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2020 – today
- 2024
[j52]Thomas Bendokat
, Ralf Zimmermann, Pierre-Antoine Absil:
A Grassmann manifold handbook: basic geometry and computational aspects. Adv. Comput. Math. 50(1): 6 (2024)- [j51]Thomas Bendokat, Ralf Zimmermann, Pierre-Antoine Absil:
Correction: A Grassmann manifold handbook: basic geometry and computational aspects. Adv. Comput. Math. 50(2): 20 (2024) - [j50]Wutao Si, Pierre-Antoine Absil, Wen Huang, Rujun Jiang, Simon Vary:
A Riemannian Proximal Newton Method. SIAM J. Optim. 34(1): 654-681 (2024) - [c59]Simon Vary, Pierre Ablin, Bin Gao, Pierre-Antoine Absil:
Optimization without Retraction on the Random Generalized Stiefel Manifold. ICML 2024 - [i23]Simon Vary, Pierre Ablin, Bin Gao, Pierre-Antoine Absil:
Optimization without Retraction on the Random Generalized Stiefel Manifold. CoRR abs/2405.01702 (2024) - [i22]Simon Mataigne, Pierre-Antoine Absil, Nina Miolane:
Bounds on the geodesic distances on the Stiefel manifold for a family of Riemannian metrics. CoRR abs/2408.07072 (2024) - [i21]Guillaume Olikier, Pierre-Antoine Absil:
Computing Bouligand stationary points efficiently in low-rank optimization. CoRR abs/2409.12298 (2024) - 2023
- [j49]Guillaume Olikier, Pierre-Antoine Absil:
An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration. SIAM J. Matrix Anal. Appl. 44(3): 1421-1435 (2023) - [c58]Hazan Daglayan, Simon Vary, Pierre-Antoine Absil:
An Alternating Minimization Algorithm with Trajectory for Direct Exoplanet Detection. ESANN 2023 - [c57]Charlotte Vermeylen, Guillaume Olikier, Pierre-Antoine Absil, Marc Van Barel:
Rank Estimation for Third-Order Tensor Completion in the Tensor-Train Format. EUSIPCO 2023: 965-969 - [c56]Benoît Loucheur, Pierre-Antoine Absil, Michel Journée:
Graph-Based Matrix Completion Applied to Weather Data. EUSIPCO 2023: 1973-1977 - [c55]Simon Vary, Hazan Daglayan, Laurent Jacques, Pierre-Antoine Absil:
Low-Rank Plus Sparse Trajectory Decomposition for Direct Exoplanet Imaging. ICASSP 2023: 1-5 - [i20]Guillaume Olikier, Kyle A. Gallivan, Pierre-Antoine Absil:
First-order optimization on stratified sets. CoRR abs/2303.16040 (2023) - [i19]Pierre Ablin, Simon Vary, Bin Gao, Pierre-Antoine Absil:
Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints. CoRR abs/2303.16510 (2023) - [i18]Benoît Loucheur, Pierre-Antoine Absil, Michel Journée:
Graph-Based Matrix Completion Applied to Weather Data. CoRR abs/2306.08627 (2023) - 2022
- [j48]Bin Gao, Pierre-Antoine Absil:
A Riemannian rank-adaptive method for low-rank matrix completion. Comput. Optim. Appl. 81(1): 67-90 (2022) - [j47]Guillaume O. Berger, Pierre-Antoine Absil, Lieven De Lathauwer, Raphaël M. Jungers, Marc Van Barel:
Equivalent polyadic decompositions of matrix multiplication tensors. J. Comput. Appl. Math. 406: 113941 (2022) - [c54]Benoît Loucheur, Pierre-Antoine Absil, Michel Journée:
Gap filling in air temperature series by matrix completion methods. ESANN 2022 - [c53]Hazan Daglayan, Simon Vary, Faustine Cantalloube, Pierre-Antoine Absil, Olivier Absil:
Likelihood ratio map for direct exoplanet detection. IPAS 2022: 1-5 - [i17]Guillaume Olikier, Kyle A. Gallivan, Pierre-Antoine Absil:
