P.-A. Absil

Professor
Department of Mathematical Engineering (INMA)
ICTEAM Institute & Louvain School of Engineering
University of Louvain

Publications, software, selected talks, and a picture are available.

Contact information

Access map

Mailing address:
PA Absil
Bâtiment Euler (P13)
Avenue Georges Lemaître 4 bte L4.05.01
1348 Louvain-la-Neuve
Belgium

Phone: +32 10 47 80 36 (department)
Fax: +32-10-472180
E-mail
URL: http://sites.uclouvain.be/absil/

Research groups

Biography

Short biography

Teaching

LINFO1111: Analyse
LINMA1315: Compléments d'analyse
LINMA1731: Stochastic Processes: Estimation and Prediction
LINMA2120: System theory seminar
LINMA2171: Numerical Analysis: Approximation, Interpolation, Integration
LINMA2360: Project in Mathematical Engineering
LINMA2361: Nonlinear Dynamical Systems
LINMA2710: Scientific Computing

Research areas

Numerics on manifolds: Applications to numerical linear algebra and machine learning
Numerical optimization: Mathematical programming; Optimization on manifolds
Dynamical systems: Dynamical systems that solve computational problems
Biological data analysis: Cardiac rhythm variability; Sleep apnea detection; Gene expression analysis; EEG analysis

Postdocs and long-term visitors

Florentin Goyens (2024-)
Simon Vary (2021-2023)
Bin Gao (2019-2021)
Yu Guan (2019-2020)
Thanh Son Nguyen (2018-2020)
Wen Huang (2014-2016)
Augustin Lefèvre (2012-2013)
S. Easter Selvan (2010-2014)
Mariya Ishteva (2010)
Chafik Samir (2008-2009)

PhD students at UCLouvain

Nicolas Mil-Homens Cavaco (2024-)
Simon Mataigne (2023-)
Benoît Loucheur (2021-)
Hazan Daglayan Sevim (2020-)
Ousmane Diao (2019-2023)
Loïc van Hoorebeeck (2018-2022)
Guillaume Olikier (2017-2023)
Shuyu Dong (2016-2021)
Estelle Massart (2015-2019)
Pierre-Yves Gousenbourger (2014-2020)
Emilie Renard (2012-2019)
Nicolas Boumal (2010-2014)
Arnaud Browet (2008-2014)
Pierre Borckmans (2008-2013)
Quentin Rentmeesters (2008-2013)
Thomas Cason (2006-2012)
Tzvetan Ivanov (2007-2011)

Selected talks

A rank estimation method for third-order tensor completion in the tensor-train format, presented by Charlotte Vermeylen, 2024.
Slides of the BFG'09 talk "Optimization on manifolds: methods and applications", Leuven, 18 Sep 2009
Slides of the Stiefel Centennial Lecture, Zurich, 10 Sep 2009
The following links give access to paper ID sheets from which slides are accessible:
- Vector transport on manifolds (ICIAM talk)
- Optimization on manifolds (DYSCO meeting talk)
- Model-based methods for computing extreme eigenpairs of definite pencils
- Trust-region methods on Riemannian manifolds

Publications

Book

Optimization Algorithms on Matrix Manifolds
P.-A. Absil, R. Mahony, R. Sepulchre
Princeton University Press, 2008

Theses

PhD in Engineering ("doctorat en sciences appliquées"), University of Liege, February 2003.
Thesis: Invariant Subspace Computation: A Geometric Approach. Advisor: Prof. R. Sepulchre.
Engineering degree in physics, University of Liege, 1998.
Diploma thesis: Nonlinear analysis of cardiological signals towards clinical applications. Supervisor: Prof. R. Sepulchre.

Journal articles, technical reports, chapters in books, and recent conference papers

The list also includes selected publications where I am acknowledged. See the bottom of the page for conferences papers before 2013.

2024

Weather Data Imputation Using Graph-Based Low-Rank Matrix Completion with Variable Projection: Benoît Loucheur, P.-A. Absil, Michel Journée

Technical report UCL-INMA-2024.07

DIAL entry: https://hdl.handle.net/2078.1/294771
Proceedings of BNAIC/BeNeLearn 2024, pp. 1-16, 2024
An alternating minimization algorithm with trajectory for direct exoplanet detection -- The AMAT algorithm: Hazan Daglayan, Simon Vary, Olivier Absil, Faustine Cantalloube, Valentin Christiaens, Nicolas Gillis, Laurent Jacques, Valentin Leplat, P.-A. Absil

Technical report UCL-INMA-2024.06

DIAL entry: https://hdl.handle.net/2078.1/294770
Astronomy & Astrophysics, 692, pp. A126, 2024 - doi:10.1051/0004-6361/202451242
Computing Bouligand stationary points efficiently in low-rank optimization: Guillaume Olikier, P.-A. Absil

Technical report UCL-INMA-2024.05
2024
Bounds on the geodesic distances on the Stiefel manifold for a family of Riemannian metrics: Simon Mataigne, P.-A. Absil, Nina Miolane

Technical report UCL-INMA-2024.04
2024
Optimization without retraction on the random generalized Stiefel manifold: Simon Vary, Pierre Ablin, Bin Gao, P.-A. Absil

Technical report UCL-INMA-2024.03

DIAL entry: https://hdl.handle.net/2078.1/290550
In Ruslan Salakhutdinov, Zico Kolter, Katherine Heller, Adrian Weller, Nuria Oliver, Jonathan Scarlett, Felix Berkenkamp (Eds.), Proceedings of the 41st International Conference on Machine Learning, Proceedings of Machine Learning Research, 235, pp. 49226-49248, 2024
Strong versions of impulsive controllability and sampled observability: P.-A. Absil, Irina Cojuhari, Ion Fiodorov, André L. Tits

Technical report UCL-INMA-2024.02

DIAL entry: https://hdl.handle.net/2078.1/294768
Automatica, 169, pp. 111865, 2024 - doi:10.1016/j.automatica.2024.111865
The ultimate upper bound on the injectivity radius of the Stiefel manifold: P.-A. Absil, Simon Mataigne

Technical report UCL-INMA-2024.01
2024
Low-rank optimization methods based on projected-projected gradient descent that accumulate at Bouligand stationary points: Guillaume Olikier, Kyle A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2022.01
2024

2023

Direct exoplanet detection using L1 norm low-rank approximation: Hazan Daglayan, Simon Vary, Valentin Leplat, Nicolas Gillis, P.-A. Absil

Technical report UCL-INMA-2023.08

DIAL entry: https://hdl.handle.net/2078.1/281059
Proceedings of BNAIC/BeNeLearn 2023, pp. 1-13, 2023
An alternating minimization algorithm with trajectory for direct exoplanet detection: Hazan Daglayan, Simon Vary, P.-A. Absil

Technical report UCL-INMA-2023.07

DIAL entry: https://hdl.handle.net/2078.1/278845
Proceedings of the 31st European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2023), pp. 417-422, 2023 - doi:10.14428/esann/2023.ES2023-137
Rank estimation for third-order tensor completion in the tensor-train format: Charlotte Vermeylen, Guillaume Olikier, P.-A. Absil, Marc Van Barel

Technical report UCL-INMA-2023.06

DIAL entry: https://hdl.handle.net/2078.1/281058
Proceedings of the 31st European Signal Processing Conference (EUSIPCO 2023), pp. 965-969, 2023
Graph-based matrix completion applied to weather data: Benoît Loucheur, P.-A. Absil, Michel Journée

Technical report UCL-INMA-2023.05

DIAL entry: https://hdl.handle.net/2078.1/277915
Proceedings of the 31st European Signal Processing Conference (EUSIPCO 2023), pp. 1973-1977, 2023
A Riemannian proximal Newton method: Wutao Si, P.-A. Absil, Wen Huang, Rujun Jiang, Simon Vary

Technical report UCL-INMA-2023.04

DIAL entry: https://hdl.handle.net/2078.1/285108
SIAM Journal on Optimization, 34:1, pp. 654-681, 2023 - doi:10.1137/23M1565097
Low-rank plus sparse trajectory decomposition for direct exoplanet imaging: Simon Vary, Hazan Daglayan, Laurent Jacques, P.-A. Absil

Technical report UCL-INMA-2023.03

DIAL entry: https://hdl.handle.net/2078.1/276195
2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 1-5, 2023 - doi:10.1109/ICASSP49357.2023.10096197
Infeasible deterministic, stochastic, and variance-reduction algorithms for optimization under orthogonality constraints: Pierre Ablin, Simon Vary, Bin Gao, P.-A. Absil

Technical report UCL-INMA-2023.02
2023
First-order optimization on stratified sets: Guillaume Olikier, Kyle Gallivan, P.-A. Absil

Technical report UCL-INMA-2023.01
2023
Likelihood ratio map for direct exoplanet detection: Hazan Daglayan, Simon Vary, Faustine Cantalloube, P.-A. Absil, Olivier Absil

Technical report UCL-INMA-2022.05

DIAL entry: https://hdl.handle.net/2078.1/278880
2022 IEEE 5th International Conference on Image Processing Applications and Systems (IPAS), pp. 1-5, 2023 - doi:10.1109/IPAS55744.2022.10052997
An apocalypse-free first-order low-rank optimization algorithm with at most one rank reduction attempt per iteration: Guillaume Olikier, P.-A. Absil

Technical report UCL-INMA-2022.07

DIAL entry: https://hdl.handle.net/2078.1/278401
SIAM Journal on Matrix Analysis and Applications, 44:3, pp. 1421-1435, 2023 - doi:10.1137/22M1518256

