Large-scale 3D EM modeling with a Block Low-Rank multifrontal direct solver
Daniil Shantsev
,
Piyoosh Jaysaval
,
Sébastien de La Kethulle de Ryhove
,
Patrick Amestoy
,
Alfredo Buttari
,
et al.
Article dans une revue
hal-01672952v1
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Adaptive Precision Sparse Matrix-Vector Product and its application to Krylov Solvers
Roméo Molina
,
Stef Graillat
,
Fabienne Jézéquel
,
Théo Mary
13èmes Rencontres Arithmétique de l'Informatique Mathématique (RAIM 2022) , Nov 2022, Nantes, France
Communication dans un congrès
hal-03931125v1
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Scaling is all you need: quantization of butterfly matrix products via optimal rank-one quantization
Rémi Gribonval
,
Theo Mary
,
Elisa Riccietti
29ème Colloque sur le traitement du signal et des images (GRETSI) , Aug 2023, Grenoble, France. pp.497-500
Communication dans un congrès
hal-04146706v1
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Code for reproducible research for the article "OPTIMAL QUANTIZATION OF RANK-ONE MATRICES IN FLOATING-POINT ARITHMETIC—WITH APPLICATIONS TO BUTTERFLY FACTORIZATIONS
Rémi Gribonval
,
Elisa Riccietti
,
Théo Mary
Logiciel
hal-04124171v1
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Optimal quantization of rank-one matrices in floating-point arithmetic---with applications to butterfly factorizations
Rémi Gribonval
,
Theo Mary
,
Elisa Riccietti
2023
Pré-publication, Document de travail
hal-04125381v1
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On the Complexity of the Block Low-Rank Multifrontal Factorization
Patrick Amestoy
,
Alfredo Buttari
,
Jean-Yves L'Excellent
,
Théo Mary
Article dans une revue
hal-01322230v3
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Block Low-Rank Matrices with Shared Bases: Potential and Limitations of the BLR2S Format
Cleve Ashcraft
,
Alfredo Buttari
,
Théo Mary
Article dans une revue
hal-03070416v2
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Communication Avoiding Block Low-Rank Parallel Multifrontal Triangular Solve with Many Right-Hand Sides
Patrick Amestoy
,
Olivier Boiteau
,
Alfredo Buttari
,
Matthieu Gerest
,
Fabienne Jézéquel
,
et al.
Article dans une revue
hal-04082415v1
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Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Cores
Pierre Blanchard
,
Nicholas J Higham
,
Florent Lopez
,
Théo Mary
,
Srikara Pranesh
Article dans une revue
hal-02491076v2
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Solving linear systems efficiently using mixed-precision Block Low-Rank compression
Patrick Amestoy
,
Olivier Boiteau
,
Alfredo Buttari
,
Matthieu Gerest
,
Fabienne Jézéquel
,
et al.
Rencontres Arithmétique de l'informatique Mathématique (RAIM 2021) , GdR GdR IM : Informatique Mathématique, May 2021, Paris, France
Communication dans un congrès
hal-03783037v1
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A Class of Fast and Accurate Summation Algorithms
Pierre Blanchard
,
Nicholas J Higham
,
Théo Mary
SIAM Journal on Scientific Computing , In press
Article dans une revue
hal-02491081v1
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Mixed precision algorithms in numerical linear algebra
Nicholas J Higham
,
Théo Mary
Acta Numerica , 2022
Article dans une revue
hal-03537373v2
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Mixed precision sparse direct solver applied to 3D wave propagation
Patrick Amestoy
,
Alfredo Buttari
,
Florian Faucher
,
Jean-Yves L'Excellent
,
Matthieu Gerest
,
et al.
8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2022) , Jun 2022, Oslo, Norway
Communication dans un congrès
hal-03887660v1
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Block Low-Rank multifrontal solvers: complexity, performance, and scalability
Théo Mary
Numerical Analysis [math.NA]. Université Paul Sabatier - Toulouse III, 2017. English.
⟨NNT : ⟩
Thèse
tel-01708791v1
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Adversarial attacks via backward error analysis
Théo Beuzeville
,
Pierre Boudier
,
Alfredo Buttari
,
Serge Gratton
,
Théo Mary
,
et al.
