Perturbation bounds for eigenspaces under a relative gap condition
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2019/09/20
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Indian UGC (journal)
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Refrences28
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Citations3
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Moritz Jirak
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Martin Wahl
Abstract
Cite
Jirak, Moritz, and Martin Wahl. “Perturbation Bounds for Eigenspaces under a Relative Gap Condition”. Proceedings of the American Mathematical Society, vol. 148, no. 2, 2019, pp. 479-94, https://doi.org/10.1090/proc/14714.
Jirak, M., & Wahl, M. (2019). Perturbation bounds for eigenspaces under a relative gap condition. Proceedings of the American Mathematical Society, 148(2), 479-494. https://doi.org/10.1090/proc/14714
Jirak, Moritz, and Martin Wahl. “Perturbation Bounds for Eigenspaces under a Relative Gap Condition”. Proceedings of the American Mathematical Society 148, no. 2 (2019): 479-94. https://doi.org/10.1090/proc/14714.
Jirak M, Wahl M. Perturbation bounds for eigenspaces under a relative gap condition. Proceedings of the American Mathematical Society. 2019;148(2):479-94.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Concentration inequalities and moment bounds for sample covariance operators | Bernoulli |
| 2017 | |
| Optimal eigen expansions and uniform bounds | Probability Theory and Related Fields |
| 10 | 2016 |
| Asymptotics and concentration bounds for bilinear forms of spectral projectors of sample covariance | 2016 | |||
| A useful variant of the Davis–Kahan theorem for statisticians | Biometrika |
| 171 | 2015 |
| High-Dimensional Principal Projections | Complex Analysis and Operator Theory |
| 13 | 2015 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Relative perturbation bounds with applications to empirical covariance operators | Advances in Mathematics |
| 1 | 2023 |
| Lower bounds for invariant statistical models with applications to principal component analysis | Annales de l'Institut Henri Poincaré, Probabilités et Statistiques |
| 2022 | |
| High-probability bounds for the reconstruction error of PCA | Statistics & Probability Letters |
| 3 | 2020 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 3 |
| Science: Mathematics: Probabilities. Mathematical statistics | 2 |
The category
Science: Mathematics 3
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled High-probability bounds for the reconstruction error of PCA and was published in 2020. The most recent citation comes from a 2023 study titled Relative perturbation bounds with applications to empirical covariance operators. This article reached its peak citation in 2023, with 1 citations. It has been cited in 3 different journals. Among related journals, the Advances in Mathematics cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.