2022

Gap filling in air temperature series by matrix completion methods: Benoît Loucheur, P.-A. Absil, Michel Journée

Technical report UCL-INMA-2022.06

DIAL entry: https://hdl.handle.net/2078.1/267658
ESANN 2022 proceedings, European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, pp. 369-374, i6doc, 2022 - doi:10.14428/esann/2022.ES2022-67
Estimation of seizure onset zone from ictal scalp EEG using independent component analysis in extratemporal lobe epilepsy: Aurélie de Borman, Simone Vespa, Riëm El Tahry, P.-A. Absil

Technical report UCL-INMA-2022.04

DIAL entry: https://hdl.handle.net/2078.1/259039
Journal of Neural Engineering, 19:2, pp. 026005, 2022 - doi:10.1088/1741-2552/ac55ad
Optimization flows landing on the Stiefel manifold: Bin Gao, Simon Vary, Pierre Ablin, P.-A. Absil

Technical report UCL-INMA-2022.03

DIAL entry: https://hdl.handle.net/2078.1/267749
25th IFAC Symposium on Mathematical Theory of Networks and Systems MTNS 2022, IFAC-PapersOnLine, 55:30, pp. 25-30, 2022 - doi:10.1016/j.ifacol.2022.11.023
Comparison of an apocalypse-free and an apocalypse-prone first-order low-rank optimization algorithm: Guillaume Olikier, Kyle A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2022.02
Technical note, 2022
On the continuity of the tangent cone to the determinantal variety: Guillaume Olikier, P.-A. Absil

Technical report UCL-INMA-2021.06

DIAL entry: https://hdl.handle.net/2078.1/262947
Set-Valued and Variational Analysis, 30, pp. 769-788, 2022 - doi:10.1007/s11228-022-00629-0
A Riemannian rank-adaptive method for low-rank matrix completion: Bin Gao, P.-A. Absil

Technical report UCL-INMA-2021.05

DIAL entry: https://hdl.handle.net/2078.1/253601
Computational Optimization and Applications, 81, pp. 67-90, 2022 - doi:10.1007/s10589-021-00328-w
Solving non-convex economic dispatch with valve-point effects and losses with guaranteed accuracy: Loïc Van Hoorebeeck, P.-A. Absil, Anthony Papavasiliou

Technical report UCL-INMA-2021.02

DIAL entry: https://hdl.handle.net/2078.1/249814
International Journal of Electrical Power and Energy Systems, 134, pp. 107143, 2022 - doi:10.1016/j.ijepes.2021.107143

2021

Projection onto quadratic hypersurfaces: Loïc Van Hoorebeeck, P.-A. Absil, Anthony Papavasiliou

Technical report UCL-INMA-2021.07
2021
Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric: Bin Gao, Nguyen Thanh Son, P.-A. Absil, Tatjana Stykel

Technical report UCL-INMA-2021.04

DIAL entry: https://hdl.handle.net/2078.1/249751
In Frank Nielsen, Frédéric Barbaresco (Eds.), Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings, Lecture Notes in Computer Science, 12829, pp. 789-796, Springer International Publishing, 2021 - doi:10.1007/978-3-030-80209-7_85
Symplectic eigenvalue problem via trace minimization and Riemannian optimization: Nguyen Thanh Son, P.-A. Absil, Bin Gao, Tatjana Stykel

Technical report UCL-INMA-2021.01

DIAL entry: https://hdl.handle.net/2078.1/255487
SIAM Journal on Matrix Analysis and Applications, 42:4, pp. 1732-1757, 2021 - doi:10.1137/21M1390621
Assessment of COVID-19 hospitalization forecasts from a simplified SIR model: P.-A. Absil, Ousmane Diao, Mouhamadou Diallo

Technical report UCL-INMA-2020.05
Letters in Biomathematics, 8:1, pp. 215-228, 2021
Riemannian optimization on the symplectic Stiefel manifold: Bin Gao, Nguyen Thanh Son, P.-A. Absil, Tatjana Stykel

Technical report UCL-INMA-2020.04

DIAL entry: https://hdl.handle.net/2078.1/249366
SIAM Journal on Optimization, 31:2, pp. 1546-1575, 2021 - doi:10.1137/20M1348522
Low-rank multi-parametric covariance identification: Antoni Musolas, Estelle Massart, Julien M. Hendrickx, P.-A. Absil, Youssef Marzouk

Technical report UCL-INMA-2020.02

DIAL entry: https://hdl.handle.net/2078.1/246400
BIT Numerical Mathematics, 62, pp. 221-249, 2021 - doi:10.1007/s10543-021-00867-y
On a minimum enclosing ball of a collection of linear subspaces: Timothy Marrinan, P.-A. Absil, Nicolas Gillis

Technical report UCL-INMA-2020.01

DIAL entry: https://hdl.handle.net/2078.1/246488
Linear Algebra and its Applications, 625, pp. 248-278, 2021 - doi:10.1016/j.laa.2021.05.006
Equivalent polyadic decompositions of matrix multiplication tensors: Guillaume O. Berger, P.-A. Absil, Lieven De Lathauwer, Raphaël M. Jungers, Marc Van Barel

Technical report UCL-INMA-2019.03

DIAL entry: https://hdl.handle.net/2078.1/255502
Journal of Computational and Applied Mathematics, 406, pp. 113941, 2021 - doi:10.1016/j.cam.2021.113941

2020

A Grassmann manifold handbook: basic geometry and computational aspects: Thomas Bendokat, Ralf Zimmermann, P.-A. Absil

Technical report UCL-INMA-2020.07

DIAL entry: https://hdl.handle.net/2078.1/282834
Advances in Computational Mathematics, 50:6, pp. 1-51, 2020 - doi:10.1007/s10444-023-10090-8
Alternating minimization algorithms for graph regularized tensor completion: Yu Guan, Shuyu Dong, Bin Gao, P.-A. Absil, François Glineur

Technical report UCL-INMA-2020.06
2020
Global solution of economic dispatch with valve point effects and transmission constraints: Loïc Van Hoorebeeck, P.-A. Absil, Anthony Papavasiliou

Technical report UCL-INMA-2020.03

DIAL entry: https://hdl.handle.net/2078.1/232186
Electric Power Systems Research, In Daniel Molzahn (Ed.), Special issue on Proceedings of the 21st Power Systems Computation Conference (PSCC 2020), 189, pp. 106786, 2020 - doi:10.1016/j.epsr.2020.106786
Computing the matrix geometric mean: Riemannian vs Euclidean conditioning, implementation techniques, and a Riemannian BFGS method: Xinru Yuan, Wen Huang, P.-A. Absil, K. A. Gallivan

Technical report UCL-INMA-2019.05

DIAL entry: https://hdl.handle.net/2078.1/235049
Numerical Linear Algebra with Applications, 27:5, pp. e2321, 2020 - doi:10.1002/nla.2321
Riemannian gradient descent methods for graph-regularized matrix completion: Shuyu Dong, P.-A. Absil, K. A. Gallivan

Technical report UCL-INMA-2019.06

DIAL entry: https://hdl.handle.net/2078.1/246399
Linear Algebra and its Applications, 623, pp. 193-235, 2020 - doi:10.1016/j.laa.2020.06.010
Quotient geometry with simple geodesics for the manifold of fixed-rank positive-semidefinite matrices: Estelle Massart, P.-A. Absil

Technical report UCL-INMA-2018.06

DIAL entry: https://hdl.handle.net/2078.1/226722
SIAM Journal on Matrix Analysis and Applications, 41:1, pp. 171-198, 2020 - doi:10.1137/18M1231389
On the quality of first-order approximation of functions with Hölder-continuous gradient: Guillaume Berger, P.-A. Absil, Raphaël Jungers, Yurii Nesterov

Technical report UCL-INMA-2018.05

DIAL entry: https://hdl.handle.net/2078.1/227384
Journal of Optimization Theory and Applications, 185, pp. 17-33, 2020 - doi:10.1007/s10957-020-01632-x

2019

Averaging symmetric positive-definite matrices: Xinru Yuan, Wen Huang, P.-A. Absil, Kyle Gallivan

Technical report UCL-INMA-2019.04

DIAL entry: https://hdl.handle.net/2078.1/229421
In P. Grohs, M. Holler, A. Weinmann (Eds.), Variational methods for nonlinear geometric data and applications, Springer Handbooks, pp. 555-575, Springer, 2019 - doi:10.1007/978-3-030-31351-7_20
Curvature of the manifold of fixed-rank positive-semidefinite matrices endowed with the Bures-Wasserstein metric: Estelle Massart, Julien M. Hendrickx, P.-A. Absil

Technical report UCL-INMA-2019.02

DIAL entry: https://hdl.handle.net/2078.1/218981
In Frank Nielsen, Frédéric Barbaresco (Eds.), Geometric Science of Information: 4th International Conference, GSI 2019, Toulouse, France, August 27-29, 2019, Proceedings, Lecture Notes in Computer Science, 11712, pp. 739-748, Springer, 2019 - doi:10.1007/978-3-030-26980-7_77
Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold: Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle Massart, P.-A. Absil

Technical report UCL-INMA-2019.01

DIAL entry: https://hdl.handle.net/2078.1/219847
Proceedings of the 6th International Conference on Control, Decision and Information Technologies (CoDIT 2019), pp. 165-170, 2019 - doi:10.1109/CoDIT.2019.8820675
Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results: Estelle Massart, Pierre-Yves Gousenbourger, Nguyen Thanh Son, Tatjana Stykel, P.-A. Absil