2021
Pré-publication, Document de travail
hal-03296180v3
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Adaptive Precision Sparse Matrix-Vector Product and its Application to Krylov Solvers
Roméo Molina
,
Stef Graillat
,
Fabienne Jézéquel
,
Théo Mary
Sparse Days Meeting 2022 , Jun 2022, Saint-Girons, France.
Poster de conférence
hal-03780522v1
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Combining sparse approximate factorizations with mixed precision iterative refinement
Patrick Amestoy
,
Alfredo Buttari
,
Nicholas J Higham
,
Jean-Yves L’excellent
,
Théo Mary
,
et al.
Article dans une revue
hal-03536031v2
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Solving linear systems efficiently using block low-rank compression in mixed precision
Patrick Amestoy
,
Olivier Boiteau
,
Alfredo Buttari
,
Matthieu Gerest
,
Fabienne Jézéquel
,
et al.
45ème Congrès National d'Analyse Numérique (CANUM 2022) , Jun 2022, Évian-les-Bains, France
Communication dans un congrès
hal-03922287v1
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Modular matrix multiplication on GPU for polynomial system solving
Jérémy Berthomieu
,
Stef Graillat
,
Dimitri Lesnoff
,
Theo Mary
Article dans une revue
hal-04117304v1
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Performance of random sampling for computing low-rank approximations of a dense matrix on GPUs
Théo Mary
,
Ichitaro Yamazaki
,
Jakub Kurzak
,
Piotr Luszczek
,
Stanimire Tomov
,
et al.
International Conference for High Performance Computing, Networking, Storage and Analysis (SC15) , Nov 2015, Austin, TX, United States. pp.60,
⟨10.1145/2807591.2807613⟩
Communication dans un congrès
hal-02311280v1
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Efficient 3D frequency-domain full-waveform inversion of ocean-bottom cable data with sparse block low-rank direct solver: a real data case study from the North Sea
Patrick Amestoy
,
Romain Brossier
,
Alfredo Buttari
,
Jean-Yves L'Excellent
,
Théo Mary
,
et al.
Communication dans un congrès
hal-01239896v1
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3D frequency-domain seismic modeling with a Parallel BLR multifrontal direct solver
Patrick Amestoy
,
Romain Brossier
,
Alfredo Buttari
,
Jean-Yves L'Excellent
,
Théo Mary
,
et al.
SEG Annual meeting , Oct 2015, New Orleans, United States. pp.3606-3611
Communication dans un congrès
hal-01237869v1
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Mixed Precision LU Factorization on GPU Tensor Cores: Reducing Data Movement and Memory Footprint
Florent Lopez
,
Théo Mary
International Journal of High Performance Computing Applications , In press
Article dans une revue
hal-02937325v2
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Sharper Probabilistic Backward Error Analysis for Basic Linear Algebra Kernels with Random Data
Nicholas J Higham
,
Théo Mary
Article dans une revue
hal-02446954v3
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Truncated QR factorization with pivoting in mixed precision
Alfredo Buttari
,
Théo Mary
,
André Pacteau
2024
Pré-publication, Document de travail
hal-04490215v1
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A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error
Nicholas J. Higham
,
Théo Mary
Article dans une revue
hal-02311256v1
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Bridging the gap between flat and hierarchical low-rank matrix formats: the multilevel BLR format
Patrick Amestoy
,
Alfredo Buttari
,
Jean-Yves L'Excellent
,
Théo Mary
Article dans une revue
hal-01774642v3
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Reducing communications and memory costs of parallel Block Low-Rank solvers
Patrick Amestoy
,
Olivier Boiteau
,
Alfredo Buttari
,
Matthieu Gerest
,
Fabienne Jézéquel
,
et al.
SIAM Conference on Computational Science and Engineering (CSE 2023) , Feb 2023, Amsterdam, Netherlands
Communication dans un congrès
hal-03922334v1
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Probabilistic estimation of the accuracy of inner products and application to stochastic validation
Fabienne Jézéquel
,
Théo Mary
2024
Pré-publication, Document de travail
hal-04554459v1
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Error analysis of the Gram low-rank approximation (and why it is not as unstable as one may think)
Théo Mary
2024
Pré-publication, Document de travail
hal-04554516v1
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