Nicolas Boumal

3.5k citations
39 papers · 1.2k indexed · 1 hit paper · h-index 17
Topics
Sparse and Compressive Sensing Techniques (18 papers)Advanced Optimization Algorithms Research (6 papers)Stochastic Gradient Optimization Techniques (5 papers)

In The Last Decade

Nicolas Boumal

38 papers receiving 1.2k citations

Hit Papers

An Introduction to Optimization on Smooth Manifolds2023202620242025202350100150200

Peers

Nicolas Boumal
Comparison fields: 5 of 86
  • Computational Mechanics 495
  • Computer Vision and Pattern Recognition 228
  • Artificial Intelligence 213
  • Aerospace Engineering 209
  • Numerical Analysis 207
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Citations per field
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Citations per year

Countries citing papers authored by Nicolas Boumal

Since Specialization
Citations

This map shows the geographic impact of Nicolas Boumal's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Nicolas Boumal with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Nicolas Boumal more than expected).

Fields of papers citing papers by Nicolas Boumal

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Nicolas Boumal. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Nicolas Boumal. The network helps show where Nicolas Boumal may publish in the future.

Co-authorship network of co-authors of Nicolas Boumal

This figure shows the co-authorship network connecting the top 25 collaborators of Nicolas Boumal. A scholar is included among the top collaborators of Nicolas Boumal based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Nicolas Boumal. Nicolas Boumal is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
#WorkIndexed citations
1 6
2 3
3 1
4 3
5 9
6 7
7 11
8 12
9
Efficiently escaping saddle points on manifolds
6
10
Adaptive regularization with cubics on manifolds with a first-order analysis
2
11
Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form
2
12 43
13
On the low-rank approach for semidefinite programs arising in synchronization and community detection
23
14 6
15 73
16 10
17 3
18
Expected performance bounds for estimation on graphs from random relative measurements.
1
19 28
20
RTRMC: A Riemannian trust-region method for low-rank matrix completion
93

About Nicolas Boumal

Nicolas Boumal is a scholar working on Computational Mathematics, Structural Biology and Numerical Analysis, having authored 39 papers that have together received 1.2k indexed citations. Recurring topics across this work include Sparse and Compressive Sensing Techniques (18 papers), Advanced Optimization Algorithms Research (6 papers) and Stochastic Gradient Optimization Techniques (5 papers). The work is most often cited by research in Computational Mathematics (69 citations), Numerical Analysis (207 citations) and Structural Biology (47 citations). Nicolas Boumal has collaborated with scholars based in United States, Belgium and Switzerland. Frequent co-authors include Pierre-Antoine Absil, P.-A. Absil, Amit Singer, Coralia Cartis, Changshuo Liu, Afonso S. Bandeira, Yiqiao Zhong, Tamir Bendory, Vincent D. Blondel and Chao Ma. Their work appears in journals such as IEEE Transactions on Image Processing, IEEE Transactions on Signal Processing and Mathematical Programming.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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