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Measures of discrepancy between probability distributions (statistical distance) are widely used in the fields of artificial intelligence and machine learning. We describe how certain measures of statistical distance can be implemented as…

加速器物理 · 物理学 2022-12-21 Chad E. Mitchell , Robert D. Ryne , Kilean Hwang

To characterize the location (mean, median) of a set of graphs, one needs a notion of centrality that is adapted to metric spaces, since graph sets are not Euclidean spaces. A standard approach is to consider the Frechet mean. In this work,…

机器学习 · 统计学 2022-01-19 Daniel Ferguson , Francois G. Meyer

Change-point analysis has been successfully applied to the detect changes in multivariate data streams over time. In many applications, when data are observed over a graph/network, change does not occur simultaneously but instead spread…

统计方法学 · 统计学 2023-06-21 Hanqing Cai , Tengyao Wang

Sketches are commonly used in computer systems and network monitoring tools to provide efficient query executions while maintaining a compact data representation. Switches and routers maintain sketches to track statistical characteristics…

分布式、并行与集群计算 · 计算机科学 2025-11-11 Diana Cohen , Roy Friedman , Rana Shahout

Graph sketching has emerged as a powerful technique for processing massive graphs that change over time (i.e., are presented as a dynamic stream of edge updates) over the past few years, starting with the work of Ahn, Guha and McGregor…

数据结构与算法 · 计算机科学 2019-03-29 Michael Kapralov , Aida Mousavifar , Cameron Musco , Christopher Musco , Navid Nouri

We consider the problem of tracking with small relative error an integer function $f(n)$ defined by a distributed update stream $f'(n)$. Existing streaming algorithms with worst-case guarantees for this problem assume $f(n)$ to be monotone;…

数据结构与算法 · 计算机科学 2015-02-26 David Felber , Rafail Ostrovsky

Time series discords are a useful primitive for time series anomaly detection, and the matrix profile is capable of capturing discord effectively. There exist many research efforts to improve the scalability of discord discovery with…

In this paper we consider large-scale smooth optimization problems with multiple linear coupled constraints. Due to the non-separability of the constraints, arbitrary random sketching would not be guaranteed to work. Thus, we first…

最优化与控制 · 数学 2018-08-09 Ion Necoara , Martin Takac

The quickest change detection problem is considered in the context of monitoring large-scale independent normal distributed data streams with possible changes in some of the means. It is assumed that for each individual local data stream,…

统计理论 · 数学 2016-03-18 Yuan Wang , Yajun Mei

Star sampling (SS) is a random sampling procedure on a graph wherein each sample consists of a randomly selected vertex (the star center) and its (one-hop) neighbors (the star points). We consider the use of SS to find any member of a…

网络与互联网体系结构 · 计算机科学 2020-12-01 Jonathan Stokes , Steven Weber

In the past few years, the number of fine-art collections that are digitized and publicly available has been growing rapidly. With the availability of such large collections of digitized artworks comes the need to develop multimedia systems…

计算机视觉与模式识别 · 计算机科学 2015-05-06 Babak Saleh , Ahmed Elgammal

Sketches are probabilistic data structures that can provide approximate results within mathematically proven error bounds while using orders of magnitude less memory than traditional approaches. They are tailored for streaming data analysis…

数据结构与算法 · 计算机科学 2019-03-05 Fatih Taşyaran , Kerem Yıldırır , Kamer Kaya , Mustafa Kemal Taş

In this paper we offer a metric similar to graph edit distance which measures the distance between two (possibly infinite)weighted graphs with finite norm (we define the norm of a graph as the sum of absolute values of its edges). The main…

度量几何 · 数学 2009-06-16 Hamed Daneshpajouh , Hamid Reza Daneshpajouh , Farzad Didehvar

We give the first L_1-sketching algorithm for integer vectors which produces nearly optimal sized sketches in nearly linear time. This answers the first open problem in the list of open problems from the 2006 IITK Workshop on Algorithms for…

数据结构与算法 · 计算机科学 2009-04-15 Jelani Nelson , David P. Woodruff

Given a stream of entries over time in a multi-dimensional data setting where concept drift is present, how can we detect anomalous activities? Most of the existing unsupervised anomaly detection approaches seek to detect anomalous events…

机器学习 · 计算机科学 2022-03-07 Siddharth Bhatia , Arjit Jain , Shivin Srivastava , Kenji Kawaguchi , Bryan Hooi

We present an algorithm for the maximum matching problem in dynamic (insertion-deletions) streams with *asymptotically optimal* space complexity: for any $n$-vertex graph, our algorithm with high probability outputs an $\alpha$-approximate…

数据结构与算法 · 计算机科学 2022-02-01 Sepehr Assadi , Vihan Shah

In many problems in data mining and machine learning, data items that need to be clustered or classified are not points in a high-dimensional space, but are distributions (points on a high dimensional simplex). For distributions, natural…

数据结构与算法 · 计算机科学 2007-07-13 Sudipto Guha , Andrew McGregor , Suresh Venkatasubramanian

The majority of streaming problems are defined and analyzed in a static setting, where the data stream is any worst-case sequence of insertions and deletions that is fixed in advance. However, many real-world applications require a more…

数据结构与算法 · 计算机科学 2024-09-25 Elena Gribelyuk , Honghao Lin , David P. Woodruff , Huacheng Yu , Samson Zhou

Given a set of k networks, possibly with different sizes and no overlaps in nodes or edges, how can we quickly assess similarity between them, without solving the node-correspondence problem? Analogously, how can we extract a small number…

社会与信息网络 · 计算机科学 2012-09-13 Michele Berlingerio , Danai Koutra , Tina Eliassi-Rad , Christos Faloutsos

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
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