ICML

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, 12679, 2021, ISBN 978-3-030-75549-2
Publisher: Springer
DOI: 10.1007/978-3-030-75549-2_25

Deep learning of normal form autoencoders for universal, parameter-dependent dynamics

Author(s): M Kalia, SL Brunton, HGE Meijer, C Brune, JN Kutz
Published in: NeurIPS workshop on Interpretable Inductive Biases and Physically Structured Learning, 1, 2020
Publisher: NeurIPS

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), 2020, Page(s) 1506-1510, ISBN 978-1-7281-6395-6
Publisher: IEEE
DOI: 10.1109/icip40778.2020.9190639

Multi-channel U-Net for Music Source Separation

Author(s): Venkatesh S. Kadandale, Juan F. Montesinos, Gloria Haro, Emilia Gomez
Published in: 2020 IEEE 22nd International Workshop on Multimedia Signal Processing (MMSP), 2020, Page(s) 1-6, ISBN 978-1-7281-9320-5
Publisher: IEEE
DOI: 10.1109/mmsp48831.2020.9287108

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), 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

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

Low Dimensional State Representation Learning with Reward-shaped Priors

Author(s): Nicolò Botteghi, Ruben Obbink, Daan Geijs, Mannes Poel, Beril Sirmacek, Christoph Brune, Abeje Mersha, Stefano Stramigioli
Published in: ICPR 2020 - 25th International Conference on Pattern Recognition, 2021
Publisher: ICPR

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

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, 3, 2020, Page(s) 9-18, ISBN 9781450381499
Publisher: ACM
DOI: 10.1145/3422844.3423054

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, 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

Classification and Feature Selection Using a Primal-Dual Method and Projections on Structured Constraints

Author(s): Michel Barlaud, Antonin Chambolle, Jean-Baptiste Caillau
Published in: ICPR 2020, 2021
Publisher: Proceedings ICPR 2020

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

A multi-task U-net for segmentation with lazy labels

Author(s): Ke, Rihuan; Bugeau, Aurélie; Papadakis, Nicolas; Schuetz, Peter; Schönlieb, Carola-Bibiane
Published in: International Conference on Learning Representations, 2020
Publisher: ICLR

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, 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 32 (NIPS 2019), 2019
Publisher: Neural Information Processing Systems Foundation, Inc.

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, 97, 2019, Page(s) 1823-1832
Publisher: Proceedings of Machine Learning Research

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

Author(s): Angelica I. Aviles-Rivero, Guy Williams, Martin J. Graves, Carola-Bibiane Schonlieb
Published in: Joint Annual Meeting ISMRM-ESMRMB, 2018
Publisher: International Society for Magnetic Resonance in Medicine

Adversarial regularizers in inverse problems, Advances in Neural Information Processing Systems

Author(s): Sebastian Lunz, Ozan Öktem, Carola-Bibiane Schönlieb
Published in: Advances in Neural Information Processing Systems 31 (NIPS 2018), 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, 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, 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, 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), 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, 37, 2020
Publisher: Proceedings of Machine Learning Research

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, 2020
Publisher: tba

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, 37, 2020
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, 37, 2020
Publisher: Proceedings of Machine Learning Research

Thesis dissertations (1)

Nonlinear Spectral Analysis with Variational Methods

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

Non-peer reviewed articles (3)

Block based refitting in $\ell_{12}$ sparse regularisation

Author(s): Deledalle, Charles-Alban; Papadakis, Nicolas; Salmon, Joseph; Vaiter, Samuel
Published in: Journal of Mathematical Imaging and Vision, 2020, ISSN 0924-9907
Publisher: Kluwer Academic Publishers

On Anisotropic Optical Flow Inpainting Algorithms

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

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