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Independence testing is a fundamental problem in statistical inference: given samples from a joint distribution $p$ over multiple random variables, the goal is to determine whether $p$ is a product distribution or is $\epsilon$-far from all…

Machine Learning · Statistics 2026-03-06 Maryam Aliakbarpour , Alireza Azizi , Ria Stevens

We address the problem of goodness-of-fit testing for H\"older continuous densities under local differential privacy constraints. We study minimax separation rates when only non-interactive privacy mechanisms are allowed to be used and when…

Statistics Theory · Mathematics 2021-07-07 Amandine Dubois , Thomas Berrett , Cristina Butucea

Differentially Private (DP) data release is a promising technique to disseminate data without compromising the privacy of data subjects. However the majority of prior work has focused on scenarios where a single party owns all the data. In…

Cryptography and Security · Computer Science 2022-06-22 Ruihan Wu , Xin Yang , Yuanshun Yao , Jiankai Sun , Tianyi Liu , Kilian Q. Weinberger , Chong Wang

One of the main subjects of this paper is to study quantum property testing with local measurement. In particular, we establish a novel $\ell_2$ norm connection between quantum property testing problems and the corresponding distribution…

Quantum Physics · Physics 2020-01-14 Nengkun Yu

We study the problem of sampling from a distribution under local differential privacy (LDP). Given a private distribution $P \in \mathcal{P}$, the goal is to generate a single sample from a distribution that remains close to $P$ in…

Machine Learning · Computer Science 2025-10-13 Hrad Ghoukasian , Bonwoo Lee , Shahab Asoodeh

In this paper, we study the problem of sampling from a distribution under the constraint of differential privacy (DP). Prior works measure the utility of DP sampling with density ratio-based measures such as KL divergence. However, such…

Machine Learning · Statistics 2026-05-12 Shokichi Takakura , Seng Pei Liew , Satoshi Hasegawa

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

Classifiers deployed in high-stakes real-world applications must output calibrated confidence scores, i.e. their predicted probabilities should reflect empirical frequencies. Recalibration algorithms can greatly improve a model's…

Machine Learning · Computer Science 2020-08-25 Rachel Luo , Shengjia Zhao , Jiaming Song , Jonathan Kuck , Stefano Ermon , Silvio Savarese

We revisit the classical problem of nonparametric density estimation but impose local differential privacy constraints. Under such constraints, the original multivariate data $X_1,\ldots,X_n \in \mathbb{R}^d$ cannot be directly observed,…

Statistics Theory · Mathematics 2022-11-15 László Györfi , Martin Kroll

We consider a private hypothesis testing scenario, including both symmetric and asymmetric testing, based on classical data samples. The utility is measured by the error exponents, namely the Chernoff information and the relative entropy,…

Quantum Physics · Physics 2025-09-01 Seung-Hyun Nam , Hyun-Young Park , Si-Hyeon Lee , Joonwoo Bae

How to properly set the privacy parameter in differential privacy (DP) has been an open question in DP research since it was first proposed in 2006. In this work, we demonstrate the ability of influence functions to offer insight into how a…

Machine Learning · Computer Science 2023-09-19 Alycia N. Carey , Minh-Hao Van , Xintao Wu

In large-scale statistical learning, data collection and model fitting are moving increasingly toward peripheral devices---phones, watches, fitness trackers---away from centralized data collection. Concomitant with this rise in…

Machine Learning · Statistics 2019-06-04 Abhishek Bhowmick , John Duchi , Julien Freudiger , Gaurav Kapoor , Ryan Rogers

Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if the ratio between the probabilities that…

Cryptography and Security · Computer Science 2014-06-18 Mário S. Alvim , Miguel E. Andrés , Konstantinos Chatzikokolakis , Pierpaolo Degano , Catuscia Palamidessi

Distributed online stochastic optimization has received extensive attention in large-scale distributed learning and other related fields due to its unique advantage in processing streaming data. However, information exchange through the…

Optimization and Control · Mathematics 2026-05-29 Zhiguo Zhang , Cheng Kui , Qian Ma , Dongrui Wu

A privacy-utility tradeoff is developed for an arbitrary set of finite-alphabet source distributions. Privacy is quantified using differential privacy (DP), and utility is quantified using expected Hamming distortion maximized over the set…

Information Theory · Computer Science 2018-08-02 Kousha Kalantari , Lalitha Sankar , Anand Sarwate

Kernel two-sample testing is a useful statistical tool in determining whether data samples arise from different distributions without imposing any parametric assumptions on those distributions. However, raw data samples can expose sensitive…

Machine Learning · Statistics 2018-08-02 Anant Raj , Ho Chung Leon Law , Dino Sejdinovic , Mijung Park

Determinantal point processes (DPPs) are popular probabilistic models of diversity. In this paper, we investigate DPPs from a new perspective: property testing of distributions. Given sample access to an unknown distribution $q$ over the…

Machine Learning · Computer Science 2020-08-11 Khashayar Gatmiry , Maryam Aliakbarpour , Stefanie Jegelka

Communication and privacy are two critical concerns in distributed learning. Many existing works treat these concerns separately. In this work, we argue that a natural connection exists between methods for communication reduction and…

Machine Learning · Computer Science 2019-12-09 Tian Li , Zaoxing Liu , Vyas Sekar , Virginia Smith

In many industrial applications of big data, the Jaccard Similarity Computation has been widely used to measure the distance between two profiles or sets respectively owned by two users. Yet, one semi-honest user with unpredictable…

Data Structures and Algorithms · Computer Science 2017-05-23 Ziqi Yan , Jiqiang Liu , Gang Li , Zhen Han , Shuo Qiu