Pierre-Antoine Absil
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)
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
http://hdl.handle.net/2268/78592http://hdl.handle.net/2078.1/90687
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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).
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.
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 |