• 694 Citations
  • 14 h-Index
20112020
If you made any changes in Pure, your changes will be visible here soon.

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

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

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
Factorization
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
Autocorrelation
Electron microscopy
Molecules
Refining
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