Patrick L. Combettes

23.2k total citations · 5 hit papers
126 papers, 11.1k citations indexed

About

Patrick L. Combettes is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, Patrick L. Combettes has authored 126 papers receiving a total of 11.1k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Computational Theory and Mathematics, 52 papers in Computational Mechanics and 48 papers in Numerical Analysis. Recurrent topics in Patrick L. Combettes's work include Sparse and Compressive Sensing Techniques (49 papers), Optimization and Variational Analysis (49 papers) and Advanced Optimization Algorithms Research (44 papers). Patrick L. Combettes is often cited by papers focused on Sparse and Compressive Sensing Techniques (49 papers), Optimization and Variational Analysis (49 papers) and Advanced Optimization Algorithms Research (44 papers). Patrick L. Combettes collaborates with scholars based in France, United States and Canada. Patrick L. Combettes's co-authors include Heinz H. Bauschke, Valérie R. Wajs, Jean‐Christophe Pesquet, D. Lüke, Jonathan M. Borwein, Bằng Công Vũ, Luis M. Briceño-Arias, H.J. Trussell, Caroline Chaux and Teemu Pennanen and has published in prestigious journals such as SHILAP Revista de lepidopterología, IEEE Transactions on Pattern Analysis and Machine Intelligence and Proceedings of the IEEE.

In The Last Decade

Patrick L. Combettes

118 papers receiving 10.4k citations

Hit Papers

Convex Analysis and Monot... 2002 2026 2010 2018 2011 2005 2017 2011 2002 500 1000 1.5k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Convex Analysis and Monotone Operator Theory in Hilbert Spaces
    2011 1.9k citations Heinz H. Bauschke, Patrick L. Combettes HAL (Le Centre pour la Communication Scientifique Directe) profile →
  2. Signal Recovery by Proximal Forward-Backward Splitting
    2005 1.8k citations Patrick L. Combettes et al. profile →
  3. Convex Analysis and Monotone Operator Theory in Hilbert Spaces
    2017 1.4k citations Heinz H. Bauschke, Patrick L. Combettes profile →
  4. Fixed-Point Algorithms for Inverse Problems in Science and Engineering
    2011 351 citations Patrick L. Combettes et al. profile →
  5. Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization
    2002 341 citations Heinz H. Bauschke, Patrick L. Combettes et al. profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Patrick L. Combettes 5.1k 4.9k 4.0k 2.2k 2.1k 126 11.1k
Heinz H. Bauschke 5.5k 1.1× 2.6k 0.5× 4.3k 1.1× 805 0.4× 1.5k 0.7× 131 8.5k
Marc Teboulle 3.2k 0.6× 6.8k 1.4× 3.3k 0.8× 3.6k 1.6× 1.5k 0.7× 95 14.9k
Yair Censor 6.4k 1.3× 1.9k 0.4× 5.1k 1.3× 444 0.2× 1.2k 0.6× 133 9.2k
Ronald DeVore 1.6k 0.3× 5.5k 1.1× 2.0k 0.5× 3.9k 1.7× 1.5k 0.7× 163 13.0k
James Demmel 6.8k 1.3× 2.8k 0.6× 2.6k 0.7× 1.3k 0.6× 371 0.2× 289 17.8k
Roland Glowinski 4.8k 0.9× 9.3k 1.9× 2.1k 0.5× 629 0.3× 1.1k 0.5× 268 14.1k
Liqun Qi 9.4k 1.8× 2.7k 0.6× 6.8k 1.7× 454 0.2× 335 0.2× 433 15.6k
Charles A. Micchelli 1.7k 0.3× 3.7k 0.7× 1.2k 0.3× 2.3k 1.0× 961 0.5× 214 8.6k
Antonin Chambolle 1.9k 0.4× 3.7k 0.7× 840 0.2× 3.8k 1.7× 1.5k 0.7× 134 8.9k
William W. Hager 3.2k 0.6× 3.0k 0.6× 3.7k 0.9× 941 0.4× 442 0.2× 166 10.6k

Countries citing papers authored by Patrick L. Combettes

Since Specialization
Citations

This map shows the geographic impact of Patrick L. Combettes'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 Patrick L. Combettes with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Patrick L. Combettes more than expected).

