High‐dimensional Statistics: A Non‐asymptotic Viewpoint, Martin J.Wainwright, Cambridge University Press, 2019, xvii 552 pages, £57.99, hardback ISBN: 978‐1‐1084‐9802‐9
By G. Alastair Young. 2020
1,625 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Statistics and Probability, Statistical Learning Theory
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Michael I. Jordan
- Stefan Wager
- Susan Athey
- Percy Liang
- John C. Duchi
- David M. Blei
- Liwei Wang
- Nathan Kallus
In Statistics and Probability
- Stefan Wager
- Susan Athey
- Nathan Kallus
- Aaditya Ramdas
- Angela Zhou
- John C. Duchi
- Guido W. Imbens
- Michael I. Jordan
In Statistical Learning Theory
- Susan Athey
- Stefan Wager
- John C. Duchi
- Michael I. Jordan
- Nathan Kallus
- Jon D. McAuliffe
- Aaditya Ramdas
- Tianle Cai
Citations in the corpus
- The Right Complexity Measure in Locally Private Estimation: It is not the Fisher Information (2018, methodology): “We begin with a result essentially due to Yu [56, Lemma 1] (see also [52]), known as the generalized Le Cam’s method.”
- Policy Learning With Observational Data (2017, methodology): “Linear Rules The VC-dimension of the class of linear decision rules is (Wainwright, 2019, p. 116 Thus, our approach applies to linear decision rules in dimension p n ≤ n β for some β < 1 / 2.”
- Time-uniform Chernoff bounds via nonnegative supermartingales (2018, background): “This argument is adapted from Wainwright (2017), though the idea originates in Oliveira (2010b).”
- Adversarially Robust Generalization Just Requires More Unlabeled Data (2019, methodology): “(Concentration of covariance estimation, see Corollary 8.7 in [42]).”
- AUTO-ENCODING VARIATIONAL BAYES (2020, positive): “From the invariance properties of Gaussian distributions [31], our next lemma gives concentration bounds for the log-ratio statistics under the posterior.”
- Convex Formulations for Fair Principal Component Analysis (2018, neutral): “Recall that V ( F c ) = d +1 (Shorack and Wellner 2009), and that V ( F v ) = d + 1 (Wainwright 2017).”