We consider a problem of considerable practical interest: the recovery of a data matrix from a sampling of its entries. Suppose that we observe m entries selected uniformly at random from a matrix M. Can we complete the matrix and recover the entries that we have not seen? We show that one can perfectly recover…
Foundations of Computational Mathematics Template
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About the Foundations of Computational Mathematics format
Foundations of Computational Mathematics is a peer-reviewed journal published by Springer Nature, covering Polynomial and algebraic computation, Sparse and Compressive Sensing Techniques, Advanced Numerical Methods in Computational Mathematics.
| Publisher | Springer Nature |
|---|---|
| Reference style | Superscript numbered (Nature) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Foundations of Computational Mathematics 12, 45–58 (2023).
Formats any DOI in Foundations of Computational Mathematics style. No sign-up. |
| Publishes research in | Polynomial and algebraic computation Sparse and Compressive Sensing Techniques Advanced Numerical Methods in Computational Mathematics Numerical methods for differential equations Topological and Geometric Data Analysis |
| ISSN | 1615-3375 |
| Citation impact (2-yr) | 2.05 |
| h-index | 84 |
| i10-index | 498 |
| Total citations | 38,957 |
| Article processing charge | $2,990 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | link.springer.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Foundations of Computational Mathematics per year
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Most-cited papers in Foundations of Computational Mathematics
This paper presents new probability inequalities for sums of independent, random, self-adjoint matrices. These results place simple and easily verifiable hypotheses on the summands, and they deliver strong conclusions about the large-deviation behavior of the maximum eigenvalue of the sum. Tail bounds for the norm of a sum of random rectangular matrices follow as an…