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Differentially-private histograms have emerged as a key tool for location privacy. While past mechanisms have included theoretical & experimental analysis, it has recently been observed that much of the existing literature does not fully…

Databases · Computer Science 2017-02-21 Maryam Fanaeepour , Benjamin I. P. Rubinstein

Longitudinal data tracking under Local Differential Privacy (LDP) is a challenging task. Baseline solutions that repeatedly invoke a protocol designed for one-time computation lead to linear decay in the privacy or utility guarantee with…

Cryptography and Security · Computer Science 2022-04-12 Olga Ohrimenko , Anthony Wirth , Hao Wu

A succinct histogram captures frequent items and their frequencies across clients and has become increasingly important for large-scale, privacy-sensitive machine learning applications. To develop a rigorous framework to guarantee privacy…

Cryptography and Security · Computer Science 2025-06-24 Hsuan-Po Liu , Hessam Mahdavifar

Sparse variable selection improves interpretability and generalization in high-dimensional learning by selecting a small subset of informative features. Recent advances in Mixed Integer Programming (MIP) have enabled solving large-scale…

Machine Learning · Statistics 2025-10-28 Petros Prastakos , Kayhan Behdin , Rahul Mazumder

Differential privacy is a strong notion for protecting individual privacy in privacy preserving data analysis or publishing. In this paper, we study the problem of differentially private histogram release for random workloads. We study two…

Databases · Computer Science 2012-02-27 Yonghui Xiao , Li Xiong , Liyue Fan , Slawomir Goryczka

This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

Optimization and Control · Mathematics 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

We initiate a systematic study of algorithms that are both differentially private and run in sublinear time for several problems in which the goal is to estimate natural graph parameters. Our main result is a differentially-private…

Data Structures and Algorithms · Computer Science 2022-03-15 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee

We study the differentially private top-$k$ selection problem, aiming to identify a sequence of $k$ items with approximately the highest scores from $d$ items. Recent work by Gillenwater et al. (ICML '22) employs a direct sampling approach…

Cryptography and Security · Computer Science 2026-01-09 Hao WU , Hanwen Zhang

In this paper, we consider the problem of differentially private (DP) algorithms for isotonic regression. For the most general problem of isotonic regression over a partially ordered set (poset) $\mathcal{X}$ and for any Lipschitz loss…

Machine Learning · Computer Science 2022-10-28 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi

Previous studies yielded discouraging results for item-level locally differentially private linear regression with $s^*$-sparsity assumption, where the minimax rate for $nm$ samples is $\mathcal{O}(s^{*}d / nm\varepsilon^2)$. This can be…

Machine Learning · Statistics 2024-08-09 Yuheng Ma , Ke Jia , Hanfang Yang

We study the problem of differentially private optimization with linear constraints when the right-hand-side of the constraints depends on private data. This type of problem appears in many applications, especially resource allocation.…

Machine Learning · Computer Science 2020-11-05 Andrés Muñoz Medina , Umar Syed , Sergei Vassilvitskii , Ellen Vitercik

Most differentially private (DP) algorithms assume a central model in which a reliable third party inserts noise to queries made on datasets, or a local model where the users locally perturb their data. However, the central model is…

Cryptography and Security · Computer Science 2024-05-01 Sayan Biswas , Kangsoo Jung , Catuscia Palamidessi

This paper proposes new methodologies for conducting practical differentially private (DP) estimation and inference in high-dimensional linear regression. We first introduce a DP Bayesian Information Criterion (DP-BIC) for selecting the…

Methodology · Statistics 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang

In this work, we propose a differentially private algorithm for publishing matrices aggregated from sparse vectors. These matrices include social network adjacency matrices, user-item interaction matrices in recommendation systems, and…

Cryptography and Security · Computer Science 2025-06-26 Quentin Hillebrand , Vorapong Suppakitpaisarn , Tetsuo Shibuya

Differential privacy (DP) is a rigorous framework that protects the participation of individuals in a dataset by limiting information leakage from released estimators. This creates a challenging setting for statisticians: DP must hold…

Methodology · Statistics 2026-05-06 Tao Shen , Xin T. Tong , Wanjie Wang

Given a dataset of $n$ user-contributed strings, each of length at most $\ell$, a key problem is how to identify all frequent substrings while preserving each user's privacy. Recent work by Bernardini et al. (PODS'25) introduced a…

Data Structures and Algorithms · Computer Science 2026-03-11 Peaker Guo , Rayne Holland , Hao Wu

We initiate a systematic study of worst-group risk minimization under $(\epsilon, \delta)$-differential privacy (DP). The goal is to privately find a model that approximately minimizes the maximal risk across $p$ sub-populations (groups)…

Machine Learning · Computer Science 2024-03-01 Xinyu Zhou , Raef Bassily

We study differentially private algorithms for graph cut sparsification, a fundamental problem in algorithms, privacy, and machine learning. While significant progress has been made, the best-known private and efficient cut sparsifiers on…

Data Structures and Algorithms · Computer Science 2025-07-03 Anders Aamand , Justin Y. Chen , Mina Dalirrooyfard , Slobodan Mitrović , Yuriy Nevmyvaka , Sandeep Silwal , Yinzhan Xu

We give efficient protocols and matching accuracy lower bounds for frequency estimation in the local model for differential privacy. In this model, individual users randomize their data themselves, sending differentially private reports to…

Cryptography and Security · Computer Science 2015-04-21 Raef Bassily , Adam Smith

In this paper, we consider the $k$-approximate pattern matching problem under differential privacy, where the goal is to report or count all substrings of a given string $S$ which have a Hamming distance at most $k$ to a pattern $P$, or…

Data Structures and Algorithms · Computer Science 2023-11-14 Teresa Anna Steiner