Pierre-Antoine Absil

According to our database1, Pierre-Antoine Absil authored at least 98 papers between 2002 and 2020.

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Bibliography

2020
Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices.
SIAM J. Matrix Anal. Appl., 2020

On the Quality of First-Order Approximation of Functions with Hölder Continuous Gradient.
J. Optim. Theory Appl., 2020

On a minimum enclosing ball of a collection of linear subspaces.
CoRR, 2020

2019
Data Fitting on Manifolds with Composite Bézier-Like Curves and Blended Cubic Splines.
J. Math. Imaging Vis., 2019

Equivalent Polyadic Decompositions of Matrix Multiplication Tensors.
CoRR, 2019

Curvature of the Manifold of Fixed-Rank Positive-Semidefinite Matrices Endowed with the Bures-Wasserstein Metric.
Proceedings of the Geometric Science of Information - 4th International Conference, 2019

Minimax center to extract a common subspace from multiple datasets.
Proceedings of the 27th European Symposium on Artificial Neural Networks, 2019

Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results.
Proceedings of the 27th European Symposium on Artificial Neural Networks, 2019

Preconditioned conjugate gradient algorithms for graph regularized matrix completion.
Proceedings of the 27th European Symposium on Artificial Neural Networks, 2019

Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold.
Proceedings of the 6th International Conference on Control, 2019

2018
ROPTLIB: An Object-Oriented C++ Library for Optimization on Riemannian Manifolds.
ACM Trans. Math. Softw., 2018

A Riemannian BFGS Method Without Differentiated Retraction for Nonconvex Optimization Problems.
SIAM J. Optim., 2018

Blended smoothing splines on Riemannian manifolds.
CoRR, 2018

A Grassmannian Minimum Enclosing Ball Approach for Common Subspace Extraction.
Proceedings of the Latent Variable Analysis and Signal Separation, 2018

Variable Projection Applied to Block Term Decomposition of Higher-Order Tensors.
Proceedings of the Latent Variable Analysis and Signal Separation, 2018

A variable projection method for block term decomposition of higher-order tensors.
Proceedings of the 26th European Symposium on Artificial Neural Networks, 2018

2017
Intrinsic representation of tangent vectors and vector transports on matrix manifolds.
Numerische Mathematik, 2017

Fast Method to Fit a C1 Piecewise-Bézier Function to Manifold-Valued Data Points: How Suboptimal is the Curve Obtained on the Sphere S2 ?
Proceedings of the Geometric Science of Information - Third International Conference, 2017

Piecewise-Bézier C1 smoothing on manifolds with application to wind field estimation.
Proceedings of the 25th European Symposium on Artificial Neural Networks, 2017

Learning sparse models of diffusive graph signals.
Proceedings of the 25th European Symposium on Artificial Neural Networks, 2017

Comparison of location-scale and matrix factorization batch effect removal methods on gene expression datasets.
Proceedings of the 2017 IEEE International Conference on Bioinformatics and Biomedicine, 2017

2016
Robust Low-Rank Matrix Completion by Riemannian Optimization.
SIAM J. Scientific Computing, 2016

Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds.
SIAM J. Imaging Sciences, 2016

Riemannian Optimization for Registration of Curves in Elastic Shape Analysis.
J. Math. Imaging Vis., 2016

A Riemannian rank-adaptive method for low-rank optimization.
Neurocomputing, 2016

Proceedings of the third "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'16).
CoRR, 2016

Independent Component Analysis to Remove Batch Effects from Merged Microarray Datasets.
Proceedings of the Algorithms in Bioinformatics - 16th International Workshop, 2016

A Riemannian Limited-memory BFGS Algorithm for Computing the Matrix Geometric Mean.
Proceedings of the International Conference on Computational Science 2016, 2016

Coupled tensor decomposition: A step towards robust components.
Proceedings of the 24th European Signal Processing Conference, 2016

Spatiotemporal ICA improves the selection of differentially expressed genes.
Proceedings of the 24th European Symposium on Artificial Neural Networks, 2016

