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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…

Data Structures and Algorithms · Computer Science 2015-03-19 Amirali Abdullah , Ravi Kumar , Andrew McGregor , Sergei Vassilvitskii , Suresh Venkatasubramanian

Estimating set similarity and detecting highly similar sets are fundamental problems in areas such as databases, machine learning, and information retrieval. MinHash is a well-known technique for approximating Jaccard similarity of sets and…

Data Structures and Algorithms · Computer Science 2019-05-23 Pinghui Wang , Yiyan Qi , Yuanming Zhang , Qiaozhu Zhai , Chenxu Wang , John C. S. Lui , Xiaohong Guan

Screening and working set techniques are important approaches to reducing the size of an optimization problem. They have been widely used in accelerating first-order methods for solving large-scale sparse learning problems. In this paper,…

Machine Learning · Statistics 2023-04-24 Jian Huang , Yuling Jiao , Lican Kang , Jin Liu , Yanyan Liu , Xiliang Lu , Yuanyuan Yang

Spatial-query-by-sketch is an intuitive tool to explore human spatial knowledge about geographic environments and to support communication with scene database queries. However, traditional sketch-based spatial search methods perform…

Computer Vision and Pattern Recognition · Computer Science 2022-02-11 Danhuai Guo , Shiyin Ge , Shu Zhang , Song Gao , Ran Tao , Yangang Wang

Subsampled natural gradient descent (SNG) has been used to enable high-precision scientific machine learning, but standard analyses based on stochastic preconditioning fail to provide insight into realistic small-sample settings. We…

Machine Learning · Computer Science 2026-02-06 Gil Goldshlager , Jiang Hu , Lin Lin

We present a new Krylov subspace recycling method for solving a linear system of equations, or a sequence of slowly changing linear systems. Our approach is to reduce the computational overhead of recycling techniques while still benefiting…

Numerical Analysis · Mathematics 2024-09-30 Liam Burke , Stefan Güttel , Kirk M. Soodhalter

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

Since its discovery over the last decade, Compressed Sensing (CS) has been successfully applied to Magnetic Reso- nance Imaging (MRI). It has been shown to be a powerful way to reduce scanning time without sacrificing image quality. MR…

Applications · Statistics 2013-07-29 Nicolas Chauffert , Philippe Ciuciu , Pierre Weiss , Fabrice Gamboa

We show how to approximate a data matrix $\mathbf{A}$ with a much smaller sketch $\mathbf{\tilde A}$ that can be used to solve a general class of constrained k-rank approximation problems to within $(1+\epsilon)$ error. Importantly, this…

Data Structures and Algorithms · Computer Science 2015-04-06 Michael B. Cohen , Sam Elder , Cameron Musco , Christopher Musco , Madalina Persu

The $k$-Minimum Values (\kmv) data sketch algorithm stores the $k$ least hash keys generated by hashing the items in a dataset. We show that compression based on ordering the keys and encoding successive differences can offer $O(\log n)$…

Data Structures and Algorithms · Computer Science 2024-09-05 Charlie Dickens , Eric Bax , Alexander Saydakov

We introduce a novel sketch-to-image tool that aligns with the iterative refinement process of artists. Our tool lets users sketch blocking strokes to coarsely represent the placement and form of objects and detail strokes to refine their…

Graphics · Computer Science 2024-10-28 Vishnu Sarukkai , Lu Yuan , Mia Tang , Maneesh Agrawala , Kayvon Fatahalian

We propose a novel randomized framework for the estimation problem of large-scale linear statistical models, namely Sequential Least-Squares Estimators with Fast Randomized Sketching (SLSE-FRS), which integrates Sketch-and-Solve and…

Machine Learning · Statistics 2025-09-09 Guan-Yu Chen , Xi Yang

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…

Databases · Computer Science 2025-05-20 Zicang Xu , Yuxuan Tian , Yuhan Wu , Tong Yang

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

With the continuous increase in the number and resolution of video surveillance cameras, the burden of transmitting and storing surveillance video is growing. Traditional communication methods based on Shannon's theory are facing…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Baoping Cheng , Yukun Zhang , Liming Wang , Xiaoyan Xie , Tao Fu , Dongkun Wang , Xiaoming Tao

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

Conceptualizing away the sketch processing details in a user interface will enable general users and domain experts to create more complex sketches. There are many domains for which sketch recognition systems are being developed. But they…

Computer Vision and Pattern Recognition · Computer Science 2012-11-13 Vasudha Vashisht , Tanupriya Choudhury , T. V. Prasad

In this work, we study distributed sketching methods for large scale regression problems. We leverage multiple randomized sketches for reducing the problem dimensions as well as preserving privacy and improving straggler resilience in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-23 Burak Bartan , Mert Pilanci

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…

Machine Learning · Computer Science 2017-05-08 Nicolas Keriven , Anthony Bourrier , Rémi Gribonval , Patrick Pérez

This paper presents an algorithm to solve the Soft k-Means problem globally. Unlike Fuzzy c-Means, Soft k-Means (SkM) has a matrix factorization-type objective and has been shown to have a close relation with the popular probability…

Machine Learning · Computer Science 2022-12-08 Feiping Nie , Hong Chen , Rong Wang , Xuelong Li