Search Results for author: Gennady Samorodnitsky

Found 12 papers, 1 papers with code

Empirical Risk Minimization for Losses without Variance

no code implementations7 Sep 2023 Guanhua Fang, Ping Li, Gennady Samorodnitsky

This paper considers an empirical risk minimization problem under heavy-tailed settings, where data does not have finite variance, but only has $p$-th moment with $p \in (1, 2)$.

Epsilon*: Privacy Metric for Machine Learning Models

no code implementations21 Jul 2023 Diana M. Negoescu, Humberto Gonzalez, Saad Eddin Al Orjany, Jilei Yang, Yuliia Lut, Rahul Tandra, Xiaowen Zhang, Xinyi Zheng, Zach Douglas, Vidita Nolkha, Parvez Ahammad, Gennady Samorodnitsky

We introduce Epsilon*, a new privacy metric for measuring the privacy risk of a single model instance prior to, during, or after deployment of privacy mitigation strategies.

Inference Attack Membership Inference Attack

Adaptive Privacy Composition for Accuracy-first Mechanisms

no code implementations NeurIPS 2023 Ryan Rogers, Gennady Samorodnitsky, Zhiwei Steven Wu, Aaditya Ramdas

In many practical applications of differential privacy, practitioners seek to provide the best privacy guarantees subject to a target level of accuracy.

A Cover Time Study of a non-Markovian Algorithm

no code implementations8 Jun 2023 Guanhua Fang, Gennady Samorodnitsky, Zhiqiang Xu

In this work, we stand on a theoretical perspective and show that the negative feedback strategy (a count-based exploration method) is better than the naive random walk search.

Kernel PCA for multivariate extremes

no code implementations23 Nov 2022 Marco Avella-Medina, Richard A. Davis, Gennady Samorodnitsky

We propose kernel PCA as a method for analyzing the dependence structure of multivariate extremes and demonstrate that it can be a powerful tool for clustering and dimension reduction.

Dimensionality Reduction

On Penalization in Stochastic Multi-armed Bandits

no code implementations15 Nov 2022 Guanhua Fang, Ping Li, Gennady Samorodnitsky

We study an important variant of the stochastic multi-armed bandit (MAB) problem, which takes penalization into consideration.

Fairness Multi-Armed Bandits

Catoni-style Confidence Sequences under Infinite Variance

no code implementations5 Aug 2022 Sujay Bhatt, Guanhua Fang, Ping Li, Gennady Samorodnitsky

In this paper, we provide an extension of confidence sequences for settings where the variance of the data-generating distribution does not exist or is infinite.

valid

Detection of Small Holes by the Scale-Invariant Robust Density-Aware Distance (RDAD) Filtration

1 code implementation16 Apr 2022 Chunyin Siu, Gennady Samorodnitsky, Christina Lee Yu, Andrey Yao

A novel topological-data-analytical (TDA) method is proposed to distinguish, from noise, small holes surrounded by high-density regions of a probability density function.

Density Estimation

Spectral learning of multivariate extremes

no code implementations15 Nov 2021 Marco Avella Medina, Richard A. Davis, Gennady Samorodnitsky

We propose a spectral clustering algorithm for analyzing the dependence structure of multivariate extremes.

Clustering

A new look at fairness in stochastic multi-armed bandit problems

no code implementations29 Sep 2021 Guanhua Fang, Ping Li, Gennady Samorodnitsky

Under such a framework, we propose a hard-threshold UCB-like algorithm, which enjoys many merits including asymptotic fairness, nearly optimal regret, better tradeoff between reward and fairness.

Fairness

Extreme Bandits using Robust Statistics

no code implementations9 Sep 2021 Sujay Bhatt, Ping Li, Gennady Samorodnitsky

We consider a multi-armed bandit problem motivated by situations where only the extreme values, as opposed to expected values in the classical bandit setting, are of interest.

Sign Stable Projections, Sign Cauchy Projections and Chi-Square Kernels

no code implementations5 Aug 2013 Ping Li, Gennady Samorodnitsky, John Hopcroft

The method of stable random projections is popular for efficiently computing the Lp distances in high dimension (where 0<p<=2), using small space.

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