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Categorical attributes are those that can take a discrete set of values, e.g., colours. This work is about compressing vectors over categorical attributes to low-dimension discrete vectors. The current hash-based methods compressing vectors…

Machine Learning · Computer Science 2021-12-08 Debajyoti Bera , Rameshwar Pratap , Bhisham Dev Verma

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

Gaussian Splatting has emerged as a high-performance technique for novel view synthesis, enabling real-time rendering and high-quality reconstruction of small scenes. However, scaling to larger environments has so far relied on partitioning…

We introduce and study a new data sketch for processing massive datasets. It addresses two common problems: 1) computing a sum given arbitrary filter conditions and 2) identifying the frequent items or heavy hitters in a data set. For the…

Computation · Statistics 2017-09-14 Daniel Ting

Graph sketching has emerged as a powerful technique for processing massive graphs that change over time (i.e., are presented as a dynamic stream of edge updates) over the past few years, starting with the work of Ahn, Guha and McGregor…

Data Structures and Algorithms · Computer Science 2019-03-29 Michael Kapralov , Aida Mousavifar , Cameron Musco , Christopher Musco , Navid Nouri

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

In order to deal with multidimensional structure representations of real-world networks, as well as with their worst-case irreducible information content analysis, the demand for new graph abstractions increases. This article investigates…

Information Theory · Computer Science 2024-10-21 Felipe S. Abrahão , Klaus Wehmuth , Hector Zenil , Artur Ziviani

A $(1 \pm \epsilon)$-sparsifier of a hypergraph $G(V,E)$ is a (weighted) subgraph that preserves the value of every cut to within a $(1 \pm \epsilon)$-factor. It is known that every hypergraph with $n$ vertices admits a $(1 \pm…

Data Structures and Algorithms · Computer Science 2024-07-08 Sanjeev Khanna , Aaron L. Putterman , Madhu Sudan

CountSketch is a popular dimensionality reduction technique that maps vectors to a lower dimension using randomized linear measurements. The sketch supports recovering $\ell_2$-heavy hitters of a vector (entries with $v[i]^2 \geq…

Data Structures and Algorithms · Computer Science 2022-03-01 Edith Cohen , Xin Lyu , Jelani Nelson , Tamás Sarlós , Moshe Shechner , Uri Stemmer

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

Data Structures and Algorithms · Computer Science 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

Humans show high-level of abstraction capabilities in games that require quickly communicating object information. They decompose the message content into multiple parts and communicate them in an interpretable protocol. Toward equipping…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Stephan Alaniz , Massimiliano Mancini , Anjan Dutta , Diego Marcos , Zeynep Akata

We tackle a new problem: generating geometrically consistent multi-view scenes from a single freehand sketch. Freehand sketches are the most geometrically impoverished input one could offer a multi-view generator. They convey scene intent…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Ahmed Bourouis , Savas Ozkan , Andrea Maracani , Yi-Zhe Song , Mete Ozay

In recent years, multi-view subspace learning has been garnering increasing attention. It aims to capture the inner relationships of the data that are collected from multiple sources by learning a unified representation. In this way,…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Shizhen Chang , Michael Kopp , Pedram Ghamisi

We consider the problem of finding a minimum cut of a weighted graph presented as a single-pass stream. While graph sparsification in streams has been intensively studied, the specific application of finding minimum cuts in streams is less…

Data Structures and Algorithms · Computer Science 2024-12-09 Matthew Ding , Alexandro Garces , Jason Li , Honghao Lin , Jelani Nelson , Vihan Shah , David P. Woodruff

With the involvement of artificial intelligence (AI), sketches can be automatically generated under certain topics. Even though breakthroughs have been made in previous studies in this area, a relatively high proportion of the generated…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Yunkui Pang , Zhiqing Pan , Ruiyang Sun , Shuchong Wang

Random data sketching (or projection) is now a classical technique enabling, for instance, approximate numerical linear algebra and machine learning algorithms with reduced computational complexity and memory. In this context, the…

Signal Processing · Electrical Eng. & Systems 2023-03-09 Rémi Delogne , Vincent Schellekens , Laurent Daudet , Laurent Jacques

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

In this paper, we revisit the classic CountSketch method, which is a sparse, random projection that transforms a (high-dimensional) Euclidean vector $v$ to a vector of dimension $(2t-1) s$, where $t, s > 0$ are integer parameters. It is…

Data Structures and Algorithms · Computer Science 2021-02-04 Kasper Green Larsen , Rasmus Pagh , Jakub Tětek

We provide a deterministic space-efficient algorithm for estimating ridge regression. For $n$ data points with $d$ features and a large enough regularization parameter, we provide a solution within $\varepsilon$ L$_2$ error using only…

Machine Learning · Computer Science 2021-06-29 Benwei Shi , Jeff M. Phillips

Quantile summaries provide a scalable way to estimate the distribution of individual attributes in large datasets that are often distributed across multiple machines or generated by sensor networks. ReqSketch (arXiv:2004.01668) is currently…

Data Structures and Algorithms · Computer Science 2025-11-24 Tomáš Domes , Pavel Veselý