Discrete regression methods on the cone of positive-definite matrices. - Nicolas Boumal; Pierre-Antoine Absil (ICASSP, 2011)

RTRMC: A Riemannian trust-region method for low-rank matrix completion. - Nicolas Boumal; Pierre-Antoine Absil (NIPS, 2011)

Cramér-Rao bounds for synchronization of rotations - Nicolas Boumal; Amit Singer; Pierre-Antoine Absil; Vincent D. Blondel (CoRR, 2012)

Robust estimation of rotations from relative measurements by maximum likelihood. - Nicolas Boumal; Amit Singer; Pierre-Antoine Absil (CDC, 2013)

Interpolation and Regression of Rotation Matrices. - Nicolas Boumal (GSI, 2013)

Estimation of a Multi-fascicle Model from Single B-Value Data with a Population-Informed Prior. - Maxime Taquet; Benoit Scherrer; Nicolas Boumal; Benoît Macq; Simon K. Warfield (MICCAI (1), 2013)

Expected performance bounds for estimation on graphs from random relative measurements. - Nicolas Boumal; Xiuyuan Cheng (CoRR, 2013)

On Intrinsic Cramér-Rao Bounds for Riemannian Submanifolds and Quotient Manifolds. - Nicolas Boumal (IEEE Trans. Signal Process., 2013)

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

A Riemannian subgradient algorithm for economic dispatch with valve-point effect. - Pierre B. Borckmans; S. Easter Selvan; Nicolas Boumal; Pierre-Antoine Absil (J. Comput. Appl. Math., 2014)

Manopt, a matlab toolbox for optimization on manifolds. - Nicolas Boumal; Bamdev Mishra; Pierre-Antoine Absil; Rodolphe Sepulchre (J. Mach. Learn. Res., 2014)

Concentration of the Kirchhoff index for Erdős-Rényi graphs. - Nicolas Boumal; Xiuyuan Cheng (Syst. Control. Lett., 2014)

Optimization and estimation on manifolds. - Nicolas Boumal (2014)

Riemannian Trust Regions with Finite-Difference Hessian Approximations are Globally Convergent. - Nicolas Boumal (GSI, 2015)

A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints. - Nicolas Boumal (CoRR, 2015)

Improved fidelity of brain microstructure mapping from single-shell diffusion MRI. - Maxime Taquet; Benoit Scherrer; Nicolas Boumal; Jurriaan M. Peters; Benoît Macq; Simon K. Warfield (Medical Image Anal., 2015)

On the low-rank approach for semidefinite programs arising in synchronization and community detection. - Afonso S. Bandeira; Nicolas Boumal; Vladislav Voroninski (COLT, 2016)

The non-convex Burer-Monteiro approach works on smooth semidefinite programs. - Nicolas Boumal; Vladislav Voroninski; Afonso S. Bandeira (NIPS, 2016)

Nonconvex Phase Synchronization. - Nicolas Boumal (SIAM J. Optim., 2016)

Tightness of the maximum likelihood semidefinite relaxation for angular synchronization. - Afonso S. Bandeira; Nicolas Boumal; Amit Singer (Math. Program., 2017)

Heterogeneous multireference alignment: A single pass approach. - Nicolas Boumal; Tamir Bendory; Roy R. Lederman; Amit Singer (CISS, 2018)

Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form. - Srinadh Bhojanapalli; Nicolas Boumal; Prateek Jain 002; Praneeth Netrapalli (COLT, 2018)

3D ab initio modeling in cryo-EM by autocorrelation analysis. - Eitan Levin; Tamir Bendory; Nicolas Boumal; Joe Kileel 001; Amit Singer (ISBI, 2018)

Smoothed analysis of the low-rank approach for smooth semidefinite programs. - Thomas Pumir; Samy Jelassi; Nicolas Boumal (NeurIPS, 2018)

Near-Optimal Bounds for Phase Synchronization. - Yiqiao Zhong; Nicolas Boumal (SIAM J. Optim., 2018)

Non-Convex Phase Retrieval From STFT Measurements. - Tamir Bendory; Yonina C. Eldar; Nicolas Boumal (IEEE Trans. Inf. Theory, 2018)

Bispectrum Inversion With Application to Multireference Alignment. - Tamir Bendory; Nicolas Boumal; Chao Ma 012; Zhizhen Zhao 001; Amit Singer (IEEE Trans. Signal Process., 2018)

