CHallenges in Preservation of Structure

Risultati finali

Software 2

Publication of open source software

Workshops with industry

Workshop 7 where early stage researchers meet industry (task 8.3). Workshop 8 with SMEs (task 8.4).

Workshop 4

Workshop organized by La Trobe.

Talks 3

Presentations at the conference FoCM, 2017

Workshop 6

Workshop at Massey.

Talks at FoCM

Presentations at the FoCM meeting, 2017. Delivery month is tentative because the date of the FoCM conference is not known at the moment.

Software 3

Open source software package implementing the algorithms developed in tasks 7.1-7.4 and incorporating standard test cases.

SDEs

School on SDEs (see task 8.9).

Talks

Reports on tasks 3.1-3.2 at the SciCADE meeting, D 3.1-3.2, Bath, UK, 2017.

Workshop 5 and MaGIC

Workshop 5: The Abel symposium, August 16-19, 2016, Rosendal, Norway WP5 MaGIC Workshop WP8

Talks 2

Presentations at the SciCADE conference, Bath, UK, 2017.

Workshops organized by UCAM

Workshops at the Newton institute (Cambridge): -Workshop 1: Variational methods new optimization techniques and new fast numerical algorithms, (tasks 2.5, 2.6). -Workshop 2: Generative models, parameter learning and sparsity, (task 2.6). -Workshop 3: Flows, Mappings and Shapes, (task 2.7). Final CHiPS Workshop (event 12 table 3).

Software 1

Implementation of integrators in D 3.3-3.4 in open-spurce software.

School lecture

Science festival Gothenburg, school lecture.

Videos

Production of short instruction videos explaining the basics of Discrete Gradients, and corresponding methods. (WP 4) Production of short instructive videos giving the elementary background to elementary Geometric Mechanics targeted at new MSc and PhD students. (WP 3)

Report on the polarization

Report on the polarization technique generalizing Kahan’s method to higher degree polynomial vector fields.

Model Reduction/ Port-Hamiltonian

Report on structure-preserving model reduction and on port-Hamiltonian systems.

Reports Bayesian

Reports on geometric integrators for Bayesian inference (tasks 7.1-7.4)

Report on modified invariant measure

Report on modified invariant measure for new classes of completely integrable quadratic vector fields.

Symplectic

Reports on tasks 3.3-3.4

Case study/Convergence/Continuous model

Case study of the use of discrete gradient methods in image processing, report. Convergence of discrete gradients, report (task 2.2). Approximation of the continuous model, (task 2.4).

Reports HOsC

Publications in relevant journals on Structure preservation in partial differential equations with highly oscillatory solutions (delivered also on month 12)

Reports on algebraic combinatorics

Publications in algebraic combinatorics with applications

Pubblicazioni

Symmetric and arbitrarily high-order Birkhoff–Hermite time integrators and their long-time behaviour for solving nonlinear Klein–Gordon equations

Autori: Changying Liu, Arieh Iserles, Xinyuan Wu
Pubblicato in: Journal of Computational Physics, Numero 356, 2018, Pagina/e 1-30, ISSN 0021-9991
Editore: Academic Press
DOI: 10.1016/j.jcp.2017.10.057

Discretization of polynomial vector fields by polarization

Autori: Elena Celledoni, Robert I. McLachlan, David I. McLaren, Brynjulf Owren, G. R. W. Quispel
Pubblicato in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Numero 471/2184, 2015, Pagina/e 20150390, ISSN 1364-5021
Editore: Royal Society of London
DOI: 10.1098/rspa.2015.0390

Geometry of Discrete-Time Spin Systems

Autori: Robert I. McLachlan, Klas Modin, Olivier Verdier
Pubblicato in: Journal of Nonlinear Science, Numero 26/5, 2016, Pagina/e 1507-1523, ISSN 0938-8974
Editore: Springer Verlag
DOI: 10.1007/s00332-016-9311-z

Geometry of matrix decompositions seen through optimal transport and information geometry

Autori: Klas Modin
Pubblicato in: Journal of Geometric Mechanics, Numero 9/3, 2017, Pagina/e 335-390, ISSN 1941-4889
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/jgm.2017014

Geometric and integrability properties of Kahan's method

Autori: Celledoni, Elena; McLaren, David; Owren, Brynjulf; Quispel, Reinout
Pubblicato in: Journal of Physics A, Numero 1, 2019, ISSN 1751-8113
Editore: Institute of Physics Publishing

Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images

Autori: Calatroni, Luca; van Gennip, Yves; Schönlieb, Carola-Bibiane; Rowland, Hannah; Flenner, Arjuna
Pubblicato in: Journal of Mathematical Imaging and Vision, Numero 16, 2017, ISSN 0924-9907
Editore: Kluwer Academic Publishers
DOI: 10.17863/CAM.31490

Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models

Autori: De los Reyes, JC; Schonlieb, C-B; Valkonen, T
Pubblicato in: JOURNAL OF MATHEMATICAL IMAGING AND VISION, Numero 11, 2018, ISSN 0924-9907
Editore: Kluwer Academic Publishers
DOI: 10.13039/501100000735

Two classes of quadratic vector fields for which the Kahan discretization is integrable

Autori: Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.
Pubblicato in: Journal of Physics A, Numero 7, 2019, ISSN 1751-8113
Editore: Institute of Physics Publishing

Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation

Autori: van der Kamp, Peter H.; Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.
Pubblicato in: Journal of Physics A, Numero 1, 2019, ISSN 1751-8113
Editore: Institute of Physics Publishing

The Joy and Pain of Skew Symmetry

Autori: Arieh Iserles
Pubblicato in: Foundations of Computational Mathematics, Numero 16/6, 2016, Pagina/e 1607-1630, ISSN 1615-3375
Editore: Springer Verlag
DOI: 10.1007/s10208-016-9321-0

Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential

Autori: Philipp Bader, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Pubblicato in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Numero 472/2193, 2016, Pagina/e 20150733, ISSN 1364-5021
Editore: Royal Society of London
DOI: 10.1098/rspa.2015.0733

Shape analysis on Lie groups with applications in computer animation

Autori: Elena Celledoni, Markus Eslitzbichler, Alexander Schmeding
Pubblicato in: Journal of Geometric Mechanics, Numero 8/3, 2016, Pagina/e 273-304, ISSN 1941-4889
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/jgm.2016008

A classification of volume preserving generating forms in $\mathbb{R}^3$

Autori: Olivier Verdier, Huiyan Xue, Antonella Zanna
Pubblicato in: Discrete and Continuous Dynamical Systems, Numero 36/4, 2016, Pagina/e 2285-2303, ISSN 1078-0947
Editore: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2016.36.2285

High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations

Autori: Elena Celledoni, Bawfeh Kingsley Kometa, Olivier Verdier
Pubblicato in: Journal of Scientific Computing, Numero 66/1, 2016, Pagina/e 91-115, ISSN 0885-7474
Editore: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-015-0015-6

The averaged Lagrangian method

Autori: Elena Celledoni, Eirik Hoel Høiseth
Pubblicato in: Journal of Computational and Applied Mathematics, Numero 316, 2017, Pagina/e 161-174, ISSN 0377-0427
Editore: Elsevier BV
DOI: 10.1016/j.cam.2016.09.047

Geometric integration of non-autonomous linear Hamiltonian problems

Autori: Håkon Marthinsen, Brynjulf Owren
Pubblicato in: Advances in Computational Mathematics, Numero 42/2, 2016, Pagina/e 313-332, ISSN 1019-7168
Editore: Kluwer Academic Publishers
DOI: 10.1007/s10444-015-9425-0

Graph Clustering, Variational Image Segmentation Methods and Hough Transform Scale Detection for Object Measurement in Images

Autori: Luca Calatroni, Yves van Gennip, Carola-Bibiane Schönlieb, Hannah M. Rowland, Arjuna Flenner
Pubblicato in: Journal of Mathematical Imaging and Vision, 2016, ISSN 0924-9907
Editore: Kluwer Academic Publishers
DOI: 10.1007/s10851-016-0678-0

Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models

Autori: J. C. De los Reyes, C.-B. Schönlieb, T. Valkonen
Pubblicato in: Journal of Mathematical Imaging and Vision, 2016, ISSN 0924-9907
Editore: Kluwer Academic Publishers
DOI: 10.1007/s10851-016-0662-8

The structure of optimal parameters for image restoration problems

Autori: J.C. De Los Reyes, C.-B. Schönlieb, T. Valkonen
Pubblicato in: Journal of Mathematical Analysis and Applications, Numero 434/1, 2016, Pagina/e 464-500, ISSN 0022-247X
Editore: Academic Press
DOI: 10.1016/j.jmaa.2015.09.023

Individual Tree Species Classification From Airborne Multisensor Imagery Using Robust PCA

