Ahlswede, R., and A. Winter. 2002. “Strong Converse for Identification via Quantum Channels.” IEEE Transactions on Information Theory
48 (3): 569–79.
Ando, T. 1995. “Matrix Young Inequalities.”
In Operator Theory in Function Spaces and Banach Lattices: Essays Dedicated to A.C. Zaanen on the Occasion of His 80th Birthday
, edited by C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, and B. de Pagter, 33–38. Operator Theory Advances and Applications. Basel: Birkhäuser.
Bakherad, Mojtaba, Mario Krnic, and Mohammad Sal Moslehian. 2016. “Reverses of the Young Inequality for Matrices and Operators.” Rocky Mountain Journal of Mathematics
Bhatia, Rajendra. 1997. Matrix Analysis
. Vol. 169. Graduate Texts in Mathematics. New York, NY: Springer.
Bhatia, Rajendra, and K. R. Parthasarathy. 2000. “Positive Definite Functions and Operator Inequalities.” Bulletin of the London Mathematical Society
32 (2): 214–28.
Bishop, Adrian N., Pierre Del Moral, and Angèle Niclas. 2018. “An Introduction to Wishart Matrix Moments.” Foundations and Trends® in Machine Learning
11 (2): 97–218.
Boucheron, Stéphane, Gábor Lugosi, and Pascal Massart. 2013. Concentration Inequalities: A Nonasymptotic Theory of Independence. 1st ed. Oxford: Oxford University Press.
Bousquet, Olivier, Ulrike von Luxburg, and Gunnar Rtsch. 2004. Advanced Lectures on Machine Learning: ML Summer Schools 2003, Canberra, Australia, February 2-14, 2003, T Bingen, Germany, August 4-16, 2003, Revised Lectures. Springer.
Brault, Romain, Florence d’Alché-Buc, and Markus Heinonen. 2016. “Random Fourier Features for Operator-Valued Kernels.”
In Proceedings of The 8th Asian Conference on Machine Learning
Camino, Juan F., John William Helton, Robert E. Skelton, and Jieping Ye. 2003. “Matrix Inequalities: A Symbolic Procedure to Determine Convexity Automatically.” Integral Equation and Operator Theory 46 (4): 399–454.
Candès, Emmanuel J., and Benjamin Recht. 2009. “Exact Matrix Completion via Convex Optimization.” Foundations of Computational Mathematics
9 (6): 717–72.
Conde, Cristian. 2013. “Young Type Inequalities for Positive Operators.” Annals of Functional Analysis 4 (2): 144–52.
Geer, Sara van de. 2014. “Statistical Theory for High-Dimensional Models.” arXiv:1409.8557 [Math, Stat]
Gross, D. 2011. “Recovering Low-Rank Matrices From Few Coefficients in Any Basis.” IEEE Transactions on Information Theory
57 (3): 1548–66.
Gross, David, Yi-Kai Liu, Steven T. Flammia, Stephen Becker, and Jens Eisert. 2010. “Quantum State Tomography via Compressed Sensing.” Physical Review Letters
Handel, Ramon van. 2017. “Structured Random Matrices.”
In Convexity and Concentration
, edited by Eric Carlen, Mokshay Madiman, and Elisabeth M. Werner, 107–56. The IMA Volumes in Mathematics and Its Applications. New York, NY: Springer.
Hirzallah, Omar, and Fuad Kittaneh. 2000. “Matrix Young Inequalities for the Hilbert–Schmidt Norm.” Linear Algebra and Its Applications
308 (1): 77–84.
Liao, Wenshi, and Junliang Wu. 2015. “Reverse Arithmetic-Harmonic Mean and Mixed Mean Operator Inequalities.” Journal of Inequalities and Applications
2015 (1): 215.
Lodhia, Asad, Keith Levin, and Elizaveta Levina. 2021. “Matrix Means and a Novel High-Dimensional Shrinkage Phenomenon.”
Magnus, Jan R., and Heinz Neudecker. 2019. Matrix differential calculus with applications in statistics and econometrics
. 3rd ed. Wiley series in probability and statistics. Hoboken (N.J.): Wiley.
Mahoney, Michael W. 2016. “Lecture Notes on Spectral Graph Methods.” arXiv Preprint arXiv:1608.04845
Mohri, Mehryar, Afshin Rostamizadeh, and Ameet Talwalkar. 2018. Foundations of Machine Learning. Second edition. Adaptive Computation and Machine Learning. Cambridge, Massachusetts: The MIT Press.
Oliveira, Roberto Imbuzeiro. 2010. “The Spectrum of Random \(k\)-Lifts of Large Graphs (with Possibly Large \(k\)).” Journal of Combinatorics
1 (3): 285–306.
Paulin, Daniel, Lester Mackey, and Joel A. Tropp. 2016. “Efron–Stein Inequalities for Random Matrices.” The Annals of Probability
44 (5): 3431–73.
Sababheh, Mohammad. 2018. “On the Matrix Harmonic Mean.”
Sharma, Rajesh. 2008. “Some More Inequalities for Arithmetic Mean, Harmonic Mean and Variance.” Journal of Mathematical Inequalities
, no. 1: 109–14.
Tropp, Joel. 2019. Matrix Concentration & Computational Linear Algebra / ENS Short Course.
Uchiyama, Mitsuru. 2020. “Some Results on Matrix Means.” Advances in Operator Theory
5 (3): 728–33.
Vershynin, Roman. 2011. “Introduction to the Non-Asymptotic Analysis of Random Matrices.” arXiv:1011.3027 [Cs, Math]
———. 2015. “Estimation in High Dimensions: A Geometric Perspective.”
In Sampling Theory, a Renaissance: Compressive Sensing and Other Developments
, edited by Götz E. Pfander, 3–66. Applied and Numerical Harmonic Analysis. Cham: Springer International Publishing.
Woodruff, David P. 2014. Sketching as a Tool for Numerical Linear Algebra
. Foundations and Trends in Theoretical Computer Science 1.0. Now Publishers.
No comments yet. Why not leave one?