Technical report UCL-INMA-2018.13

DIAL entry: https://hdl.handle.net/2078.1/218825
27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2019), pp. 281-286, 2019
MILP-based algorithm for the global solution of dynamic economic dispatch problems with valve-point effects: Loïc Van Hoorebeeck, P.-A. Absil, Anthony Papavasiliou

Technical report UCL-INMA-2018.10

DIAL entry: https://hdl.handle.net/2078.1/226986
The IEEE Power & Energy Society General Meeting 2019, 2019 - doi:10.1109/PESGM40551.2019.8973631
Preconditioned conjugate gradient algorithms for graph regularized matrix completion: Shuyu Dong, P.-A. Absil, Kyle A. Gallivan

Technical report UCL-INMA-2018.09

DIAL entry: https://hdl.handle.net/2078.1/218834
27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2019), pp. 239-244, 2019
Minimax center to extract a common subspace from multiple datasets: Emilie Renard, P.-A. Absil, Kyle A. Gallivan

Technical report UCL-INMA-2018.08

DIAL entry: https://hdl.handle.net/2078.1/218835
27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2019), pp. 275-280, 2019
A collection of nonsmooth Riemannian optimization problems: P.-A. Absil, S. Hosseini

Technical report UCL-INMA-2017.08

DIAL entry: https://hdl.handle.net/2078.1/215064
In Seyedehsomayeh Hosseini, Boris S. Mordukhovich, André Uschmajew (Eds.), Nonsmooth optimization and its applications, International Series of Numerical Mathematics, 170, pp. 1-15, Birkhäuser, 2019 - doi:10.1007/978-3-030-11370-4_1

2018

Data fitting on manifolds with composite Bézier-like curves and blended cubic splines: Pierre-Yves Gousenbourger, Estelle Massart, P.-A. Absil

Technical report UCL-INMA-2018.04

DIAL entry: https://hdl.handle.net/2078.1/208456
Journal of Mathematical Imaging and Vision, 61:5, pp. 645-671, 2018 - doi:10.1007/s10851-018-0865-2
Graph learning for regularized low rank matrix completion: Shuyu Dong, P.-A. Absil, Kyle A. Gallivan

Technical report UCL-INMA-2018.03

DIAL entry: https://hdl.handle.net/2078.1/201674
23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), pp. 460-467, 2018
A Grassmannian minimum enclosing ball approach for common subspace extraction: Emilie Renard, Kyle A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2018.02

DIAL entry: https://hdl.handle.net/2078.1/206910
In Yannick Delville, Sharon Gannot, Russell Mason, Mark D. Plumbley, Dominic Ward (Eds.), LVA/ICA 2018: Latent Variable Analysis and Signal Separation, Lecture Notes in Computer Sciences, 10891, pp. 69-78, Springer International Publishing, 2018 - doi:10.1007/978-3-319-93764-9_7
Variable projection applied to block term decomposition of higher-order tensors: Guillaume Olikier, P.-A. Absil, Lieven De Lathauwer

Technical report UCL-INMA-2018.01

DIAL entry: https://hdl.handle.net/2078.1/206952
In Yannick Delville, Sharon Gannot, Russell Mason, Mark D. Plumbley, Dominic Ward (Eds.), LVA/ICA 2018: Latent Variable Analysis and Signal Separation, Lecture Notes in Computer Sciences, 10891, pp. 139-148, Springer International Publishing, 2018 - doi:10.1007/978-3-319-93764-9_14
MIQP-based algorithm for the global solution of economic dispatch problems with valve-point effects: P.-A. Absil, Benoît Sluysmans, Nicolas Stevens

Technical report UCL-INMA-2017.10

DIAL entry: https://hdl.handle.net/2078.1/202273
PSCC 2018, 20th Power Systems Computation Conference, pp. 1-7, 2018 - doi:10.23919/PSCC.2018.8450877
A Riemannian BFGS method without differentiated retraction for nonconvex optimization problems: Wen Huang, P.-A. Absil, K. A. Gallivan

Technical report UCL-INMA-2017.04

DIAL entry: https://hdl.handle.net/2078.1/195965
SIAM Journal on Optimization, 28:1, pp. 470-495, 2018 - doi:10.1137/17M1127582
ROPTLIB: an object-oriented C++ library for optimization on Riemannian manifolds: Wen Huang, P.-A. Absil, K. A. Gallivan, Paul Hand

Technical report UCL-INMA-2016.13

DIAL entry: https://hdl.handle.net/2078.1/210416
ACM Transactions on Mathematical Software, 44:4, pp. 43:1-43:21, 2018 - doi:10.1145/3218822
Global rates of convergence for nonconvex optimization on manifolds: Nicolas Boumal, P.-A. Absil, Coralia Cartis

Technical report UCL-INMA-2016.09

DIAL entry: https://hdl.handle.net/2078.1/190303
IMA Journal of Numerical Analysis, 39:1, pp. 1-33, 2018 - doi:10.1093/imanum/drx080

2017

A variable projection method for block term decomposition of higher-order tensors: Guillaume Olikier, P.-A. Absil, Lieven De Lathauwer

Technical report UCL-INMA-2017.11

DIAL entry: https://hdl.handle.net/2078.1/207601
26th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2018), pp. 515-520, 2017
Comparison of location-scale and matrix factorization batch effect removal methods on gene expression datasets: Emilie Renard, P.-A. Absil

Technical report UCL-INMA-2017.09

DIAL entry: https://hdl.handle.net/2078.1/189452
2017 IEEE International Conference on Bioinformatics and Biomedicine (BIBM), pp. 1511-1518, 2017
Fast method to fit a C1 piecewise-Bézier function to manifold-valued data points: how suboptimal is the curve obtained on the sphere S2?: Pierre-Yves Gousenbourger, Laurent Jacques, P.-A. Absil

Technical report UCL-INMA-2017.07

DIAL entry: https://hdl.handle.net/2078.1/189233
In Frank Nielsen, Frédéric Barbaresco (Eds.), Geometric Science of Information: Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings, Lecture Notes in Computer Science, 10589, pp. 595-603, Springer, 2017 - doi:10.1007/978-3-319-68445-1_69
VIP: Vortex Image Processing Package for High-Contrast Direct Imaging: Carlos Alberto Gomez Gonzalez, et al

Technical report UCL-INMA-2017.05

DIAL entry: https://hdl.handle.net/2078.1/192013
The Astronomical Journal, 154:1, 2017 - doi:10.3847/1538-3881/aa73d7
Learning sparse models of diffusive graph signals: Shuyu Dong, Dorina Thanou, P.-A. Absil, Pascal Frossard

Technical report UCL-INMA-2017.03

DIAL entry: https://hdl.handle.net/2078.1/192504
25th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2017), pp. 251-256, 2017
Piecewise-Bézier C^1 smoothing on manifolds with application to wind field estimation: Pierre-Yves Gousenbourger, Estelle Massart, Antoni Musolas, P.-A. Absil, Julien M. Hendrickx, Laurent Jacques, Youssef Marzouk

Technical report UCL-INMA-2017.02

DIAL entry: https://hdl.handle.net/2078.1/186413
25th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2017), pp. 305-310, 2017
Comparison of batch effect removal methods in the presence of correlation between outcome and batch: Emilie Renard, P.-A. Absil

Technical report UCL-INMA-2017.01
2017
Matrix geometric means based on shuffled inductive sequences: Estelle M. Massart, Julien M. Hendrickx, P.-A. Absil

Technical report UCL-INMA-2016.12

DIAL entry: https://hdl.handle.net/2078.1/185613
Linear Algebra and its Applications, 542, pp. 334-359, 2017 - doi:10.1016/j.laa.2017.05.036

2016

Independent component analysis to remove batch effects from merged microarray datasets: Emilie Renard, Samuel Branders, P.-A. Absil

Technical report UCL-INMA-2016.10

DIAL entry: https://hdl.handle.net/2078.1/174709
In Martin C. Frith, Christian Nørgaard Storm Pedersen (Eds.), Algorithms and Bioinformatics - 16th International Workshop, WABI 2016, Aarhus, Denmark, August 22-24, 2016. Proceedings, Lecture Notes in Bioinformatics, 9838, pp. 281-292, Springer, 2016 - doi:10.1007/978-3-319-43681-4_23
Intrinsic representation of tangent vectors and vector transport on matrix manifolds: Wen Huang, P.-A. Absil, Kyle A. Gallivan

Technical report UCL-INMA-2016.08

DIAL entry: https://hdl.handle.net/2078.1/179397
Numerische Mathematik, 136:2, pp. 523-543, 2016 - doi:10.1007/s00211-016-0848-4
Spatiotemporal ICA improves the selection of differentially expressed genes: Emilie Renard, Andrew E. Teschendorff, P.-A. Absil

Technical report UCL-INMA-2016.04

DIAL entry: https://hdl.handle.net/2078.1/172932
24th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2016), pp. 301-306, 2016
Extending a two-variable mean to a multi-variable mean: Estelle M. Massart, Julien M. Hendrickx, P.-A. Absil

Technical report UCL-INMA-2016.03

DIAL entry: https://hdl.handle.net/2078.1/171550
24th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2016), pp. 101-106, 2016
Coupled tensor decomposition: a step towards robust components: Matthieu Genicot, P.-A. Absil, Renaud Lambiotte, Saber Sami

Technical report UCL-INMA-2016.07

DIAL entry: https://hdl.handle.net/2078.1/195980
Proceedings of EUSIPCO 2016, pp. 1308-1312, 2016
Differentiable piecewise-Bézier interpolation on Riemannian manifolds: P.-A. Absil, Pierre-Yves Gousenbourger, Paul Striewski, Benedikt Wirth

