中文
相关论文

相关论文: Robust and differentially private stochastic linea…

200 篇论文

We introduce a new model of stochastic bandits with adversarial corruptions which aims to capture settings where most of the input follows a stochastic pattern but some fraction of it can be adversarially changed to trick the algorithm,…

机器学习 · 计算机科学 2018-03-28 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme

We study the problem of preserving privacy while still providing high utility in sequential decision making scenarios in a changing environment. We consider abruptly changing environment: the environment remains constant during periods and…

机器学习 · 计算机科学 2023-01-03 Pratik Gajane

We study the relationship between adversarial robustness and differential privacy in high-dimensional algorithmic statistics. We give the first black-box reduction from privacy to robustness which can produce private estimators with optimal…

数据结构与算法 · 计算机科学 2024-06-18 Samuel B. Hopkins , Gautam Kamath , Mahbod Majid , Shyam Narayanan

We consider the Max $K$-Armed Bandit problem, where a learning agent is faced with several stochastic arms, each a source of i.i.d. rewards of unknown distribution. At each time step the agent chooses an arm, and observes the reward of the…

机器学习 · 统计学 2015-12-25 Yahel David , Nahum Shimkin

The combinatorial stochastic semi-bandit problem is an extension of the classical multi-armed bandit problem in which an algorithm pulls more than one arm at each stage and the rewards of all pulled arms are revealed. One difference with…

机器学习 · 计算机科学 2016-12-07 Rémy Degenne , Vianney Perchet

In this paper, we aim to develop a scalable algorithm to preserve differential privacy (DP) in adversarial learning for deep neural networks (DNNs), with certified robustness to adversarial examples. By leveraging the sequential composition…

密码学与安全 · 计算机科学 2020-09-16 NhatHai Phan , My T. Thai , Han Hu , Ruoming Jin , Tong Sun , Dejing Dou

We consider a bandit problem which involves sequential sampling from two populations (arms). Each arm produces a noisy reward realization which depends on an observable random covariate. The goal is to maximize cumulative expected reward.…

统计理论 · 数学 2010-03-09 Philippe Rigollet , Assaf Zeevi

We study the stochastic multi-armed bandits problem in the presence of adversarial corruption. We present a new algorithm for this problem whose regret is nearly optimal, substantially improving upon previous work. Our algorithm is agnostic…

机器学习 · 计算机科学 2019-03-29 Anupam Gupta , Tomer Koren , Kunal Talwar

We study finite-armed semiparametric bandits, where each arm's reward combines a linear component with an unknown, potentially adversarial shift. This model strictly generalizes classical linear bandits and reflects complexities common in…

机器学习 · 统计学 2025-06-18 Seok-Jin Kim , Gi-Soo Kim , Min-hwan Oh

We study the canonical statistical estimation problem of linear regression from $n$ i.i.d.~examples under $(\varepsilon,\delta)$-differential privacy when some response variables are adversarially corrupted. We propose a variant of the…

机器学习 · 计算机科学 2023-02-01 Xiyang Liu , Prateek Jain , Weihao Kong , Sewoong Oh , Arun Sai Suggala

This paper considers stochastic bandits with side observations, a model that accounts for both the exploration/exploitation dilemma and relationships between arms. In this setting, after pulling an arm i, the decision maker also observes…

机器学习 · 计算机科学 2012-10-19 Stephane Caron , Branislav Kveton , Marc Lelarge , Smriti Bhagat

In this work we first show that the classical Thompson sampling algorithm for multi-arm bandits is differentially private as-is, without any modification. We provide per-round privacy guarantees as a function of problem parameters and show…

机器学习 · 计算机科学 2024-07-23 Tingting Ou , Marco Avella Medina , Rachel Cummings

We study "adversarial scaling", a multi-armed bandit model where rewards have a stochastic and an adversarial component. Our model captures display advertising where the "click-through-rate" can be decomposed to a (fixed across time)…

机器学习 · 计算机科学 2020-09-01 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme

Bandit algorithms have various application in safety-critical systems, where it is important to respect the system constraints that rely on the bandit's unknown parameters at every round. In this paper, we formulate a linear stochastic…

机器学习 · 计算机科学 2019-08-19 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

The batched multi-armed bandit (MAB) problem, in which rewards are collected in batches, is crucial for applications such as clinical trials. Existing research predominantly assumes light-tailed reward distributions, yet many real-world…

机器学习 · 计算机科学 2026-03-24 Yunwen Guo , Yunlun Shu , Gongyi Zhuo , Tianyu Wang

I study adversarial attacks against stochastic bandit algorithms. At each round, the learner chooses an arm, and a stochastic reward is generated. The adversary strategically adds corruption to the reward, and the learner is only able to…

机器学习 · 计算机科学 2024-03-18 Shiliang Zuo

We study the relationship between two desiderata of algorithms in statistical inference and machine learning: differential privacy and robustness to adversarial data corruptions. Their conceptual similarity was first observed by Dwork and…

机器学习 · 计算机科学 2023-02-06 Hilal Asi , Jonathan Ullman , Lydia Zakynthinou

In a fixed-confidence pure exploration problem in stochastic multi-armed bandits, an algorithm iteratively samples arms and should stop as early as possible and return the correct answer to a query about the arms distributions. We are…

机器学习 · 计算机科学 2025-02-04 Adrienne Tuynman , Rémy Degenne

Sequential decision-making algorithms such as multi-armed bandits can find optimal personalized decisions, but are notoriously sample-hungry. In personalized medicine, for example, training a bandit from scratch for every patient is…

机器学习 · 计算机科学 2026-05-12 Ahmet Zahid Balcıoğlu , Newton Mwai , Emil Carlsson , Fredrik D. Johansson

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. We propose distribution free algorithms using robust statistics…

机器学习 · 统计学 2021-09-10 Sujay Bhatt , Ping Li , Gennady Samorodnitsky