Efficiently escaping saddle points on manifolds. - Chris Criscitiello; Nicolas Boumal (NeurIPS, 2019)

Multi-target detection with application to cryo-electron microscopy. - Tamir Bendory; Nicolas Boumal; William E. Leeb; Eitan Levin; Amit Singer (CoRR, 2019)

Heterogeneous Multireference Alignment for Images With Application to 2D Classification in Single Particle Reconstruction. - Chao Ma 012; Tamir Bendory; Nicolas Boumal; Fred J. Sigworth; Amit Singer (IEEE Trans. Image Process., 2020)

Multi-Target Detection With an Arbitrary Spacing Distribution. - Ti-Yen Lan; Tamir Bendory; Nicolas Boumal; Amit Singer (IEEE Trans. Signal Process., 2020)

Generalization of Quasi-Newton Methods: Application to Robust Symmetric Multisecant Updates. - Damien Scieur; Lewis Liu; Thomas Pumir; Nicolas Boumal (AISTATS, 2021)

Random Conical Tilt Reconstruction without Particle Picking in Cryo-electron Microscopy. - Ti-Yen Lan; Nicolas Boumal; Amit Singer (CoRR, 2021)

Negative curvature obstructs acceleration for geodesically convex optimization, even with exact first-order oracles. - Christopher Criscitiello; Nicolas Boumal (CoRR, 2021)

Adaptive regularization with cubics on manifolds. - Naman Agarwal; Nicolas Boumal; Brian Bullins; Coralia Cartis (Math. Program., 2021)

Negative curvature obstructs acceleration for strongly geodesically convex optimization, even with exact first-order oracles. - Christopher Criscitiello; Nicolas Boumal (COLT, 2022)

Curvature and complexity: Better lower bounds for geodesically convex optimization. - Christopher Criscitiello; Nicolas Boumal (COLT, 2023)

Open Problem: Polynomial linearly-convergent method for g-convex optimization? - Christopher Criscitiello; David Martínez-Rubio; Nicolas Boumal (COLT, 2023)

Open Problem: Polynomial linearly-convergent method for geodesically convex optimization? - Christopher Criscitiello; David Martínez-Rubio; Nicolas Boumal (CoRR, 2023)

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy. - Eitan Levin; Joe Kileel 001; Nicolas Boumal (Math. Program., 2023)

Toward Single Particle Reconstruction without Particle Picking: Breaking the Detection Limit. - Tamir Bendory; Nicolas Boumal; William E. Leeb; Eitan Levin; Amit Singer (SIAM J. Imaging Sci., 2023)

An Accelerated First-Order Method for Non-convex Optimization on Manifolds. - Christopher Criscitiello; Nicolas Boumal (Found. Comput. Math., 2023)

Synchronization on circles and spheres with nonlinear interactions. - Christopher Criscitiello; Quentin Rebjock; Andrew D. McRae; Nicolas Boumal (CoRR, 2024)

Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees. - Quentin Rebjock; Nicolas Boumal (CoRR, 2024)

Benign Landscapes of Low-Dimensional Relaxations for Orthogonal Synchronization on General Graphs. - Andrew D. McRae; Nicolas Boumal (SIAM J. Optim., 2024)

Computing Second-Order Points Under Equality Constraints: Revisiting Fletcher's Augmented Lagrangian. - Florentin Goyens; Armin Eftekhari; Nicolas Boumal (J. Optim. Theory Appl., 2024)

The effect of smooth parametrizations on nonconvex optimization landscapes. - Eitan Levin; Joe Kileel 001; Nicolas Boumal (Math. Program., 2025)

Gradient descent avoids strict saddles with a simple line-search method too. - Andreea-Alexandra Musat; Nicolas Boumal (CoRR, 2025)

Sensor network localization has a benign landscape after low-dimensional relaxation. - Christopher Criscitiello; Andrew D. McRae; Quentin Rebjock; Nicolas Boumal (CoRR, 2025)

Fast convergence to non-isolated minima: four equivalent conditions for rmC2 functions. - Quentin Rebjock; Nicolas Boumal (Math. Program., 2025)

Fast convergence of trust-regions for non-isolated minima via analysis of CG on indefinite matrices. - Quentin Rebjock; Nicolas Boumal (Math. Program., 2025)