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We consider an important generalization of the Steiner tree problem, the \emph{Steiner forest problem}, in the Euclidean plane: the input is a multiset $X \subseteq \mathbb{R}^2$, partitioned into $k$ color classes $C_1, C_2, \ldots, C_k…

Data Structures and Algorithms · Computer Science 2024-05-14 Artur Czumaj , Shaofeng H. -C. Jiang , Robert Krauthgamer , Pavel Veselý

Consider $n$ items, each of which is characterised by one of $d+1$ possible features in $\{0, \ldots, d\}$. We study the inference task of learning these types by queries on subsets, or pools, of the items that only reveal a form of…

Information Theory · Computer Science 2022-02-10 Max Hahn-Klimroth , Noela Müller

Given a directed acyclic graph with labeled vertices, we consider the problem of finding the most common label sequences ("traces") among all paths in the graph (of some maximum length m). Since the number of paths can be huge, we propose…

Data Structures and Algorithms · Computer Science 2010-10-13 Andrea Campagna , Rasmus Pagh

The Basic Counting problem [1] is one of the most fundamental and critical streaming problems of sliding window queries over data streams. Given a stream of 0's and 1's, the purpose of this problem is to estimate the number of 1's in the…

Data Structures and Algorithms · Computer Science 2019-12-10 Shuhao Sun , Dagang Li

Data-stream clustering is an ever-expanding subdomain of knowledge extraction. Most of the past and present research effort aims at efficient scaling up for the huge data repositories. Our approach focuses on qualitative improvement, mainly…

Artificial Intelligence · Computer Science 2008-11-05 Alain Lelu , Pascal Cuxac , Joel Johansson

With the proliferation of mobile devices and location-based services, continuous generation of massive volume of streaming spatial objects (i.e., geo-tagged data) opens up new opportunities to address real-world problems by analyzing them.…

Databases · Computer Science 2017-09-29 Kaiyu Feng , Tao Guo , Gao Cong , Sourav S. Bhowmicks , Shuai Ma

There is a considerable body of work on sequence mining of Web Log Data. We are using One Pass frequent Episode discovery (or FED) algorithm, takes a different approach than the traditional apriori class of pattern detection algorithms. In…

Databases · Computer Science 2010-02-08 Kanak Saxena , Rahul Shukla

The frequent elements problem, a key component in demanding stream-data analytics, involves selecting elements whose occurrence exceeds a user-specified threshold. Fast, memory-efficient $\epsilon$-approximate synopsis algorithms select all…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-04 Victor Jarlow , Charalampos Stylianopoulos , Marina Papatriantafilou

In the distributed triangle detection problem, we have an $n$-vertex network $G=(V,E)$ with one player for each vertex of the graph who sees the edges incident on the vertex. The players communicate in synchronous rounds using the edges of…

Data Structures and Algorithms · Computer Science 2025-08-14 Sepehr Assadi , Janani Sundaresan

We consider \textsc{Persistence}, a new online problem concerning optimizing weighted observations in a stream of data when the observer has limited buffer capacity. A stream of weighted items arrive one at a time at the entrance of a…

Data Structures and Algorithms · Computer Science 2016-04-12 Konstantinos Georgiou , George Karakostas , Evangelos Kranakis , Danny Krizanc

Many organisations manage service quality and monitor a large set devices and servers where each entity is associated with telemetry or physical sensor data series. Recently, various methods have been proposed to detect behavioural…

Social and Information Networks · Computer Science 2023-05-10 Len Feremans , Boris Cule , Bart Goethals

Modern technological advances have expanded the scope of applications requiring analysis of large-scale datastreams that comprise multiple indefinitely long time series. There is an acute need for statistical methodologies that perform…

Methodology · Statistics 2021-11-03 Jingshen Wang , Lilun Du , Changliang Zou , Zhenke Wu

Set cover, over a universe of size $n$, may be modelled as a data-streaming problem, where the $m$ sets that comprise the instance are to be read one by one. A semi-streaming algorithm is allowed only $O(n\, \mathrm{poly}\{\log n, \log…

Computational Complexity · Computer Science 2015-08-11 Amit Chakrabarti , Anthony Wirth

Let $S$ be a string of length $n$ over an alphabet $\Sigma$ and let $Q$ be a subset of $\Sigma$ of size $q \geq 2$. The 'co-occurrence problem' is to construct a compact data structure that supports the following query: given an integer $w$…

Data Structures and Algorithms · Computer Science 2022-11-11 Philip Bille , Inge Li Gørtz , Tord Stordalen

While there are software systems that simplify trajectory streams on the fly, few curve simplification algorithms with quality guarantees fit the streaming requirements. We present streaming algorithms for two such problems under the…

Computational Geometry · Computer Science 2025-08-04 Siu-Wing Cheng , Haoqiang Huang , Le Jiang

Finding dense subgraphs is a fundamental algorithmic tool in data mining, community detection, and clustering. In this problem, one aims to find an induced subgraph whose edge-to-vertex ratio is maximized. We study the directed case of this…

Data Structures and Algorithms · Computer Science 2023-11-21 Slobodan Mitrović , Theodore Pan

The fundamental communication problem in the wireless Internet of Things (IoT) is to discover a massive number of devices and to allow them reliable access to shared channels. Oftentimes these devices transmit short messages randomly and…

Information Theory · Computer Science 2021-11-22 Xu Chen , Lina Liu , Dongning Guo , Gregory W. Wornell

Given a database, a common problem is to find the pairs or $k$-tuples of items that frequently co-occur. One specific problem is to create a small space "sketch" of the data that records which $k$-tuples appear in more than an $\epsilon$…

Data Structures and Algorithms · Computer Science 2014-10-13 Eric Price

Distributed Denial of Service (DDoS) attacks are getting increasingly harmful to the Internet, showing no signs of slowing down. Developing an accurate detection mechanism to thwart DDoS attacks is still a big challenge due to the rich…

Cryptography and Security · Computer Science 2024-05-14 Raja Giryes , Lior Shafir , Avishai Wool

Internet has played a vital role in this modern world, the possibilities and opportunities offered are limitless. Despite all the hype, Internet services are liable to intrusion attack that could tamper the confidentiality and integrity of…

Cryptography and Security · Computer Science 2009-06-23 M. A. Faizal , M. Mohd Zaki , S. Shahrin , Y. Robiah , S. Siti Rahayu , B. Nazrulazhar
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