Technical report UCL-INMA-2016.05

DIAL entry: https://hdl.handle.net/2078.1/186412
ESANN 2016 proceedings, European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, pp. 95-100, i6doc.com publ., 2016
A Riemannian limited-memory BFGS algorithm for computing the matrix geometric mean: Xinru Yuan, Wen Huang, P.-A. Absil, Kyle A. Gallivan

Technical report UCL-INMA-2015.12

DIAL entry: https://hdl.handle.net/2078.1/172845
Proceedings of the International Conference on Computational Science (ICCS), San Diego, California, USA, 6-8 June 2016, In Michelle Connolly (Ed.), International Conference on Computational Science 2016, ICCS 2016, 6-8 June 2016, San Diego, California, USA, Procedia Computer Science, 80, pp. 2147-2157, Elsevier, 2016 - doi:10.1016/j.procs.2016.05.534
A Riemannian BFGS method for nonconvex optimization problems: Wen Huang, P.-A. Absil, Kyle A. Gallivan

Technical report UCL-INMA-2015.11

DIAL entry: https://hdl.handle.net/2078.1/172931
In B. Karasözen, M. Manguoğlu, M. Tezer-Sezgin, S. Göktepe, Ö. Uğur (Eds.), Numerical Mathematics and Advanced Applications - ENUMATH 2015, Lecture Notes in Computational Sciences and Engineering, 112, pp. 627-634, Springer, 2016 - doi:10.1007/978-3-319-39929-4
Differentiable piecewise-Bézier surfaces on Riemannian manifolds: P.-A. Absil, Pierre-Yves Gousenbourger, Paul Striewski, Benedikt Wirth

Technical report UCL-INMA-2015.10

DIAL entry: https://hdl.handle.net/2078.1/176421
SIAM Journal on Imaging Sciences, 9:4, pp. 1788-1828, 2016 - doi:10.1137/16M1057978
Low-rank plus sparse decomposition for exoplanet detection in direct imaging ADI sequences: C. A. Gomez Gonzalez, O. Absil, P.-A. Absil, M. Van Droogenbroeck, D. Mawet, J. Surdej

DIAL entry: https://hdl.handle.net/2078.1/173691
Astronomy and Astrophysics, 589, 2016 - doi:10.1051/0004-6361/201527387
A Riemannian rank-adaptive method for low-rank optimization: Guifang Zhou, Wen Huang, Kyle Gallivan, Paul Van Dooren, P.-A. Absil

Technical report UCL-INMA-2015.05

DIAL entry: https://hdl.handle.net/2078.1/172844
Neurocomputing, 192, pp. 72-80, 2016 - doi:10.1016/j.neucom.2016.02.030
Robust low-rank matrix completion by Riemannian optimization: Léopold Cambier, P.-A. Absil

Technical report UCL-INMA-2015.04

DIAL entry: https://hdl.handle.net/2078.1/172843
SIAM Journal on Scientific Computing, 38:5, pp. S440-S460, 2016 - doi:10.1137/15M1025153

2015

Karcher mean in elastic shape analysis: Wen Huang, Yaqing You, Kyle A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2015.07

DIAL entry: https://hdl.handle.net/2078.1/164892
In H. Drira, S. Kurtek, P. Turaga (Eds.), Proceedings of the 1st International Workshop on DIFFerential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories (DIFF-CV 2015), pp. 2.1-2.11, BMVA Press, 2015 - doi:10.5244/C.29.DIFFCV.2
A Riemannian approach for computing geodesics in elastic shape analysis: Yaqing You, Wen Huang, Kyle A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2015.06

DIAL entry: https://hdl.handle.net/2078.1/172861
2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP), pp. 727-731, 2015 - doi:10.1109/GlobalSIP.2015.7418292
Fitting smooth paths on Riemannian manifolds: Endometrial surface reconstruction and preoperative MRI-based navigation: A. Arnould, P.-Y. Gousenbourger, C. Samir, P.-A. Absil, M. Canis

Technical report UCL-INMA-2015.03

DIAL entry: https://hdl.handle.net/2078.1/165811
GSI'15, In F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, pp. 491-498, Springer, 2015 - doi:10.1007/978-3-319-25040-3_53
Rank-constrained optimization: a Riemannian manifold approach: Guifang Zhou, Wen Huang, Kyle A. Gallivan, Paul Van Dooren, P.-A. Absil

Technical report UCL-INMA-2015.02

DIAL entry: https://hdl.handle.net/2078.1/155904
ESANN, pp. 249-254, 2015
Riemannian optimization for registration of curves in elastic shape analysis: Wen Huang, K. A. Gallivan, Anuj Srivastava, P.-A. Absil

Technical report UCL-INMA-2014.12

DIAL entry: https://hdl.handle.net/2078.1/165383
Journal of Mathematical Imaging and Vision, 54:3, pp. 320-343, 2015 - doi:10.1007/s10851-015-0606-8
A Broyden Class of Quasi-Newton Methods for Riemannian Optimization: Wen Huang, K. A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2014.01

DIAL entry: https://hdl.handle.net/2078.1/160460
SIAM Journal on Optimization, 25:3, pp. 1660-1685, 2015 - doi:10.1137/140955483

2014

Low-rank retractions: a survey and new results: P.-A. Absil, I. V. Oseledets

Technical report UCL-INMA-2013.04

DIAL entry: https://hdl.handle.net/2078.1/152310
Computational Optimization and Applications, 62:1, pp. 5-29, 2014 - doi:10.1007/s10589-014-9714-4
Piecewise-Bézier C1 interpolation on Riemannian manifolds with application to 2D shape morphing: Pierre-Yves Gousenbourger, Chafik Samir, P.-A. Absil

Technical report UCL-INMA-2014.10

DIAL entry: https://hdl.handle.net/2078.1/151947
Proceedings of 22nd International Conference on Pattern Recognition (ICPR), pp. 4086-4091, 2014 - doi:10.1109/ICPR.2014.700
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold: Nicolas Boumal, P.-A. Absil

Technical report UCL-INMA-2012.07

DIAL entry: https://hdl.handle.net/2078.1/157561
Linear Algebra and its Applications, 475, pp. 200-239, 2014 - doi:10.1016/j.laa.2015.02.027
Two Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries: P.-A. Absil, Luca Amodei, Gilles Meyer

Technical report UCL-INMA-2012.05

DIAL entry: https://hdl.handle.net/2078.1/133029
Computational Statistics, 29:3-4, pp. 569-590, 2014 - doi:10.1007/s00180-013-0441-6
Supervised normalization of large-scale omic datasets using blind source separation: Andrew E. Teschendorff, Emilie Renard, Pierre A. Absil

Technical report UCL-INMA-2013.05

DIAL entry: https://hdl.handle.net/2078.1/144607
In Ganesh R. Naik, Wenwu Wang (Eds.), Blind source separation, Signals and Communication Technology, pp. 465-497, Springer, 2014 - doi:10.1007/978-3-642-55016-4_17
Riemannian optimization for elastic shape analysis: Wen Huang, K. A. Gallivan, Anuj Srivastava, P.-A. Absil

Technical report UCL-INMA-2014.07

DIAL entry: https://hdl.handle.net/2078.1/143354
21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), pp. 784-791, 2014
Capturing confounding sources of variation in DNA methylation data by spatiotemporal independent component analysis: Emilie Renard, Andrew E. Teschendorff, P.-A. Absil

Technical report UCL-INMA-2014.06

DIAL entry: https://hdl.handle.net/2078.1/158594
22nd European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2014), pp. 195-200, 2014
Cramér-Rao bounds for synchronization of rotations: Nicolas Boumal, Amit Singer, P.-A. Absil, Vincent D. Blondel

Technical report UCL-INMA-2012.08

DIAL entry: https://hdl.handle.net/2078.1/135564
Information and Inference: A Journal of the IMA, 3:1, pp. 1-39, 2014 - doi:10.1093/imaiai/iat006
A convex formulation for informed source separation in the single channel setting: Augustin Lefèvre, François Glineur, P.-A. Absil

Technical report UCL-INMA-2014.05

DIAL entry: https://hdl.handle.net/2078.1/141270
Neurocomputing, 141, pp. 26-36, 2014 - doi:10.1016/j.neucom.2013.12.053
Two algorithms for orthogonal nonnegative matrix factorization with application to clustering: Filippo Pompili, Nicolas Gillis, P.-A. Absil, François Glineur

Technical report UCL-INMA-2014.03

DIAL entry: https://hdl.handle.net/2078.1/139493
Neurocomputing, 141, pp. 15-25, 2014 - doi:10.1016/j.neucom.2014.02.018
Manopt, a Matlab toolbox for optimization on manifolds: Nicolas Boumal, Bamdev Mishra, P.-A. Absil, Rodolphe Sepulchre

Technical report UCL-INMA-2014.02

DIAL entry: https://hdl.handle.net/2078.1/139492
Journal of Machine Learning Research, 15, pp. 1455-1459, 2014
A Riemannian symmetric rank-one trust-region method: Wen Huang, P.-A. Absil, K. A. Gallivan

Technical report UCL-INMA-2013.03

DIAL entry: https://hdl.handle.net/2078.1/139302
Mathematical Programming, Series A, 150:2, pp. 179-216, 2014 - doi:10.1007/s10107-014-0765-1
Addressing rank degeneracy in constraint-reduced interior-point methods for linear optimization: Luke B. Winternitz, André L. Tits, P.-A. Absil

