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Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt

Historically, machine learning methods have not been designed with security in mind. In turn, this has given rise to adversarial examples, carefully perturbed input samples aimed to mislead detection at test time, which have been applied to…

Machine Learning · Computer Science 2022-01-11 Jamie Hayes

Machine learning systems can produce personalized outputs that allow an adversary to infer sensitive input attributes at inference time. We introduce Robust Privacy (RP), an inference-time privacy notion inspired by certified robustness: if…

Machine Learning · Computer Science 2026-01-27 Jiankai Jin , Xiangzheng Zhang , Zhao Liu , Deyue Zhang , Quanchen Zou

The last few years have seen a surge of work on high dimensional statistics under privacy constraints, mostly following two main lines of work: the ``worst case'' line, which does not make any distributional assumptions on the input data;…

Statistics Theory · Mathematics 2022-08-17 Omri Ben-Eliezer , Dan Mikulincer , Ilias Zadik

We study the problem of high-dimensional sparse mean estimation in the presence of an $\epsilon$-fraction of adversarial outliers. Prior work obtained sample and computationally efficient algorithms for this task for identity-covariance…

Data Structures and Algorithms · Computer Science 2024-07-08 Ilias Diakonikolas , Daniel M. Kane , Sushrut Karmalkar , Ankit Pensia , Thanasis Pittas

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…

Machine Learning · Computer Science 2023-02-01 Xiyang Liu , Prateek Jain , Weihao Kong , Sewoong Oh , Arun Sai Suggala

Privacy preservation has become a critical concern in high-dimensional data analysis due to the growing prevalence of data-driven applications. Since its proposal, sliced inverse regression has emerged as a widely utilized statistical…

Machine Learning · Statistics 2025-04-08 Xintao Xia , Linjun Zhang , Zhanrui Cai

We study the problem of privately estimating the parameters of $d$-dimensional Gaussian Mixture Models (GMMs) with $k$ components. For this, we develop a technique to reduce the problem to its non-private counterpart. This allows us to…

Machine Learning · Statistics 2023-06-09 Jamil Arbas , Hassan Ashtiani , Christopher Liaw

In this brief, we present an enhanced privacy-preserving distributed estimation algorithm, referred to as the ``Double-Private Algorithm," which combines the principles of both differential privacy (DP) and cryptography. The proposed…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Mehdi Korki , Fatemehsadat Hosseiniamin , Hadi Zayyani , Mehdi Bekrani

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

Data Structures and Algorithms · Computer Science 2021-08-21 Huanyu Zhang

Randomized smoothing is a powerful tool for certifying robustness to adversarial perturbations, including poisoning attacks via randomized training and evasion attacks via randomized inference. Extending these guarantees to backdoor…

Machine Learning · Computer Science 2026-05-22 Aman Saxena , Jan Schuchardt , Yan Scholten , Stephan Günnemann

Adversarial robustness, the ability of a model to withstand manipulated inputs that cause errors, is essential for ensuring the trustworthiness of machine learning models in real-world applications. However, previous studies have shown that…

Machine Learning · Computer Science 2025-08-26 Xiaoyu Luo , Qiongxiu Li

We explore the trade-off between privacy and statistical utility in private two-sample testing under local differential privacy (LDP) for both multinomial and continuous data. We begin by addressing the multinomial case, where we introduce…

Machine Learning · Statistics 2025-12-30 Jongmin Mun , Seungwoo Kwak , Ilmun Kim

Differentially Private algorithms often need to select the best amongst many candidate options. Classical works on this selection problem require that the candidates' goodness, measured as a real-valued score function, does not change by…

Data Structures and Algorithms · Computer Science 2018-11-21 Jingcheng Liu , Kunal Talwar

We study efficient differentially private algorithms for estimating monotone statistics, i.e., statistics that are monotone under the addition of new observations. The starting point for our investigation is subsample-and-aggregate: a…

Cryptography and Security · Computer Science 2026-05-28 Gavin Brown , Ephraim Linder , Mahbod Majid , Vikrant Singhal

We present two sample-efficient differentially private mean estimators for $d$-dimensional (sub)Gaussian distributions with unknown covariance. Informally, given $n \gtrsim d/\alpha^2$ samples from such a distribution with mean $\mu$ and…

Machine Learning · Computer Science 2024-03-27 Gavin Brown , Marco Gaboardi , Adam Smith , Jonathan Ullman , Lydia Zakynthinou

A streaming algorithm is said to be adversarially robust if its accuracy guarantees are maintained even when the data stream is chosen maliciously, by an adaptive adversary. We establish a connection between adversarial robustness of…

Data Structures and Algorithms · Computer Science 2020-04-14 Avinatan Hassidim , Haim Kaplan , Yishay Mansour , Yossi Matias , Uri Stemmer

A major challenge for machine learning is increasing the availability of data while respecting the privacy of individuals. Here we combine the provable privacy guarantees of the differential privacy framework with the flexibility of…

Machine Learning · Statistics 2019-01-18 Michael Thomas Smith , Max Zwiessele , Neil D. Lawrence

Robustness is a key requirement for widespread deployment of machine learning algorithms, and has received much attention in both statistics and computer science. We study a natural model of robustness for high-dimensional statistical…

Machine Learning · Computer Science 2020-06-03 Pranjal Awasthi , Xue Chen , Aravindan Vijayaraghavan

Differentially private distributed stochastic optimization has become a hot topic due to the urgent need of privacy protection in distributed stochastic optimization. In this paper, two-time scale stochastic approximation-type algorithms…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Jimin Wang , Ji-Feng Zhang