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We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

Statistics Theory · Mathematics 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

Collaborative graph analysis across multiple institutions is becoming increasingly popular. Realistic examples include social network analysis across various social platforms, financial transaction analysis across multiple banks, and…

Cryptography and Security · Computer Science 2024-06-03 Shang Liu , Yang Cao , Takao Murakami , Weiran Liu , Seng Pei Liew , Tsubasa Takahashi , Jinfei Liu , Masatoshi Yoshikawa

We study fine-grained error bounds for differentially private algorithms for counting under continual observation. Our main insight is that the matrix mechanism when using lower-triangular matrices can be used in the continual observation…

Data Structures and Algorithms · Computer Science 2024-02-06 Hendrik Fichtenberger , Monika Henzinger , Jalaj Upadhyay

We present differentially private (DP) algorithms for bilevel optimization, a problem class that received significant attention lately in various machine learning applications. These are the first algorithms for such problems under standard…

Machine Learning · Computer Science 2026-01-15 Guy Kornowski

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

We initiate the study of dynamic algorithms for graph sparsification problems and obtain fully dynamic algorithms, allowing both edge insertions and edge deletions, that take polylogarithmic time after each update in the graph. Our three…

Data Structures and Algorithms · Computer Science 2018-03-02 Ittai Abraham , David Durfee , Ioannis Koutis , Sebastian Krinninger , Richard Peng

The change-point detection problem seeks to identify distributional changes in streams of data. Increasingly, tools for change-point detection are applied in settings where data may be highly sensitive and formal privacy guarantees are…

Statistics Theory · Mathematics 2020-10-21 Rachel Cummings , Sara Krehbiel , Yuliia Lut , Wanrong Zhang

While differentially private synthetic data generation has been explored extensively in the literature, how to update this data in the future if the underlying private data changes is much less understood. We propose an algorithmic…

Cryptography and Security · Computer Science 2024-09-04 Girish Kumar , Thomas Strohmer , Roman Vershynin

In the dynamic approximate maximum bipartite matching problem we are given bipartite graph $G$ undergoing updates and our goal is to maintain a matching of $G$ which is large compared the maximum matching size $\mu(G)$. We define a dynamic…

Data Structures and Algorithms · Computer Science 2023-07-13 Joakim Blikstad , Peter Kiss

Graph Neural Networks (GNNs) are a popular technique for modelling graph-structured data and computing node-level representations via aggregation of information from the neighborhood of each node. However, this aggregation implies an…

Machine Learning · Computer Science 2022-08-30 Ameya Daigavane , Gagan Madan , Aditya Sinha , Abhradeep Guha Thakurta , Gaurav Aggarwal , Prateek Jain

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

Process mining techniques enable organizations to analyze business process execution traces in order to identify opportunities for improving their operational performance. Oftentimes, such execution traces contain private information. For…

Cryptography and Security · Computer Science 2020-12-04 Gamal Elkoumy , Alisa Pankova , Marlon Dumas

We present two deterministic dynamic algorithms for the maximum matching problem. (1) An algorithm that maintains a $(2+\epsilon)$-approximate maximum matching in general graphs with $O(\text{poly}(\log n, 1/\epsilon))$ update time. (2) An…

Data Structures and Algorithms · Computer Science 2016-04-21 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai

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 resolve an open question of Jain, Raskhodnikova, Sivakumar, and Smith (ICML 2023) by exhibiting a problem separating differential privacy under continual observation in the oblivious and adaptive settings. The continual observation…

Cryptography and Security · Computer Science 2026-04-06 Mark Bun , Marco Gaboardi , Connor Wagaman

Deep learning models are known to put the privacy of their training data at risk, which poses challenges for their safe and ethical release to the public. Differentially private stochastic gradient descent is the de facto standard for…

Machine Learning · Computer Science 2023-01-03 Morgane Ayle , Jan Schuchardt , Lukas Gosch , Daniel Zügner , Stephan Günnemann

In this paper, we present new incremental algorithms for maintaining data structures that represent all connectivity cuts of size one in directed graphs (digraphs), and the strongly connected components that result by the removal of each of…

Data Structures and Algorithms · Computer Science 2018-03-01 Loukas Georgiadis , Giuseppe F. Italiano , Nikos Parotsidis

A wide variety of fundamental data analyses in machine learning, such as linear and logistic regression, require minimizing a convex function defined by the data. Since the data may contain sensitive information about individuals, and these…

Data Structures and Algorithms · Computer Science 2015-03-17 Jonathan Ullman

Differential privacy (DP) techniques can be applied to the federated learning model to protect data privacy against inference attacks to communication among the learning agents. The DP techniques, however, hinder achieving a greater…

Machine Learning · Computer Science 2021-10-08 Minseok Ryu , Kibaek Kim

We show a fully dynamic algorithm for maintaining $(1+\epsilon)$-approximate \emph{size} of maximum matching of the graph with $n$ vertices and $m$ edges using $m^{0.5-\Omega_{\epsilon}(1)}$ update time. This is the first polynomial…

Data Structures and Algorithms · Computer Science 2024-04-30 Sayan Bhattacharya , Peter Kiss , Thatchaphol Saranurak
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