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The efficient estimation of frequency moments of a data stream in one-pass using limited space and time per item is one of the most fundamental problem in data stream processing. An especially important estimation is to find the number of…

Data Structures and Algorithms · Computer Science 2010-10-29 Gokarna Sharma , Costas Busch , Srikanta Tirthapura

In this research paper, we address the Distinct Elements estimation problem in the context of streaming algorithms. The problem involves estimating the number of distinct elements in a given data stream $\mathcal{A} = (a_1, a_2,\ldots,…

Data Structures and Algorithms · Computer Science 2023-06-13 Mridul Nandi , Soumit Paul

Two widely-used computational paradigms for sublinear algorithms are using linear measurements to perform computations on a high dimensional input and using structured queries to access a massive input. Typically, algorithms in the former…

Computational Complexity · Computer Science 2021-07-14 Amit Chakrabarti , Manuel Stoeckl

Discovering frequent episodes over event sequences is an important data mining task. In many applications, events constituting the data sequence arrive as a stream, at furious rates, and recent trends (or frequent episodes) can change and…

Machine Learning · Computer Science 2012-05-22 Debprakash Patnaik , Naren Ramakrishnan , Srivatsan Laxman , Badrish Chandramouli

Stimulated by practical applications arising from viral marketing. This paper investigates a novel Budgeted $k$-Submodular Maximization problem defined as follows: Given a finite set $V$, a budget $B$ and a $k$-submodular function $f:…

Data Structures and Algorithms · Computer Science 2021-10-25 Canh V. Pham , Quang C. Vu , Dung K. T. Ha , Tai T. Nguyen

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

We study the power of Arthur-Merlin probabilistic proof systems in the data stream model. We show a canonical $\mathcal{AM}$ streaming algorithm for a wide class of data stream problems. The algorithm offers a tradeoff between the length of…

Computational Complexity · Computer Science 2013-02-05 Tom Gur , Ran Raz

In this paper, we strengthen the competitive analysis results obtained for a fundamental online streaming problem, the Frequent Items Problem. Additionally, we contribute with a more detailed analysis of this problem, using alternative…

Data Structures and Algorithms · Computer Science 2013-06-05 Joan Boyar , Kim S. Larsen , Abyayananda Maiti

Within the context of stochastic probing with commitment, we consider the online stochastic matching problem; that is, the one sided online bipartite matching problem where edges adjacent to an online node must be probed to determine if…

Data Structures and Algorithms · Computer Science 2021-01-07 Allan Borodin , Calum MacRury , Akash Rakheja

A set of intervals is independent when the intervals are pairwise disjoint. In the interval selection problem we are given a set $\mathbb{I}$ of intervals and we want to find an independent subset of intervals of largest cardinality. Let…

Data Structures and Algorithms · Computer Science 2015-02-05 Sergio Cabello , Pablo Pérez-Lantero

The edit distance (ED) and longest common subsequence (LCS) are two fundamental problems which quantify how similar two strings are to one another. In this paper, we consider these problems in the asymmetric streaming model introduced by…

Data Structures and Algorithms · Computer Science 2020-04-17 Alireza Farhadi , MohammadTaghi Hajiaghayi , Aviad Rubinstein , Saeed Seddighin

The increasing popularity of real-world recommender systems produces data continuously and rapidly, and it becomes more realistic to study recommender systems under streaming scenarios. Data streams present distinct properties such as…

Social and Information Networks · Computer Science 2016-07-22 Shiyu Chang , Yang Zhang , Jiliang Tang , Dawei Yin , Yi Chang , Mark A. Hasegawa-Johnson , Thomas S. Huang

We study the classical problem of maximizing a monotone submodular function subject to a cardinality constraint k, with two additional twists: (i) elements arrive in a streaming fashion, and (ii) m items from the algorithm's memory are…

Data Structures and Algorithms · Computer Science 2017-11-27 Slobodan Mitrović , Ilija Bogunovic , Ashkan Norouzi-Fard , Jakub Tarnawski , Volkan Cevher

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

Computer Vision and Pattern Recognition · Computer Science 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

Given a stream of heterogeneous graphs containing different types of nodes and edges, how can we spot anomalous ones in real-time while consuming bounded memory? This problem is motivated by and generalizes from its application in security…

Social and Information Networks · Computer Science 2016-02-23 Emaad A. Manzoor , Sadegh Momeni , Venkat N. Venkatakrishnan , Leman Akoglu

The generalized smooth condition, $(L_{0},L_{1})$-smoothness, has triggered people's interest since it is more realistic in many optimization problems shown by both empirical and theoretical evidence. Two recent works established the…

Machine Learning · Computer Science 2023-10-31 Zijian Liu , Srikanth Jagabathula , Zhengyuan Zhou

We revisit the classic basic counting problem in the distributed streaming model that was studied by Gibbons and Tirthapura (GT). In the solution for maintaining an $(\epsilon,\delta)$-estimate, as what GT's method does, we make the…

Data Structures and Algorithms · Computer Science 2013-12-03 Bojian Xu

Frequency estimation is one of the most fundamental problems in streaming algorithms. Given a stream $S$ of elements from some universe $U=\{1 \ldots n\}$, the goal is to compute, in a single pass, a short sketch of $S$ so that for any…

Data Structures and Algorithms · Computer Science 2021-11-09 Piotr Indyk , Shyam Narayanan , David P. Woodruff

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

Deploying Large Language Models (LLMs) in streaming applications such as multi-round dialogue, where long interactions are expected, is urgently needed but poses two major challenges. Firstly, during the decoding stage, caching previous…

Computation and Language · Computer Science 2024-04-09 Guangxuan Xiao , Yuandong Tian , Beidi Chen , Song Han , Mike Lewis
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