#### 103 Citations

Memoryless scalar quantization for random frames

- Mathematics, Computer Science
- ArXiv
- 2018

This work rigorously establishes sharp non-asymptotic error bounds without using the WNH that explain the observed decay rate, and extends this approach to the compressed sensing setting, obtaining rigorous error bounds that agree with empirical observations. Expand

Weakly Sub-Gaussian Random Elements in Banach Spaces

- Mathematics
- 2005

We give a survey of properties of weakly sub-Gaussian random elements in infinite-dimensional spaces. Some new results and examples are also given.

Valid Statistical Inference on Automatically Matched Files

- Mathematics, Computer Science
- Privacy in Statistical Databases
- 2012

A statistical process for determining a confidence set for an unknown bipartite matching that permits efficient analysis of the matched data, e.g., using linear regression, while maintaining the proper degree of uncertainty about the linkage itself. Expand

Contextual Bandits with Random Projection

- Mathematics, Computer Science
- ArXiv
- 2019

This paper develops an algorithm of Contextual Bandits via RAndom Projection in the setting of linear payoffs, which works especially for high-dimensional contextual data and provides a linear upper regret bound for the proposed algorithm, which is associated with reduced dimensions. Expand

Gaussian approximation of maxima of Wiener functionals and its application to high-frequency data

- Mathematics
- The Annals of Statistics
- 2019

This paper establishes an upper bound for the Kolmogorov distance between the maximum of a high-dimensional vector of smooth Wiener functionals and the maximum of a Gaussian random vector. As a… Expand

Optimal estimation of Gaussian mixtures via denoised method of moments

- Mathematics
- 2018

The Method of Moments [Pea94] is one of the most widely used methods in statistics for parameter estimation, by means of solving the system of equations that match the population and estimated… Expand

Concentration of measure for block diagonal measurement matrices

- Mathematics, Computer Science
- 2010 IEEE International Conference on Acoustics, Speech and Signal Processing
- 2010

This paper derives a concentration of measure bound for block diagonal matrices where the nonzero entries along the main diagonal blocks are i.i.d. subgaussian random variables and states that the concentration exponent, in the best case, scales as that for a fully dense matrix. Expand

A Good Representation Detects Noisy Labels

- Computer Science
- ArXiv
- 2021

Given good representations that are commonly available in practice, given good representations, this paper proposes a universally applicable and training-free solution to detect noisy labels and theoretically analyze how they affect the local voting and provide guidelines for tuning neighborhood size. Expand

Adaptive function-on-scalar regression with a smoothing elastic net

- Computer Science, Mathematics
- J. Multivar. Anal.
- 2021

A regularization method in the style of an adaptive Elastic Net penalty that involves mixing two types of functional norms, providing a fine tune control of both the smoothing and variable selection in the estimated model. Expand

Bounding Information Leakage in Machine Learning

- Computer Science, Mathematics
- ArXiv
- 2021

This paper identifies and bound the success rate of the worst-case membership inference attack, connecting it to the generalization error of the target model, and derives bounds on the mutual information between the sensitive attributes and model parameters. Expand

#### References

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Sub-Gaussian processes and convergence of random series in functional spaces

- Mathematics
- 1977

the random process which can be presented by this series can be chosen to be continuous with probability one. The Hunt condition, besides being simple, is also interesting in that it is invariant… Expand

Inequalities for Ising models and field theories which obey the Lee-Yang Theorem

- Mathematics
- 1975

A series of inequalities for partition, correlation, and Ursell functions are derived as consequences of the Lee-Yang Theorem. In particular, then-point Schwinger functions ofeven φ4 models are… Expand

Sums of Independent Random Variables

- Mathematics
- 1975

I. Probability Distributions and Characteristic Functions.- 1. Random variables and probability distributions.- 2. Characteristic functions.- 3. Inversion formulae.- 4. The convergence of sequences… Expand

Sufficient conditions for the continuity of stationary gaussian processes and applications to random series of functions

- Mathematics
- 1974

The Sizes of Compact Subsets of Hilbert Space and Continuity of Gaussian Processes

- Mathematics
- 1967

The first two sections of this paper are introductory and correspond to the two halves of the title. As is well known, there is no complete analog of Lebesue or Haar measure in an… Expand