An apocalypse-free first-order low-rank optimization algorithm. CoRR abs/2201.03962 (2022) - [i16]Guillaume Olikier, Pierre-Antoine Absil:
On the continuity of the tangent cone to the determinantal variety. CoRR abs/2201.03979 (2022) - [i15]Guillaume Olikier, Kyle A. Gallivan, Pierre-Antoine Absil:
Comparison of an Apocalypse-Free and an Apocalypse-Prone First-Order Low-Rank Optimization Algorithm. CoRR abs/2202.09107 (2022) - [i14]Guillaume Olikier, Pierre-Antoine Absil:
An apocalypse-free first-order low-rank optimization algorithm with at most one rank reduction attempt per iteration. CoRR abs/2208.12051 (2022) - 2021
- [j46]Bin Gao, Nguyen Thanh Son, Pierre-Antoine Absil, Tatjana Stykel:
Riemannian Optimization on the Symplectic Stiefel Manifold. SIAM J. Optim. 31(2): 1546-1575 (2021) - [j45]Nguyen Thanh Son, Pierre-Antoine Absil, Bin Gao, Tatjana Stykel:
Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization. SIAM J. Matrix Anal. Appl. 42(4): 1732-1757 (2021) - [c52]Bin Gao, Nguyen Thanh Son, Pierre-Antoine Absil, Tatjana Stykel:
Geometry of the Symplectic Stiefel Manifold Endowed with the Euclidean Metric. GSI 2021: 789-796 - 2020
- [j44]Guillaume O. Berger, Pierre-Antoine Absil, Raphaël M. Jungers, Yurii E. Nesterov:
On the Quality of First-Order Approximation of Functions with Hölder Continuous Gradient. J. Optim. Theory Appl. 185(1): 17-33 (2020) - [j43]Xinru Yuan, Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan:
Computing the matrix geometric mean: Riemannian versus Euclidean conditioning, implementation techniques, and a Riemannian BFGS method. Numer. Linear Algebra Appl. 27(5) (2020) - [j42]Estelle M. Massart, Pierre-Antoine Absil:
Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices. SIAM J. Matrix Anal. Appl. 41(1): 171-198 (2020) - [i13]Timothy Marrinan, Pierre-Antoine Absil, Nicolas Gillis:
On a minimum enclosing ball of a collection of linear subspaces. CoRR abs/2003.12455 (2020) - [i12]Pierre-Antoine Absil, Ousmane Diao, Mouhamadou Diallo:
Assessment of COVID-19 hospitalization forecasts from a simplified SIR model. CoRR abs/2007.10492 (2020) - [i11]Yu Guan, Shuyu Dong, Pierre-Antoine Absil, François Glineur:
Alternating minimization algorithms for graph regularized tensor completion. CoRR abs/2008.12876 (2020) - [i10]Thomas Bendokat, Ralf Zimmermann, Pierre-Antoine Absil:
A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects. CoRR abs/2011.13699 (2020)
2010 – 2019
- 2019
- [j41]Pierre-Yves Gousenbourger, Estelle M. Massart, Pierre-Antoine Absil:
Data Fitting on Manifolds with Composite Bézier-Like Curves and Blended Cubic Splines. J. Math. Imaging Vis. 61(5): 645-671 (2019) - [c51]Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle M. Massart, Pierre-Antoine Absil:
Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold. CoDIT 2019: 165-170 - [c50]Shuyu Dong, Pierre-Antoine Absil, Kyle A. Gallivan:
Preconditioned conjugate gradient algorithms for graph regularized matrix completion. ESANN 2019 - [c49]Estelle M. Massart, Pierre-Yves Gousenbourger, Nguyen Thanh Son, Tatjana Stykel, Pierre-Antoine Absil:
Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results. ESANN 2019 - [c48]Emilie Renard, Pierre-Antoine Absil, Kyle A. Gallivan:
