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Pierre-Antoine Absil
Professeur ordinaire

SST/EPL Louvain School of Engineering (EPL)

SST/EPL/MAP Commission de programme - Ingénieur civil en mathématiques appliquées (MAP)

SST/ICTM Institute of Information and Communication Technologies, Electronics and Applied Mathematics (ICTEAM)

SST/ICTM/INMA Pôle en ingénierie mathématique (INMA)

journalArticle

Bendokat, Thomas ; Zimmermann, Ralf ; Absil, Pierre-Antoine. A Grassmann manifold handbook: basic geometry and computational aspects. In: Advances in Computational Mathematics, Vol. 50, no.1 (2024). doi:10.1007/s10444-023-10090-8.

Si, Wutao ; Absil, Pierre-Antoine ; Huang, Wen ; Jiang, Rujun ; Vary, Simon. A Riemannian Proximal Newton Method. In: SIAM Journal on Optimization, Vol. 34, no.1, p. 654-681 (2023). doi:10.1137/23m1565097.

Daglayan Sevim, Hazan ; Vary, Simon ; Absil, O. ; Cantalloube, F. ; Christiaens, V. ; Gillis, N. ; Jacques, Laurent ; Leplat, Valentin ; Absil, Pierre-Antoine. An alternating minimization algorithm with trajectory for direct exoplanet detection : The AMAT algorithm. In: Astronomy & Astrophysics, Vol. 692, p. A126 (2024). doi:10.1051/0004-6361/202451242.

Ablin, Pierre ; Vary, Simon ; Gao, Bin ; Absil, Pierre-Antoine. Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints. In: Journal of Machine Learning Research, Vol. 25, no.389, p. 1-38 (2023). doi:10.48550/arXiv.2303.16510.

Absil, Pierre-Antoine ; Cojuhari, Irina ; Fiodorov, Ion ; Tits, André L.. Strong versions of impulsive controllability and sampled observability. In: Automatica, Vol. 169, p. 111865 (2024). doi:10.1016/j.automatica.2024.111865.

conferencePaper

Vary, Simon ; Ablin, Pierre ; Gao, Bin ; Absil, Pierre-Antoine. Optimization without Retraction on the Random Generalized Stiefel Manifold. 41st International Conference on Machine Learning (ICML 2024) (Messe Wien Exhibition Congress Center, Vienna, Austria, du 21/07/2024 au 27/07/2024). In: Proceedings of Machine Learning Research, Vol. 235, p. 49226-49248 (2024).

Loucheur, Benoît ; Absil, Pierre-Antoine ; Journée, Michel. Weather Data Imputation Using Graph-Based Low-Rank Matrix Completion with Variable Projection. BNAIC/BeNeLearn 2024 (Utrecht, du 18/11/2024 au 20/11/2024). In: Proceedings of BNAIC/BeNeLearn 2024, 2024. n/A, p. 1-16.

journalArticle

Olikier, Guillaume ; Absil, Pierre-Antoine. An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration. In: SIAM Journal on Matrix Analysis and Applications, Vol. 44, no.3, p. 1421-1435 (2023). doi:10.1137/22m1518256.

Vermeylen, Charlotte ; Olikier, Guillaume ; Absil, Pierre-Antoine ; Van Barel, Marc. Rank Estimation for Third-Order Tensor Completion in the Tensor-Train Format. In: Proceedings of the 31st European Signal Processing Conference (EUSIPCO 2023, , p. 965-969 (2023). doi:10.48550/arXiv.2309.15170.

conferencePaper

Daglayan Sevim, Hazan ; Vary, Simon ; Absil, Pierre-Antoine. An Alternating Minimization Algorithm with Trajectory for Direct Exoplanet Detection. ESANN 2023 - European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (Bruges (Belgium) and online, du 4/10/2023 au 6/10/2023). In: ESANN 2023 proceedings, 2023. N 978-2-87587-088-9. doi:10.14428/esann/2023.es2023-137.

Daglayan Sevim, Hazan ; Vary, Simon ; Leplat, Valentin ; Gillis, Nicolas ; Absil, Pierre-Antoine. Direct Exoplanet Detection Using L1 Norm Low-Rank Approximation. BNAIC/BeNeLearn 2023 (Delft, The Netherlands, du 08/11/2023 au 10/11/2023). In: Proceedings of BNAIC/BeNeLearn 2023, , p. 1-13 (2023). doi:10.48550/arXiv.2304.03619.

Loucheur, Benoît ; Absil, Pierre-Antoine ; Journée, Michel. Graph-Based Matrix Completion Applied to Weather Data. 31st European Signal Processing Conference (EUSIPCO 2023) (Helsinki, du 04/09/2023 au 08/09/2023). In: Proceedings of the 31st European Signal Processing Conference (EUSIPCO 2023), p. 1973-1977. In: arXiv, 2023. doi:10.48550/arXiv.2306.08627.

Daglayan Sevim, Hazan ; Vary, Simon ; Cantalloube, Faustine ; Absil, Pierre-Antoine ; Absil, Olivier. Likelihood ratio map for direct exoplanet detection. 2022 IEEE 5th International Conference on Image Processing Applications and Systems (IPAS) (Genova, Italy, du 5/12/2022 au 7/12/2022). In: 2022 IEEE 5th International Conference on Image Processing Applications and Systems (IPAS), IEEE, 2023. 978-1-6654-6220-4, p. 1-5. doi:10.1109/ipas55744.2022.10052997.

Vary, Simon ; Daglayan Sevim, Hazan ; Jacques, Laurent ; Absil, Pierre-Antoine. Low-Rank Plus Sparse Trajectory Decomposition for Direct Exoplanet Imaging. ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (Rhodes Island, Greece, du 4/6/2023 au 10/6/2023). In: "Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on", Vol. 1, no.1 (2023). doi:10.1109/icassp49357.2023.10096197.

journalArticle

de Borman, Aurélie ; Vespa, Simone ; El Tahry, Riëm ; Absil, Pierre-Antoine. Estimation of seizure onset zone from ictal scalp EEG using independent component analysis in extratemporal lobe epilepsy.. In: Journal of neural engineering, Vol. 19, no. 2, p. 026005 [1-14] (2022). doi:10.1088/1741-2552/ac55ad.

Olikier, Guillaume ; Absil, Pierre-Antoine. On the Continuity of the Tangent Cone to the Determinantal Variety. In: Set-Valued and Variational Analysis, Vol. 30, p. 769-788 (2022). doi:10.1007/s11228-022-00629-0.

Van Hoorebeeck, Loïc ; Absil, Pierre-Antoine ; Papavasiliou, Anthony. Solving non-convex economic dispatch with valve-point effects and losses with guaranteed accuracy. In: International Journal of Electrical Power & Energy Systems, Vol. 134, p. 107143 (2022). doi:10.1016/j.ijepes.2021.107143.

conferencePaper

Loucheur, Benoît ; Absil, Pierre-Antoine ; Journée, Michel. Gap filling in air temperature series by matrix completion methods. ESANN 2022, European Symposium on Artificial Neural Networks (Bruges, Belgium, du 05/10/2022 au 07/10/2022). In: 30th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, 2022. 978287587084-1, p. 369-375.

Gao, Bin ; Vary, Simon ; Ablin, Pierre ; Absil, Pierre-Antoine. Optimization flows landing on the Stiefel manifold. 25th IFAC Symposium on Mathematical Theory of Networks and Systems MTNS 2022 (Bayreuth, GERMANY, du 12/09/2022 au 16/09/2022). In: IFAC-PapersOnLine, Vol. 55, no.30, p. 25-30 (2022). doi:10.1016/j.ifacol.2022.11.023.

journalArticle

Gao, Bin ; Absil, Pierre-Antoine. A Riemannian rank-adaptive method for low-rank matrix completion. In: Computational Optimization and Applications, (2021). doi:10.1007/s10589-021-00328-w.

Berger, Guillaume ; Absil, Pierre-Antoine ; De Lathauwer, Lieven ; Jungers, Raphaël M. ; Van Barel, Marc. Equivalent polyadic decompositions of matrix multiplication tensors. In: Journal of Computational and Applied Mathematics, Vol. 406, p. 113941 (2022). doi:10.1016/j.cam.2021.113941.

Musolas, Antoni ; Massart, Estelle ; Hendrickx, Julien ; Absil, Pierre-Antoine ; Marzouk, Youssef. Low-rank multi-parametric covariance identification. In: BIT Numerical Mathematics, Vol. 62, p. 221-249 (2021). doi:10.1007/s10543-021-00867-y.

Marrinan, Tim ; Absil, Pierre-Antoine ; Gillis, Nicolas. On a minimum enclosing ball of a collection of linear subspaces. In: Linear Algebra and its Applications, Vol. 625, p. 248-278 (2021). doi:10.1016/j.laa.2021.05.006.

