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Binary embedding is a nonlinear dimension reduction methodology where high dimensional data are embedded into the Hamming cube while preserving the structure of the original space. Specifically, for an arbitrary $N$ distinct points in…

数据结构与算法 · 计算机科学 2019-01-24 Xinyang Yi , Constantine Caramanis , Eric Price

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…

计算机视觉与模式识别 · 计算机科学 2018-04-05 Peng Xu , Yongye Huang , Tongtong Yuan , Kaiyue Pang , Yi-Zhe Song , Tao Xiang , Timothy M. Hospedales , Zhanyu Ma , Jun Guo

We consider sketching algorithms which first compress data by multiplication with a random sketch matrix, and then apply the sketch to quickly solve an optimization problem, e.g., low-rank approximation and regression. In the learning-based…

机器学习 · 计算机科学 2024-04-12 Yi Li , Honghao Lin , Simin Liu , Ali Vakilian , David P. Woodruff

Sketching techniques have become popular for scaling up machine learning algorithms by reducing the sample size or dimensionality of massive data sets, while still maintaining the statistical power of big data. In this paper, we study…

机器学习 · 计算机科学 2016-10-11 Jialei Wang , Jason D. Lee , Mehrdad Mahdavi , Mladen Kolar , Nathan Srebro

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…

最优化与控制 · 数学 2021-09-07 Ke Chen , Ruhui Jin

Learning parameters from voluminous data can be prohibitive in terms of memory and computational requirements. We propose a "compressive learning" framework where we estimate model parameters from a sketch of the training data. This sketch…

机器学习 · 计算机科学 2017-05-08 Nicolas Keriven , Anthony Bourrier , Rémi Gribonval , Patrick Pérez

Pairwise alignment of DNA sequencing data is a ubiquitous task in bioinformatics and typically represents a heavy computational burden. A standard approach to speed up this task is to compute "sketches" of the DNA reads (typically via…

信息论 · 计算机科学 2021-07-12 Ilan Shomorony , Govinda M. Kamath

Persistence diagrams have been widely used to quantify the underlying features of filtered topological spaces in data visualization. In many applications, computing distances between diagrams is essential; however, computing these distances…

计算几何 · 计算机科学 2021-08-12 Yu Qin , Brittany Terese Fasy , Carola Wenk , Brian Summa

This paper proposes a generic formulation that significantly expedites the training and deployment of image classification models, particularly under the scenarios of many image categories and high feature dimensions. As a defining…

计算机视觉与模式识别 · 计算机科学 2016-03-15 Fumin Shen , Yadong Mu , Wei Liu , Yang Yang , Heng Tao Shen

Estimating cardinality, i.e., the number of distinct elements, of a data stream is a fundamental problem in areas like databases, computer networks, and information retrieval. This study delves into a broader scenario where each element…

数据库 · 计算机科学 2024-06-28 Yiyan Qi , Rundong Li , Pinghui Wang , Yufang Sun , Rui Xing

Information distances like the Hellinger distance and the Jensen-Shannon divergence have deep roots in information theory and machine learning. They are used extensively in data analysis especially when the objects being compared are high…

数据结构与算法 · 计算机科学 2015-03-19 Amirali Abdullah , Ravi Kumar , Andrew McGregor , Sergei Vassilvitskii , Suresh Venkatasubramanian

It is often desirable to reduce the dimensionality of a large dataset by projecting it onto a low-dimensional subspace. Matrix sketching has emerged as a powerful technique for performing such dimensionality reduction very efficiently. Even…

机器学习 · 计算机科学 2022-06-15 Michał Dereziński , Feynman Liang , Zhenyu Liao , Michael W. Mahoney

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…

统计方法学 · 统计学 2019-04-04 Daniel Ahfock , William J. Astle , Sylvia Richardson

Modern data stream applications demand memory-efficient solutions for accurately tracking frequent items, such as heavy hitters and heavy changers, under strict resource constraints. Traditional sketches face inherent accuracy-memory…

数据库 · 计算机科学 2025-05-20 Zicang Xu , Yuxuan Tian , Yuhan Wu , Tong Yang

We address the problem of converting large-scale high-dimensional image data into binary codes so that approximate nearest-neighbor search over them can be efficiently performed. Different from most of the existing unsupervised approaches…

计算机视觉与模式识别 · 计算机科学 2015-12-02 Tsung-Yu Lin , Tsung-Wei Ke , Tyng-Luh Liu

Document sketching using Jaccard similarity has been a workable effective technique in reducing near-duplicates in Web page and image search results, and has also proven useful in file system synchronization, compression and learning…

数据结构与算法 · 计算机科学 2014-10-17 Bernhard Haeupler , Mark Manasse , Kunal Talwar

Distance computation is one of the most fundamental primitives used in communication networks. The cost of effectively and accurately computing pairwise network distances can become prohibitive in large-scale networks such as the Internet…

数据结构与算法 · 计算机科学 2011-12-07 Atish Das Sarma , Michael Dinitz , Gopal Pandurangan

Large, distributed data streams are now ubiquitous. High-accuracy sketches with low memory overhead have become the de facto method for analyzing this data. For instance, if we wish to group data by some label and report the largest counts…

数据结构与算法 · 计算机科学 2024-02-14 Homin K. Lee , Charles Masson

Matrix sketching is a recently developed data compression technique. An input matrix A is efficiently approximated with a smaller matrix B, so that B preserves most of the properties of A up to some guaranteed approximation ratio. In so…

机器学习 · 统计学 2019-12-03 Roberta Falcone , Angela Montanari , Laura Anderlucci

We adapt a well known streaming algorithm for approximating item frequencies to the matrix sketching setting. The algorithm receives the rows of a large matrix $A \in \R^{n \times m}$ one after the other in a streaming fashion. It maintains…

数据结构与算法 · 计算机科学 2012-07-12 Edo Liberty