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Measuring the distance between data points is fundamental to many statistical techniques, such as dimension reduction or clustering algorithms. However, improvements in data collection technologies has led to a growing versatility of…

Methodology · Statistics 2022-06-20 George Bolt , Simón Lunagómez , Christopher Nemeth

The Smatch metric is a popular method for evaluating graph distances, as is necessary, for instance, to assess the performance of semantic graph parsing systems. However, we observe some issues in the metric that jeopardize meaningful…

Computation and Language · Computer Science 2025-10-17 Juri Opitz

Streaming data are increasingly present in real-world applications such as sensor measurements, satellite data feed, stock market, and financial data. The main characteristics of these applications are the online arrival of data…

Machine Learning · Computer Science 2020-07-01 Vinicius M. A. Souza , Denis M. dos Reis , Andre G. Maletzke , Gustavo E. A. P. A. Batista

Stellar streams are sensitive probes of the Milky Way's gravitational potential. The mean track of a stream constrains global properties of the potential, while its fine-grained surface density constrains galactic substructure. A precise…

Astrophysics of Galaxies · Physics 2023-11-29 Nathaniel Starkman , Jacob Nibauer , Jo Bovy , Jeremy J. Webb , Kiyan Tavangar , Adrian Price-Whelan , Ana Bonaca

This paper resolves one of the longest standing basic problems in the streaming computational model. Namely, optimal construction of quantile sketches. An $\varepsilon$ approximate quantile sketch receives a stream of items $x_1,\ldots,x_n$…

Data Structures and Algorithms · Computer Science 2016-04-07 Zohar Karnin , Kevin Lang , Edo Liberty

Sketching is a probabilistic data compression technique that has been largely developed in the computer science community. Numerical operations on big datasets can be intolerably slow; sketching algorithms address this issue by generating a…

Methodology · Statistics 2019-04-04 Daniel Ahfock , William J. Astle , Sylvia Richardson

We consider an approach for community detection in time-varying networks. At its core, this approach maintains a small sketch graph to capture the essential community structure found in each snapshot of the full network. We demonstrate how…

Physics and Society · Physics 2022-12-06 Andre Beckus , George K. Atia

Linear sketches are fundamental tools in data stream analytics. They are notable for supporting both approximate frequency queries and heavy hitter detection with bounded trade-offs for error and memory. Importantly, on streams that contain…

Cryptography and Security · Computer Science 2025-12-10 Rayne Holland

Many real-world networks such as Twitter and YouTube are given as fully dynamic graph streams represented as sequences of edge insertions and deletions. (e.g., users can subscribe and unsubscribe to channels on YouTube). Existing similarity…

Data Structures and Algorithms · Computer Science 2019-01-17 Peng Jia , Pinghui Wang , Jing Tao , Xiaohong Guan

Most density based stream clustering algorithms separate the clustering process into an online and offline component. Exact summarized statistics are being employed for defining micro-clusters or grid cells during the online stage followed…

Databases · Computer Science 2016-12-09 Andrei Sorin Sabau

Space-efficient streaming estimation of quantiles in massive datasets is a fundamental problem with numerous applications in data monitoring and analysis. While theoretical research led to optimal algorithms, such as the Greenwald-Khanna…

Data Structures and Algorithms · Computer Science 2025-09-12 Aleksander Łukasiewicz , Jakub Tětek , Pavel Veselý

Proliferation of touch-based devices has made sketch-based image retrieval practical. While many methods exist for sketch-based object detection/image retrieval on small datasets, relatively less work has been done on large (web)-scale…

Computer Vision and Pattern Recognition · Computer Science 2015-11-03 Sarthak Parui , Anurag Mittal

Graph streams are rapidly evolving sequences of edges that convey continuously changing relationships among entities, playing a crucial role in domains such as networking, finance, and cybersecurity. Their massive scale and high dynamism…

Databases · Computer Science 2026-02-18 Boyan Wang , Zhuochen Fan , Dayu Wang , Fangcheng Fu , Zeyu Luan , Lei Zou , Qing Li , Tong Yang

The Straightness is a measure designed to characterize a pair of vertices in a spatial graph. It is defined as the ratio of the Euclidean distance to the graph distance between these vertices. It is often used as an average, for instance to…

Discrete Mathematics · Computer Science 2023-05-12 Vincent Labatut

Identifying independence between two random variables or correlated given their samples has been a fundamental problem in Statistics. However, how to do so in a space-efficient way if the number of states is large is not quite well-studied.…

Data Structures and Algorithms · Computer Science 2022-11-21 Zhenhao Gu , Hao Zhang

Deep image-based modeling received lots of attention in recent years, yet the parallel problem of sketch-based modeling has only been briefly studied, often as a potential application. In this work, for the first time, we identify the main…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Yue Zhong , Yulia Gryaditskaya , Honggang Zhang , Yi-Zhe Song

Summary statistics such as the mean and variance are easily maintained for large, distributed data streams, but order statistics (i.e., sample quantiles) can only be approximately summarized. There is extensive literature on maintaining…

Databases · Computer Science 2019-08-29 Charles Masson , Jee E. Rim , Homin K. Lee

The number of triangles in a graph is a fundamental metric, used in social network analysis, link classification and recommendation, and more. Driven by these applications and the trend that modern graph datasets are both large and dynamic,…

Databases · Computer Science 2013-08-12 Kanat Tangwongsan , A. Pavan , Srikanta Tirthapura

Finding persistent sparse (PS) flow is critical to early warning of many threats. Previous works have predominantly focused on either heavy or persistent flows, with limited attention given to PS flows. Although some recent studies pay…

Data Structures and Algorithms · Computer Science 2025-05-09 Jiayao Wang , Qilong Shi , Xiyan Liang , Han Wang , Wenjun Li , Ziling Wei , Weizhe Zhang , Shuhui Chen

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
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