Gao, Bin ; Nguyen, Thanh Son ; Absil, Pierre-Antoine ; Stykel, Tatjana. Riemannian Optimization on the Symplectic Stiefel Manifold. In: SIAM Journal on Optimization, Vol. 31, no.2, p. 1546-1575 (2021). doi:10.1137/20m1348522.

Dong, Shuyu ; Absil, Pierre-Antoine ; Gallivan, K.A.. Riemannian gradient descent methods for graph-regularized matrix completion. In: Linear Algebra and its Applications, Vol. 623, p. 193-235 (2021). doi:10.1016/j.laa.2020.06.010.

Nguyen, Thanh Son ; Absil, Pierre-Antoine ; Gao, Bin ; Stykel, Tatjana. Symplectic eigenvalue problem via trace minimization and Riemannian optimization. In: SIAM Journal on Matrix Analysis and Applications, Vol. 42, no.4, p. 1732-1757 (2021). doi:10.1137/21m1390621.

conferencePaper

Gao, Bin ; Nguyen, Thanh Son ; Absil, Pierre-Antoine ; Stykel, Tatjana. Geometry of the Symplectic Stiefel Manifold Endowed with the Euclidean Metric. 5th International Conference, GSI 2021 (Paris, France, du 21/07/2021 au 23/07/2021). In: Lecture Notes in Computer Science : Geometric Science of Information, Springer International Publishing,2021, 2021. 978-3-030-80208-0, p. 789-796. doi:10.1007/978-3-030-80209-7_85.

journalArticle

Yuan, Xinru ; Huang, Wen ; Absil, Pierre-Antoine ; Gallivan, Kyle A.. Computing the matrix geometric mean: Riemannian versus Euclidean conditioning, implementation techniques, and a Riemannian BFGS method. In: Numerical Linear Algebra with Applications, Vol. 27, no.5, p. 2321 (2020). doi:10.1002/nla.2321.

Van Hoorebeeck, Loïc ; Absil, Pierre-Antoine ; Papavasiliou, Anthony. Global Solution of Economic Dispatch with Valve Point Effects and Transmission Constraints. In: Electric Power Systems Research, Vol. 189, p. 106786 (2020). doi:10.1016/j.epsr.2020.106786.

Berger, Guillaume ; Absil, Pierre-Antoine ; Jungers, Raphaël M. ; Nesterov, Yurii. On the Quality of First-Order Approximation of Functions with Hölder Continuous Gradient. In: Journal of Optimization Theory and Applications, Vol. 185, p. 17-33 (2020). doi:10.1007/s10957-020-01632-x.

Massart, Estelle ; Absil, Pierre-Antoine. Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices. In: SIAM Journal on Matrix Analysis and Applications, Vol. 41, no.1, p. 171-198 (2020). doi:10.1137/18m1231389.

bookChapter

Absil, Pierre-Antoine ; Hosseini, S.. A Collection of Nonsmooth Riemannian Optimization Problems. In: Seyedehsomayeh Hosseini, Boris S. Mordukhovich, André Uschmajew (Eds.), International Series of Numerical Mathematics, Springer Nature: SWITZERLAND, 2019, p. 1-15. 9783658241605. doi:10.1007/978-3-030-11370-4_1.

Yuan, Xinru ; Huang, Wen ; Absil, Pierre-Antoine ; Gallivan, Kyle A.. Averaging Symmetric Positive-Definite Matrices. In: Grohs, Philipp ; Holler, Martin ; Weinmann, Andreas, Hanbook of Variational Methods for Nonlinear Geometric Data and applications, Springer handbooks, 2019, p. 555-575. 978-3-030-31350-0. doi:10.1007/978-3-030-31351-7_20.

conferencePaper

Massart, Estelle ; Hendrickx, Julien ; Absil, Pierre-Antoine. Curvature of the Manifold of Fixed-Rank Positive-Semidefinite Matrices Endowed with the Bures–Wasserstein Metric. 4th International Conference, GSI 2019 (Toulouse,France, du 27/08/2019 au 29/08/2019). In: Lecture Notes in Computer Science : Geometric Science of Information (Geometric Science of information), Frank Nielsen, Frédéric Barbaresco Eds., 2019. 9783030269791, p. 739-748. doi:10.1007/978-3-030-26980-7_77.

Massart, Estelle ; Gousenbourger, Pierre-Yves ; Nguyen, Thanh Son ; Stykel, Tatjana ; Absil, Pierre-Antoine. Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results. 27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning(ESANN 2019) (Bruges, du 24/04/2019 au 26/04/2019). In: ESANN 2019 Proceedings, 2019, p. 281-286.

Van Hoorebeeck, Loïc ; Absil, Pierre-Antoine ; Papavasiliou, Anthony. MILP-Based Algorithm for the Global Solution of Dynamic Economic Dispatch Problems with Valve-Point Effects. 2019 IEEE Power & Energy Society General Meeting (PESGM) (Atlanta, GA, USA, du 4/8/2019 au 8/8/2019). In: 2019 IEEE Power & Energy Society General Meeting (PESGM), IEEE, 2019. 9781728119816. doi:10.1109/pesgm40551.2019.8973631.

Renard, Emilie ; Absil, Pierre-Antoine ; Gallivan, Kyle A.. Minimax center to extract a common subspace from multiple datasets. 27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning(ESANN 2019) (Bruges, du 24/04/2019 au 26/04/2019). In: ESANN 2019 Proceedings, 2019. 978-287-587-065-0, p. 275-280.

Nguyen, Thanh Son ; Gousenbourger, Pierre-Yves ; Massart, Estelle ; Absil, Pierre-Antoine. Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold. 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT) (Paris, France, du 23/4/2019 au 26/4/2019). In: 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT), IEEE, 2019. 9781728105215, p. 165-170. doi:10.1109/codit.2019.8820675.

Dong, Shuyu ; Absil, Pierre-Antoine ; Gallivan, Kyle A.. Preconditioned conjugate gradient algorithms for graph regularized matrix completion. 27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning(ESANN 2019) (Bruges, du 24/04/2019 au 26/04/2019). In: ESANN 2019 Proceedings, 2019. 978-287-587-065-0, p. 239-244.

journalArticle

Huang, Wen ; Absil, Pierre-Antoine ; Gallivan, K. A.. A Riemannian BFGS Method Without Differentiated Retraction for Nonconvex Optimization Problems. In: SIAM Journal on Optimization, Vol. 28, no.1, p. 470-495 (2018). doi:10.1137/17m1127582.

Gousenbourger, Pierre-Yves ; Massart, Estelle ; Absil, Pierre-Antoine. Data Fitting on Manifolds with Composite Bézier-Like Curves and Blended Cubic Splines. In: Journal of Mathematical Imaging and Vision, Vol. 61, no. 5, p. 645-671 (2018). doi:10.1007/s10851-018-0865-2.

Boumal, Nicolas ; Absil, Pierre-Antoine ; Cartis, Coralia. Global rates of convergence for nonconvex optimization on manifolds. In: IMA Journal of Numerical Analysis, Vol. 39, no. 1, p. 1-33. doi:10.1093/imanum/drx080.

Huang, Wen ; Absil, Pierre-Antoine ; Gallivan, Kyle ; Hand, Paul. ROPTLIB: an object-oriented C++ library for optimization on Riemannian manifolds. In: ACM Transactions on Mathematical Software (TOMS), Vol. 44, no.4 (2018). doi:10.1145/3218822.

conferencePaper

Renard, Emilie ; Gallivan, Kyle A. ; Absil, Pierre-Antoine. A Grassmannian Minimum Enclosing Ball Approach for Common Subspace Extraction. LVA ICA 2018 (Guildford,UK, du 02/07/2018 au 06/07/2018). In: Latent Variable Analysis and Signal Separation : Lecture Notes in Computer Science, Springer International Publishing, 2018. 9783319937632, p. 69-78. doi:10.1007/978-3-319-93764-9_7.

Olikier, Guillaume ; Absil, Pierre-Antoine ; De lathauwer, Lieven. A variable projection method for block term decomposition of higher-order tensors. 26th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (Bruges, Belgium, du 25/04/2018 au 27/04/2018). In: ESANN 2018 Proceedings, 2018. 978-287587047-6.

Gousenbourger, Pierre-Yves ; Massart, Estelle ; Absil, Pierre-Antoine. Blended smoothing splines on Riemannian manifolds. iTwist 2018 (Marseille, du 21/11/2018 au 23/11/2018).

Dong, Shuyu ; Absil, Pierre-Antoine ; Gallivan, Kyle. Graph learning for regularized low-rank matrix completion. 23rd International Symposium on Mathematical Theory of Networks and Systems (Hong Kong, du 16/07/2018 au 20/07/2018). In: MTNS 2018, , p. 460-467 (2018).

