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Kernel methods are one of the cornerstones of learning-based control, modern system identification, surrogate modelling, and related fields. A key advantage of this class of learning and function approximation methods is the availability of…

Numerical Analysis · Mathematics 2026-05-20 Tizian Wenzel , Abdullah Tokmak , Christian Fiedler

The $c$-approximate Near Neighbor problem in high dimensional spaces has been mainly addressed by Locality Sensitive Hashing (LSH), which offers polynomial dependence on the dimension, query time sublinear in the size of the dataset, and…

Computational Geometry · Computer Science 2016-12-23 Georgia Avarikioti , Ioannis Z. Emiris , Ioannis Psarros , Georgios Samaras

Motivated by applications to the study of stochastic processes, we introduce a new analysis of positive definite kernels $K$, their reproducing kernel Hilbert spaces (RKHS), and an associated family of feature spaces that may be chosen in…

Functional Analysis · Mathematics 2017-07-27 Palle Jorgensen , Feng Tian

This work focuses on representing very high-dimensional global image descriptors using very compact 64-1024 bit binary hashes for instance retrieval. We propose DeepHash: a hashing scheme based on deep networks. Key to making DeepHash work…

Computer Vision and Pattern Recognition · Computer Science 2016-02-17 Jie Lin , Olivier Morere , Vijay Chandrasekhar , Antoine Veillard , Hanlin Goh

We present a new algorithm for the approximate near neighbor problem that combines classical ideas from group testing with locality-sensitive hashing (LSH). We reduce the near neighbor search problem to a group testing problem by…

Data Structures and Algorithms · Computer Science 2021-06-23 Joshua Engels , Benjamin Coleman , Anshumali Shrivastava

There is a growing trend in studying deep hashing methods for content-based image retrieval (CBIR), where hash functions and binary codes are learnt using deep convolutional neural networks and then the binary codes can be used to do…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Deng Cai , Xiuye Gu , Chaoqi Wang

Kernel methods obtain superb performance in terms of accuracy for various machine learning tasks since they can effectively extract nonlinear relations. However, their time complexity can be rather large especially for clustering tasks. In…

Machine Learning · Statistics 2015-10-29 Xu Wang , Gilad Lerman

We propose a novel hashing-based matching scheme, called Locally Optimized Hashing (LOH), based on a state-of-the-art quantization algorithm that can be used for efficient, large-scale search, recommendation, clustering, and deduplication.…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Yannis Kalantidis , Lyndon Kennedy , Huy Nguyen , Clayton Mellina , David A. Shamma

In this paper, we consider the nonparametric least square regression in a Reproducing Kernel Hilbert Space (RKHS). We propose a new randomized algorithm that has optimal generalization error bounds with respect to the square loss, closing a…

Machine Learning · Computer Science 2019-05-28 Kwang-Sung Jun , Ashok Cutkosky , Francesco Orabona

In supervised learning using kernel methods, we often encounter a large-scale finite-sum minimization over a reproducing kernel Hilbert space (RKHS). Large-scale finite-sum problems can be solved using efficient variants of Newton method,…

Machine Learning · Computer Science 2022-06-07 Ting-Jui Chang , Shahin Shahrampour

The multichannel rendezvous problem is a fundamental problem for neighbor discovery in many IoT applications. The existing works in the literature focus mostly on improving the worst-case performance, and the average-case performance is…

Networking and Internet Architecture · Computer Science 2022-11-14 Guann-Yng Jiang , Cheng-Shang Chang

With the emergence of passive and active optical sensors available for geospatial imaging, information fusion across sensors is becoming ever more important. An important aspect of single (or multiple) sensor geospatial image analysis is…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Saurabh Prasad , Minshan Cui , Lifeng Yan

Kernel methods approximate nonlinear maps in a data-driven manner by projecting the target map onto a finite-dimensional Hilbert space called the solution space. Traditionally, this space is a subspace of a fixed ambient reproducing kernel…

Numerical Analysis · Mathematics 2026-01-30 Tamás Dózsa , Andrea Angino , Zoltán Szabó , József Bokor , Matthias Voigt

Symbolic regression (SR) searches for parametric models that accurately fit a dataset, prioritizing simplicity and interpretability. Despite this secondary objective, studies point out that the models are often overly complex due to…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Guilherme Seidyo Imai Aldeia , Fabricio Olivetti de Franca , William G. La Cava

Recently, supervised hashing methods have attracted much attention since they can optimize retrieval speed and storage cost while preserving semantic information. Because hashing codes learning is NP-hard, many methods resort to some form…

Machine Learning · Computer Science 2017-12-05 Zihao Hu , Xiyi Luo , Hongtao Lu , Yong Yu

We introduce a new method for neighbourhood selection in linear structural equation models that improves over classical methods such as best subset selection (BSS) and the Lasso. Our method, called KL-BSS, takes advantage of the existence…

Statistics Theory · Mathematics 2025-10-07 Ming Gao , Wai Ming Tai , Bryon Aragam

Reproducing kernel Hilbert spaces (RKHSs) are key elements of many non-parametric tools successfully used in signal processing, statistics, and machine learning. In this work, we aim to address three issues of the classical RKHS based…

Signal Processing · Electrical Eng. & Systems 2019-05-09 Maria Peifer , Luiz. F. O. Chamon , Santiago Paternain , Alejandro Ribeiro

Supervised hashing methods are widely-used for nearest neighbor search in computer vision applications. Most state-of-the-art supervised hashing approaches employ batch-learners. Unfortunately, batch-learning strategies can be inefficient…

Computer Vision and Pattern Recognition · Computer Science 2015-11-11 Fatih Cakir , Sarah Adel Bargal , Stan Sclaroff

Hash coding has been widely used in the approximate nearest neighbor search for large-scale image retrieval. Recently, many deep hashing methods have been proposed and shown largely improved performance over traditional…

Computer Vision and Pattern Recognition · Computer Science 2019-10-18 Zheng Zhang , Qin Zou , Yuewei Lin , Long Chen , Song Wang

We present a GPU-based Locality Sensitive Hashing (LSH) algorithm to speed up beam search for sequence models. We utilize the winner-take-all (WTA) hash, which is based on relative ranking order of hidden dimensions and thus resilient to…

Computation and Language · Computer Science 2018-06-05 Xing Shi , Shizhen Xu , Kevin Knight
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