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How can we accurately estimate local triangles for all nodes in simple and multigraph streams? Local triangle counting in a graph stream is one of the most fundamental tasks in graph mining with important applications including anomaly…

Data Structures and Algorithms · Computer Science 2016-11-29 Minsoo Jung , Sunmin Lee , Yongsub Lim , U Kang

We describe the first algorithms that satisfy the standard notion of node-differential privacy in the continual release setting (i.e., without an assumed promise on input streams). Previous work addresses node-private continual release by…

Data Structures and Algorithms · Computer Science 2025-11-06 Palak Jain , Adam Smith , Connor Wagaman

Triangle counting is a fundamental problem in graph mining, essential for analyzing graph streams with arbitrary edge orders. However, exact counting becomes impractical due to the massive size of real-world graph streams. To address this,…

Data Structures and Algorithms · Computer Science 2026-01-27 Wei Xuan , Yan Liang , Huawei Cao , Ning Lin , Xiaochun Ye , Dongrui Fan

In this paper, given a user's query set and budget, we aim to use the limited budget to help users assemble a set of datasets that can enrich a base dataset by introducing the maximum number of distinct tuples (i.e., maximizing…

Databases · Computer Science 2025-02-28 Tingting Wang , Shixun Huang , Zhifeng Bao , J. Shane Culpepper , Volkan Dedeoglu , Reza Arablouei

We give new characterizations of the sample complexity of answering linear queries (statistical queries) in the local and central models of differential privacy: *In the non-interactive local model, we give the first approximate…

Data Structures and Algorithms · Computer Science 2019-11-20 Alexander Edmonds , Aleksandar Nikolov , Jonathan Ullman

Online monitoring user cardinalities (or degrees) in graph streams is fundamental for many applications. For example in a bipartite graph representing user-website visiting activities, user cardinalities (the number of distinct visited…

Data Structures and Algorithms · Computer Science 2018-11-27 Pinghui Wang , Peng Jia , Xiangliang Zhang , Jing Tao , Xiaohong Guan , Don Towsley

In this paper, we develop deterministic fully dynamic algorithms for computing approximate distances in a graph with worst-case update time guarantees. In particular, we obtain improved dynamic algorithms that, given an unweighted and…

Data Structures and Algorithms · Computer Science 2022-09-09 Jan van den Brand , Sebastian Forster , Yasamin Nazari

Cardinality estimation algorithms receive a stream of elements, with possible repetitions, and return the number of distinct elements in the stream. Such algorithms seek to minimize the required memory and CPU resource consumption at the…

Networking and Internet Architecture · Computer Science 2019-03-15 Reuven Cohen , Yuval Nezri

We show that it is possible to significantly improve the accuracy of a general class of histogram queries while satisfying differential privacy. Our approach carefully chooses a set of queries to evaluate, and then exploits consistency…

Databases · Computer Science 2010-07-12 Michael Hay , Vibhor Rastogi , Gerome Miklau , Dan Suciu

Tracking and approximating data matrices in streaming fashion is a fundamental challenge. The problem requires more care and attention when data comes from multiple distributed sites, each receiving a stream of data. This paper considers…

Databases · Computer Science 2014-05-01 Mina Ghashami , Jeff M. Phillips , Feifei Li

Subgraph counting is a fundamental problem in understanding and analyzing graph structured data, yet computationally challenging. This calls for an accurate and efficient algorithm for Subgraph Cardinality Estimation, which is to estimate…

Databases · Computer Science 2024-04-16 Wonseok Shin , Siwoo Song , Kunsoo Park , Wook-Shin Han

The rise of massive networks across diverse domains necessitates sophisticated graph analytics, often involving sensitive data and raising privacy concerns. This paper addresses these challenges using local differential privacy (LDP), which…

Data Structures and Algorithms · Computer Science 2025-08-28 Pranay Mundra , Charalampos Papamanthou , Julian Shun , Quanquan C. Liu

Iterative algorithms, like gradient descent, are common tools for solving a variety of problems, such as model fitting. For this reason, there is interest in creating differentially private versions of them. However, their conversion to…

Machine Learning · Computer Science 2018-08-30 Jaewoo Lee , Daniel Kifer

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

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

Data Structures and Algorithms · Computer Science 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

In this work, we present the first efficient and practical algorithm for estimating the number of triangles in a graph stream using predictions. Our algorithm combines waiting room sampling and reservoir sampling with a predictor for the…

Data Structures and Algorithms · Computer Science 2024-09-24 Cristian Boldrin , Fabio Vandin

Edge streams are commonly used to capture interactions in dynamic networks, such as email, social, or computer networks. The problem of detecting anomalies or rare events in edge streams has a wide range of applications. However, it…

Social and Information Networks · Computer Science 2021-02-08 Yen-Yu Chang , Pan Li , Rok Sosic , M. H. Afifi , Marco Schweighauser , Jure Leskovec

Index tracking is a popular passive investment strategy aimed at optimizing portfolios, but fully replicating an index can lead to high transaction costs. To address this, partial replication have been proposed. However, the cardinality…

Artificial Intelligence · Computer Science 2024-12-24 Wooyeon Jo , Hyunsouk Cho

We study private matrix analysis in the sliding window model where only the last $W$ updates to matrices are considered useful for analysis. We give first efficient $o(W)$ space differentially private algorithms for spectral approximation,…

Machine Learning · Computer Science 2020-09-08 Jalaj Upadhyay , Sarvagya Upadhyay

We discuss the problem of counting distinct elements in a stream. A stream is usually considered as a sequence of elements that come one at a time. An exact solution to the problem requires memory space of the size of the stream. For many…

Data Structures and Algorithms · Computer Science 2021-06-18 Tal Ohayon