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Count-Min Sketch with Conservative Updates (CMS-CU) is a popular algorithm to approximately count items' appearances in a data stream. Despite CMS-CU's widespread adoption, the theoretical analysis of its performance is still wanting…

Discrete Mathematics · Computer Science 2022-03-29 Younes Ben Mazziane , Sara Alouf , Giovanni Neglia

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

Subgraph counting is a fundamental primitive in graph processing, with applications in social network analysis (e.g., estimating the clustering coefficient of a graph), database processing and other areas. The space complexity of subgraph…

Data Structures and Algorithms · Computer Science 2018-08-16 John Kallaugher , Michael Kapralov , Eric Price

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 introduce a new sub-linear space sketch---the Weight-Median Sketch---for learning compressed linear classifiers over data streams while supporting the efficient recovery of large-magnitude weights in the model. This enables…

Machine Learning · Computer Science 2018-04-10 Kai Sheng Tai , Vatsal Sharan , Peter Bailis , Gregory Valiant

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

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

Gaussian Graphical Models (GGM) are often used to describe the conditional correlations between the components of a random vector. In this article, we compare two families of GGM inference methods: nodewise edge selection and penalised…

Graphical models serve as effective tools for visualizing conditional dependencies between variables. However, as the number of variables grows, interpretation becomes increasingly difficult, and estimation uncertainty increases due to the…

Machine Learning · Statistics 2026-03-25 D. J. W. Touw , A. Alfons , P. J. F. Groenen , I. Wilms

Elastic-Sketch is a hash-based data structure for counting item's appearances in a data stream, and it has been empirically shown to achieve a better memory-accuracy trade-off compared to classical methods. This algorithm combines a heavy…

Data Structures and Algorithms · Computer Science 2026-03-27 Younes Ben Mazziane , Vinay Kumar B. R. , Othmane Marfoq

This paper describes a suite of algorithms for constructing low-rank approximations of an input matrix from a random linear image of the matrix, called a sketch. These methods can preserve structural properties of the input matrix, such as…

Numerical Analysis · Computer Science 2018-01-03 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

This paper develops conformal inference methods to construct a confidence interval for the frequency of a queried object in a very large discrete data set, based on a sketch with a lower memory footprint. This approach requires no knowledge…

Methodology · Statistics 2023-08-17 Matteo Sesia , Stefano Favaro , Edgar Dobriban

Leveraging the kernel trick in both the input and output spaces, surrogate kernel methods are a flexible and theoretically grounded solution to structured output prediction. If they provide state-of-the-art performance on complex data sets…

Machine Learning · Statistics 2024-05-07 Tamim El Ahmad , Luc Brogat-Motte , Pierre Laforgue , Florence d'Alché-Buc

A flexible conformal inference method is developed to construct confidence intervals for the frequencies of queried objects in very large data sets, based on a much smaller sketch of those data. The approach is data-adaptive and requires no…

Methodology · Statistics 2022-11-10 Matteo Sesia , Stefano Favaro

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

Demands are increasing to measure per-flow statistics in the data plane of high-speed switches. Measuring flows with exact counting is infeasible due to processing and memory constraints, but a sketch is a promising candidate for collecting…

Networking and Internet Architecture · Computer Science 2021-11-05 SunYoung Kim , Changhun Jung , RhongHo Jang , David Mohaisen , DaeHun Nyang

While traditional data-management systems focus on evaluating single, ad-hoc queries over static data sets in a centralized setting, several emerging applications require (possibly, continuous) answers to queries on dynamic data that is…

Databases · Computer Science 2015-03-20 Odysseas Papapetrou , Minos Garofalakis , Antonios Deligiannakis

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

In this work, we present a dimensionality reduction algorithm, aka. sketching, for categorical datasets. Our proposed sketching algorithm Cabin constructs low-dimensional binary sketches from high-dimensional categorical vectors, and our…

Machine Learning · Computer Science 2021-11-16 Bhisham Dev Verma , Rameshwar Pratap , Debajyoti Bera

Frequency estimation in streaming data often relies on sketches like Count-Min (CM) to provide approximate answers with sublinear space. However, CM sketches introduce additive errors that disproportionately impact low-frequency elements,…

Data Structures and Algorithms · Computer Science 2025-05-27 Nima Shahbazi , Stavros Sintos , Abolfazl Asudeh