Minimax center to extract a common subspace from multiple datasets. ESANN 2019 - [c47]Estelle M. Massart, Julien M. Hendrickx, Pierre-Antoine Absil:
Curvature of the Manifold of Fixed-Rank Positive-Semidefinite Matrices Endowed with the Bures-Wasserstein Metric. GSI 2019: 739-748 - [i9]Guillaume O. Berger, Pierre-Antoine Absil, Lieven De Lathauwer, Raphaël M. Jungers, Marc Van Barel:
Equivalent Polyadic Decompositions of Matrix Multiplication Tensors. CoRR abs/1902.03950 (2019) - 2018
- [j40]Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan:
A Riemannian BFGS Method Without Differentiated Retraction for Nonconvex Optimization Problems. SIAM J. Optim. 28(1): 470-495 (2018) - [j39]Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan, Paul Hand:
ROPTLIB: An Object-Oriented C++ Library for Optimization on Riemannian Manifolds. ACM Trans. Math. Softw. 44(4): 43:1-43:21 (2018) - [c46]Guillaume Olikier, Pierre-Antoine Absil, Lieven De Lathauwer:
A variable projection method for block term decomposition of higher-order tensors. ESANN 2018 - [c45]Emilie Renard, Kyle A. Gallivan, Pierre-Antoine Absil:
A Grassmannian Minimum Enclosing Ball Approach for Common Subspace Extraction. LVA/ICA 2018: 69-78 - [c44]Guillaume Olikier, Pierre-Antoine Absil, Lieven De Lathauwer:
Variable Projection Applied to Block Term Decomposition of Higher-Order Tensors. LVA/ICA 2018: 139-148 - [i8]Pierre-Yves Gousenbourger, Estelle M. Massart, Pierre-Antoine Absil:
Blended smoothing splines on Riemannian manifolds. CoRR abs/1812.04420 (2018) - 2017
- [j38]Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan:
Intrinsic representation of tangent vectors and vector transports on matrix manifolds. Numerische Mathematik 136(2): 523-543 (2017) - [c43]Emilie Renard, Pierre-Antoine Absil:
Comparison of location-scale and matrix factorization batch effect removal methods on gene expression datasets. BIBM 2017: 1530-1537 - [c42]Shuyu Dong, Dorina Thanou, Pierre-Antoine Absil, Pascal Frossard:
Learning sparse models of diffusive graph signals. ESANN 2017 - [c41]Pierre-Yves Gousenbourger, Estelle M. Massart, Antoni Musolas, Pierre-Antoine Absil, Julien M. Hendrickx, Laurent Jacques, Youssef M. Marzouk:
Piecewise-Bézier C1 smoothing on manifolds with application to wind field estimation. ESANN 2017 - [c40]Pierre-Yves Gousenbourger, Laurent Jacques, Pierre-Antoine Absil:
Fast Method to Fit a C1 Piecewise-Bézier Function to Manifold-Valued Data Points: How Suboptimal is the Curve Obtained on the Sphere S2 ? GSI 2017: 595-603 - 2016
- [j37]Guifang Zhou, Wen Huang, Kyle A. Gallivan, Paul Van Dooren, Pierre-Antoine Absil:
A Riemannian rank-adaptive method for low-rank optimization. Neurocomputing 192: 72-80 (2016) - [j36]Wen Huang, Kyle A. Gallivan, Anuj Srivastava, Pierre-Antoine Absil:
Riemannian Optimization for Registration of Curves in Elastic Shape Analysis. J. Math. Imaging Vis. 54(3): 320-343 (2016) - [j35]Pierre-Antoine Absil, Pierre-Yves Gousenbourger, Paul Striewski, Benedikt Wirth:
Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds. SIAM J. Imaging Sci. 9(4): 1788-1828 (2016) - [j34]Léopold Cambier, Pierre-Antoine Absil:
Robust Low-Rank Matrix Completion by Riemannian Optimization. SIAM J. Sci. Comput. 38(5) (2016) - [c39]Pierre-Antoine Absil, Pierre-Yves Gousenbourger, Paul Striewski, Benedikt Wirth:
Differentiable piecewise-Bézier interpolation on Riemannian manifolds. ESANN 2016 - [c38]Estelle M. Massart, Julien M. Hendrickx, Pierre-Antoine Absil:
Extending a two-variable mean to a multi-variable mean. ESANN 2016 - [c37]Emilie Renard, Andrew E. Teschendorff, Pierre-Antoine Absil:
Spatiotemporal ICA improves the selection of differentially expressed genes. ESANN 2016 - [c36]Matthieu Genicot, Pierre-Antoine Absil, Renaud Lambiotte, Saber Sami:
Coupled tensor decomposition: A step towards robust components. EUSIPCO 2016: 1308-1312 - [c35]Xinru Yuan, Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan:
A Riemannian Limited-memory BFGS Algorithm for Computing the Matrix Geometric Mean. ICCS 2016: 2147-2157 - [c34]Emilie Renard, Samuel Branders, Pierre-Antoine Absil:
Independent Component Analysis to Remove Batch Effects from Merged Microarray Datasets. WABI 2016: 281-292 - [i7]Vinayak Abrol, Olivier Absil, Pierre-Antoine Absil, Sandrine Anthoine, Philippe Antoine, Thomas Arildsen, Nancy Bertin, Folkert Bleichrodt, Jérôme Bobin, Anne Bol, Antoine Bonnefoy, Francesco Caltagirone, Valerio Cambareri, Cecile Chenot, Vladimir S. Crnojevic, Marie Danková, Kévin Degraux, Jens Eisert, Mohamed-Jalal Fadili, Marylou Gabrié, Nicolas Gac, Daniele Giacobello, Carlos A. Gomez Gonzalez, Adriana Gonzalez, Pierre-Yves Gousenbourger, Mads Græsbøll Christensen, Rémi Gribonval, Stéphanie Guérit, Shaoguang Huang, Paul Irofti, Laurent Jacques, Ulugbek S. Kamilov, Srdan Kitic, Martin Kliesch, Florent Krzakala, John A. Lee, Wenzhi Liao, Tobias Lindstrøm Jensen, Andre Manoel, Hassan Mansour, Ali Mohammad-Djafari, Amirafshar Moshtaghpour, Fred Maurice Ngolè Mboula, Benoît Pairet, Marko Panic, Gabriel Peyré, Aleksandra Pizurica, Pavel Rajmic, Matthieu Roblin, Ingo Roth, Anil Kumar Sao, Pulkit Sharma, Jean-Luc Starck, Eric W. Tramel, Toon van Waterschoot, Dejan Vukobratovic, Li Wang, Benedikt Wirth, Gerhard Wunder, Hongyan Zhang:
Proceedings of the third "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'16). CoRR abs/1609.04167 (2016) - 2015
- [j33]Pierre-Antoine Absil, Ivan V. Oseledets:
Low-rank retractions: a survey and new results. Comput. Optim. Appl. 62(1): 5-29 (2015) - [j32]Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan:
A Riemannian symmetric rank-one trust-region method. Math. Program. 150(2): 179-216 (2015) - [j31]Wen Huang, Kyle A. Gallivan, Pierre-Antoine Absil:
A Broyden Class of Quasi-Newton Methods for Riemannian Optimization. SIAM J. Optim. 25(3): 1660-1685 (2015) - [c33]Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan:
A Riemannian BFGS Method for Nonconvex Optimization Problems. ENUMATH 2015: 627-634 - [c32]Guifang Zhou, Wen Huang, Kyle A. Gallivan, Paul Van Dooren, Pierre-Antoine Absil:
Rank-constrained optimization: a Riemannian manifold approach. ESANN 2015 - [c31]Yaqing You, Wen Huang, Kyle A. Gallivan, Pierre-Antoine Absil:
A Riemannian approach for computing geodesies in elastic shape analysis. GlobalSIP 2015: 727-731 - [c30]Antoine Arnould, Pierre-Yves Gousenbourger, Chafik Samir, Pierre-Antoine Absil, Michel Canis:
Fitting Smooth Paths on Riemannian Manifolds: Endometrial Surface Reconstruction and Preoperative MRI-Based Navigation. GSI 2015: 491-498 - 2014
- [j30]Pierre-Antoine Absil, Luca Amodei, Gilles Meyer:
Two Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries. Comput. Stat. 29(3): 569-590 (2014) - [j29]Filippo Pompili, Nicolas Gillis, Pierre-Antoine Absil, François Glineur:
Two algorithms for orthogonal nonnegative matrix factorization with application to clustering. Neurocomputing 141: 15-25 (2014) - [j28]Augustin Lefèvre, François Glineur, Pierre-Antoine Absil:
A convex formulation for informed source separation in the single channel setting. Neurocomputing 141: 26-36 (2014) - [j27]Pierre B. Borckmans, S. Easter Selvan, Nicolas Boumal, Pierre-Antoine Absil:
A Riemannian subgradient algorithm for economic dispatch with valve-point effect. J. Comput. Appl. Math. 255: 848-866 (2014) - [j26]Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, Rodolphe Sepulchre:
Manopt, a matlab toolbox for optimization on manifolds. J. Mach. Learn. Res. 15(1): 1455-1459 (2014) - [j25]Luke B. Winternitz, André L. Tits, Pierre-Antoine Absil:
Addressing Rank Degeneracy in Constraint-Reduced Interior-Point Methods for Linear Optimization. J. Optim. Theory Appl. 160(1): 127-157 (2014) - [c29]Emilie Renard, Andrew E. Teschendorff, Pierre-Antoine Absil:
Capturing confounding sources of variation in DNA methylation data by spatiotemporal independent component analysis. ESANN 2014 - [c28]Pierre-Yves Gousenbourger, Chafik Samir, Pierre-Antoine Absil:
Piecewise-Bézier C1 Interpolation on Riemannian Manifolds with Application to 2D Shape Morphing. ICPR 2014: 4086-4091 - [i6]Laurent Jacques, Christophe De Vleeschouwer, Yannick Boursier, Prasad Sudhakar, C. De Mol, Aleksandra Pizurica, Sandrine Anthoine, Pierre Vandergheynst, Pascal Frossard, Cagdas Bilen, Srdan Kitic, Nancy Bertin, Rémi Gribonval, Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, Rodolphe Sepulchre, Shaun Bundervoet, Colas Schretter, Ann Dooms, Peter Schelkens, Olivier Chabiron, François Malgouyres, Jean-Yves Tourneret, Nicolas Dobigeon, Pierre Chainais, Cédric Richard, Bruno Cornelis, Ingrid Daubechies, David B. Dunson, Marie Danková, Pavel Rajmic, Kévin Degraux, Valerio Cambareri, Bert Geelen, Gauthier Lafruit, Gianluca Setti, Jean-François Determe, Jérôme Louveaux, François Horlin, Angélique Drémeau, Patrick Héas, Cédric Herzet, Vincent Duval, Gabriel Peyré, Alhussein Fawzi, Mike E. Davies, Nicolas Gillis, Stephen A. Vavasis, Charles Soussen, Luc Le Magoarou, Jingwei Liang, Jalal Fadili, Antoine Liutkus, David Martina, Sylvain Gigan, Laurent Daudet, Mauro Maggioni, Stanislav Minsker, Nate Strawn, C. Mory, Fred Maurice Ngolè Mboula, Jean-Luc Starck, Ignace Loris, Samuel Vaiter, Mohammad Golbabaee, Dejan Vukobratovic:
Proceedings of the second "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'14). CoRR abs/1410.0719 (2014) - 2013
- [j24]S. Easter Selvan, Pierre B. Borckmans, Amit Chattopadhyay, Pierre-Antoine Absil:
Spherical Mesh Adaptive Direct Search for Separating Quasi-Uncorrelated Sources by Range-Based Independent Component Analysis. Neural Comput. 25(9): 2486-2522 (2013) - [j23]Mariya Ishteva, Pierre-Antoine Absil, Paul Van Dooren:
Jacobi Algorithm for the Best Low Multilinear Rank Approximation of Symmetric Tensors. SIAM J. Matrix Anal. Appl. 34(2): 651-672 (2013) - [c27]Nicolas Boumal, Amit Singer, Pierre-Antoine Absil:
Robust estimation of rotations from relative measurements by maximum likelihood. CDC 2013: 1156-1161 - [c26]Augustin Lefèvre, François Glineur, Pierre-Antoine Absil:
A nuclear-norm based convex formulation for informed source separation. ESANN 2013 - [c25]Filippo Pompili, Nicolas Gillis, François Glineur, Pierre-Antoine Absil:
ONP-MF: An Orthogonal Nonnegative Matrix Factorization Algorithm with Application to Clustering. ESANN 2013 - [c24]Pierre-Antoine Absil, Robert E. Mahony, Jochen Trumpf:
An Extrinsic Look at the Riemannian Hessian. GSI 2013: 361-368 - [i5]Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, Rodolphe Sepulchre:
Manopt, a Matlab toolbox for optimization on manifolds. CoRR abs/1308.5200 (2013) - [i4]Arnaud Browet, Pierre-Antoine Absil, Paul Van Dooren:
Fast community detection using local neighbourhood search. CoRR abs/1308.6276 (2013) - 2012
- [j22]Chafik Samir, Pierre-Antoine Absil, Anuj Srivastava, Eric Klassen:
A Gradient-Descent Method for Curve Fitting on Riemannian Manifolds. Found. Comput. Math. 12(1): 49-73 (2012) - [j21]Pierre-Antoine Absil, Jérôme Malick:
Projection-like Retractions on Matrix Manifolds. SIAM J. Optim. 22(1): 135-158 (2012) - [c23]Suviseshamuthu Easter Selvan, Amit Chattopadhyay, Umberto Amato, Pierre-Antoine Absil:
Range-based non-orthogonal ICA using cross-entropy method. ESANN 2012 - [p1]Kyle A. Gallivan, Chunhong Qi, Pierre-Antoine Absil:
A Riemannian Dennis-Moré Condition. High-Performance Scientific Computing 2012: 281-293 - [i3]Filippo Pompili, Nicolas Gillis, Pierre-Antoine Absil, François Glineur:
Two Algorithms for Orthogonal Nonnegative Matrix Factorization with Application to Clustering. CoRR abs/1201.0901 (2012) - [i2]Nicolas Boumal, Amit Singer, Pierre-Antoine Absil, Vincent D. Blondel:
Cramér-Rao bounds for synchronization of rotations. CoRR abs/1211.1621 (2012) - [i1]Augustin Lefèvre, François Glineur, Pierre-Antoine Absil:
A nuclear-norm based convex formulation for informed source separation. CoRR abs/1212.3119 (2012) - 2011
- [j20]Tzvetan Ivanov, Brian D. O. Anderson, Pierre-Antoine Absil, Michel Gevers:
New relations between norms of system transfer functions. Syst. Control. Lett. 60(3): 151-155 (2011) - [j19]Mariya Ishteva, Pierre-Antoine Absil, Sabine Van Huffel, Lieven De Lathauwer:
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme. SIAM J. Matrix Anal. Appl. 32(1): 115-135 (2011) - [c22]Quentin Rentmeesters, Pierre-Antoine Absil:
Algorithm comparison for Karcher mean computation of rotation matrices and diffusion tensors. EUSIPCO 2011: 2229-2233 - [c21]Nicolas Boumal, Pierre-Antoine Absil:
Discrete regression methods on the cone of positive-definite matrices. ICASSP 2011: 4232-4235 - [c20]Arnaud Browet, Pierre-Antoine Absil, Paul Van Dooren:
Community Detection for Hierarchical Image Segmentation. IWCIA 2011: 358-371 - [c19]Nicolas Boumal, Pierre-Antoine Absil:
RTRMC: A Riemannian trust-region method for low-rank matrix completion. NIPS 2011: 406-414 - 2010
- [j18]Pierre-Antoine Absil, Paul Van Dooren:
Two-sided Grassmann-Rayleigh quotient iteration. Numerische Mathematik 114(4): 549-571 (2010) - [j17]Michel Journée, Francis R. Bach, Pierre-Antoine Absil, Rodolphe Sepulchre:
Low-Rank Optimization on the Cone of Positive Semidefinite Matrices. SIAM J. Optim. 20(5): 2327-2351 (2010) - [j16]Paul Van Dooren, Kyle A. Gallivan, Pierre-Antoine Absil:
H2-Optimal Model Reduction with Higher-Order Poles. SIAM J. Matrix Anal. Appl. 31(5): 2738-2753 (2010) - [c18]Pierre B. Borckmans, Mariya Ishteva, Pierre-Antoine Absil:
A Modified Particle Swarm Optimization Algorithm for the Best Low Multilinear Rank Approximation of Higher-Order Tensors. ANTS Conference 2010: 13-23 - [c17]Pierre B. Borckmans, Pierre-Antoine Absil:
Oriented Bounding Box Computation Using Particle Swarm Optimization. ESANN 2010 - [c16]Quentin Rentmeesters, Pierre-Antoine Absil, Paul Van Dooren, Kyle A. Gallivan, Anuj Srivastava:
An efficient particle filtering technique on the Grassmann manifold. ICASSP 2010: 3838-3841
2000 – 2009
- 2009
- [j15]Mariya Ishteva, Lieven De Lathauwer, Pierre-Antoine Absil, Sabine Van Huffel:
Differential-geometric Newton method for the best rank-(R1, R2, R3) approximation of tensors. Numer. Algorithms 51(2): 179-194 (2009) - [j14]Pierre-Antoine Absil, Mariya Ishteva, Lieven De Lathauwer, Sabine Van Huffel:
A Geometric Newton Method for Oja's Vector Field. Neural Comput. 21(5): 1415-1433 (2009) - [j13]Pierre-Antoine Absil, Kyle A. Gallivan:
Accelerated Line-search and Trust-region Methods. SIAM J. Numer. Anal. 47(2): 997-1018 (2009) - [c15]Matthieu Sainlez, Pierre-Antoine Absil, Andrew E. Teschendorff:
Gene expression data analysis using spatiotemporal blind source separation. ESANN 2009 - [c14]Tzvetan Ivanov, Brian D. O. Anderson, Pierre-Antoine Absil, Michel Gevers:
Using H2norm to bound H∞norm from above on real rational modules. ECC 2009: 2259-2264 - [c13]Chafik Samir, Paul Van Dooren, D. Laurent, Kyle A. Gallivan, Pierre-Antoine Absil:
Elastic Morphing of 2D and 3D Objects on a Shape Manifold. ICIAR 2009: 563-572 - [c12]Fabian J. Theis, Thomas P. Cason, Pierre-Antoine Absil:
Soft Dimension Reduction for ICA by Joint Diagonalization on the Stiefel Manifold. ICA 2009: 354-361 - [c11]Chafik Samir, Pierre-Antoine Absil, Anuj Srivastava, Eric Klassen:
Fitting Curves on Riemannian Manifolds Using Energy Minimization. MVA 2009: 422-425 - 2008
- [b1]Pierre-Antoine Absil, Robert E. Mahony, Rodolphe Sepulchre:
Optimization Algorithms on Matrix Manifolds. Princeton University Press 2008, ISBN 978-0-691-13298-3, pp. I-XIV, 1-224 - [j12]Paul Van Dooren, Kyle A. Gallivan, Pierre-Antoine Absil:
H2-optimal model reduction of MIMO systems. Appl. Math. Lett. 21(12): 1267-1273 (2008) - [j11]Pierre-Antoine Absil:
Numerical Representations of a Universal Subspace Flow for Linear Programs. Commun. Inf. Syst. 8(2): 71-84 (2008) - [c10]Tzvetan Ivanov, Pierre-Antoine Absil, Brian D. O. Anderson, Michel Gevers:
Application of real rational modules in system identification. CDC 2008: 111-116 - 2007
- [j10]Pierre-Antoine Absil, André L. Tits:
Newton-KKT interior-point methods for indefinite quadratic programming. Comput. Optim. Appl. 36(1): 5-41 (2007) - [j9]Pierre-Antoine Absil, Christopher G. Baker, Kyle A. Gallivan:
Trust-Region Methods on Riemannian Manifolds. Found. Comput. Math. 7(3): 303-330 (2007) - [j8]Andrew E. Teschendorff, Michel Journée, Pierre-Antoine Absil, Rodolphe Sepulchre, Carlos Caldas:
Elucidating the Altered Transcriptional Programs in Breast Cancer using Independent Component Analysis. PLoS Comput. Biol. 3(8) (2007) - [c9]Pierre-Antoine Absil, Christian Lageman, Jonathan H. Manton:
Design of continuous-time flows on intertwined orbit spaces. CDC 2007: 6244-6249 - [c8]Michel Journée, Pierre-Antoine Absil, Rodolphe Sepulchre:
Optimization on the Orthogonal Group for Independent Component Analysis. ICA 2007: 57-64 - [c7]Michel Journée, Andrew E. Teschendorff, Pierre-Antoine Absil, Rodolphe Sepulchre:
Geometric Optimization Methods for Independent Component Analysis Applied on Gene Expression Data. ICASSP (4) 2007: 1413-1416 - 2006
- [j7]Pierre-Antoine Absil:
Continuous-time Systems that Solve Computational Problems. Int. J. Unconv. Comput. 2(4): 291-304 (2006) - [j6]Pierre-Antoine Absil, Krzysztof Kurdyka:
On the stable equilibrium points of gradient systems. Syst. Control. Lett. 55(7): 573-577 (2006) - [j5]André L. Tits, Pierre-Antoine Absil, William P. Woessner:
Constraint Reduction for Linear Programs with Many Inequality Constraints. SIAM J. Optim. 17(1): 119-146 (2006) - [c6]Pierre-Antoine Absil, Kyle A. Gallivan:
Joint Diagonalization on the Oblique Manifold for Independent Component Analysis. ICASSP (5) 2006: 945-948 - [c5]Christopher G. Baker, Pierre-Antoine Absil, Kyle A. Gallivan:
An Implicit Riemannian Trust-Region Method for the Symmetric Generalized Eigenproblem. International Conference on Computational Science (1) 2006: 210-217 - 2005
- [j4]Pierre-Antoine Absil, Robert E. Mahony, Ben Andrews:
Convergence of the Iterates of Descent Methods for Analytic Cost Functions. SIAM J. Optim. 16(2): 531-547 (2005) - [c4]Pierre-Antoine Absil, Christopher G. Baker, Kyle A. Gallivan, Ahmed H. Sameh:
Adaptive Model Trust Region Methods for Generalized Eigenvalue Problems. International Conference on Computational Science (1) 2005: 33-41 - 2004
- [j3]Pierre-Antoine Absil, Rodolphe Sepulchre:
Continuous dynamical systems that realize discrete optimization on the hypercube. Syst. Control. Lett. 52(3-4): 297-304 (2004) - [j2]Pierre-Antoine Absil, Rodolphe Sepulchre, Paul Van Dooren, Robert E. Mahony:
Cubically Convergent Iterations for Invariant Subspace Computation. SIAM J. Matrix Anal. Appl. 26(1): 70-96 (2004) - 2003
- [c3]Pierre-Antoine Absil, Rodolphe Sepulchre, Paul Van Dooren, Robert E. Mahony:
A Newton algorithm for invariant subspace computation with large basins of attraction. CDC 2003: 2352-2357 - 2002
- [j1]Pierre-Antoine Absil, Robert E. Mahony, Rodolphe Sepulchre, Paul Van Dooren:
A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces. SIAM Rev. 44(1): 57-73 (2002) - 2001
- [c2]Pierre-Antoine Absil, Rodolphe Sepulchre:
A hybrid control scheme for swing-up acrobatics. ECC 2001: 2860-2864 - 2000
- [c1]Pierre-Antoine Absil, Robert E. Mahony, Rodolphe Sepulchre, Paul Van Dooren:
A Grassmann-Rayleigh quotient iteration for computing invariant subspaces. CDC 2000: 4241-4246
Coauthor Index
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