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In large-scale applications including medical imaging, collocation differential equation solvers, and estimation with differential privacy, the underlying linear inverse problem can be reformulated as a streaming problem. In theory, the…

数值分析 · 数学 2024-01-31 Nathaniel Pritchard , Vivak Patel

For many modern applications in science and engineering, data are collected in a streaming fashion carrying time-varying information, and practitioners need to process them with a limited amount of memory and computational resources in a…

机器学习 · 统计学 2018-06-13 Laura Balzano , Yuejie Chi , Yue M. Lu

Given an ordering of the vertices of a graph, the cost of covering an edge is the smaller number of its two ends. The minimum sum vertex cover problem asks for an ordering that minimizes the total cost of covering all edges. We consider…

数据结构与算法 · 计算机科学 2024-04-16 Yixin Cao , Ling Gai , Jingyi Liu , Jianxin Wang

In this paper we study the problem of finding $(\epsilon, \phi)$-expander decompositions of a graph in the streaming model, in particular for dynamic streams of edge insertions and deletions. The goal is to partition the vertex set so that…

数据结构与算法 · 计算机科学 2024-05-30 Yu Chen , Michael Kapralov , Mikhail Makarov , Davide Mazzali

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…

数据结构与算法 · 计算机科学 2021-04-20 Sepehr Assadi , Gillat Kol , Raghuvansh R. Saxena , Huacheng Yu

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…

数据结构与算法 · 计算机科学 2009-05-05 Kook Jin Ahn , Sudipto Guha

Graph compression is a data analysis technique that consists in the replacement of parts of a graph by more general structural patterns in order to reduce its description length. It notably provides interesting exploration tools for the…

数据结构与算法 · 计算机科学 2018-07-19 Robin Lamarche-Perrin

Hyperdimensional computing (HDC) is a paradigm for data representation and learning originating in computational neuroscience. HDC represents data as high-dimensional, low-precision vectors which can be used for a variety of information…

We introduce the {\em certification} of solutions to graph problems when access to the input is restricted. This topic has received a lot of attention in the distributed computing setting, and we introduce it here in the context of…

计算复杂性 · 计算机科学 2025-03-18 Avinandan Das , Pierre Fraigniaud , Ami Paz , Adi Rosen

Networks are a natural representation of complex systems across the sciences, and higher-order dependencies are central to the understanding and modeling of these systems. However, in many practical applications such as online social…

社会与信息网络 · 计算机科学 2020-10-28 Nesreen K. Ahmed , Nick Duffield

We study the classic set cover problem in the streaming model: the sets that comprise the instance are revealed one by one in a stream and the goal is to solve the problem by making one or few passes over the stream while maintaining a…

数据结构与算法 · 计算机科学 2017-03-07 Sepehr Assadi

We consider the problem of monotone, submodular maximization over a ground set of size $n$ subject to cardinality constraint $k$. For this problem, we introduce the first deterministic algorithms with linear time complexity; these…

数据结构与算法 · 计算机科学 2021-03-09 Alan Kuhnle

The centrality of a vertex v in a network intuitively captures how important v is for communication in the network. The task of improving the centrality of a vertex has many applications, as a higher centrality often implies a larger impact…

离散数学 · 计算机科学 2017-10-05 Clemens Hoffmann , Hendrik Molter , Manuel Sorge

Streaming analysis is widely used in cloud as well as edge infrastructures. In these contexts, fine-grained application performance can be based on accurate modeling of streaming operators. This is especially beneficial for computationally…

分布式、并行与集群计算 · 计算机科学 2021-11-30 Hannaneh Najdataei , Vincenzo Gulisano , Alessandro V. Papadopoulos , Ivan Walulya , Marina Papatriantafilou , Philippas Tsigas

Subgraph counting is a fundamental primitive in graph processing, with applications in social network analysis (e.g., estimating the clustering coefficient of a graph), database processing and other areas. The space complexity of subgraph…

数据结构与算法 · 计算机科学 2018-08-16 John Kallaugher , Michael Kapralov , Eric Price

Besides the classical offline setup of machine learning, stream learning constitutes a well-established setup where data arrives over time in potentially non-stationary environments. Concept drift, the phenomenon that the underlying…

机器学习 · 计算机科学 2024-12-13 Fabian Hinder , Valerie Vaquet , David Komnick , Barbara Hammer

The problem of finding locally dense components of a graph is an important primitive in data analysis, with wide-ranging applications from community mining to spam detection and the discovery of biological network modules. In this paper we…

数据库 · 计算机科学 2012-02-01 Bahman Bahmani , Ravi Kumar , Sergei Vassilvitskii

The shifting strategy, introduced by Hochbaum and Maass, and independently by Baker, is a unified framework for devising polynomial approximation schemes to NP-Hard problems. This strategy has been used to great success within the…

计算几何 · 计算机科学 2017-06-30 Christopher Liaw , Paul Liu , Robert Reiss

Many emerging multimedia streaming applications involve multiple users communicating under strict latency constraints. In this paper we study streaming codes for a network involving two source nodes, one relay node and a destination node.…

信息论 · 计算机科学 2021-10-13 Gustavo Kasper Facenda , Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

Parameterized algorithms are a very useful tool for dealing with NP-hard problems on graphs. Yet, to properly utilize parameterized algorithms it is necessary to choose the right parameter based on the type of problem and properties of the…

数据结构与算法 · 计算机科学 2012-01-18 Robert Ganian