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The blooming availability of traces for social, biological, and communication networks opens up unprecedented opportunities in analyzing diffusion processes in networks. However, the sheer sizes of the nowadays networks raise serious…

Data Structures and Algorithms · Computer Science 2017-09-13 Hung T. Nguyen , Tri P. Nguyen , NhatHai Phan , Thang N. Dinh

Graph Neural Networks (GNNs) are widely applied to graph learning problems such as node classification. When scaling up the underlying graphs of GNNs to a larger size, we are forced to either train on the complete graph and keep the full…

Machine Learning · Computer Science 2024-06-25 Mucong Ding , Tahseen Rabbani , Bang An , Evan Z Wang , Furong Huang

Applications in various domains rely on processing graph streams, e.g., communication logs of a cloud-troubleshooting system, road-network traffic updates, and interactions on a social network. A labeled-graph stream refers to a sequence of…

Databases · Computer Science 2017-09-21 Mohamed S. Hassan , Bruno Ribeiro , Walid G. Aref

Sketches have shown high accuracy in multi-way join cardinality estimation, a critical problem in cost-based query optimization. Accurately estimating the cardinality of a join operation -- analogous to its computational cost -- allows the…

Databases · Computer Science 2025-06-18 Brian Tsan , Abylay Amanbayev , Asoke Datta , Florin Rusu

In-band Network Telemetry (INT) and sketching algorithms are two promising directions for measuring network traffics in real time. To combine sketch with INT and preserve their advantages, a representative approach is to use INT to send a…

Networking and Internet Architecture · Computer Science 2022-12-12 Zhongxiang Wei , Ye Tian , Wei Chen , Liyuan Gu , Xinming Zhang

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

We present the first sublinear memory sketch that can be queried to find the nearest neighbors in a dataset. Our online sketching algorithm compresses an N element dataset to a sketch of size $O(N^b \log^3 N)$ in $O(N^{(b+1)} \log^3 N)$…

Data Structures and Algorithms · Computer Science 2020-09-15 Benjamin Coleman , Richard G. Baraniuk , Anshumali Shrivastava

Quantiles, such as the median or percentiles, provide concise and useful information about the distribution of a collection of items, drawn from a totally ordered universe. We study data structures, called quantile summaries, which keep…

Data Structures and Algorithms · Computer Science 2026-01-27 Graham Cormode , Pavel Veselý

We propose a deep hashing framework for sketch retrieval that, for the first time, works on a multi-million scale human sketch dataset. Leveraging on this large dataset, we explore a few sketch-specific traits that were otherwise…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Peng Xu , Yongye Huang , Tongtong Yuan , Kaiyue Pang , Yi-Zhe Song , Tao Xiang , Timothy M. Hospedales , Zhanyu Ma , Jun Guo

Structured high-cardinality data arises in many domains, and poses a major challenge for both modeling and inference. Graphical models are a popular approach to modeling structured data but they are unsuitable for high-cardinality…

Data Structures and Algorithms · Computer Science 2016-07-19 Branislav Kveton , Hung Bui , Mohammad Ghavamzadeh , Georgios Theocharous , S. Muthukrishnan , Siqi Sun

Sketching is a stochastic dimension reduction method that preserves geometric structures of data and has applications in high-dimensional regression, low rank approximation and graph sparsification. In this work, we show that sketching can…

Machine Learning · Statistics 2021-09-17 Zhishen Huang , Stephen Becker

Recently, Bessa et al. (PODS 2023) showed that sketches based on coordinated weighted sampling theoretically and empirically outperform popular linear sketching methods like Johnson-Lindentrauss projection and CountSketch for the ubiquitous…

Databases · Computer Science 2024-08-23 Majid Daliri , Juliana Freire , Christopher Musco , Aécio Santos , Haoxiang Zhang

In sketched clustering, a dataset of $T$ samples is first sketched down to a vector of modest size, from which the centroids are subsequently extracted. Advantages include i) reduced storage complexity and ii) centroid extraction complexity…

Information Theory · Computer Science 2019-05-21 Evan Byrne , Antoine Chatalic , Remi Gribonval , Philip Schniter

Sketching has emerged as a powerful technique for speeding up problems in numerical linear algebra, such as regression. In the overconstrained regression problem, one is given an $n \times d$ matrix $A$, with $n \gg d$, as well as an $n…

Data Structures and Algorithms · Computer Science 2017-05-31 Eric Price , Zhao Song , David P. Woodruff

As data volume grows extensively, data profiling helps to extract metadata of large-scale data. However, one kind of metadata, order statistics, is difficult to be computed because they are not mergeable or incremental. Thus, the limitation…

Data Structures and Algorithms · Computer Science 2020-06-29 Zhiwei Chen , Aoqian Zhang

A longstanding observation, which was partially proven in \cite{LNW14,AHLW16}, is that any turnstile streaming algorithm can be implemented as a linear sketch (the reverse is trivially true). We study the relationship between turnstile…

Data Structures and Algorithms · Computer Science 2021-01-06 John Kallaugher , Eric Price

In all state-of-the-art sketching and coreset techniques for clustering, as well as in the best known fixed-parameter tractable approximation algorithms, randomness plays a key role. For the classic $k$-median and $k$-means problems, there…

Data Structures and Algorithms · Computer Science 2023-10-09 Vincent Cohen-Addad , David Saulpic , Chris Schwiegelshohn

In this paper, we show that the bundle method can be applied to solve semidefinite programming problems with a low rank solution without ever constructing a full matrix. To accomplish this, we use recent results from randomly sketching…

Optimization and Control · Mathematics 2021-02-02 Lijun Ding , Benjamin Grimmer

We initiate the study of sub-linear sketching and streaming techniques for estimating the output size of common dictionary compressors such as Lempel-Ziv '77, the run-length Burrows-Wheeler transform, and grammar compression. To this end,…

Data Structures and Algorithms · Computer Science 2024-08-20 Ruben Becker , Matteo Canton , Davide Cenzato , Sung-Hwan Kim , Bojana Kodric , Nicola Prezza

One approach to improving the running time of kernel-based machine learning methods is to build a small sketch of the input and use it in lieu of the full kernel matrix in the machine learning task of interest. Here, we describe a version…

Machine Learning · Statistics 2015-11-10 Ahmed El Alaoui , Michael W. Mahoney
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