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Estimating the frequency of items on the high-volume, fast data stream has been extensively studied in many areas, such as database and network measurement. Traditional sketches provide only coarse estimates under strict memory constraints.…

Machine Learning · Computer Science 2026-03-26 Xinyu Yuan , Yan Qiao , Meng Li , Zhenchun Wei , Cuiying Feng , Zonghui Wang , Wenzhi Chen

Estimating the number of distinct elements in a data stream is well understood when repeated elements are identical. In modern settings, however, observations are high-dimensional and noisy, so repeated instances of the same object are only…

Machine Learning · Statistics 2026-05-18 Nikos Tsikouras , Constantine Caramanis , Christos Tzamos

VR sketching lets users explore and iterate on ideas directly in 3D, offering a faster and more intuitive alternative to conventional CAD tools. However, existing sketch-to-shape models ignore the temporal ordering of strokes, discarding…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Yizi Chen , Sidi Wu , Tianyi Xiao , Nina Wiedemann , Loic Landrieu

Linear algebraic operations are ubiquitous in engineering applications, and arise often in a variety of fields including statistical signal processing and machine learning. With contemporary large datasets, to perform linear algebraic…

Numerical Analysis · Mathematics 2025-09-24 Neophytos Charalambides , Arya Mazumdar

There has been a significant amount of work in the literature proposing semantic relaxation of concurrent data structures for improving scalability and performance. By relaxing the semantics of a data structure, a bigger design space, that…

Data Structures and Algorithms · Computer Science 2025-11-11 Adones Rukundo , Aras Atalar , Philippas Tsigas

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

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

Time series data appears in a variety of applications such as smart transportation and environmental monitoring. One of the fundamental problems for time series analysis is time series forecasting. Despite the success of recent deep time…

Artificial Intelligence · Computer Science 2022-09-28 Baoyu Jing , Si Zhang , Yada Zhu , Bin Peng , Kaiyu Guan , Andrew Margenot , Hanghang Tong

Given a database, computing the fraction of rows that contain a query itemset or determining whether this fraction is above some threshold are fundamental operations in data mining. A uniform sample of rows is a good sketch of the database…

Data Structures and Algorithms · Computer Science 2016-03-10 Edo Liberty , Michael Mitzenmacher , Justin Thaler , Jonathan Ullman

Time series anomaly detection is an important process for system monitoring and model switching, among other applications in cyber-physical systems. In this document, we present a fast subspace method for time series anomaly detection, with…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Fredy Vides , Esteban Segura , Carlos Vargas-Agüero

Semidefinite programming is an important tool to tackle several problems in data science and signal processing, including clustering and community detection. However, semidefinite programs are often slow in practice, so speed up techniques…

Optimization and Control · Mathematics 2022-05-11 Pedro Abdalla , Afonso S. Bandeira

For any stream of time-stamped edges that form a dynamic network, an important choice is the aggregation granularity that an analyst uses to bin the data. Picking such a windowing of the data is often done by hand, or left up to the…

Social and Information Networks · Computer Science 2017-02-28 Benjamin Fish , Rajmonda S. Caceres

We provide a fast distributed algorithm for detecting $h$-cycles in the \textsf{Congested Clique} model, whose running time decreases as the number of $h$-cycles in the graph increases. In undirected graphs, constant-round algorithms are…

Data Structures and Algorithms · Computer Science 2024-08-28 Keren Censor-Hillel , Tomer Even , Virginia Vassilevska Williams

Multivariate time series anomaly detection (MTSAD) aims to accurately identify and localize complex abnormal patterns in the large-scale industrial control systems. While existing approaches excel in recognizing the distinct patterns under…

Machine Learning · Computer Science 2025-12-17 Xuechun Liu , Heli Sun , Xuecheng Wu , Ruichen Cao , Yunyun Shi , Dingkang Yang , Haoran Li

Deep learning has made profound impacts in the domains of data mining and AI, distinguished by the groundbreaking achievements in numerous real-world applications and the innovative algorithm design philosophy. However, it suffers from the…

Machine Learning · Computer Science 2024-09-24 Di Wang , Shao-Bo Lin , Deyu Meng , Feilong Cao

Dynamic connectivity is a fundamental dynamic graph problem, and recent algorithmic breakthroughs on dynamic graph sketching have reshaped what is theoretically possible: by encoding the graph as per-vertex linear sketches, these algorithms…

Data Structures and Algorithms · Computer Science 2026-05-15 Quinten De Man , Gilvir Gill , Michael A. Bender , Laxman Dhulipala , David Tench

Interactive analytics increasingly involves querying for quantiles over sub-populations of high cardinality datasets. Data processing engines such as Druid and Spark use mergeable summaries to estimate quantiles, but summary merge times can…

Databases · Computer Science 2018-07-17 Edward Gan , Jialin Ding , Kai Sheng Tai , Vatsal Sharan , Peter Bailis

We present a set of algorithms implementing multidimensional scaling (MDS) for large data sets. MDS is a family of dimensionality reduction techniques using a $n \times n$ distance matrix as input, where $n$ is the number of individuals,…

Computation · Statistics 2024-02-02 Pedro Delicado , Cristian Pachón-García

Constrained least squares problems arise in many applications. Their memory and computation costs are expensive in practice involving high-dimensional input data. We employ the so-called "sketching" strategy to project the least squares…

Optimization and Control · Mathematics 2021-09-07 Ke Chen , Ruhui Jin

In our "big data" age, the size and complexity of data is steadily increasing. Methods for dimension reduction are ever more popular and useful. Two distinct types of dimension reduction are "data-oblivious" methods such as random…

Statistics Theory · Mathematics 2021-03-30 Fan Yang , Sifan Liu , Edgar Dobriban , David P. Woodruff