Second-order matrix concentration inequalities

Article Properties
Cite
Tropp, Joel A. “Second-Order Matrix Concentration Inequalities”. Applied and Computational Harmonic Analysis, vol. 44, no. 3, 2018, pp. 700-36, https://doi.org/10.1016/j.acha.2016.07.005.
Tropp, J. A. (2018). Second-order matrix concentration inequalities. Applied and Computational Harmonic Analysis, 44(3), 700-736. https://doi.org/10.1016/j.acha.2016.07.005
Tropp, Joel A. “Second-Order Matrix Concentration Inequalities”. Applied and Computational Harmonic Analysis 44, no. 3 (2018): 700-736. https://doi.org/10.1016/j.acha.2016.07.005.
Tropp JA. Second-order matrix concentration inequalities. Applied and Computational Harmonic Analysis. 2018;44(3):700-36.
Journal Categories
Science
Mathematics
Technology
Engineering (General)
Civil engineering (General)
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
An Introduction to Matrix Concentration Inequalities Foundations and Trends® in Machine Learning
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
172 2015
Matrix concentration inequalities via the method of exchangeable pairs The Annals of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2014
Optimal asymptotic bounds for spherical designs Annals of Mathematics
  • Science: Mathematics
66 2013
User-Friendly Tail Bounds for Sums of Random Matrices Foundations of Computational Mathematics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
421 2012
The masked sample covariance estimator: an analysis using matrix concentration inequalities Information and Inference: A Journal of the IMA
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
16 2012
Citations
Title Journal Journal Categories Citations Publication Date
Sparse Random Hamiltonians Are Quantumly Easy Physical Review X
  • Science: Physics
  • Science: Physics
  • Science: Physics
2024
Matrix concentration inequalities and free probability Inventiones mathematicae
  • Science: Mathematics
2 2023
Upper and Lower Bounds for Matrix Discrepancy Journal of Fourier Analysis and Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
2022
Matrix Concentration for Products Foundations of Computational Mathematics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2 2021
The spectral norm of random lifts of matrices Electronic Communications in Probability 2021
Citations Analysis
The category Science: Mathematics 4 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Fast state tomography with optimal error bounds and was published in 2020. The most recent citation comes from a 2024 study titled Sparse Random Hamiltonians Are Quantumly Easy. This article reached its peak citation in 2021, with 2 citations. It has been cited in 6 different journals, 16% of which are open access. Among related journals, the Physical Review X cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year