Technical report UCL-INMA-2012.03

DIAL entry: https://hdl.handle.net/2078.1/127852
Journal of Optimization Theory and Applications, 160:1, pp. 127-157, 2014 - doi:10.1007/s10957-013-0323-7
A Riemannian subgradient algorithm for economic dispatch with valve-point effect: Pierre B. Borckmans, S. Easter Selvan, Nicolas Boumal, P.-A. Absil

Technical report UCL-INMA-2012.01

DIAL entry: https://hdl.handle.net/2078.1/131393
Journal of Computational and Applied Mathematics, 255, pp. 848-866, 2014 - doi:10.1016/j.cam.2013.07.002

2013

Fast community detection using local neighbourhood search: Arnaud Browet, P.-A. Absil, Paul Van Dooren
2013
A nuclear-norm based convex formulation for informed source separation: Augustin Lefèvre, François Glineur, P.-A. Absil

Technical report UCL-INMA-2012.10

DIAL entry: https://hdl.handle.net/2078.1/135588
Proceedings of the 21st European Symposium on Artificial Neural Networks (ESANN 2013), 2013
ONP-MF: An Orthogonal Nonnegative Matrix Factorization Algorithm with Application to Clustering: Filippo Pompili, Nicolas Gillis, François Glineur, P.-A. Absil

DIAL entry: https://hdl.handle.net/2078.1/135590
Proceedings of the 21st European Symposium on Artificial Neural Networks (ESANN 2013), 2013
Robust estimation of rotations from relative measurements by maximum likelihood: Nicolas Boumal, Amit Singer, P.-A. Absil

Technical report UCL-INMA-2013.02

DIAL entry: https://hdl.handle.net/2078.1/133030
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013 - doi:10.1109/CDC.2013.6760038
An extrinsic look at the Riemannian Hessian: P.-A. Absil, Robert Mahony, Jochen Trumpf

Technical report UCL-INMA-2013.01

DIAL entry: https://hdl.handle.net/2078.1/127864
In Frank Nielsen, Frédéric Barbaresco (Eds.), Geometric Science of Information, First International Conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings, Lecture Notes in Computer Science, 8085, pp. 361-368, Springer International Publishing, 2013 - doi:10.1007/978-3-642-40020-9_39
Spherical mesh adaptive direct search for separating quasi-uncorrelated sources by range-based independent component analysis: S. Easter Selvan, Pierre B. Borckmans, Amit Chattopadhyay, P.-A. Absil

Technical report UCL-INMA-2012.09

DIAL entry: https://hdl.handle.net/2078.1/125701
Neural Computation, 25:9, pp. 2486-2522, 2013 - doi:10.1162/NECO_a_00485
Jacobi algorithm for the best low multilinear rank approximation of symmetric tensors: Mariya Ishteva, P.-A. Absil, Paul Van Dooren

Technical report UCL-INMA-2011.011

DIAL entry: https://hdl.handle.net/2078.1/128410
SIAM Journal on Matrix Analysis and Applications, 34:2, pp. 651-672, 2013 - doi:10.1137/11085743X
A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank: Bart Vandereycken, P.-A. Absil, Stefan Vandewalle

Technical report UCL-INMA-2010.063

DIAL entry: https://hdl.handle.net/2078.1/107986
IMA Journal of Numerical Analysis, 33:2, pp. 481-514, 2013 - doi:10.1093/imanum/drs006
A differential-geometric look at the Jacobi-Davidson framework: P.-A. Absil, Michiel E. Hochstenbach

Technical report UCL-INMA-2012.02

DIAL entry: https://hdl.handle.net/2078.1/125008
In Knut Hüper, Jochen Trumpf (Eds.), Mathematical system theory - Festschrift in honor of Uwe Helmke on the occasion of his sixtieth birthday, pp. 11-22, CreateSpace, 2013
Iterative methods for low rank approximation of graph similarity matrices: T. P. Cason, P.-A. Absil, Paul Van Dooren

Technical report UCL-INMA-2010.106

DIAL entry: https://hdl.handle.net/2078.1/107589
Linear Algebra and its Applications, 438, pp. 1863-1882, 2013 - doi:10.1016/j.laa.2011.12.004

2012

Descent algorithms on oblique manifold for source-adaptive ICA contrast: Suviseshamuthu Easter Selvan, Umberto Amato, Kyle A. Gallivan, Chunhong Qi, Maria Francesca Carfora, Michele Larobina, Bruno Alfano
IEEE Transactions on Neural Networks and Learning Systems, 23:12, pp. 1930-1947, 2012 - doi:10.1109/TNNLS.2012.2218060
Projection-like retractions on matrix manifolds: P.-A. Absil, Jérôme Malick

Technical report UCL-INMA-2010.038

DIAL entry: https://hdl.handle.net/2078.1/106881
SIAM Journal on Optimization, 22:1, pp. 135-158, 2012 - doi:10.1137/100802529
A gradient-descent method for curve fitting on Riemannian manifolds: Chafik Samir, P.-A. Absil, Anuj Srivastava, Eric Klassen

Technical report UCL-INMA-2009.023

DIAL entry: https://hdl.handle.net/2078.1/106702
Foundations of Computational Mathematics, 12:1, pp. 49-73, 2012 - doi:10.1007/s10208-011-9091-7
A Riemannian Dennis-Moré condition: K. A. Gallivan, C. Qi, P.-A. Absil

Technical report UCL-INMA-2011.009

DIAL entry: https://hdl.handle.net/2078.1/106231
In Michael W. Berry, Kyle A. Gallivan, Efstratios Gallopoulos, Ananth Grama, Bernard Philippe, Yousef Saad, Faisal Saied (Eds.), High-Performance Scientific Computing - Algorithms and Applications, pp. 281-293, Springer-Verlag, 2012 - doi:10.1007/978-1-4471-2437-5_14

2011

Tucker compression and local optima: Mariya Ishteva, P.-A. Absil, Sabine Van Huffel, Lieven De Lathauwer

Technical report UCL-INMA-2010.012

DIAL entry: https://hdl.handle.net/2078.1/90610
Chemometrics and Intelligent Laboratory Systems, 106:1, pp. 57-64, 2011 - doi:10.1016/j.chemolab.2010.06.006
New relations between norms of system transfer functions: Tzvetan Ivanov, Brian D. O. Anderson, P.-A. Absil, Michel Gevers

Technical report UCL-INMA-2010.114

DIAL entry: https://hdl.handle.net/2078.1/77607
Systems & Control Letters, 60:3, pp. 151-155, 2011 - doi:10.1016/j.sysconle.2010.10.008
Comparing two matrices by means of isometric projections: T. P. Cason, P.-A. Absil, P. Van Dooren

Technical report UCL-INMA-2008.068

DIAL entry: https://hdl.handle.net/2078.1/80456
In Paul Van Dooren, Shankar P. Bhattacharyya, Raymond H. Chan, Vadim Olshevsky, Aurobinda Routray, P. Grohs (Eds.), Numerical Linear Algebra in Signals, Systems and Control (NLASSC-2007 edited volume), Lecture Notes in Electrical Engineering, 80, pp. 77-93, Springer, 2011 - doi:10.1007/978-94-007-0602-6_4
Best low multilinear rank approximation of higher-order tensors, based on the Riemannian trust-region scheme: Mariya Ishteva, P.-A. Absil, Sabine Van Huffel, Lieven De Lathauwer

Technical report UCL-INMA-2009.026

DIAL entry: https://hdl.handle.net/2078.1/74217
SIAM Journal on Matrix Analysis and Applications, 32:1, pp. 115-135, 2011 - doi:10.1137/090764827

2010

H2-Optimal model reduction with higher-order poles: Paul Van Dooren, Kyle A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2008.126

DIAL entry: https://hdl.handle.net/2078.1/79938
SIAM Journal on Matrix Analysis and Applications, 31:5, pp. 2738-2753, 2010 - doi:10.1137/080731591
Optimization on manifolds: methods and applications: P.-A. Absil, R. Mahony, R. Sepulchre

Technical report UCL-INMA-2009.043

DIAL entry: https://hdl.handle.net/2078.1/32039
In Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels (Eds.), Recent Advances in Optimization and its Applications in Engineering, pp. 125-144, Springer, 2010 - doi:10.1007/978-3-642-12598-0_12
On the best low multilinear rank approximation of higher-order tensors: Mariya Ishteva, P.-A. Absil, Sabine Van Huffel, Lieven De Lathauwer

Technical report UCL-INMA-2010.006

DIAL entry: https://hdl.handle.net/2078.1/90686
In Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels (Eds.), Recent Advances in Optimization and its Applications in Engineering, pp. 145-164, Springer, 2010 - doi:978-3-642-12598-0_13
Refining sparse principal components: Michel Journée, F. Bach, P.-A. Absil, R. Sepulchre

Technical report UCL-INMA-2010.057

DIAL entry: https://hdl.handle.net/2078.1/90687
In Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels (Eds.), Recent Advances in Optimization and its Applications in Engineering, pp. 165-171, Springer, 2010 - doi:10.1007/978-3-642-12598-0_14
Riemannian BFGS algorithm with applications: Chunhong Qi, Kyle A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2009.062

DIAL entry: https://hdl.handle.net/2078.1/91641
In Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels (Eds.), Recent Advances in Optimization and its Applications in Engineering, pp. 183-192, Springer, 2010 - doi:10.1007/978-3-642-12598-0_16
Identification method for time-varying ARX models: Quentin Rentmeesters, P.-A. Absil, Paul Van Dooren

