フォロー
P.-A. Absil
P.-A. Absil
ICTEAM, EPL, UCLouvain
確認したメール アドレス: uclouvain.be - ホームページ
タイトル
引用先
引用先
年
Optimization algorithms on matrix manifolds
PA Absil, R Mahony, R Sepulchre
Princeton University Press, 2008
46282008
Manopt, a Matlab toolbox for optimization on manifolds
N Boumal, B Mishra, PA Absil, R Sepulchre
The Journal of Machine Learning Research 15 (1), 1455-1459, 2014
12212014
Trust-region methods on Riemannian manifolds
PA Absil, CG Baker, KA Gallivan
Foundations of Computational Mathematics 7 (3), 303-330, 2007
5632007
Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
PA Absil, R Mahony, R Sepulchre
Acta Applicandae Mathematicae 80 (2), 199-220, 2004
4922004
Convergence of the iterates of descent methods for analytic cost functions
PA Absil, R Mahony, B Andrews
SIAM Journal on Optimization 16 (2), 531-547, 2005
4042005
Projection-like retractions on matrix manifolds
PA Absil, J Malick
SIAM Journal on Optimization 22 (1), 135-158, 2012
3952012
Global rates of convergence for nonconvex optimization on manifolds
N Boumal, PA Absil, C Cartis
IMA Journal of Numerical Analysis 39 (1), 1-33, 2018
3642018
Low-rank optimization on the cone of positive semidefinite matrices
M Journée, F Bach, PA Absil, R Sepulchre
SIAM Journal on Optimization 20 (5), 2327-2351, 2010
3342010
RTRMC: A Riemannian trust-region method for low-rank matrix completion
N Boumal, PA Absil
Advances in Neural Information Processing Systems 24, 406-414, 2011
2502011
A Broyden class of quasi-Newton methods for Riemannian optimization
W Huang, KA Gallivan, PA Absil
SIAM Journal on Optimization 25 (3), 1660-1685, 2015
2242015
H2-optimal model reduction of MIMO systems
P Van Dooren, KA Gallivan, PA Absil
Applied Mathematics Letters 21 (12), 1267-1273, 2008
2242008
VIP: Vortex Image Processing Package for High-contrast Direct Imaging
CAG Gonzalez, O Wertz, O Absil, V Christiaens, D Defrére, D Mawet, ...
Astrophysical Journal, 2016
2092016
Two algorithms for orthogonal nonnegative matrix factorization with application to clustering
F Pompili, N Gillis, PA Absil, F Glineur
Neurocomputing 141, 15-25, 2014
1962014
On the stable equilibrium points of gradient systems
PA Absil, K Kurdyka
Systems & control letters 55 (7), 573-577, 2006
1822006
Elucidating the altered transcriptional programs in breast cancer using independent component analysis
AE Teschendorff, M Journée, PA Absil, R Sepulchre, C Caldas
PLoS Computational Biology 3 (8), e161, 2007
1622007
Low-rank matrix completion via trust-regions on the Grassmann manifold
N Boumal, PA Absil
Tech. rep., UCL-INMA-2012.07, 2012
156*2012
Best low multilinear rank approximation of higher-order tensors, based on the Riemannian trust-region scheme
M Ishteva, PA Absil, S Van Huffel, L De Lathauwer
SIAM Journal on Matrix Analysis and Applications 32 (1), 115-135, 2011
1562011
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold
N Boumal, PA Absil
Linear Algebra and its Applications 475, 200-239, 2015
1522015
An extrinsic look at the Riemannian Hessian
PA Absil, R Mahony, J Trumpf
International Conference on Geometric Science of Information, 361-368, 2013
1442013
A Grassmann manifold handbook: Basic geometry and computational aspects
T Bendokat, R Zimmermann, PA Absil
Advances in Computational Mathematics 50 (1), 6, 2024
1322024
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