Absil, Pierre-Antoine ; Sluysmans, Benoit ; Stevens, Nicolas. MIQP-Based Algorithm for the Global Solution of Economic Dispatch Problems with Valve-Point Effects. 2018 Power Systems Computation Conference (PSCC) (Dublin, Ireland, du 11/6/2018 au 15/6/2018). In: 2018 Power Systems Computation Conference (PSCC), IEEE, 2018, p. 1-7. doi:10.23919/pscc.2018.8450877.

Olikier, Guillaume ; Absil, Pierre-Antoine ; De Lathauwer, Lieven. Variable Projection Applied to Block Term Decomposition of Higher-Order Tensors. LVA ICA 2018 (Guildford, UK, du 02/07/2018 au 06/07/2018). In: Latent Variable Analysis and Signal Separation : Lecture Notes in Computer Science, Springer International Publishing, 2018. 9783319937632, p. 139-148. doi:10.1007/978-3-319-93764-9_14.

journalArticle

Massart, Estelle ; Hendrickx, Julien ; Absil, Pierre-Antoine. Matrix geometric means based on shuffled inductive sequences. In: Linear Algebra and Its Applications, Vol. 252, p. 334-359 (2018). doi:10.1016/j.laa.2017.05.036.

Gomez Gonzalez, Carlos Alberto ; Wertz, Olivier ; Absil, Olivier ; Christiaens, Valentin ; Defrère, Denis ; Mawet, Dimitri ; Milli, Julien ; Absil, Pierre-Antoine ; Van Droogenbroeck, Marc ; Cantalloube, Faustine ; Hinz, Philip M. ; Skemer, Andrew J. ; Karlsson, Mikael ; Surdej, Jean. VIP: Vortex Image Processing Package for High-contrast Direct Imaging. In: The Astronomical Journal, Vol. 154, p. 7 (2017). doi:10.3847/1538-3881/aa73d7.

conferencePaper

Renard, Emilie ; Absil, Pierre-Antoine. Comparison of location-scale and matrix factorization batch effect removal methods on gene expression datasets. 2017 IEEE International Conference on Bioinformatics and Biomedicine (BIBM). In: 2017 IEEE International Conference on Bioinformatics and Biomedicine (BIBM), 2017. 978-1-5090-3050-7, p. 1511-1518.

Gousenbourger, Pierre-Yves ; Jacques, Laurent ; Absil, Pierre-Antoine. Fast Method to Fit a C1 Piecewise-Bézier Function to Manifold-Valued Data Points: How Suboptimal is the Curve Obtained on the Sphere S2?. Geometric Science of Information (Paris, du 07/11/2017 au 09/11/2017). In: Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science, Springer International, 2017. 978-3-319-68445-1. doi:10.1007/978-3-319-68445-1_69.

Dong, Shuyu ; Thanou, Dorina ; Absil, Pierre-Antoine ; Frossard, Pascal. Learning sparse models of diffusive graph signals. 25th European Symposium on Artificial Neural Networks (Bruges, Belgium, du 26/04/2017 au 28/04/2017). In: Computational Intelligence and Machine learning, 2017. 978-287587039-1, p. 251-256.

Gousenbourger, Pierre-Yves ; Massart, Estelle ; Musolas, Antoni ; Absil, Pierre-Antoine ; Hendrickx, Julien ; Jacques, Laurent ; Marzouk, Youssef. Piecewise-Bezier C1 smoothing on manifolds with application to wind field estimation. ESANN 2017, European Symposium on Artificial Neural Networks (Bruges (Belgium), du 26/04/2017 au 28/04/2017). In: 25th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2017), 2017. 978-287587039-1, 305-3010.

journalArticle

Zhou, Guifang ; Huang, Wen ; Gallivan, Kyle A. ; Van Dooren, Paul ; Absil, Pierre-Antoine. A Riemannian rank-adaptive method for low-rank optimization. In: Neurocomputing, Vol. 192, p. 72-80 (2016). doi:10.1016/j.neucom.2016.02.030.

Absil, Pierre-Antoine ; Gousenbourger, Pierre-Yves ; Striewski, Paul ; Wirth, Benedikt. Differentiable piecewise-Bézier surfaces on Riemannian manifolds. In: SIAM Journal on Imaging Sciences, Vol. 9, no. 4, p. 1788-1828 (2016). doi:10.1137/16M1057978.

Huang, Wen ; Absil, Pierre-Antoine ; Gallivan, Kyle A.. Intrinsic representation of tangent vectors and vector transport on matrix manifolds. In: Numerische Mathematik, Vol. 136, no. 2, p. 523-543 (27 october 2016). doi:10.1007/s00211-016-0848-4.

Gomez Gonzalez, Carlos ; Absil, Olivier ; Absil, Pierre-Antoine ; Van Droogenbroeck, Marc ; Mawet, Dimitri ; Surdej, Jean. Low-rank plus sparse decomposition for exoplanet detection in direct imaging ADI sequences. In: Astronomy & Astrophysics, Vol. 589 (May 2016). doi:10.1051/0004-6361/201527387.

Cambier, Léopold ; Absil, Pierre-Antoine. Robust low-rank matrix completion by Riemannian optimization. In: SIAM Journal on Scientific Computing, Vol. 38, no. 5, p. S440-S460 (2016). doi:10.1137/15M1025153.

conferencePaper

Huang, Wen ; Absil, Pierre-Antoine ; Gallivan, Kyle A.. A Riemannian BFGS method for nonconvex optimization problems. ENUMATH 2015 (Ankara, Turkey, September 14-18, 2015). In: Lecture Notes in Computational Science and Engineering, Vol. 112, p. 627-634 (2016). In: ENUMATH 2015 Proceedings, Springer: (Germany) Heidelberg, 2016. doi:10.1007/978-3-319-39929-4_60.

Yuan, Xinru ; Huang, Wen ; Absil, Pierre-Antoine ; Gallivan, Kyle A.. A Riemannian limited-memory BFGS algorithm for computing the matrix geometric mean. ICCS 2016 (San Diego, California, 6-8 June 2016). In: Proceedings of the International Conference on Computational Science, 2016. doi:10.1016/j.procs.2016.05.534.

Genicot, Matthieu ; Absil, Pierre-Antoine ; Lambiotte, Renaud ; Sami, Saber. Coupled tensor decomposition: A step towards robust components. 2016 24th European Signal Processing Conference (EUSIPCO) (Budapest, Hungary, du 29/8/2016 au 2/9/2016). In: 2016 24th European Signal Processing Conference (EUSIPCO), IEEE, 2016. 978-0-9928-6265-7, p. 1308-1312. doi:10.1109/eusipco.2016.7760460.

Absil, Pierre-Antoine ; Gousenbourger, Pierre-Yves ; Striewski, Paul ; Wirth, Benedikt. Differentiable piecewise-Bézier interpolation on Riemannian manifolds. ESANN 2016, European Symposium on Artificial Neural Networks (Bruges (Belgium), du 27/04/2016 au 29/04/2016). In: Proceedings of ESANN 2016, European Symposium on Artificial Neural Networks, 2016. 978-287587027-8.

Massart, Estelle ; Hendrickx, Julien ; Absil, Pierre-Antoine. Extending a two-variable mean to a multi-variable mean. ESANN 2016 (Bruges, Belgium, 26-28 April 2016). In: , 2016. 978-287587027-8.

Renard, Emilie ; Branders, Samuel ; Absil, Pierre-Antoine. Independent component analysis to remove batch effects from merged microarray datasets. WABI 2016 (Aarhus, Denmark, August 22-24, 2016). In: Lecture Notes in Computer Science, Vol. 9838, p. 281-292 (2016). doi:10.1007/978-3-319-43681-4_23.

Gousenbourger, Pierre-Yves ; Absil, Pierre-Antoine ; Wirth, Benedikt ; Jacques, Laurent. Interpolation on manifolds using Bézier functions. "International Traveling Workshop on Interactions Between Sparse Models and Technology" (Aalborg, Denmark, du 24/08/2016 au 26/08/2016). In: Proceedings of the third "international Traveling Workshop on Interactions between Sparse models and Technology" iTWIST'16, (24-26/08/2016).

Renard, Emilie ; Teschendorff, Andrew E. ; Absil, Pierre-Antoine. Spatiotemporal ICA improves the selection of differentially expressed genes. ESANN 2016 (Bruges, Belgium, 27-29 April 2016). In: Proceedings of the 24th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, 2016. 978-287587027-8, 301-306.

journalArticle

Huang, Wen ; Gallivan, Kyle A. ; Absil, Pierre-Antoine. A Broyden Class of Quasi-Newton Methods for Riemannian Optimization. In: SIAM Journal on Optimization, Vol. 25, no. 3, p. 1660-1685 (2015). doi:10.1137/140955483.

