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The multiplayer promise set disjointness is one of the most widely used problems from communication complexity in applications. In this problem there are $k$ players with subsets $S^1, \ldots, S^k$, each drawn from $\{1, 2, \ldots, n\}$,…

Data Structures and Algorithms · Computer Science 2021-05-25 Akshay Kamath , Eric Price , David P. Woodruff

We present data streaming algorithms for the $k$-median problem in high-dimensional dynamic geometric data streams, i.e. streams allowing both insertions and deletions of points from a discrete Euclidean space $\{1, 2, \ldots \Delta\}^d$.…

Data Structures and Algorithms · Computer Science 2017-06-14 Vladimir Braverman , Gereon Frahling , Harry Lang , Christian Sohler , Lin F. Yang

We study how to verify specific frequency distributions when we observe a stream of $N$ data items taken from a universe of $n$ distinct items. We introduce the \emph{relative Fr\'echet distance} to compare two frequency functions in a…

Data Structures and Algorithms · Computer Science 2025-08-26 Claire Mathieu , Michel de Rougemont

The maximum coverage problem is to select $k$ sets from a collection of sets such that the cardinality of the union of the selected sets is maximized. We consider $(1-1/e-\epsilon)$-approximation algorithms for this NP-hard problem in three…

Data Structures and Algorithms · Computer Science 2024-03-22 Amit Chakrabarti , Andrew McGregor , Anthony Wirth

This paper shows that characterizing co-occurrence between events is an important but non-trivial and neglected aspect of discovering potential causal relationships in multimedia event streams. First an introduction to the notion of event…

Multimedia · Computer Science 2016-03-31 Laleh Jalali , Ramesh Jain

The turnstile continual release model of differential privacy captures scenarios where a privacy-preserving real-time analysis is sought for a dataset evolving through additions and deletions. In typical applications of real-time data…

Data Structures and Algorithms · Computer Science 2025-05-30 Rachel Cummings , Alessandro Epasto , Jieming Mao , Tamalika Mukherjee , Tingting Ou , Peilin Zhong

We derive new time-space tradeoff lower bounds and algorithms for exactly computing statistics of input data, including frequency moments, element distinctness, and order statistics, that are simple to calculate for sorted data. We develop…

Computational Complexity · Computer Science 2013-09-17 Paul Beame , Raphael Clifford , Widad Machmouchi

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

We revisit the MaxSAT problem in the data stream model. In this problem, the stream consists of $m$ clauses that are disjunctions of literals drawn from $n$ Boolean variables. The objective is to find an assignment to the variables that…

Data Structures and Algorithms · Computer Science 2022-08-22 Hoa T. Vu

We present a streaming algorithm for the vertex connectivity problem in dynamic streams with a (nearly) optimal space bound: for any $n$-vertex graph $G$ and any integer $k \geq 1$, our algorithm with high probability outputs whether or not…

Data Structures and Algorithms · Computer Science 2022-11-10 Sepehr Assadi , Vihan Shah

As advances in technology allow for the collection, storage, and analysis of vast amounts of data, the task of screening and assessing the significance of discovered patterns is becoming a major challenge in data mining applications. In…

Databases · Computer Science 2010-02-08 Adam Kirsch , Michael Mitzenmacher , Andrea Pietracaprina , Geppino Pucci , Eli Upfal , Fabio Vandin

Motivated by cloud computing, a number of recent works have studied annotated data streams and variants thereof. In this setting, a computationally weak verifier (cloud user), lacking the resources to store and manipulate his massive input…

Computational Complexity · Computer Science 2013-04-16 Amit Chakrabarti , Graham Cormode , Navin Goyal , Justin Thaler

This paper presents an evolutionary algorithm for modeling the arrival dates of document streams, which is any time-stamped collection of documents, such as newscasts, e-mails, IRC conversations, scientific journals archives and weblog…

Information Retrieval · Computer Science 2007-05-23 Lourdes Araujo , Juan J. Merelo

In random-access communication systems, the number of active users varies with time, and has considerable bearing on receiver's performance. Thus, techniques aimed at identifying not only the information transmitted, but also that number,…

Information Theory · Computer Science 2016-11-17 Ezio Biglieri , Marco Lops

Data streams typically have items of large number of dimensions. We study the fundamental heavy-hitters problem in this setting. Formally, the data stream consists of $d$-dimensional items $x_1,\ldots,x_m \in [n]^d$. A $k$-dimensional…

Data Structures and Algorithms · Computer Science 2018-02-22 Branislav Kveton , S. Muthukrishnan , Hoa T. Vu , Yikun Xian

An edge stream is a common form of presentation of dynamic networks. It can evolve with time, with new types of nodes or edges being continuously added. Existing methods for anomaly detection rely on edge occurrence counts or compare…

Machine Learning · Computer Science 2021-12-02 Rui Liu , Siddharth Bhatia , Bryan Hooi

An important thread in the study of data-stream algorithms focuses on settings where stream items are active only for a limited time. We introduce a new expiration model, where each item arrives with its own expiration time. The special…

Data Structures and Algorithms · Computer Science 2025-09-10 Lotte Blank , Sergio Cabello , MohammadTaghi Hajiaghayi , Robert Krauthgamer , Sepideh Mahabadi , André Nusser , Jeff M. Phillips , Jonas Sauer

In this paper we study how to perform distinct sampling in the streaming model where data contain near-duplicates. The goal of distinct sampling is to return a distinct element uniformly at random from the universe of elements, given that…

Data Structures and Algorithms · Computer Science 2018-10-31 Jiecao Chen , Qin Zhang

Anomaly detection is critical for finding suspicious behavior in innumerable systems. We need to detect anomalies in real-time, i.e. determine if an incoming entity is anomalous or not, as soon as we receive it, to minimize the effects of…

Machine Learning · Computer Science 2023-01-31 Siddharth Bhatia

Traffic anomalies and attacks are commonplace in today's networks and identifying them rapidly and accurately is critical for large network operators. For a statistical intrusion detection system (IDS), it is crucial to detect at the…

Graphics · Computer Science 2025-06-27 Pin Ren , Yan Gao , Zhichun Li , Yan Chen , Benjamin Watson
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