• 694 Citations
  • 14 h-Index
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Fingerprint Dive into the research topics where Nicolas Boumal is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 1 Similar Profiles
Synchronization Engineering & Materials Science
Maximum likelihood Engineering & Materials Science
Low-rank Matrices Mathematics
Cost functions Engineering & Materials Science
Semidefinite Program Mathematics
Phase Synchronization Mathematics
Polynomials Engineering & Materials Science
Matrix Completion Mathematics

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Projects 2017 2020

Research Output 2011 2020

  • 694 Citations
  • 14 h-Index
  • 16 Article
  • 9 Conference contribution
  • 3 Conference article

Deterministic Guarantees for Burer-Monteiro Factorizations of Smooth Semidefinite Programs

Boumal, N., Jan 1 2019, (Accepted/In press) In : Communications on Pure and Applied Mathematics. 73, 3, p. 581-608 28 p.

Princeton University

Research output: Contribution to journalArticle

Semidefinite Program
Cost functions
Equality Constraints
Global Optimum
13 Citations (Scopus)

Global rates of convergence for nonconvex optimization on manifolds

Boumal, N., Jan 1 2019, In : IMA Journal of Numerical Analysis. 39, 1, p. 1-33 33 p.

Princeton University

Research output: Contribution to journalArticle

Nonconvex Optimization
Constrained optimization
Cost functions
Trust Region
Rate of Convergence
1 Citation (Scopus)
Equality Constraints
Riemannian Manifold
Euclidean space
Exact Penalty
Augmented Lagrangian Method
4 Citations (Scopus)

3D ab initio modeling in cryo-EM by autocorrelation analysis

Boumal, N. A. S. & Singer, A., May 23 2018, 2018 IEEE 15th International Symposium on Biomedical Imaging, ISBI 2018. IEEE Computer Society, p. 1569-1573 5 p. (Proceedings - International Symposium on Biomedical Imaging; vol. 2018-April).

Princeton University

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Cryoelectron Microscopy
Electron microscopy
15 Citations (Scopus)

Bispectrum Inversion with Application to Multireference Alignment

Boumal, N. & Singer, A., Feb 15 2018, In : IEEE Transactions on Signal Processing. 66, 4, p. 1037-1050 14 p., 8115200.

Princeton University

Research output: Contribution to journalArticle

Integer programming
Power spectrum
Signal to noise ratio