Boumal, Nicolas ; Absil, Pierre-Antoine. Low-rank matrix completion via preconditioned optimization on the Grassmann manifold. In: Linear Algebra and Its Applications, Vol. 475, p. 200-239 (June 2015). doi:10.1016/j.laa.2015.02.027.

Absil, Pierre-Antoine ; Oseledets, Ivan V.. Low-rank retractions: a survey and new results. In: Computational Optimization and Applications : an international journal, Vol. 62, no. 1, p. 5-29 (September 2015). doi:10.1007/s10589-014-9714-4.

Huang, Wen ; Gallivan, Kyle A. ; Srivastava, Anuj ; Absil, Pierre-Antoine. Riemannian Optimization for Registration of Curves in Elastic Shape Analysis. In: Journal of Mathematical Imaging and Vision, Vol. 54, no. 3, p. 320-343 (2016). doi:10.1007/s10851-015-0606-8.

conferencePaper

You, Yaqing ; Huang, Wen ; Gallivan, Kyle A. ; Absil, Pierre-Antoine. A Riemannian approach for computing geodesics in elastic shape analysis. GlobalSIP (Orlando, Florida, 14-16 December 2015). In: 2015 IEEE Global Conference on Signal and Information Processing, 2015, p. 727-731. doi:10.1109/GlobalSIP.2015.7418292.

Arnould, Antoine ; Gousenbourger, Pierre-Yves ; Samir, Chafik ; Absil, Pierre-Antoine ; Canis, Michel. Fitting Smooth Paths on Riemannian Manifolds: Endometrial Surface Reconstruction and Preoperative MRI-Based Navigation. GSI 2015 (Paris, Ecole Polytechnique, du 28/10/2015 au 30/10/2015). In: Geometric Science of Information: second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings (Image Processing, Computer Vision, Pattern Recognition, and Graphics; 9389), Springer, 2015. 978-3-319-25039-7. doi:10.1007/978-3-319-25040-3.

Huang, Wen ; You, Yaqing ; Gallivan, Kyle A. ; Absil, Pierre-Antoine. Karcher mean in elastic shape analysis. BMVC 2015 (Swansea, UK, 7-10 September 2015). In: Proceedings of the 1st International Workshop on DIFFerential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories (DIFF-CV 2015), BMVA Press, 2015, 2.1-2.11.

Zhou, Guifang ; Huang, Wen ; Gallivan, Kyle A. ; Van Dooren, Paul ; Absil, Pierre-Antoine. Rank-constrained Optimization: A Riemannian Manifold Approach. 23th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN) (Bruges, Belgium, April 2015).

journalArticle

Borckmans, Pierre ; Suviseshamuthu, Easter Selvan ; Boumal, Nicolas ; Absil, Pierre-Antoine. A Riemannian Subgradient Algorithm for Economic Dispatch with Valve-Point Effect. In: Journal of Computational and Applied Mathematics, Vol. 255, p. 848-866 (January 2014). doi:10.1016/j.cam.2013.07.002.

Huang, Wen ; Absil, Pierre-Antoine ; Gallivan, Kyle A.. A Riemannian symmetric rank-one trust-region method. In: Mathematical Programming, Vol. 150, no. 2, p. 179-2016 (2014). doi:10.1007/s10107-014-0765-1.

Lefèvre, Augustin ; Glineur, François ; Absil, Pierre-Antoine. A convex formulation for informed source separation in the single channel setting. In: Neurocomputing, no. 141, p. 26-36 (2014). doi:10.1016/j.neucom.2013.12.053.

Winternitz, Luke B. ; Tits, André L. ; Absil, Pierre-Antoine. Addressing rank degeneracy in constraint-reduced interior-point methods for linear optimization. In: Journal of Optimization Theory and Applications, Vol. 160, no. 1, p. 127-157 (2013). doi:10.1007/s10957-013-0323-7.

Boumal, Nicolas ; Singer, Amit ; Absil, Pierre-Antoine ; Blondel, Vincent. Cramér-Rao bounds for synchronization of rotations. In: Information and Inference: A Journal of the IMA, Vol. 3, no. 1, p. 1-39 (2013). doi:10.1093/imaiai/iat006.

Boumal, Nicolas ; Mishra, Bamdev ; Absil, Pierre-Antoine ; Sepulchre, Rodolphe. Manopt, a Matlab toolbox for optimization on manifolds. In: Journal of Machine Learning Research, Vol. 15, p. 1455-1459 (2014).

Boumal, Nicolas ; Sepulchre, Rodolphe ; Absil, Pierre-Antoine ; Mishra, Bamdev. Manopt, a matlab toolbox for optimization on manifolds. In: Journal of Machine Learning Research, Vol. 15, p. 1455-1459 (2014).

Absil, Pierre-Antoine ; Amodei, Luca ; Meyer, Gilles. Two Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries. In: Computational Statistics, Vol. 29, no. 3-4, p. 569-590 (2013). doi:10.1007/s00180-013-0441-6.

Pompili, Filippo ; Gillis, Nicolas ; Absil, Pierre-Antoine ; Glineur, François. Two algorithms for orthogonal nonnegative matrix factorization with application to clustering. In: Neurocomputing, no. 141, p. 15-25 (2014). doi:10.1016/j.neucom.2014.02.018.

bookChapter

Teschendorff, Andrew E. ; Renard, Emilie ; Absil, Pierre-Antoine. Supervised normalization of large-scale omic datasets using blind source separation. In: Ganesh R. Naik, Wenwu Wang (Eds.), Blind source separation (Signals and Communication Technology), Springer, 2014, p. 465-497. 978-3-642-55015-7. doi:10.1007/978-3-642-55016-4_17.

conferencePaper

Dorcimont, Charlotte ; Absil, Pierre-Antoine. Algorithms for the nearest correlation matrix problem with factor structure. Householder Symposium XIX (Spa, Belgium, du 8/06/2014 au 13/06/2014). In: Book of Abstracts of the Householder Symposium XIX on Numerical Linear Algebra, 2014, p. 7-8.

Renard, Emilie ; Teschendorff, Andrew E. ; Absil, Pierre-Antoine. Capturing confounding sources of variation in DNA methylation data by spatiotemporal independent component analysis. ESANN 2014 (Bruges, Belgium, April 2014). In: 22nd European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, 2014. 978-287419095-7.

Gousenbourger, Pierre-Yves ; Samir, Chafik ; Absil, Pierre-Antoine. Piecewise-Bézier C¹ interpolation on Riemannian manifolds with application to 2D shape morphing. ICPR2014 (Stockholm, du 25/08/2014 au 29/08/2014). doi:10.1109/ICPR.2014.700.

Huang, Wen ; Gallivan, Kyle, A. ; Srivastava, Anuj ; Absil, Pierre-Antoine. Riemannian Optimization for Elastic Shape Analysis. MTNS 2014 (Groningen, The Netherlands, du 07/07/2014 au 11/07/2014).

Absil, Olivier ; Mawet, Dimitri ; Delacroix, Christian ; Forsberg, Pontus ; Karlsson, Mikael ; Habraken, Serge ; Surdej, Jean ; Absil, Pierre-Antoine ; Carlomagno, Brunella ; Christiaens, Valentin ; Defrère, Denis ; Gomez Gonzalez, Carlos A. ; Huby, Elsa ; Jolivet, Aïssa ; Milli, Julien ; Piron, Pierre ; Vargas Catalan, Ernesto ; Van Droogenbroeck, Marc. The VORTEX project: first results and perspectives. SPIE Astronomical Telescopes and Instrumentation 2014 (Montréal, Quebec, Canada, du 22/06/2014 au 27/06/2014). In: Proceedings SPIE 9148: Adaptive Optics Systems IV, 2014. doi:10.1117/12.2055702.

journalArticle

Vandereycken, Bart ; Absil, Pierre-Antoine ; Vandewalle, Stefan. A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank. In: IMA Journal of Numerical Analysis, no. 33, p. 481-514 (2013). doi:10.1093/imanum/drs006.

Cason, Thomas ; Absil, Pierre-Antoine ; Van Dooren, Paul. Iterative Methods for Low Rank Approximation of Graph Similarity Matrices. In: Linear Algebra and Its Applications, Vol. 438, p. 1863-1882 (January 2013). doi:10.1016/j.laa.2011.12.004.

Ishteva, Mariya ; Absil, Pierre-Antoine ; Van Dooren, Paul. Jacobi algorithm for the best low multilinear rank approximation of symmetric tensors. In: SIAM Journal on Matrix Analysis and Applications, (2013) (Accepté/Sous presse).