Technical report UCL-INMA-2009.067

DIAL entry: https://hdl.handle.net/2078.1/91642
In Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels (Eds.), Recent Advances in Optimization and its Applications in Engineering, pp. 193-202, Springer, 2010 - doi:10.1007/978-3-642-12598-0_17
Acylated and unacylated ghrelin binding to membranes and to ghrelin receptor: Towards a better understanding of the underlying mechanisms: Edith Staes, et al

DIAL entry: https://hdl.handle.net/2078.1/32857
Biochimica et Biophysica Acta, 1798, pp. 2102-2113, 2010 - doi:10.1016/j.bbamem.2010.07.002
Low-rank optimization on the cone of positive semidefinite matrices: M. Journée, F. Bach, P.-A. Absil, R. Sepulchre

Technical report UCL-INMA-2008.127

DIAL entry: https://hdl.handle.net/2078.1/33576
SIAM Journal on Optimization, 20:5, pp. 2327-2351, 2010 - doi:10.1137/080731359
Two-sided Grassmann-Rayleigh quotient iteration: P.-A. Absil, Paul Van Dooren

Technical report UCL-INMA-2007.024

DIAL entry: https://hdl.handle.net/2078.1/90124
Numerische Mathematik, 114:4, pp. 549-571, 2010 - doi:10.1007/s00211-009-0266-y

2009

All roads lead to Newton: Feasible second-order methods for equality-constrained optimization: P.-A. Absil, Jochen Trumpf, Robert Mahony, Ben Andrews

Technical report UCL-INMA-2009.024
2009
A geometric Newton method for Oja's vector field: P.-A. Absil, M. Ishteva, L. De Lathauwer, S. Van Huffel

Technical report UCL-INMA-2008.013

DIAL entry: https://hdl.handle.net/2078.1/19703
Neural Computation, 21:5, pp. 1415-1433, 2009 - doi:10.1162/neco.2008.04-08-749
Accelerated line-search and trust-region methods: P.-A. Absil, K. A. Gallivan

Technical report UCL-INMA-2008.011

DIAL entry: https://hdl.handle.net/2078.1/35603
SIAM Journal on Numerical Analysis, 47:2, pp. 997-1018, 2009 - doi:10.1137/08072019X

2008

Differential-geometric Newton method for the best rank-(R1,R2,R3) approximation of tensors: Mariya Ishteva, Lieven De Lathauwer, P.-A. Absil, Sabine Van Huffel

Technical report UCL-INMA-2008.074

DIAL entry: https://hdl.handle.net/2078.1/35589
Numerical Algorithms, 51:2, pp. 179-194, 2008 - doi:10.1007/s11075-008-9251-2
Numerical representations of a universal subspace flow for linear programs: P.-A. Absil

Technical report UCL-INMA-2008.030

DIAL entry: https://hdl.handle.net/2078.1/104404
Communications in Information and Systems, 8:2, pp. 71-84, 2008
H2-optimal model reduction of MIMO systems: P. Van Dooren, K. A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2007.034

DIAL entry: https://hdl.handle.net/2078.1/79941
Applied Mathematics Letters, 21:12, pp. 1267-1273, 2008 - doi:10.1016/j.aml.2007.09.015
An implicit trust-region method on Riemannian manifolds: C. G. Baker, P.-A. Absil, K. A. Gallivan

Technical report UCL-INMA-2007.040

DIAL entry: https://hdl.handle.net/2078.1/36237
IMA Journal of Numerical Analysis, 28:4, pp. 665-689, 2008 - doi:10.1093/imanum/drn029
Continuous-time subspace flows related to the symmetric eigenvalue problem: P.-A. Absil, R. Sepulchre, R. Mahony

Technical report UCL-INMA-2007.032

DIAL entry: https://hdl.handle.net/2078.1/36415
Pacific Journal of Optimization, 4:2, pp. 179-194, 2008
Dimensionality reduction for higher-order tensors: algorithms and applications: Mariya Ishteva, Lieven De Lathauwer, P.-A. Absil, Sabine Van Huffel

Technical report UCL-INMA-2007.059

DIAL entry: https://hdl.handle.net/2078.1/104405
International Journal of Pure and Applied Mathematics, 42:3, pp. 337-343, 2008
Geometric optimization methods for the analysis of gene expression data: M. Journée, A. E. Teschendorff, P.-A. Absil, S. Tavaré, R. Sepulchre

Technical report UCL-INMA-2007.010

DIAL entry: https://hdl.handle.net/2078.1/104407
In A.N. Gorban, B. Kégl, D.C. Wunsch, A. Zinovyev (Eds.), Principal Manifolds for Data Visualization and Dimension Reduction, Lecture Notes in Computational Science and Engineering, 58, pp. 271-292, Springer, 2008 - doi:10.1007/978-3-540-73750-6_12

2007

Elucidating the Altered Transcriptional Programs in Breast Cancer using Independent Component Analysis: Andrew E. Teschendorff, Michel Journée, Pierre A. Absil, Rodolphe Sepulchre, Carlos Caldas

Technical report UCL-INMA-2007.007

DIAL entry: https://hdl.handle.net/2078.1/104406
PLoS Computational Biology, 3:8, pp. e161, 2007 - doi:10.1371/journal.pcbi.0030161
Trust-region methods on Riemannian manifolds: P.-A. Absil, C. G. Baker, K. A. Gallivan

Technical report UCL-INMA-2005.132

DIAL entry: https://hdl.handle.net/2078.1/37456
Foundations of Computational Mathematics, 7:3, pp. 303-330, 2007 - doi:10.1007/s10208-005-0179-9
Newton-KKT interior-point methods for indefinite quadratic programming: P.-A. Absil, A. L. Tits

Technical report UCL-INMA-2005.134

DIAL entry: https://hdl.handle.net/2078.1/37601
Computational Optimization and Applications, 36:1, pp. 5-41, 2007 - doi:10.1007/s10589-006-8717-1

2006

Continuous-time systems that solve computational problems: P.-A. Absil

Technical report UCL-INMA-2005.160

DIAL entry: https://hdl.handle.net/2078.1/104408
International Journal of Unconventional Computing, 2:4, pp. 291-304, 2006
On the stable equilibrium points of gradient systems: P.-A. Absil, K. Kurdyka

Technical report UCL-INMA-2005.137

DIAL entry: https://hdl.handle.net/2078.1/38453
Systems & Control Letters, 55:7, pp. 573-577, 2006 - doi:10.1016/j.sysconle.2006.01.002
A truncated-CG style method for symmetric generalized eigenvalue problems: P.-A. Absil, C. G. Baker, K. A. Gallivan

Technical report UCL-INMA-2005.135

DIAL entry: https://hdl.handle.net/2078.1/60077
Journal of Computational and Applied Mathematics, 189:1-2, pp. 274-285, 2006 - doi:10.1016/j.cam.2005.10.006
Constraint reduction for linear programs with many inequality constraints: André L. Tits, P.-A. Absil, William P. Woessner

Technical report UCL-INMA-2005.133

DIAL entry: https://hdl.handle.net/2078.1/104409
SIAM Journal on Optimization, 17:1, pp. 119-146, 2006 - doi:10.1137/050633421
On the largest principal angle between random subspaces: P.-A. Absil, A. Edelman, P. Koev

Technical report UCL-INMA-2005.136

DIAL entry: https://hdl.handle.net/2078.1/38590
Linear algebra and its applications, 414:1, pp. 288-294, 2006 - doi:10.1016/j.laa.2005.10.004

2005

Convergence of the Iterates of Descent Methods for Analytic Cost Functions: P.-A. Absil, R. Mahony, B. Andrews

Technical report UCL-INMA-2005.901

DIAL entry: https://hdl.handle.net/2078.1/38704
SIAM Journal on Optimization, 16:2, pp. 531-547, 2005 - doi:10.1137/040605266

2004

Well-posedness and regularity properties of the Grassmann-Rayleigh quotient iteration: P.-A. Absil, U. Helmke, K. Hüper

Technical report UCL-INMA-2004.904
2004
Cubically convergent iterations for invariant subspace computation: P.-A. Absil, R. Sepulchre, P. Van Dooren, R. Mahony

Technical report UCL-INMA-2004.903

DIAL entry: https://hdl.handle.net/2078.1/39658
SIAM Journal on Matrix Analysis and Applications, 26:1, pp. 70-96, 2004 - doi:10.1137/S0895479803422002
Continuous dynamical systems that realize discrete optimization on the hypercube: P.-A. Absil, R. Sepulchre,

Technical report UCL-INMA-2004.902
Systems & Control Letters, 52:3-4, pp. 297-304, 2004 - doi:10.1016/j.sysconle.2004.02.008
Riemannian geometry of Grassmann manifolds with a view on algorithmic computation: P.-A. Absil, R. Mahony, R. Sepulchre

Technical report UCL-INMA-2004.901
Acta Applicandae Mathematicae, 80:2, pp. 199-220, 2004 - doi:10.1023/B:ACAP.0000013855.14971.91

2003

The continuous-time Rayleigh quotient flow on the sphere: R. Mahony, P.-A. Absil,

Technical report UCL-INMA-2003.901
Linear Algebra and its Applications, 368C, pp. 343-357, 2003 - doi:10.1016/S0024-3795(02)00730-9

2002

A Grassmann-Rayleigh quotient iteration for computing invariant subspaces: P.-A. Absil, R. Mahony, R. Sepulchre, P. Van Dooren

Technical report UCL-INMA-2002.901
SIAM Review, 44:1, pp. 57-73, 2002 - doi:10.1137/S0036144500378648

2001

2000

Nonlinear analysis of cardiological signals towards clinical applications: P.-A. Absil

Technical report UCL-INMA-2000.901
Journal A, 41:4, pp. 14-16, 2000

1999

Nonlinear analysis of cardiac rhythm fluctuations using DFA method: P.-A. Absil, R. Sepulchre, A. Bilge, P. Gérard

Technical report UCL-INMA-1999.901
Physica A: Statistical Mechanics and its Applications, 272:1-2, pp. 235-244, 1999 - doi:10.1016/S0378-4371(99)00295-2

Conference papers before 2013

A multibody-based approach to the computation of spine intervertebral motions in scoliotic patients
Gabriel Abedrabbo, Pierre-Antoine Absil, et al.

