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An $\varepsilon$-coreset for a given set $D$ of $n$ points, is usually a small weighted set, such that querying the coreset \emph{provably} yields a $(1+\varepsilon)$-factor approximation to the original (full) dataset, for a given family…

Machine Learning · Computer Science 2019-06-13 Dan Feldman , Zahi Kfir , Xuan Wu

In this paper, we first demonstrate that b-bit minwise hashing, whose estimators are positive definite kernels, can be naturally integrated with learning algorithms such as SVM and logistic regression. We adopt a simple scheme to transform…

Machine Learning · Statistics 2011-06-07 Ping Li , Anshumali Shrivastava , Joshua Moore , Arnd Christian Konig

We present a deep Graph Convolutional Kernel Machine (GCKM) for semi-supervised node classification in graphs. The method is built of two main types of blocks: (i) We introduce unsupervised kernel machine layers propagating the node…

Machine Learning · Computer Science 2024-04-16 Sonny Achten , Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Kernel normalization methods have been employed to improve robustness of optimization methods to reparametrization of convolution kernels, covariate shift, and to accelerate training of Convolutional Neural Networks (CNNs). However, our…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Mete Ozay , Takayuki Okatani

In Computer Vision, problem of identifying or classifying the objects present in an image is called Object Categorization. It is a challenging problem, especially when the images have clutter background, occlusions or different lighting…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Jyothi Korra

Superpixel segmentation algorithms are to partition an image into perceptually coherence atomic regions by assigning every pixel a superpixel label. Those algorithms have been wildly used as a preprocessing step in computer vision works, as…

Computer Vision and Pattern Recognition · Computer Science 2017-02-22 Zhihua Ban , Jianguo Liu , Li Cao

Diffusion maps are a commonly used kernel-based method for manifold learning, which can reveal intrinsic structures in data and embed them in low dimensions. However, as with most kernel methods, its implementation requires a heavy…

Machine Learning · Computer Science 2019-12-03 Scott Gigante , Jay S. Stanley , Ngan Vu , David van Dijk , Kevin Moon , Guy Wolf , Smita Krishnaswamy

Graph Contrastive Learning (GCL) has emerged as a powerful paradigm for training Graph Neural Networks (GNNs) in the absence of task-specific labels. However, its scalability on large-scale graphs is hindered by the intensive message…

Machine Learning · Computer Science 2025-11-12 Xiang Chen , Kun Yue , Wenjie Liu , Zhenyu Zhang , Liang Duan

Kernel survival analysis models estimate individual survival distributions with the help of a kernel function, which measures the similarity between any two data points. Such a kernel function can be learned using deep kernel survival…

Machine Learning · Computer Science 2025-02-18 George H. Chen

Many signal processing and machine learning applications are built from evaluating a kernel on pairs of signals, e.g. to assess the similarity of an incoming query to a database of known signals. This nonlinear evaluation can be simplified…

Signal Processing · Electrical Eng. & Systems 2021-03-16 Vincent Schellekens , Laurent Jacques

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Gaussian Radial Basis Function (RBF) Kernels are the most-often-employed kernels in artificial intelligence and machine learning routines for providing optimally-best results in contrast to their respective counter-parts. However, a little…

Machine Learning · Computer Science 2023-12-19 Himanshu Singh

The use of kernels for nonlinear prediction is widespread in machine learning. They have been popularized in support vector machines and used in kernel ridge regression, amongst others. Kernel methods share three aspects. First, instead of…

Machine Learning · Statistics 2025-08-25 Patrick J. F. Groenen , Michael Greenacre

Computer vision models excel at making predictions when the test distribution closely resembles the training distribution. Such models have yet to match the ability of biological vision to learn from multiple sources and generalize to new…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Tanmay Gupta , Ryan Marten , Aniruddha Kembhavi , Derek Hoiem

Gaussian processes (GPs) provide flexible distributions over functions, with inductive biases controlled by a kernel. However, in many applications Gaussian processes can struggle with even moderate input dimensionality. Learning a low…

Machine Learning · Computer Science 2020-01-01 Ian A. Delbridge , David S. Bindel , Andrew Gordon Wilson

Adaptive filtering algorithms operating in reproducing kernel Hilbert spaces have demonstrated superiority over their linear counterpart for nonlinear system identification. Unfortunately, an undesirable characteristic of these methods is…

Machine Learning · Statistics 2013-06-25 Wei Gao , Jie Chen , Cédric Richard , Jianguo Huang

In the last decade, recent successes in deep clustering majorly involved the Mutual Information (MI) as an unsupervised objective for training neural networks with increasing regularisations. While the quality of the regularisations have…

We establish optimal convergence rates for a decomposition-based scalable approach to kernel ridge regression. The method is simple to describe: it randomly partitions a dataset of size N into m subsets of equal size, computes an…

Statistics Theory · Mathematics 2014-05-01 Yuchen Zhang , John C. Duchi , Martin J. Wainwright

Convolutional Neural Networks (CNNs) have shown promising results in efficiency and accuracy in image classification. However, their efficacy often relies on large, labeled datasets, posing challenges for applications with limited data…

Machine Learning · Computer Science 2026-01-08 A. M. A. S. D. Alagiyawanna , Asoka Karunananda , A. Mahasinghe , Thushari Silva

Multivariate associated kernel estimators, which depend on both target point and bandwidth matrix, are appropriate for partially or totally bounded distributions and generalize the classical ones as Gaussian. Previous studies on…

Statistics Theory · Mathematics 2021-09-08 Célestin C. Kokonendji , Sobom M. Somé