Suviseshamuthu, Easter Selvan ; Borckmans, Pierre ; Absil, Pierre-Antoine ; Chattopadhyay, Amit. Spherical Mesh Adaptive Direct Search for Separating Quasi-uncorrelated Sources by Range-based Independent Component Analysis. In: Neural Computation, Vol. 25, no. 9, p. 2486-2522 (2013). doi:10.1162/NECO_a_00485.

bookChapter

Absil, Pierre-Antoine ; Hochstenbach, Michiel E.. A differential-geometric look at the Jacobi-Davidson framework. In: K. Huper, J. Trumpf (eds), Mathematical System Theory - Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday, CreateSpace, 2013, p. 11-22. 978-1470044008.

conferencePaper

Lefèvre, Augustin ; Glineur, François ; Absil, Pierre-Antoine. A nuclear-norm based convex formulation for informed source separation. ESANN 2013 (Bruges, Belgium, du 24/04/2013 au 26/04/2013). In: Proceedings of the 21st European Symposium on Artificial Neural Networks (ESANN 2013), 2013. 9782874190810, 101-106.

Absil, Pierre-Antoine ; Mahony, Robert ; Trumpf, Jochen. An extrinsic look at the Riemannian Hessian. Geometric Science of Information (GSI2013) (Paris, France, du 28/08/2013 au 30/08/2013), (2013). In: Geometric Science of Information (Lecture Notes in Computer Science; 8085), Springer: Berlin Heidelberg, 2013. 978-3-642-40019-3, 361-368. doi:10.1007/978-3-642-40020-9_39.

Pompili, Filippo ; Gillis, Nicolas ; Absil, Pierre-Antoine ; Glineur, François. ONP-MF: An Orthogonal Nonnegative Matrix Factorization Algorithm with Application to Clustering. ESANN 2013 (Bruges, Belgium, du 24/04/2013 au 26/04/2013). In: Proceedings of the 21st European Symposium on Artificial Neural Networks (ESANN 2013), 2013. 9782874190810, p. 297-302.

Boumal, Nicolas ; Singer, Amit ; Absil, Pierre-Antoine. Robust estimation of rotations from relative measurements by maximum likelihood. CDC'13 (Firenze, Italy, du 10/12/2013 au 13/12/2013). In: Proceedings of the 52nd IEEE Conference on Decision and Control, 2013. doi:10.1109/CDC.2013.6760038.

journalArticle

Samir, Chafik ; Absil, Pierre-Antoine ; Srivastava, A. ; Klassen, E.. A Gradient-Descent Method for Curve Fitting on Riemannian Manifolds. In: Foundations of Computational Mathematics, Vol. 12, no. 1, p. 49-73 (2012). doi:10.1007/s10208-011-9091-7.

Abedrabbo Ode, Gabriel ; Fisette, Paul ; Absil, Pierre-Antoine ; Mahaudens, Philippe ; Detrembleur, Christine ; Raison, Maxime ; Banse, Xavier ; Aubin, Carl-Eric ; Mousny, Maryline. A multibody-based approach to the computation of spine intervertebral motions in scoliotic patients.. In: Studies in Health Technology and Informatics, Vol. 176, p. 95-98 (2012).

Absil, Pierre-Antoine ; Malick, Jérôme. Projection-like retractions on matrix manifolds. In: SIAM Journal on Optimization, Vol. 22, no. 1, p. 135-158 (2012). doi:10.1137/100802529.

bookChapter

Gallivan, Kyle A. ; Qi, Chunhong ; Absil, Pierre-Antoine. A Riemannian Dennis-Moré condition. In: Michael W. Berry, Kyle A. Gallivan, Efstratios Gallopoulos, Ananth Grama, Bernard Philippe, Yousef Saad, Faisal Saied, High-Performance Scientific Computing - Algorithms and Applications, Springer-Verlag: London, 2012, p. 281-293. 978-1-4471-2436-8. doi:10.1007/978-1-4471-2437-5_14.

conferencePaper

Abedrabbo Ode, Gabriel ; Absil, Pierre-Antoine ; Mahaudens, Philippe ; Detrembleur, Christine ; Raison, Maxime ; Mousny, Maryline ; Fisette, Paul. A multibody-based approach to the computation of spine intervertebral motions in scoliotic patients. The 2nd Joint International Conference on Multibody System Dynamics (Stuttgart, Germany, du 29/05/2012 au 01/06/2012). doi:10.3233/978-1-61499-067-3-95.

Suviseshamuthu, Easter Selvan ; Chattopadhyay, Amit ; Amato, U. ; Absil, Pierre-Antoine. Range-based non-orthogonal ICA using cross-entropy method. European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2012) (Bruges, Belgium, du 25/04/2012 au 27/04/2012). In: Proceedings of the 20th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2012), 2012. 978-2-87419-047-6, 519-524.

Boumal, Nicolas ; Absil, Pierre-Antoine ; Singer, Amit. Riemannian algorithms and estimation bounds for synchronization of rotations. International symposium on mathematical programming (Berlin, du 19/08/2012 au 24/08/2012).

Boumal, Nicolas ; Singer, Amit ; Absil, Pierre-Antoine. Synchronization of rotations via Riemannian trust-regions. SIAM Conference on Applied Linear Algebra (SIAM/LA) (Valencia, Spain, du 18/06/2012 au 22/06/2012).

journalArticle

Ishteva, M. ; Absil, Pierre-Antoine ; Van Huffel, Sabine ; De Lathauwer, L.. Best low multilinear rank approximation of higher-order tensors, based on the Riemannian trust-region scheme. In: SIAM Journal on Matrix Analysis and Applications, Vol. 32, no. 1, p. 115-135 (2011). doi:10.1137/090764827.

Ivanov, Tzvetan ; Anderson, B.D.O. ; Absil, Pierre-Antoine ; Gevers, Michel. New relations between norms of system transfer functions. In: Systems & Control Letters, Vol. 60, no. 3, p. 151-155 (2011). doi:10.1016/j.sysconle.2010.10.008.

Ishteva, Mariya ; Absil, Pierre-Antoine ; Van Huffel, Sabine ; De Lathauwer, Lieven. Tucker compression and local optima. In: Chemometrics and intelligent laboratory systems, Vol. 106, no. 1, p. 57-64 (2011). doi:10.1016/j.chemolab.2010.06.006.

bookChapter

Samir, Chafik ; Absil, Pierre-Antoine ; Van Dooren, Paul. 2D and 3D Objects Morphing Using Shape Manifold Techniques. In: Yun Fu, Manifold Learning Theory and Application, CRC Press, 2011, p. 209-231. 978-1-4398-7109-6.

Cason, Thomas ; Absil, Pierre-Antoine ; Van Dooren, Paul. Comparing Two Matrices by Means of Isometric Projections. In: Van Dooren et al, Numerical Linear Algebra in Signals, Systems and Control (Lecture Notes in Electrical Engineering; 80), Springer Verlag, 2011, 77-93. 978-94-007-0602-6. doi:10.1007/978-94-007-0602-6_4.

conferencePaper

Boumal, Nicolas ; Absil, Pierre-Antoine. A discrete regression method on manifolds and its application to data on SO(n). 18th IFAC World Congress 2011 (Milano, Italy, August 2011). In: Proceedings of the IFAC World Congress, Vol. 18, p. 2284-2289. In: Proceedings of the 18th IFAC World Congress, 2011, 2011. 978-3-902661-93-7, 2284-2289. doi:10.3182/20110828-6-IT-1002.00542.

Rentmeesters, Quentin ; Absil, Pierre-Antoine. Algorithm comparison for Karcher mean computation of rotation matrices and diffusion tensors. 19th European Signal Processing Conference (Barcelona, Spain, du 29/08/2011 au 02/09/2011). In: EUSIPCO 2011: 19th European Signal Processing Conference, Vol. -, no. -, p. 2229-2233 (2011).

Browet, Arnaud ; Van Dooren, Paul ; Absil, Pierre-Antoine. Community Detection for Hierarchical Image Segmentation. International workshop on combinatorial image analysis (IWCIA 2011) (Madrid, Spain, 23-25 May 2011). doi:10.1007/978-3-642-21073-0_32.

Boumal, Nicolas ; Absil, Pierre-Antoine. Discrete curve fitting on manifolds. 30th Benelux Meeting on Systems and Control (Lommel, Belgique, du 15/03/2011 au 17/03/2011). In: Book of Abstracts 30th Benelux Meeting on Systems and Control, Universiteit Gent - Vakgroep Elektrische energie, Systemen en Automatisering: Gent (Belgium), 2011. 978-90-9026089-1, 138.

