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Differentially private collaborative filtering is a challenging task, both in terms of accuracy and speed. We present a simple algorithm that is provably differentially private, while offering good performance, using a novel connection of…

Machine Learning · Computer Science 2015-05-08 Ziqi Liu , Yu-Xiang Wang , Alexander J. Smola

We initiate the study of hypothesis selection under local differential privacy. Given samples from an unknown probability distribution $p$ and a set of $k$ probability distributions $\mathcal{Q}$, we aim to output, under the constraints of…

Data Structures and Algorithms · Computer Science 2020-06-23 Sivakanth Gopi , Gautam Kamath , Janardhan Kulkarni , Aleksandar Nikolov , Zhiwei Steven Wu , Huanyu Zhang

Differentially private (DP) language model inference is an approach for generating private synthetic text. A sensitive input example is used to prompt an off-the-shelf large language model (LLM) to produce a similar example. Multiple…

Machine Learning · Computer Science 2025-06-06 Kareem Amin , Salman Avestimehr , Sara Babakniya , Alex Bie , Weiwei Kong , Natalia Ponomareva , Umar Syed

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

We study the problem of performing counting queries at different levels in hierarchical structures while preserving individuals' privacy. Motivated by applications, we propose a new error measure for this problem by considering a…

Data Structures and Algorithms · Computer Science 2023-04-28 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Kewen Wu

Consider the following problem: given a metric space, some of whose points are "clients", open a set of at most $k$ facilities to minimize the average distance from the clients to these facilities. This is just the well-studied $k$-median…

Data Structures and Algorithms · Computer Science 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar

We consider the classical $k$-means clustering problem in the setting bi-criteria approximation, in which an algoithm is allowed to output $\beta k > k$ clusters, and must produce a clustering with cost at most $\alpha$ times the to the…

Data Structures and Algorithms · Computer Science 2015-08-04 Konstantin Makarychev , Yury Makarychev , Maxim Sviridenko , Justin Ward

This paper presents a novel approach to Explainable AI (XAI) that combines contrastive explanations with differential privacy for clustering algorithms. Focusing on k-median and k-means problems, we calculate contrastive explanations as the…

Machine Learning · Computer Science 2025-06-03 Dung Nguyen , Ariel Vetzler , Sarit Kraus , Anil Vullikanti

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

Machine Learning · Statistics 2020-11-13 Joshua Tobin , Mimi Zhang

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

Methodology · Statistics 2014-07-11 Eric Bair

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

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

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

Differential privacy is a strong mathematical notion of privacy. Still, a prominent challenge when using differential privacy in real data collection is understanding and counteracting the accuracy loss that differential privacy imposes. As…

Cryptography and Security · Computer Science 2021-08-24 Boel Nelson

Graph clustering under the framework of differential privacy, which aims to process graph-structured data while protecting individual privacy, has been receiving increasing attention. Despite significant achievements in current research,…

Machine Learning · Computer Science 2025-09-09 Haochen You , Baojing Liu

In this work, we study the task of estimating the numbers of distinct and $k$-occurring items in a time window under the constraint of differential privacy (DP). We consider several variants depending on whether the queries are on general…

Data Structures and Algorithms · Computer Science 2022-11-22 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Jelani Nelson

We propose a locally differentially private graph clustering algorithm. Previous works have explored this problem, including approaches that apply spectral clustering to graphs generated via the randomized response algorithm. However, these…

Data Structures and Algorithms · Computer Science 2025-05-19 Vorapong Suppakitpaisarn , Sayan Mukherjee

We study the design of differentially private algorithms for adaptive analysis of dynamically growing databases, where a database accumulates new data entries while the analysis is ongoing. We provide a collection of tools for machine…

Data Structures and Algorithms · Computer Science 2018-03-20 Rachel Cummings , Sara Krehbiel , Kevin A. Lai , Uthaipon Tantipongpipat

Although numerous clustering algorithms have been developed, many existing methods still leverage k-means technique to detect clusters of data points. However, the performance of k-means heavily depends on the estimation of centers of…

Machine Learning · Computer Science 2023-05-15 Quanxue Gao , Qianqian Wang , Han Lu , Wei Xia , Xinbo Gao

We introduce and address a novel distributed clustering problem where each participant has a private dataset containing only a subset of all available features, and some features are included in multiple datasets. This scenario occurs in…

Data Structures and Algorithms · Computer Science 2025-10-14 Alessio Maritan , Luca Schenato