DIAL entry: http://hdl.handle.net/2078.1/112454
9th National Congress on Theoretical and Applied Mechanics, Brussels, 9-10-11 May 2012
A multibody-based approach to the computation of spine intervertebral motions in scoliotic patients
Gabriel Abedrabbo, Pierre-Antoine Absil, Philippe Mahaudens, et al

DIAL entry: http://hdl.handle.net/2078.1/110092
Second Joint International Conference on Multibody System Dynamics (ISMD2012), Stuttgart, Germany, 29 Mai - 01 June 2012. http://www.itm.uni-stuttgart.de/imsd2012
Range-based non-orthogonal ICA using cross-entropy method
S. Easter Selvan, A. Chattopadhyay, U. Amato, P.-A. Absil

DIAL entry: http://hdl.handle.net/2078.1/107993
Proceedings of the 20th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2012), Bruges, Belgium, 25-27 April 2012, pp. 519-524, 2012.
RTRMC: A Riemannian trust-region method for low-rank matrix completion
Nicolas Boumal, P.-A. Absil

Technical report UCL-INMA-2011.010

DIAL entry: http://hdl.handle.net/2078.1/87419
Proceedings of the Twenty-Fifth Annual Conference on Neural Information Processing Systems (NIPS 2011), Grenada, Spain, 12-17 Dec 2011.
A gradient method for geodesic data fitting on some symmetric Riemannian manifolds
Quentin Rentmeesters

DIAL entry: http://hdl.handle.net/2078.1/109182
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), Orlando, Florida, 12-15 Dec 2011, pp. 7141 - 7146, 2011. doi:10.1109/CDC.2011.6161280
Community Detection for Hierarchical Image Segmentation
Arnaud Browet, P.-A. Absil, Paul Van Dooren

Technical report UCL-INMA-2010.062

DIAL entry: http://hdl.handle.net/2078.1/80542
Combinatorial Image Analysis, Lecture Notes in Computer Science, 2011, Volume 6636/2011, 358-371. doi:10.1007/978-3-642-21073-0_32
Algorithm comparison for Karcher mean computation of rotation matrices and diffusion tensors
Quentin Rentmeesters, P.-A. Absil

Technical report UCL-INMA-2011.007

DIAL entry: http://hdl.handle.net/2078.1/93582
Proceedings of the 19th European Signal Processing Conference (EUSIPCO 2011), Barcelona, Spain, August 29 - September 2, 2011, pp. 2229-2233, 2011.
Discrete regression methods on the cone of positive-definite matrices
Nicolas Boumal, P.-A. Absil

Technical report UCL-INMA-2010.060

DIAL entry: http://hdl.handle.net/2078.1/90662
Proceedings of the 36th International Conference on Acoustics, Speech and Signal Processing, ICASSP 2011. doi:10.1109/ICASSP.2011.5947287
A discrete regression method on manifolds and its application to data on SO(n)
Nicolas Boumal, P.-A. Absil

Technical report UCL-INMA-2010.059

DIAL entry: http://hdl.handle.net/2078.1/91643
IFAC World Congress 2011. doi:10.3182/20110828-6-IT-1002.00542
Information inequality for estimation of transfer functions: main results
Tzvetan Ivanov, Brian D.O. Anderson, P.-A. Absil, Michel Gevers

Technical report UCL-INMA-2010.058

DIAL entry: http://hdl.handle.net/2078.1/91834
IFAC World Congress 2011. doi:10.3182/20110828-6-IT-1002.00806
An Efficient BFGS Algorithm for Riemannian Optimization
Chunhong Qi, Kyle A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2010.055

DIAL entry: http://hdl.handle.net/2078.1/91850
Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), July 5-9, 2010, Budapest, Hungary, pp. 2221-2227, 2010.
A filtering technique on the Grassmann manifold
Quentin Rentmeesters, P.-A. Absil, Paul Van Dooren

Technical report UCL-INMA-2010.035

DIAL entry: http://hdl.handle.net/2078.1/80546 (pending: affiliations)
19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), July 5-9, 2010, Budapest, Hungary, pp. 2427-2430, 2010.
A Unified Framework for Affine Graph Similarity
T. P. Cason, P.-A. Absil, P. Van Dooren

Technical report UCL-INMA-2010.036

DIAL entry: http://hdl.handle.net/2078.1/80544 (pending: affiliations)
19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), July 5-9, 2010, Budapest, Hungary, pp. 125-129, 2010.
The Information Inequality on Function Spaces given a Singular Information Matrix
Tzvetan Ivanov, Brian D.O. Anderson, P.-A. Absil, Michel Gevers

Technical report UCL-INMA-2010.081

DIAL entry: http://hdl.handle.net/2078.1/77987 (pending: get full access)
19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), July 5-9, 2010, Budapest, Hungary, pp. 43-50, 2010.
Local minima of the best low multilinear rank approximation of tensors
M. Ishteva, P.-A. Absil, S. Van Huffel, L. De Lathauwer

Technical report UCL-INMA-2010.028

DIAL entry: http://hdl.handle.net/2078.1/91866
19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), July 5-9, 2010, Budapest, Hungary, pp. 2145-2146, 2010.
Géométrie des matrices positives semi-définies de rang fixé : un peu de théorie et beaucoup d'applications
Rodolphe Sepulchre, Pierre-Antoine Absil, Silvère Bonnabel

Technical report UCL-INMA-2010.032

DIAL entry: http://hdl.handle.net/2078.1/91867
Sixième Conférence Internationale Francophone d'Automatique (CIFA 2010), Nancy, France, 2-4 juin 2010
A Modified Particle Swarm Optimization Algorithm for the Best Low Multilinear Rank Approximation of Higher-Order Tensors
Pierre B. Borckmans, Mariya Ishteva, P.-A. Absil

Technical report UCL-INMA-2010.013

DIAL entry: http://hdl.handle.net/2078.1/91868
Lecture Notes in Computer Science, Volume 6234/2010, pp. 13-23, 2010. doi:10.1007/978-3-642-15461-4_2
Fast Oriented Bounding Box Computation Using Particle Swarm Optimization
Pierre B. Borckmans, P.-A. Absil

Technical report UCL-INMA-2010.020

DIAL entry: http://hdl.handle.net/2078.1/91872
Proceedings of the 18th European Symposium on Artificial Neural Networks (ESANN), 2010
An efficient particle filtering technique on the Grassmann manifold
Quentin Rentmeesters, P.-A. Absil, Paul Van Dooren, Kyle Gallivan, Anuj Srivastava

Technical report UCL-INMA-2009.066

DIAL entry: http://hdl.handle.net/2078.1/67329
Proceedings of the 35th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2010), pp. 3838-3841, 2010. doi:10.1109/ICASSP.2010.5495828
Elastic morphing of 2D and 3D objects on a shape manifold
C. Samir, P. Van Dooren, D. Laurent, K. A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2008.228

DIAL entry: http://hdl.handle.net/2078.1/80562
Proceedings of the 6th International Conference, ICIAR 2009, Halifax, Canada, July 6-8, 2009
Lecture Notes in Computer Science, Volume 5627/2009, pp. 563-572, 2009. doi:10.1007/978-3-642-02611-9_56
Iterative Methods for Low Rank Approximation of Graph Similarity Matrices
T. P. Cason, P.-A. Absil, P. Van Dooren

Technical report UCL-INMA-2009.087

DIAL entry: http://hdl.handle.net/2078.1/80558
7th International Workshop on Mining and Learning with Graphs, Leuven, Belgium, July 2-4, 2009
Fitting Curves on Riemannian Manifolds Using Energy Minimization
Chafik Samir, P.-A. Absil, Anuj Srivastava, Eric Klassen

Technical report UCL-INMA-2009.025

DIAL entry: http://hdl.handle.net/2078.1/104410
MVA2009 IAPR Conference on Machine Vision Applications, May 20-22, 2009, Yokohama, Japan
See full paper
Embedded geometry of the set of symmetric positive semidefinite matrices of fixed rank
Bart Vandereycken, P.-A. Absil, Stefan Vandewalle

Technical report UCL-INMA-2009.014

DIAL entry: http://hdl.handle.net/2078.1/104411
Proceeding of the 15th Workshop on Statistical Signal Processing (SSP '09), pp. 389-392, 2009. doi:10.1109/SSP.2009.5278558
Gene expression data analysis using spatiotemporal blind source separation
Matthieu Sainlez, P.-A. Absil, Andrew E. Teschendorff

Technical report UCL-INMA-2008.171

DIAL entry: http://hdl.handle.net/2078.1/104412
Proceedings of the 17th European Symposium on Artificial Neural Networks (ESANN), pp. 159-164, 2009.
Soft dimension reduction for ICA by joint diagonalization on the Stiefel manifold
Fabian J. Theis, Thomas P. Cason, P.-A. Absil