Boumal, Nicolas ; Absil, Pierre-Antoine. Discrete regression methods on the cone of positive-definite matrices. 2011 IEEE International Conference on Acoustics, Speech and SignalProcessing (ICASSP) (Prague, Czech Republic, 22-27 May 2011). In: 2011 IEEE International Conference on Acoustics, Speech and SignalProcessing (ICASSP) (Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing; 2011), IEEE: Piscataway, NJ, USA, 2011. 978-1-4577-0539-7, 4232-4235. doi:10.1109/ICASSP.2011.5947287.

Ivanov, Tzvetan ; Anderson, B.D.O. ; Absil, Pierre-Antoine ; Gevers, Michel. Information Inequality for Estimation of Transfer Functions: main results. 18th IFAC World Congress (Milano, Italy, August 2011). In: Proceedings of the 18th IFAC World Congress, 2011. 978-3-902661-93-7. doi:10.3182/20110828-6-IT-1002.00806.

Boumal, Nicolas ; Absil, Pierre-Antoine. RTRMC: A Riemannian trust-region method for low-rank matrix completion. Twenty-Fifth Annual Conference on Neural Information Processing Systems (NIPS 2011) (Grenade, Espagne, du 12/12/2011 au 17/12/2011). In: Advances in Neural Information Processing Systems 24, 2011, 406-414.

journalArticle

Staes, Edith ; Absil, Pierre-Antoine ; Lins, Laurence ; Brasseur, Robert ; Deleu, Magali ; Lecouturier, Nathalie ; Fievez, Virginie ; des Rieux, Anne ; Mingeot-Leclercq, Marie-Paule ; Raussens, Vincent ; Préat, Véronique. Acylated and unacylated ghrelin binding to membranes and to ghrelin receptor : towards a better understanding of the underlying mechanisms. In: BBA - Biomembranes, Vol. 1798, no. 11, p. 2102-2113 (2010). doi:10.1016/j.bbamem.2010.07.002.

Van Dooren, Paul ; Gallivan, Kyle ; Absil, Pierre-Antoine. H2-optimal model reduction with higher-order poles. In: SIAM Journal on Matrix Analysis and Applications, Vol. 31, no. 5, p. 2738 (2010). doi:10.1137/080731591.

Journée, Michel ; Bach, F. ; Absil, Pierre-Antoine ; Sepulchre, Rodolphe. Low-rank Optimization On the Cone of Positive Semidefinite Matrices. In: SIAM Journal on Optimization, Vol. 20, no. 5, p. 2327-2351 (2010). doi:10.1137/080731359.

Absil, Pierre-Antoine ; Van Dooren, Paul. Two-sided Grassmann-Rayleigh quotient iteration. In: Numerische Mathematik, Vol. 114, p. 549-571 (2010). doi:10.1007/s00211-009-0266-y.

bookChapter

Rentmeesters, Quentin ; Absil, Pierre-Antoine ; Van Dooren, Paul. Identification method for time-varying ARX models. In: Moritz Diehl Francois Glineur Elias Jarlebring Wim Michiels, Recent Advances in Optimization and its Applications in Engineering, Springer: Berlin Heidelberg, 2010, p. 193-202. 978-3-642-12597-3. doi:10.1007/978-3-642-12598-0_17.

Ishteva, Mariya ; Absil, Pierre-Antoine ; Van Huffel, Sabine ; De Lathauwer, L.. On the best low multilinear rank approximation of higher-order tensors. In: Moritz Diehl Francois Glineur Elias Jarlebring Wim Michiels, Recent Advances in Optimization and its Applications in Engineering, Springer: Berlin Heidelberg, 2010, p. 145-164. 978-3-642-12597-3. doi:10.1007/978-3-642-12598-0_13.

Absil, Pierre-Antoine ; Mahony, R. ; Sepulchre, Rodolphe. Optimization On Manifolds: Methods And Applications. In: Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels, Recent Advances in Optimization and its Applications in Engineering : The 14th Belgian-French-German Conference on Optimization, Springer: Berlin Heidelberg, 2010. 978-3-642-12597-3. doi:10.1007/978-3-642-12598-0_12.

Journée, M. ; Bach, F.H. ; Absil, Pierre-Antoine ; Sepulchre, Rodolphe. Refining Sparse Principal Components. In: Moritz Diehl Francois Glineur Elias Jarlebring Wim Michiels, Recent Advances in Optimization and its Applications in Engineering, Springer: Berlin Heidelberg, 2010, p. 165-171. 978-3-642-12597-3. doi:10.1007/978-3-642-12598-0_14.

Qi, Chunhong ; Gallivan, Kyle ; Absil, Pierre-Antoine. Riemannian BFGS algorithm with applications. In: Moritz Diehl Francois Glineur Elias Jarlebring Wim Michiels, Recent Advances in Optimization and its Applications in Engineering, Springer: Berlin Heidelberg, 2010, p. 183-192. 978-3-642-12597-3. doi:10.1007/978-3-642-12598-0_16.

conferencePaper

Borckmans, Pierre ; Ishteva, Mariya ; Absil, Pierre-Antoine. A Modified Particle Swarm Optimization Algorithm for the Best Low Multilinear Rank Approximation of Higher-Order Tensors. 7th International Conference, ANTS 2010 (Brussels, Belgium, du 08/09/2010 au 10/09/2010). In: Swarm Intelligence (Lecture Notes in Computer Science; 6234/2010), 2010. 978-3-642-15460-7, 13-23. doi:10.1007/978-3-642-15461-4_2.

Cason, Thomas ; Absil, Pierre-Antoine ; Blondel, Vincent ; Van Dooren, Paul. A Unified Framework for Affine Graph Similarity. 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010) (Budapest, Hungary, 5-9 July, 2010). In: 19th International Symposium on Mathematical Theory of Networks and Systems, 2010. 978-963-311-370-7, 125-129.

Rentmeesters, Quentin ; Absil, Pierre-Antoine ; Van Dooren, Paul. A filtering technique on the Grassmann manifold. 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010) (Budapest, Hungary, July 5-9, 2010). In: 19th International Symposium on Mathematical Theory of Networks and Systems, 2010. 978-963-311-370-7, 2145-2146.

Rentmeesters, Quentin ; Absil, Pierre-Antoine ; Van Dooren, Paul. A filtering technique on the Grassmann manifold (abstract). 29th Benelux Meeting on Systems and Control (Heeze, The Netherlands, du 30/03/2010 au 01/04/2010). In: Book of Abstracts of the 29th Benelux Meeting on Systems and Control, 2010, 178.

Qi, Chunhong ; Gallivan, Kyle ; Absil, Pierre-Antoine. An Efficient BFGS Algorithm for Riemannian Optimization. Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010) (Budapest, Hungary, 5-7 July, 2010). In: 19th International Symposium on Mathematical Theory of Networks and Systems, 2010. 978-963-311-370-7, 2221-2227.

Rentmeesters, Quentin ; Absil, Pierre-Antoine ; Van Dooren, Paul ; Gallivan, K. ; Srivastava, A.. An efficient particle filtering technique on the Grassmann manifold. 2010 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2010 (Dallas, TX, USA, 14-19 March 2010). In: 2010 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2010 (Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing; 2010), IEEE, 2010. 978-1-4244-4296-6, p. 3838-3841. doi:10.1109/ICASSP.2010.5495828.

Borckmans, Pierre ; Absil, Pierre-Antoine. Fast Oriented Bounding Box Computation Using Particle Swarm Optimization (abstract). 29th Benelux Meeting on Systems and Control (Heeze, The Netherlands, du 30/03/2010 au 01/04/2010). In: Book of Abstracts of the 29th Benelux Meeting on Systems and Control, 2010. 978-90-8585-672-6, 34.

Sepulchre, Rodolphe ; Absil, Pierre-Antoine ; Bonnabel, Silvère. Géométrie des matrices positives semi-définies de rang fixé : un peu de théorie et beaucoup d'applications. Sixième Conférence Internationale Francophone d'Automatique (CIFA 2010) (Nancy, France, 2-4 juin 2010).

Browet, Arnaud ; Van Dooren, Paul ; Absil, Pierre-Antoine. Image segmentation and real-time video tracking using graph based techniques (abstract). 29th Benelux Meeting on Systems and Control (Heeze, The Netherlands, du 30/03/2010 au 01/04/2010). In: Book of Abstracts of the 29th Benelux Meeting on Systems and Control, 2010. 978-90-8585-672-6, 101.

Ishteva, Mariya ; Absil, Pierre-Antoine ; Van Huffel, Sabine ; De Lathauwer, Lieven. Local minima of the best low multilinear rank approximation of tensors. 19th Mathematical Symposium on Mathematical Theory of Networks and Systems (Budapest, Hungary, du 05/07/2010 au 09/07/2010). In: 19th Mathematical Symposium on Mathematical Theory of Networks and Systems, 2010. 978-963-311-370-7, 2145-2146.