Extending a two-variable mean to a multi-variable mean.
Proceedings of the 24th European Symposium on Artificial Neural Networks, 2016

Differentiable piecewise-Bézier interpolation on Riemannian manifolds.
Proceedings of the 24th European Symposium on Artificial Neural Networks, 2016

2015
A Broyden Class of Quasi-Newton Methods for Riemannian Optimization.
SIAM J. Optim., 2015

A Riemannian symmetric rank-one trust-region method.
Math. Program., 2015

Low-rank retractions: a survey and new results.
Comp. Opt. and Appl., 2015

Fitting Smooth Paths on Riemannian Manifolds: Endometrial Surface Reconstruction and Preoperative MRI-Based Navigation.
Proceedings of the Geometric Science of Information - Second International Conference, 2015

A Riemannian approach for computing geodesies in elastic shape analysis.
Proceedings of the 2015 IEEE Global Conference on Signal and Information Processing, 2015

Rank-constrained optimization: a Riemannian manifold approach.
Proceedings of the 23rd European Symposium on Artificial Neural Networks, 2015

A Riemannian BFGS Method for Nonconvex Optimization Problems.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014
Addressing Rank Degeneracy in Constraint-Reduced Interior-Point Methods for Linear Optimization.
J. Optim. Theory Appl., 2014

Manopt, a matlab toolbox for optimization on manifolds.
J. Mach. Learn. Res., 2014

A Riemannian subgradient algorithm for economic dispatch with valve-point effect.
J. Comput. Appl. Math., 2014

Two algorithms for orthogonal nonnegative matrix factorization with application to clustering.
Neurocomputing, 2014

A convex formulation for informed source separation in the single channel setting.
Neurocomputing, 2014

Proceedings of the second "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'14).
CoRR, 2014

Piecewise-Bézier C1 Interpolation on Riemannian Manifolds with Application to 2D Shape Morphing.
Proceedings of the 22nd International Conference on Pattern Recognition, 2014

Capturing confounding sources of variation in DNA methylation data by spatiotemporal independent component analysis.
Proceedings of the 22th European Symposium on Artificial Neural Networks, 2014

2013
Jacobi Algorithm for the Best Low Multilinear Rank Approximation of Symmetric Tensors.
SIAM J. Matrix Anal. Appl., 2013

Spherical Mesh Adaptive Direct Search for Separating Quasi-Uncorrelated Sources by Range-Based Independent Component Analysis.
Neural Computation, 2013

Fast community detection using local neighbourhood search.
CoRR, 2013

An Extrinsic Look at the Riemannian Hessian.
Proceedings of the Geometric Science of Information - First International Conference, 2013

ONP-MF: An Orthogonal Nonnegative Matrix Factorization Algorithm with Application to Clustering.
Proceedings of the 21st European Symposium on Artificial Neural Networks, 2013

A nuclear-norm based convex formulation for informed source separation.
Proceedings of the 21st European Symposium on Artificial Neural Networks, 2013

Robust estimation of rotations from relative measurements by maximum likelihood.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012
Projection-like Retractions on Matrix Manifolds.
SIAM J. Optim., 2012

A Gradient-Descent Method for Curve Fitting on Riemannian Manifolds.
Found. Comput. Math., 2012

Cramér-Rao bounds for synchronization of rotations
CoRR, 2012

Range-based non-orthogonal ICA using cross-entropy method.
Proceedings of the 20th European Symposium on Artificial Neural Networks, 2012

A Riemannian Dennis-Moré Condition.
Proceedings of the High-Performance Scientific Computing - Algorithms and Applications., 2012

2011
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme.
SIAM J. Matrix Anal. Appl., 2011

New relations between norms of system transfer functions.
Syst. Control. Lett., 2011

RTRMC: A Riemannian trust-region method for low-rank matrix completion.
Proceedings of the Advances in Neural Information Processing Systems 24: 25th Annual Conference on Neural Information Processing Systems 2011. Proceedings of a meeting held 12-14 December 2011, 2011

Community Detection for Hierarchical Image Segmentation.
Proceedings of the Combinatorial Image Analysis - 14th International Workshop, 2011

