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Boumal, Nicolas
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1

Computing Second-Order Points Under Equality Constraints: R..:

Goyens, Florentin ; Eftekhari, Armin ; Boumal, Nicolas
Journal of Optimization Theory and Applications.  201 (2024)  3 - p. 1198-1228 , 2024
Link: https://doi.org/10.1007/..
 
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2

Benign Landscapes of Low-Dimensional Relaxations for Orthog..:

McRae, Andrew D. ; Boumal, Nicolas
SIAM Journal on Optimization.  34 (2024)  2 - p. 1427-1454 , 2024
Link: https://doi.org/10.1137/..
 
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3

The effect of smooth parametrizations on nonconvex optimiza..:

Levin, Eitan ; Kileel, Joe ; Boumal, Nicolas
Mathematical Programming.  , 2024
Link: https://doi.org/10.1007/..
 
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4

An introduction to optimization on smooth manifolds:

Boumal, Nicolas , 2023
Link: https://doi.org/10.1017/..
 
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5

Toward Single Particle Reconstruction without Particle Pick..:

Bendory, Tamir ; Boumal, Nicolas ; Leeb, William..
SIAM Journal on Imaging Sciences.  16 (2023)  2 - p. 886-910 , 2023
Link: https://doi.org/10.1137/..
 
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6

Finding stationary points on bounded-rank matrices: a geome..:

Levin, Eitan ; Kileel, Joe ; Boumal, Nicolas
Mathematical Programming.  199 (2022)  1-2 - p. 831-864 , 2022
Link: https://doi.org/10.1007/..
 
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7

An Accelerated First-Order Method for Non-convex Optimizati..:

Criscitiello, Christopher ; Boumal, Nicolas
Foundations of Computational Mathematics.  23 (2022)  4 - p. 1433-1509 , 2022
Link: https://doi.org/10.1007/..
 
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8

The generalized orthogonal Procrustes problem in the high n..:

Pumir, Thomas ; Singer, Amit ; Boumal, Nicolas
Information and Inference: A Journal of the IMA.  10 (2021)  3 - p. 921-954 , 2021
Link: https://doi.org/10.1093/..
 
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9

Adaptive regularization with cubics on manifolds:

Agarwal, Naman ; Boumal, Nicolas ; Bullins, Brian.
Mathematical Programming.  188 (2020)  1 - p. 85-134 , 2020
Link: https://doi.org/10.1007/..
 
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10

Erratum to: ``Global rates of convergence for nonconvex opt..:

Boumal, Nicolas ; Absil, P-A ; Cartis, Coralia
IMA Journal of Numerical Analysis.  40 (2020)  4 - p. 2940-2940 , 2020
Link: https://doi.org/10.1093/..
 
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11

Simple Algorithms for Optimization on Riemannian Manifolds ..:

Liu, Changshuo ; Boumal, Nicolas
Applied Mathematics & Optimization.  82 (2019)  3 - p. 949-981 , 2019
Link: https://doi.org/10.1007/..
 
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12

Deterministic Guarantees for Burer‐Monteiro Factorizations ..:

Boumal, Nicolas ; Voroninski, Vladislav ; Bandeira, Afonso S.
Communications on Pure and Applied Mathematics.  73 (2019)  3 - p. 581-608 , 2019
Link: https://doi.org/10.1002/..
 
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13

Computational complexity versus statistical performance on ..:

d'Aspremont, Alexandre ; Boumal, Nicolas ; Roulet, Vincent
Information and Inference: A Journal of the IMA.  9 (2019)  1 - p. 1-32 , 2019
Link: https://doi.org/10.1093/..
 
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14

Near-Optimal Bounds for Phase Synchronization:

Zhong, Yiqiao ; Boumal, Nicolas
SIAM Journal on Optimization.  28 (2018)  2 - p. 989-1016 , 2018
Link: https://doi.org/10.1137/..
 
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15

Global rates of convergence for nonconvex optimization on m..:

Cartis, Coralia ; Absil, P-A ; Boumal, Nicolas
IMA Journal of Numerical Analysis.  39 (2018)  1 - p. 1-33 , 2018
Link: https://doi.org/10.1093/..
 
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