Winternitz, Luke B. ; Absil, Pierre-Antoine. Primal-dual interior-point algorithms for linear programs with many inequality constraints. Book of abstracts of the 2nd IMA Conference on Numerical Linear Algebra and Optimisation (Birmingham, UK, du 13/09/2010 au 15/09/2010).

Cason, Thomas ; Absil, Pierre-Antoine ; Van Dooren, Paul. Review of Similarity Matrices and Application to Subgraph Matching (abstract). 29th Benelux Meeting on Systems and Control (Heeze, The Netherlands, du 30/03/2010 au 01/04/2010). In: Book of Abstracts of the 29th Benelux Meeting on Systems and Control, 2010, 109.

Ishteva, Mariya ; Absil, Pierre-Antoine ; Van Huffel, Sabine ; De Lathauwer, L.. Tensor- versus matrix-based algorithms in exponential data fitting (abstract). 29th Benelux Meeting on Systems and Control (Heeze, The Netherlands, du 30/03/2010 au 01/04/2010). In: Book of Abstracts of the 29th Benelux Meeting on Systems and Control, 2010, p. 37.

Ivanov, Tzvetan ; Gevers, Michel ; Absil, Pierre-Antoine ; Anderson, Brian D.O.. The Information Inequality on Function Spaces (abstract). 29th Benelux Meeting on Systems and Control (Heeze, The Netherlands, du 30/03/2010 au 01/04/2010). In: Book of Abstracts of the 29th Benelux Meeting on Systems and Control, 2010, p. 52.

Ivanov, Tzvetan ; Absil, Pierre-Antoine ; Gevers, Michel. The information inequality for function spaces given a singular information matrix. CD-ROM Proc. of 19th International Symp. on Mathematical Theory of Networks and Systems (MTNS 2010) (Budapest, Hungary, July 2010).

journalArticle

Absil, Pierre-Antoine ; Gallivan, K. A.. Accelerated Line-search and Trust-region Methods. In: SIAM Journal on Numerical Analysis, Vol. 47, no. 2, p. 997-1018 (2009). doi:10.1137/08072019X.

Ishteva, Mariya ; De Lathauwer, Lieven ; Absil, Pierre-Antoine ; Van Huffel, Sabine. Differential-geometric Newton method for the best rank-(R (1), R (2), R (3)) approximation of tensors. In: Numerical Algorithms, Vol. 51, no. 2, p. 179-194 (2009). doi:10.1007/s11075-008-9251-2.

conferencePaper

Samir, Chafik ; Van Dooren, Paul ; Laurent, Damien ; Gallivan, Kyle ; Absil, Pierre-Antoine. Elastic Morphing of 2D and 3D Objects on a Shape Manifold. Image Analysis and Recognition - Proceedings of the 6th International Conference (ICIAR 2009) - Lecture Notes in Computer Science Vol. 5627/2009 (Halifax, Canada, du July 6 au July 8). In: , Springer Verlag: Berlin Heidelberg, 2009. doi:10.1007/978-3-642-02611-9.

Vandereycken, Bart ; Absil, Pierre-Antoine ; Vandewalle, Stefan. Embedded geometry of the set of symmetric positive semidefinite matrices of fixed rank. 15th Workshop on Statistical Signal Processing (SSP '09) (Cardiff, Wales, UK, du 31/08/2009 au 03/09/2009). In: Proceedings of the 15th Workshop on Statistical Signal Processing (SSP '09), 2009. 978-1-4244-2709-3, p. 389-392. doi:10.1109/SSP.2009.5278558.

Borckmans, Pierre ; Absil, Pierre-Antoine. Fast Oriented Bounding Box Computation Using Particle Swarm Optimization. European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2010) (Bruges, Belgium, 28-30 April).

Samir, Chafik ; Absil, Pierre-Antoine ; Srivastava, A. ; Klassen, E.. Fitting Curves on Riemannian Manifolds Using Energy Minimization. MVA2009 IAPR Conference on Machine Vision Applications (Yokohama, Japan, du 20/05/2009 au 22/05/2009). In: Proceedings of the eleventh IAPR Conference on Machine Vision Applications MVA2009, 2009. 978-4-901122-09-2, p. 422-425.

Samir, Chafik ; Absil, Pierre-Antoine ; Srivastava, A. ; Klassen, E.. Fitting smooth curves on a Riemannian manifold (abstract). Book of Abstracts of the 14th Belgian-French-German Conference on Optimization (Leuven, du 14/09/2009 au 18/09/2009). In: Book of Abstracts of the 14th Belgian-French-German Conference on Optimization (BFG'09), 2009. 978-90-73802-00-1, p. 55.

Sainlez, Matthieu ; Absil, Pierre-Antoine ; Teschendorff, A.E.. Gene expression data analysis using spatiotemporal blind source separation. 17th European Symposium on Artificial Neural Networks (ESANN) (Bruges, Belgium, 2009). In: ESANN 2009 proceedings, 2009. 2-930307-09-9, p. 159-164.

Journée, M. ; Bach, F.H. ; Absil, Pierre-Antoine ; Sepulchre, Rodolphe. Optimization on low-rank positive semidefinite matrices (abstract). 14th Belgian-French-German Conference on Optimization (Leuven, du 14/09/2009 au 18/09/2009). In: Book of Abstracts of the 14th Belgian-French-German Conference on Optimization (BFG'09), 2009. 978-90-73802-00-1, p. 71.

Absil, Pierre-Antoine. Optimization on manifolds: methods and applications (abstract). 14 th Belgian-French-German Conference on Optimization (Leuven, Belgium, du 14/09/2009 au 18/09/2009). In: 14 th Belgian-French-German Conference on Optimization - Book of Abstracts, Katholieke Universiteit Leuven - Departement Werktuigkunde: Heverlee, Belgium, 2009. 978-90-73802-00-1, p. 51.

Theis, Fabian J. ; Cason, Thomas ; Absil, Pierre-Antoine. Soft dimension reduction for ICA by joint diagonalization on the Stiefel manifold. 8th International Conference, ICA 2009 (Paraty, Brazil, du 15/03/2009 au 18/03/2009). In: Independent Component Analysis and Signal Separation (Lecture Notes in Computer Science; 5441), Springer-Verlag: Berlin Heidelberg, 2009. 978-3-642-00598-5, p. 354-361. doi:10.1007/978-3-642-00599-2_45.

Qi, Chunhong ; Gallivan, K.A. ; Absil, Pierre-Antoine. The Riemannian BFGS algorithm with applications (abstract). 14th Belgian-French-German Conference on Optimization (Leuven, du 14/09/2009 au 18/09/2009). In: Book of Abstracts of the 14th Belgian-French-German Conference on Optimization (BFG'09), 2009. 978-90-73802-00-1, p. 57.

Ivanov, Tzvetan ; Anderson, B.D.O. ; Absil, Pierre-Antoine ; Gevers, Michel. Using H2 norm to bound H-infinity norm from above on Real Rational Modules. European Control Conference 2009 (ECC2009) (Budapest, Hungary, du 23/08/2009 au 26/08/2009). In: Proceedings of the European Control Conference 2009, EUCA 2009, 2009. 978-963-311-369-1, p. 2259-2264.

journalArticle

Absil, Pierre-Antoine ; Ishteva, Mariya ; De Lathauwer, Lieven ; Van Huffel, Sabine. A Geometric Newton Method for Oja's Vector Field.. In: Neural computation, Vol. 21, no. 5, p. 1415-33 (2009). doi:10.1162/neco.2008.04-08-749.

Baker, C. G. ; Absil, Pierre-Antoine ; Gallivan, K. A.. An implicit trust-region method on Riemannian manifolds. In: IMA Journal of Numerical Analysis, Vol. 28, no. 4, p. 665-689 (2008). doi:10.1093/imanum/drn029.

Absil, Pierre-Antoine ; Sepulchre, Rodolphe ; Mahony, R.. Continuous-time subspace flows related to the symmetric eigenproblem. In: Pacific Journal of Optimization, Vol. 4, no. 2, p. 179-194 (2008).

Ishteva, Mariya ; De Lathauwer, Lieven ; Absil, Pierre-Antoine. Dimensionality reduction for higher-order tensors: algorithms and applications. In: International Journal of Pure and Applied Mathematics, Vol. 42, no. 3, p. 337-343 (2008).

Van Dooren, Paul ; Gallivan, Kyle ; Absil, Pierre-Antoine. H2-optimal model reduction of MIMO systems. In: Applied Mathematics Letters, Vol. 21, no. 12, p. 1267-1273 (2008). doi:10.1016/j.aml.2007.09.015.