Discrete regression methods on the cone of positive-definite matrices.
Proceedings of the IEEE International Conference on Acoustics, 2011

Algorithm comparison for Karcher mean computation of rotation matrices and diffusion tensors.
Proceedings of the 19th European Signal Processing Conference, 2011

2010
H2-Optimal Model Reduction with Higher-Order Poles.
SIAM J. Matrix Anal. Appl., 2010

Low-Rank Optimization on the Cone of Positive Semidefinite Matrices.
SIAM J. Optim., 2010

Two-sided Grassmann-Rayleigh quotient iteration.
Numerische Mathematik, 2010

An efficient particle filtering technique on the Grassmann manifold.
Proceedings of the IEEE International Conference on Acoustics, 2010

Oriented Bounding Box Computation Using Particle Swarm Optimization.
Proceedings of the ESANN 2010, 2010

A Modified Particle Swarm Optimization Algorithm for the Best Low Multilinear Rank Approximation of Higher-Order Tensors.
Proceedings of the Swarm Intelligence - 7th International Conference, 2010

2009
Accelerated Line-search and Trust-region Methods.
SIAM J. Numer. Anal., 2009

A Geometric Newton Method for Oja's Vector Field.
Neural Computation, 2009

Differential-geometric Newton method for the best rank-(R1, R2, R3) approximation of tensors.
Numer. Algorithms, 2009

Fitting Curves on Riemannian Manifolds Using Energy Minimization.
Proceedings of the IAPR Conference on Machine Vision Applications (IAPR MVA 2009), 2009

Soft Dimension Reduction for ICA by Joint Diagonalization on the Stiefel Manifold.
Proceedings of the Independent Component Analysis and Signal Separation, 2009

Elastic Morphing of 2D and 3D Objects on a Shape Manifold.
Proceedings of the Image Analysis and Recognition, 6th International Conference, 2009

Using H2norm to bound Hnorm from above on real rational modules.
Proceedings of the European Control Conference, 2009

Gene expression data analysis using spatiotemporal blind source separation.
Proceedings of the ESANN 2009, 2009

2008
H2-optimal model reduction of MIMO systems.
Appl. Math. Lett., 2008

Application of real rational modules in system identification.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Optimization Algorithms on Matrix Manifolds.
Princeton University Press, ISBN: 978-0-691-13298-3, 2008

2007
Elucidating the Altered Transcriptional Programs in Breast Cancer using Independent Component Analysis.
PLoS Computational Biology, 2007

Trust-Region Methods on Riemannian Manifolds.
Found. Comput. Math., 2007

Newton-KKT interior-point methods for indefinite quadratic programming.
Comp. Opt. and Appl., 2007

Geometric Optimization Methods for Independent Component Analysis Applied on Gene Expression Data.
Proceedings of the IEEE International Conference on Acoustics, 2007

Optimization on the Orthogonal Group for Independent Component Analysis.
Proceedings of the Independent Component Analysis and Signal Separation, 2007

Design of continuous-time flows on intertwined orbit spaces.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006
Constraint Reduction for Linear Programs with Many Inequality Constraints.
SIAM J. Optim., 2006

On the stable equilibrium points of gradient systems.
Syst. Control. Lett., 2006

Continuous-time Systems that Solve Computational Problems.
Int. J. Unconv. Comput., 2006

An Implicit Riemannian Trust-Region Method for the Symmetric Generalized Eigenproblem.
Proceedings of the Computational Science, 2006

Joint Diagonalization on the Oblique Manifold for Independent Component Analysis.
Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

2005
Convergence of the Iterates of Descent Methods for Analytic Cost Functions.
SIAM J. Optim., 2005

Adaptive Model Trust Region Methods for Generalized Eigenvalue Problems.
Proceedings of the Computational Science, 2005

2004
Cubically Convergent Iterations for Invariant Subspace Computation.
SIAM J. Matrix Anal. Appl., 2004

Continuous dynamical systems that realize discrete optimization on the hypercube.
Syst. Control. Lett., 2004

2002
A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces.
SIAM Review, 2002


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