Autori: Juheon Lee, Xiaohao Cai, Jan Lellmann, Michele Dalponte, Yadvinder Malhi, Nathalie Butt, Mike Morecroft, Carola-Bibiane Schonlieb, David A. Coomes
Pubblicato in: IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, Numero 9/6, 2016, Pagina/e 2554-2567, ISSN 1939-1404
Editore: Institute of Electrical and Electronics Engineers
DOI: 10.1109/JSTARS.2016.2569408

Infimal Convolution Regularisation Functionals of BV and $$\varvec{\mathrm {L}}^{\varvec{p}}$$ L p Spaces

Autori: Martin Burger, Konstantinos Papafitsoros, Evangelos Papoutsellis, Carola-Bibiane Schönlieb
Pubblicato in: Journal of Mathematical Imaging and Vision, Numero 55/3, 2016, Pagina/e 343-369, ISSN 0924-9907
Editore: Kluwer Academic Publishers
DOI: 10.1007/s10851-015-0624-6

Numerical Solution of Parabolic Problems Based on a Weak Space-Time Formulation

Autori: Stig Larsson, Matteo Molteni
Pubblicato in: Computational Methods in Applied Mathematics, Numero 17/1, 2017, ISSN 1609-4840
Editore: Walter de Gruyter and Co.
DOI: 10.1515/cmam-2016-0027

Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise

Autori: Rikard Anton, David Cohen, Stig Larsson, Xiaojie Wang
Pubblicato in: SIAM Journal on Numerical Analysis, Numero 54/2, 2016, Pagina/e 1093-1119, ISSN 0036-1429
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M101049X

Weak error analysis for semilinear stochastic Volterra equations with additive noise

Autori: Adam Andersson, Mihály Kovács, Stig Larsson
Pubblicato in: Journal of Mathematical Analysis and Applications, Numero 437/2, 2016, Pagina/e 1283-1304, ISSN 0022-247X
Editore: Academic Press
DOI: 10.1016/j.jmaa.2015.09.016

A Weak Space-Time Formulation for the Linear Stochastic Heat Equation

Autori: Stig Larsson, Matteo Molteni
Pubblicato in: International Journal of Applied and Computational Mathematics, 2016, ISSN 2349-5103
Editore: Springer India
DOI: 10.1007/s40819-016-0134-2

Weak convergence for a spatial approximation of the nonlinear stochastic heat equation

Autori: Adam Andersson, Stig Larsson
Pubblicato in: Mathematics of Computation, Numero 85/299, 2016, Pagina/e 1335-1358, ISSN 0025-5718
Editore: American Mathematical Society
DOI: 10.1090/mcom/3016

Duality in refined Sobolev–Malliavin spaces and weak approximation of SPDE

Autori: Adam Andersson, Raphael Kruse, Stig Larsson
Pubblicato in: Stochastics and Partial Differential Equations Analysis and Computations, Numero 4/1, 2016, Pagina/e 113-149, ISSN 2194-0401
Editore: Springer US
DOI: 10.1007/s40072-015-0065-7

Gradient flows: from theory to application

Autori: Bertram Düring, Carola-Bibiane Schönlieb, Marie-Therese Wolfram
Pubblicato in: ESAIM: Proceedings and Surveys, Numero 54, 2016, Pagina/e I-VIII, ISSN 2267-3059
Editore: EDP Science
DOI: 10.1051/proc/201654000

Discrete gradient methods for solving variational image regularisation models

Autori: V Grimm, Robert I McLachlan, David I McLaren, G R W Quispel, C-B Schönlieb
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, Numero 50/29, 2017, Pagina/e 295201, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa747c

8. Bilevel approaches for learning of variational imaging models

Autori: Luca Calatroni, Chung Cao, Juan Carlos De los Reyes, Carola-Bibiane Schönlieb, Tuomo Valkonen
Pubblicato in: Variational Methods - In Imaging and Geometric Control, 2016, ISBN 9783-110430394
Editore: De Gruyter
DOI: 10.1515/9783110430394-008

Learning Filter Functions in Regularisers by Minimising Quotients

Autori: Martin Benning, Guy Gilboa, Joana Sarah Grah, Carola-Bibiane Schönlieb
Pubblicato in: cale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, Proceedings, 2017, Pagina/e 511-523
Editore: Springer International Publishing
DOI: 10.1007/978-3-319-58771-4_41

Nonlinear Spectral Image Fusion

Autori: Martin Benning, Michael Möller, Raz Z. Nossek, Martin Burger, Daniel Cremers, Guy Gilboa, Carola-Bibiane Schönlieb
Pubblicato in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, Proceedings, 2017, Pagina/e 41-53
Editore: Springer International Publishing
DOI: 10.1007/978-3-319-58771-4_4

Risultati finali

Pubblicazioni

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