Absil, Pierre-Antoine. Numerical representations of a universal subspace flow for linear programs. In: Communications in Information and Systems, Vol. 8, no. 2, p. 71-84 (2008). doi:10.4310/CIS.2008.v8.n2.a2.

conferencePaper

Ivanov, T. ; Absil, Pierre-Antoine ; Anderson, B. ; Gevers, Michel. Application of real rational modules in system identification. 2008 47th IEEE Conference on Decision and Control (Cancun, Mexico, 9-11 December 2008). In: 2008 47th IEEE Conference on Decision and Control, IEEE, 2008. 978-1-4244-3123-6, p. 111-116. doi:10.1109/CDC.2008.4738869.

Ishteva, M. ; De Lathauwer, L. ; Absil, Pierre-Antoine ; Van Huffel, Sabine. The best rank-(R1,R2,R3) approximation of tensors by means of a geometric Newton method. Proceedings of Sixth (6th) International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2008) (Psalidi, Kos, Greece, du 16/09/2008 au 20/09/2008). In: Numerical Analysis and Applied Mathematics (AIP Conference Proceedings; 1048), American Institute of Physics: Melville, New York, 2008. 978-0-7354-0576-9, p. 274-277. doi:10.1063/1.2990911.

journalArticle

Teschendorff, Andrew E. ; Journée, Michel ; Absil, Pierre-Antoine ; Sepulchre, Rodolphe ; Caldas, Carlos. Elucidating the Altered Transcriptional Programs in Breast Cancer using Independent Component Analysis. In: PLoS Computational Biology, Vol. 3, no. 8, p. e161 (2007). doi:10.1371/journal.pcbi.0030161.

Absil, Pierre-Antoine ; Tits, Andre L.. Newton-KKT interior-point methods for indefinite quadratic programming. In: Computational Optimization and Applications : an international journal, Vol. 36, no. 1, p. 5-41 (2007). doi:10.1007/s10589-006-8717-1.

Absil, Pierre-Antoine ; Baker, C. G. ; Gallivan, K. A.. Trust-region methods on Riemannian manifolds. In: Foundations of Computational Mathematics, Vol. 7, no. 3, p. 303-330 (2007). doi:10.1007/s10208-005-0179-9.

bookChapter

Journée, M. ; Teschendorff, A.E. ; Absil, Pierre-Antoine ; Tavaré, S. ; Sepulchre, Rodolphe. Geometric optimization methods for the analysis of gene expression data. In: eds. A. Gorban, B. Kegl, D. Winsch, A. Zinovyev,, Principal Manifolds for Data Visualisation and Dimension Reduction (Lecture Notes in Computational Science and Engineering; 58), Springer Berlin Heidelberg, 2007, p. 271-292. 978-3-540-73749-0. doi:10.1007/978-3-540-73750-6_12.

conferencePaper

Absil, Pierre-Antoine ; Lageman, C. ; Manton, J.H.. Design of continuous-time flows on intertwined orbit spaces. 46th IEEE Conference on Decision and Control (CDC 2007) (New Orleans, LA, USA, du 12/12/2007 au 14/12/2007). In: Proceedings of the 46th IEEE Conference on Decision and Control, IEEE, 2007. 978-1-4244-1497-0, p. 6244-6249. doi:10.1109/CDC.2007.4434712.

Journée, M. ; Teschendorff, A.E. ; Absil, Pierre-Antoine ; Sepulchre, Rodolphe. Geometric optimization methods for independent component analysis applied on gene expression data. 2007 International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2007) (Honolulu, Hawaii, USA, du 15/04/2007 au 20/04/2007). In: 2007 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2007. 1-4244-0727-3, p. IV-1413 - IV-1416. doi:10.1109/ICASSP.2007.367344.

Journée, M. ; Absil, Pierre-Antoine ; Sepulchre, Rodolphe. Optimization on the orthogonal group for independent component analysis. 7th International Conference, ICA 2007 (London, UK, du 09/09/2007 au 12/09/2007). In: Independent Component Analysis and Signal Separation (Lecture Notes in Computer Science; 4666), Springer-Verlag: Berlin Heidelberg, 2007. 978-3-540-74493-1, p. 57-64. doi:10.1007/978-3-540-74494-8.

journalArticle

Absil, Pierre-Antoine ; Baker, CG ; Gallivan, KA. A truncated-CG style method for symmetric generalized eigenvalue problems. In: Journal of Computational and Applied Mathematics, (2006).

Tits, André ; Absil, Pierre-Antoine ; Woessner, W.P.. Constraint reduction for linear programs with many inequality constraints. In: SIAM Journal on Optimization, Vol. 17, no. 1, p. 119 (2006). doi:10.1137/050633421.

Absil, Pierre-Antoine. Continuous-time systems that solve computational problems. In: International Journal of Unconventional Computing, Vol. 2, no. 4, p. 291-304 (2006).

Absil, Pierre-Antoine ; Edelman, A ; Koev, P. On the largest principal angle between random subspaces. In: Linear Algebra and Its Applications, Vol. 414, no. 1, p. 288-294 (2006). doi:10.1016/j.laa.2005.10.004.

Absil, Pierre-Antoine ; Kurdyka, K. On the stable equilibrium points of gradient systems. In: Systems & Control Letters, Vol. 55, no. 7, p. 573-577 (2006). doi:10.1016/j.sysconle.2006.01.002.

conferencePaper

Baker, C. G. ; Absil, Pierre-Antoine ; Gallivan, K. A.. An implicit Riemannian Trust-Region method for the symmetric generalized eigenproblem. 6th International Conference on Computational Science (ICCS 2006) (Reading(England), May 28-31, 2006). In: Lecture Notes in Computer Science, Vol. 3991, p. 210-217 (2006). In: Proceedings of the 6th International Conference on Computational Science (Lecture Notes in Computer Science; 3991), Springer-verlag Berlin: Berlin, 2006. 3-540-34379-2, 210-217. doi:10.1007/11758501_32.

Absil, Pierre-Antoine ; Gallivan, K.A.. Joint diagonalization on the oblique manifold for independent component analysis. 2006 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006) (Toulouse, France, du 14/05/2006 au 19/05/2006). In: Proceedings of the 2006 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006) (IEEE International Conference on Acoustics Speech and Signal Processing), IEEE, 2006. 1-4244-0469-X, p. V-945 - V-948. doi:10.1109/ICASSP.2006.1661433.

journalArticle

Absil, Pierre-Antoine ; Mahony, R. ; Andrews, B. Convergence of the iterates of descent methods for analytic cost functions. In: SIAM Journal on Optimization, Vol. 16, no. 2, p. 531-547 (2005). doi:10.1137/040605266.

conferencePaper

Absil, Pierre-Antoine ; Baker, C.G. ; Gallivan, K.A. ; Sameh, A.. Adaptive model trust region methods for generalized eigenvalue problems. ICCS 2005 (Atlanta, GA, USA, du 22/05/2005 au 25/05/2005). In: Computational Science - ICCS 2005 (Lecture Notes in Computer Science; 3514), 2005, p. 33-41. doi:10.1007/11428831_5.

journalArticle

Absil, Pierre-Antoine ; Sepulchre, Rodolphe ; Van Dooren, Paul ; Mahony, R.. Cubically convergent iterations for invariant subspace computation. In: SIAM Journal on Matrix Analysis and Applications, Vol. 26, no. 1, p. 70-96 (2004). doi:10.1137/S0895479803422002.

conferencePaper

Absil, Pierre-Antoine ; Sepulchre, Rodolphe ; Van Dooren, Paul ; Mahony, R.. A newton algorithm for invariant subspace computation with large basins of attraction. Conference on Decision and Control (CDC 2003) (Hawaii, USA, du December 9 au December 12).

journalArticle

Absil, Pierre-Antoine ; Mahony, R. ; Sepulchre, Rodolphe ; Van Dooren, Paul. A Grassmann-Rayleigh quotient iteration for computing invariant subspaces. In: SIAM Review, Vol. 44, no. 1, p. 57-73 (2002). doi:10.1137/S0036144500378648.

conferencePaper

Absil, Pierre-Antoine ; Mahony, R. ; Sepulchre, R. ; Van Dooren, Paul. A Grasmann-Rayleigh quotient iteration for computing invariant subspaces. 39th Conferece on Decision and Control, CDC (Sydney, du December 12 au December 15).

Learning units for 2024

Label Code
Analysis LINFO1111
Mathematical analysis : complements LINMA1315
Applied mathematics seminar LINMA2120
Numerical Analysis : Approximation, Interpolation, Integration LINMA2171
Analysis and control of distributed parameter systems LINMA2300
Project in mathematical engineering LINMA2360
Nonlinear dynamical systems LINMA2361
Scientific computing LINMA2710