Fields of papers citing papers by Patrick L. Combettes

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Patrick L. Combettes. 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 Patrick L. Combettes. The network helps show where Patrick L. Combettes may publish in the future.

Co-authorship network of co-authors of Patrick L. Combettes

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick L. Combettes. A scholar is included among the top collaborators of Patrick L. Combettes 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 Patrick L. Combettes. Patrick L. Combettes 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
1.
Combettes, Patrick L., et al.. (2024). Integral Resolvent and Proximal Mixtures. Journal of Optimization Theory and Applications. 203(3). 2328–2353. 1 indexed citations
2.
Combettes, Patrick L.. (2024). The geometry of monotone operator splitting methods. Acta Numerica. 33. 487–632. 3 indexed citations
3.
Combettes, Patrick L.. (2023). Resolvent and Proximal Compositions. Set-Valued and Variational Analysis. 31(3). 6 indexed citations
4.
Combettes, Patrick L., et al.. (2021). Solving Composite Fixed Point Problems with Block Updates. SHILAP Revista de lepidopterología. 5 indexed citations
5.
Combettes, Patrick L., Saverio Salzo, & Silvia Villa. (2018). Regularized learning schemes in feature Banach spaces. IRIS Research product catalog (Sapienza University of Rome). 9 indexed citations
6.
Combettes, Patrick L. & Jean‐Christophe Pesquet. (2017). Stochastic Quasi-Fej\\'er Block-Coordinate Fixed Point Iterations With\n Random Sweeping II: Mean-Square and Linear Convergence. arXiv (Cornell University). 12 indexed citations
7.
Combettes, Patrick L. & Jean‐Christophe Pesquet. (2016). Stochastic Approximations and Perturbations in Forward-Backward Splitting for Monotone Operators. HAL (Le Centre pour la Communication Scientifique Directe). 2 indexed citations
8.
Combettes, Patrick L. & Isao Yamada. (2014). Compositions and convex combinations of averaged nonexpansive operators. Journal of Mathematical Analysis and Applications. 425(1). 55–70. 53 indexed citations
9.
Bauschke, Heinz H. & Patrick L. Combettes. (2011). Convex Analysis and Monotone Operator Theory in Hilbert Spaces. HAL (Le Centre pour la Communication Scientifique Directe). 1946 indexed citations breakdown →
10.
Baillon, Jean-Bernard, Patrick L. Combettes, & Roberto Cominetti. (2011). There is no variational characterization of the cycles in the method of periodic projections. Journal of Functional Analysis. 262(1). 400–408. 13 indexed citations
11.
Combettes, Patrick L., Ðinh Dũng, & Bằng Công Vũ. (2011). Proximity for sums of composite functions. Journal of Mathematical Analysis and Applications. 380(2). 680–688. 39 indexed citations
12.
Combettes, Patrick L., et al.. (2009). Functions with prescribed best linear approximations. Journal of Approximation Theory. 162(5). 1095–1116. 5 indexed citations
13.
Bauschke, Heinz H., Patrick L. Combettes, & D. Lüke. (2006). A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space. Journal of Approximation Theory. 141(1). 63–69. 21 indexed citations
14.
Bauschke, Heinz H., Patrick L. Combettes, & D. Lüke. (2004). Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. Journal of Approximation Theory. 127(2). 178–192. 94 indexed citations
15.
Combettes, Patrick L. & Teemu Pennanen. (2002). Generalized Mann iterates for constructing fixed points in Hilbert spaces. Journal of Mathematical Analysis and Applications. 275(2). 521–536. 33 indexed citations
16.
Combettes, Patrick L. & Ji‐An Luo. (2002). An adaptive level set method for nondifferentiable constrained image recovery. IEEE Transactions on Image Processing. 11(11). 1295–1304. 50 indexed citations
17.
Combettes, Patrick L. & Dominikus Noll. (2001). The method of forward projections. 5 indexed citations
18.
Luo, Ji‐An & Patrick L. Combettes. (1999). A subgradient projection algorithm for nondifferentiable signal recovery.. 452–456.
19.
Combettes, Patrick L. & Jonathan M. Borwein. (1995). Continuous Linear Monotone Operators on Banach Spaces. 4 indexed citations
20.
Combettes, Patrick L., Jonathan M. Borwein, & Adrian S. Lewis. (1994). On the method of cyclic projections for convex sets in Hilbert space. 1 indexed citations

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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