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In the Demand Strip Packing problem (DSP), we are given a time interval and a collection of tasks, each characterized by a processing time and a demand for a given resource (such as electricity, computational power, etc.). A feasible…

Data Structures and Algorithms · Computer Science 2021-05-20 Waldo Gálvez , Fabrizio Grandoni , Afrouz Jabal Ameli , Kamyar Khodamoradi

Here, we present a novel algorithm for frequent itemset mining for streaming data (FIM-SD). For the past decade, various FIM-SD methods in one-pass approximation settings have been developed to approximate the frequency of each itemset.…

Databases · Computer Science 2019-01-08 Yoshitaka Yamamoto , Yasuo Tabei , Koji Iwanuma

The distinct elements problem is one of the fundamental problems in streaming algorithms --- given a stream of integers in the range $\{1,\ldots,n\}$, we wish to provide a $(1+\varepsilon)$ approximation to the number of distinct elements…

Data Structures and Algorithms · Computer Science 2019-01-07 Jarosław Błasiok

We consider the algorithmic problem of finding a near ground state (near optimal solution) of a $p$-spin model. We show that for a class of algorithms broadly defined as Approximate Message Passing (AMP), the presence of the Overlap Gap…

Probability · Mathematics 2019-11-27 David Gamarnik , Aukosh Jagannath

Consider the following gap cycle counting problem in the streaming model: The edges of a $2$-regular $n$-vertex graph $G$ are arriving one-by-one in a stream and we are promised that $G$ is a disjoint union of either $k$-cycles or…

Data Structures and Algorithms · Computer Science 2021-04-20 Sepehr Assadi , Gillat Kol , Raghuvansh R. Saxena , Huacheng Yu

Clustering of data points in metric space is among the most fundamental problems in computer science with plenty of applications in data mining, information retrieval and machine learning. Due to the necessity of clustering of large…

Data Structures and Algorithms · Computer Science 2019-10-03 Hossein Esfandiari , Vahab Mirrokni , Peilin Zhong

Recent progress in (semi-)streaming algorithms for monotone submodular function maximization has led to tight results for a simple cardinality constraint. However, current techniques fail to give a similar understanding for natural…

Data Structures and Algorithms · Computer Science 2022-02-17 Moran Feldman , Paul Liu , Ashkan Norouzi-Fard , Ola Svensson , Rico Zenklusen

The rapid pace at which new large language models (LLMs) appear, and older ones become obsolete, forces providers to manage a streaming inventory under a strict concurrency cap and per-query cost budgets. We cast this as an online decision…

Machine Learning · Computer Science 2026-01-30 Shaoang Li , Jian Li

We give a near-optimal sample-pass trade-off for pure exploration in multi-armed bandits (MABs) via multi-pass streaming algorithms: any streaming algorithm with sublinear memory that uses the optimal sample complexity of…

Machine Learning · Computer Science 2024-06-26 Sepehr Assadi , Chen Wang

We study the streaming complexity of $k$-counter approximate counting. In the $k$-counter approximate counting problem, we are given an input string in $[k]^n$, and we are required to approximate the number of each $j$'s ($j\in[k]$) in the…

Data Structures and Algorithms · Computer Science 2024-06-19 Yichuan Wang

In this paper, we propose a novel framework that converts streaming algorithms for monotone submodular maximization into streaming algorithms for non-monotone submodular maximization. This reduction readily leads to the currently tightest…

Data Structures and Algorithms · Computer Science 2020-02-11 Ran Haba , Ehsan Kazemi , Moran Feldman , Amin Karbasi

Streaming algorithms are generally judged by the quality of their solution, memory footprint, and computational complexity. In this paper, we study the problem of maximizing a monotone submodular function in the streaming setting with a…

Machine Learning · Computer Science 2019-05-14 Ehsan Kazemi , Marko Mitrovic , Morteza Zadimoghaddam , Silvio Lattanzi , Amin Karbasi

In this paper, we design sub-linear space streaming algorithms for estimating three fundamental parameters -- maximum independent set, minimum dominating set and maximum matching -- on sparse graph classes, i.e., graphs which satisfy…

Data Structures and Algorithms · Computer Science 2023-05-29 Xiuge Chen , Rajesh Chitnis , Patrick Eades , Anthony Wirth

We present streaming algorithms for the graph $k$-matching problem in both the insert-only and dynamic models. Our algorithms, with space complexity matching the best upper bounds, have optimal or near-optimal update time, significantly…

Data Structures and Algorithms · Computer Science 2023-10-18 Jianer Chen , Qin Huang , Iyad Kanj , Qian Li , Ge Xia

We study the approximability of two related problems on graphs with $n$ nodes and $m$ edges: $n$-Pairs Shortest Paths ($n$-PSP), where the goal is to find a shortest path between $O(n)$ prespecified pairs, and All Node Shortest Cycles…

Data Structures and Algorithms · Computer Science 2022-09-21 Mina Dalirrooyfard , Ce Jin , Virginia Vassilevska Williams , Nicole Wein

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

We consider the Demand Strip Packing problem (DSP), in which we are given a set of jobs, each specified by a processing time and a demand. The task is to schedule all jobs such that they are finished before some deadline $D$ while…

Data Structures and Algorithms · Computer Science 2024-08-19 Franziska Eberle , Felix Hommelsheim , Malin Rau , Stefan Walzer

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

We give an $\widetilde{O}(\sqrt{n})$-space single-pass $0.483$-approximation streaming algorithm for estimating the maximum directed cut size (Max-DICUT) in a directed graph on $n$ vertices. This improves over an $O(\log n)$-space $4/9 <…

Data Structures and Algorithms · Computer Science 2023-05-11 Raghuvansh R. Saxena , Noah G. Singer , Madhu Sudan , Santhoshini Velusamy

Analyzing massive data sets has been one of the key motivations for studying streaming algorithms. In recent years, there has been significant progress in analysing distributions in a streaming setting, but the progress on graph problems…

Data Structures and Algorithms · Computer Science 2009-05-05 Kook Jin Ahn , Sudipto Guha