Technical report UCL-INMA-2008.155

DIAL entry: http://hdl.handle.net/2078.1/104413
8th International Conference, ICA 2009, Paraty, Brazil, 15-18 Dec 2009
Independent Component Analysis and Signal Separation, Lecture Notes in Computer Science, 5441, pp. 354-361, 2009.
Using H2 norm to bound H-infinity norm from above on Real Rational Modules
Tzvetan Ivanov, Brian D. O. Anderson, P.-A. Absil, Michel Gevers

Technical report UCL-INMA-2009.031

DIAL entry: http://hdl.handle.net/2078.1/104414
Proceedings of the European Control Conference 2009, pp. 2259-2264, 2009.
The best rank-(R1,R2,R3) approximation of tensors by means of a geometric Newton method
Mariya Ishteva, Lieven De Lathauwer, P.-A. Absil, Sabine Van Huffel

Technical report UCL-INMA-2008.075

DIAL entry: http://hdl.handle.net/2078.1/104415
Internal Report 08-115, ESAT-SISTA, K.U.Leuven (Leuven, Belgium), 2008
Proceedings of Sixth (6th) International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2008).
Application of real rational modules in system identification
T. Ivanov, P.-A. Absil, B. D. O. Anderson, M. Gevers

Technical report UCL-INMA-2008.026

DIAL entry: http://hdl.handle.net/2078.1/67692
Proceedings of the 47th IEEE Conference on Decision and Control (CDC 2008), pp. 111-116, 2008
Design of continuous-time flows on intertwined orbit spaces
P.-A. Absil, C. Lageman, J. H. Manton

DIAL entry: ttp://hdl.handle.net/2078.1/104417
Proceedings of the 46th IEEE Conference on Decision and Control (CDC 2007), pp. 6244-6249, 2007.
Optimization on the Orthogonal Group for Independent Component Analysis
Michel Journée, Pierre-Antoine Absil, Rodolphe Sepulchre

Technical report UCL-INMA-2007.058

DIAL entry: http://hdl.handle.net/2078.1/104420
Independent Component Analysis and Signal Separation
7th International Conference, ICA 2007, London, UK, September 9-12, 2007. Proceedings
Lecture Notes in Computer Science, 4666, pp. 57-64, 2007.
Geometric optimization methods for independent component analysis applied on gene expression data
M. Journée, A. E. Teschendorff, P.-A. Absil, R. Sepulchre

Technical report UCL-INMA-2008.076

DIAL entry: http://hdl.handle.net/2078.1/104421
Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, 2007 (ICASSP 2007), pp. IV 1413-1416, 2007. doi:10.1109/ICASSP.2007.367344
An implicit Riemannian trust-region method for the symmetric generalized eigenproblem
C. G. Baker, P.-A. Absil, K. A. Gallivan

Technical report UCL-INMA-2005.159

DIAL entry: http://hdl.handle.net/2078.1/59994
Computational Science -- ICCS 2006 -- 6th International Conference, Reading, UK, May 28-31, 2006, Proceedings, Part I
Lecture Notes in Computer Science, 3991, pp. 210-217, 29 April 2006.
Joint diagonalization on the oblique manifold for independent component analysis
P.-A. Absil, K. A. Gallivan

Technical report UCL-INMA-2005.139

DIAL entry: http://hdl.handle.net/2078.1/104425
Proceedings of the 2006 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006), pp. V-945 - V-948, May 2006. doi:10.1109/ICASSP.2006.1661433
Adaptive model trust region methods for generalized eigenvalue problems
P.-A. Absil, C. G. Baker, K. A. Gallivan, A. Sameh

DIAL entry: http://hdl.handle.net/2078.1/104428
Computational Science -- ICCS 2005 -- 5th International Conference, Atlanta, GA, USA, May 22-25, 2005. Proceedings, Part I
Lecture Notes in Computer Science, 3514, pp. 33-41, 20 April 2005.
Trust-region methods on Riemannian manifolds with applications in numerical linear algebra
P.-A. Absil, C. G. Baker, K. A. Gallivan
Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Katholieke Universiteit Leuven, Belgium (2004).
Continuous-time flows on quotient spaces for principal component analysis
P.-A. Absil
Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Katholieke Universiteit Leuven, Belgium (2004).
Generalized shifted inverse iterations on Grassmann manifolds
J. Jordan, P.-A. Absil, R. Sepulchre
Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Katholieke Universiteit Leuven, Belgium (2004).
A Newton algorithm for invariant subspace computation with large basins of attraction
P.-A. Absil, R. Sepulchre, P. Van Dooren and R. Mahony
Proceedings of the 42nd IEEE Conference on Decision and Control, December 9-12, 2003, Hyatt Regency Maui, Hawaii, USA, pp. 2352-2357, December 2003.
The continuous-time Rayleigh quotient flow on the Grassmann manifold
P.-A. Absil, R. Mahony, R. Sepulchre.
Proceedings of MTNS, University of Notre Dame, August 12-16 (2002)
A Grassmann-Rayleigh quotient iteration for computing invariant subspaces
P.-A. Absil, R. Mahony, R. Sepulchre, P. Van Dooren
Proceedings of the 39th IEEE Conference on Decision and Control (CDC), Sydney (2000).
A hybrid control scheme for swing-up acrobatics
P.-A. Absil, R. Sepulchre
Proceedings of the European Conference on Control ECC 2001, Porto, Portugal, September 4-7 (2001).
Gradient flows for discrete optimization on the hypercube
P.-A. Absil, R. Sepulchre
Fourteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), 2000.
Sleep apnea syndrome diagnosis by analysis of the cardiac interbeat RR time series
P.-A. Absil, R. Sepulchre, A. Bilge, R. Poirrier.
Proceedings of the International Workshop on Advanced Black-Box Techniques for Nonlinear Modeling, Katholieke Universiteit Leuven, Belgium (1998).

Selected abstracts

Primal-dual interior-point algorithms for linear programs with many inequality constraints
Luke B. Winternitz, P.-A. Absil

Technical report UCL-INMA-2010.056

DIAL entry: http://hdl.handle.net/2078.1/91877
Book of abstracts of the 2nd IMA Conference on Numerical Linear Algebra and Optimisation, Birmingham, 13-15 September 2010.
Review of Similarity Matrices and Application to Subgraph Matching
T. P. Cason, P.-A. Absil, P. Van Dooren

Technical report UCL-INMA-2010.017

DIAL entry: http://hdl.handle.net/2078.1/91878
Hans Stigter and Gjerrit Meinsma (eds.), Book of Abstracts of the 29th Benelux Meeting on Systems and Control, Heeze, The Netherlands, ISBN 970-90-8585-672-6, 2010, p 109
Image segmentation and real-time video tracking using graph based techniques
Arnaud Browet, Paul Van Dooren, P.-A. Absil

Technical report UCL-INMA-10.018

DIAL entry: http://hdl.handle.net/2078.1/91879
Benelux Meeting 2010, p 101
The Information Inequality on Function Spaces
Tzvetan Ivanov, Michel Gevers, P.-A. Absil, Brian D.O. Anderson

DIAL entry: http://hdl.handle.net/2078.1/91880
Benelux Meeting 2010, p 52
Fast Oriented Bounding Box Computation Using Particle Swarm Optimization
P. Borckmans, P.-A. Absil

DIAL entry: http://hdl.handle.net/2078.1/91881
Benelux Meeting 2010, p 34
Tensor- versus matrix-based algorithms in exponential data fitting
Mariya Ishteva, P.-A. Absil, Sabine Van Huffel, Lieven De Lathauwer

Technical report UCL-INMA-2010.021

DIAL entry: http://hdl.handle.net/2078.1/91882
Benelux Meeting 2010, p 37
A filtering technique on the Grassmann manifold
Q. Rentmeesters, P.-A. Absil, P. Van Dooren

Technical report UCL-INMA-2010.022

DIAL entry: http://hdl.handle.net/2078.1/91883
Benelux Meeting 2010, p 178
Optimization on manifolds: methods and applications
P.-A. Absil

DIAL entry: http://hdl.handle.net/2078.1/105793
J. De Schutter, M. Diehl, F. Glineur, E. Jarlebring, Q. Louveaux, W. Michiels, I. Smets, J. Suykens, J. Swevers, J. Vandewalle, J. Van Impe, M. Verschuure (eds.), Book of Abstracts of the 14th Belgian-French-German Conference on Optimization (BFG'09), Leuven, ISBN 9789073802001, 2009, p 51
Fitting smooth curves on a Riemannian manifold
C. Samir, P.-A. Absil, A. Srivastava, E. Klassen

Technical report UCL-INMA-2009.083

DIAL entry: http://hdl.handle.net/2078.1/104429
BFG'09, p 55
The Riemannian BFGS algorithm with applications Chunhong Qi, K. A. Gallivan, P.-A. Absil

Technical report UCL-INMA-2009.084

DIAL entry: http://hdl.handle.net/2078.1/104430
BFG'09, p 57
Optimization on low-rank positive semidefinite matrices
M. Journée, F. Bach, P.-A. Absil, R. Sepulchre

Technical report UCL-INMA-2009.085

DIAL entry: http://hdl.handle.net/2078.1/104431
BFG'09, p 71
Identification method for time-varying ARX models
Q. Rentmeesters, P.-A. Absil, P. Van Dooren

Technical report UCL-INMA-2009.086

DIAL entry: http://hdl.handle.net/2078.1/80555 (correction to do: abstract only)
BFG'09, p 114

Software

Manopt: a Matlab toolbox for optimization on manifolds.
GenRTR: the Generic Riemannian Trust-Region package. GenRTR is a MATLAB package for the optimization of functions defined on Riemannian manifolds.