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Cardinality estimation is a fundamental task in database query processing and optimization. As shown in recent papers, machine learning (ML)-based approaches can deliver more accurate cardinality estimations than traditional approaches.…

Databases · Computer Science 2022-01-19 Lucas Woltmann , Claudio Hartmann , Dirk Habich , Wolfgang Lehner

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

Existing approaches to federated learning suffer from a communication bottleneck as well as convergence issues due to sparse client participation. In this paper we introduce a novel algorithm, called FetchSGD, to overcome these challenges.…

Random sketching is a dimensionality reduction technique that approximately preserves norms and singular values up to some $O(1)$ distortion factor with high probability. The most popular sketches in literature are the Gaussian sketch and…

Numerical Analysis · Mathematics 2025-08-21 Andrew J. Higgins , Erik G. Boman , Ichitaro Yamazaki

Many real-world matrix datasets arrive as high-throughput vector streams, making it impractical to store or process them in their entirety. To enable real-time analytics under limited computational, memory, and communication resources,…

Databases · Computer Science 2026-01-12 Hanyan Yin , Dongxie Wen , Jiajun Li , Zhewei Wei , Xiao Zhang , Peng Zhao , Zhi-Hua Zhou

Count-sketch is a popular matrix sketching algorithm that can produce a sketch of an input data matrix X in O(nnz(X))time where nnz(X) denotes the number of non-zero entries in X. The sketched matrix will be much smaller than X while…

Machine Learning · Computer Science 2020-11-30 Yuhan Wang , Zijian Lei , Liang Lan

Modern hardware systems are heavily underutilized when running large-scale graph applications. While many in-memory graph frameworks have made substantial progress in optimizing these applications, we show that it is still possible to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-15 Yunming Zhang , Vladimir Kiriansky , Charith Mendis , Matei Zaharia , Saman Amarasinghe

We present DegreeSketch, a semi-streaming distributed sketch data structure and demonstrate its utility for estimating local neighborhood sizes and local triangle count heavy hitters on massive graphs. DegreeSketch consists of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-10 Benjamin W. Priest

Maximal clique enumeration (MCE) is a fundamental problem in graph theory and is used in many applications, such as social network analysis, bioinformatics, intelligent agent systems, cyber security, etc. Most existing MCE algorithms focus…

Databases · Computer Science 2020-12-01 Xiaofan Li , Rui Zhou , Lu Chen , Chengfei Liu , Qiang He , Yun Yang

We propose OverSketch, an approximate algorithm for distributed matrix multiplication in serverless computing. OverSketch leverages ideas from matrix sketching and high-performance computing to enable cost-efficient multiplication that is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-25 Vipul Gupta , Shusen Wang , Thomas Courtade , Kannan Ramchandran

Modern stream processing systems often need to track the frequency of distinct keys in a data stream in real-time. Since maintaining exact counts can require a prohibitive amount of memory, many applications rely on compact, probabilistic…

Data Structures and Algorithms · Computer Science 2026-04-29 Navid Eslami , Ioana O. Bercea , Rasmus Pagh , Niv Dayan

We present UDDSketch (Uniform DDSketch), a novel sketch for fast and accurate tracking of quantiles in data streams. This sketch is heavily inspired by the recently introduced DDSketch, and is based on a novel bucket collapsing procedure…

Data Structures and Algorithms · Computer Science 2020-04-21 Italo Epicoco , Catiuscia Melle , Massimo Cafaro , Marco Pulimeno , Giuseppe Morleo

Data summarizations are a valuable tool to derive knowledge from large data streams and have proven their usefulness in a great number of applications. Summaries can be found by optimizing submodular functions. These functions map subsets…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-22 Philipp-Jan Honysz , Alexander Schulze-Struchtrup , Sebastian Buschjäger , Katharina Morik

Sketching is a powerful dimensionality reduction technique for accelerating algorithms for data analysis. A crucial step in sketching methods is to compute a subspace embedding (SE) for a large matrix $\mathbf{A} \in \mathbb{R}^{N \times…

Data Structures and Algorithms · Computer Science 2021-07-14 Rajesh Jayaram , Alireza Samadian , David P. Woodruff , Peng Ye

Count-Min Sketch with Conservative Updates (CMS-CU) is a memory-efficient hash-based data structure used to estimate the occurrences of items within a data stream. CMS-CU stores $m$ counters and employs $d$ hash functions to map items to…

Data Structures and Algorithms · Computer Science 2024-05-22 Younes Ben Mazziane , Othmane Marfoq

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-11 Diana Cohen , Roy Friedman , Rana Shahout

To approximate sums of values in key-value data streams, sketches are widely used in databases and networking systems. They offer high-confidence approximations for any given key while ensuring low time and space overhead. While existing…

Data Structures and Algorithms · Computer Science 2024-06-04 Yuhan Wu , Hanbo Wu , Xilai Liu , Yikai Zhao , Tong Yang , Kaicheng Yang , Sha Wang , Lihua Miao , Gaogang Xie

Count-Min Sketch is a widely adopted algorithm for approximate event counting in large scale processing. However, the original version of the Count-Min-Sketch (CMS) suffers of some deficiences, especially if one is interested by the…

Information Retrieval · Computer Science 2015-02-18 Guillaume Pitel , Geoffroy Fouquier

Quantile computation is a core primitive in large-scale data analytics. In Spark, practitioners typically rely on the Greenwald-Khanna (GK) Sketch, an approximate method. When exact quantiles are required, the default option is an expensive…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-29 Ivan Cao , Jaromir J. Saloni , David A. G. Harrison

Often, machine learning applications have to cope with dynamic environments where data are collected in the form of continuous data streams with potentially infinite length and transient behavior. Compared to traditional (batch) data…

Machine Learning · Computer Science 2021-12-21 Guilherme Cassales , Heitor Gomes , Albert Bifet , Bernhard Pfahringer , Hermes Senger