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Motivated by applications, we consider here new operator theoretic approaches to Conditional mean embeddings (CME). Our present results combine a spectral analysis-based optimization scheme with the use of kernels, stochastic processes, and…

Machine Learning · Computer Science 2023-05-16 Palle E. T. Jorgensen , Myung-Sin Song , James Tian

Learning convolution kernels in operators from data arises in numerous applications and represents an ill-posed inverse problem of broad interest. With scant prior information, kernel methods offer a natural nonparametric approach with…

Numerical Analysis · Mathematics 2025-07-17 Haibo Li , Fei Lu

Nowadays, with the rising number of sensors in sectors such as healthcare and industry, the problem of multivariate time series classification (MTSC) is getting increasingly relevant and is a prime target for machine and deep learning…

Machine Learning · Computer Science 2022-04-12 Leonardos Pantiskas , Kees Verstoep , Mark Hoogendoorn , Henri Bal

Kernel method has been developed as one of the standard approaches for nonlinear learning, which however, does not scale to large data set due to its quadratic complexity in the number of samples. A number of kernel approximation methods…

Machine Learning · Computer Science 2018-09-20 Lingfei Wu , Ian E. H. Yen , Jie Chen , Rui Yan

Channel pruning is widely accepted to accelerate modern convolutional neural networks (CNNs). The resulting pruned model benefits from its immediate deployment on general-purpose software and hardware resources. However, its large pruning…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 Mincheol Park , Dongjin Kim , Cheonjun Park , Yuna Park , Gyeong Eun Gong , Won Woo Ro , Suhyun Kim

Machine-learning models consist of kernels, which are algorithms applying operations on tensors -- data indexed by a linear combination of natural numbers. Examples of kernels include convolutions, transpositions, and vectorial products.…

Machine Learning · Computer Science 2024-07-16 Michael Canesche , Gaurav Verma , Fernando Magno Quintao Pereira

The accuracy and complexity of machine learning algorithms based on kernel optimization are determined by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

Machine Learning · Statistics 2024-10-30 Aleksandr Talitckii , Brendon K. Colbert , Matthew M. Peet

Recently, various convolutions based on continuous or discrete kernels for point cloud processing have been widely studied, and achieve impressive performance in many applications, such as shape classification, scene segmentation and so on.…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Dengsheng Chen , Haowen Deng , Jun Li , Duo Li , Yao Duan , Kai Xu

Kernel methods provide a flexible and theoretically grounded approach to nonlinear and nonparametric learning. While memory and run-time requirements hinder their applicability to large datasets, many low-rank kernel approximations, such as…

Machine Learning · Statistics 2024-04-15 Mateus P. Otto , Rafael Izbicki

The transcriptomics of cancer tumors are characterized with tens of thousands of gene expression features. Patient prognosis or tumor stage can be assessed by machine learning techniques like supervised classification tasks given a gene…

Machine Learning · Computer Science 2020-04-13 Martin Palazzo , Patricio Yankilevich , Pierre Beauseroy

Time series data, spanning applications ranging from climatology to finance to healthcare, presents significant challenges in data mining due to its size and complexity. One open issue lies in time series clustering, which is crucial for…

Machine Learning · Computer Science 2023-07-07 Jorge Marco-Blanco , Rubén Cuevas

Deep Convolutional Neural Networks (CNNs) are widely employed in modern computer vision algorithms, where the input image is convolved iteratively by many kernels to extract the knowledge behind it. However, with the depth of convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-04-11 Chih-Ting Liu , Yi-Heng Wu , Yu-Sheng Lin , Shao-Yi Chien

Polynomial kernel regression is one of the standard and state-of-the-art learning strategies. However, as is well known, the choices of the degree of polynomial kernel and the regularization parameter are still open in the realm of model…

Machine Learning · Computer Science 2023-06-14 Shaobo Lin , Xingping Sun , Zongben Xu , Jinshan Zeng

A novel kernel-based support vector machine (SVM) for graph classification is proposed. The SVM feature space mapping consists of a sequence of graph convolutional layers, which generates a vector space representation for each vertex,…

Machine Learning · Computer Science 2020-08-05 Padraig Corcoran

We demonstrate a simple connection between dictionary methods for time series classification, which involve extracting and counting symbolic patterns in time series, and methods based on transforming input time series using convolutional…

Machine Learning · Computer Science 2022-03-28 Angus Dempster , Daniel F. Schmidt , Geoffrey I. Webb

As deep neural networks are increasingly used in applications suited for low-power devices, a fundamental dilemma becomes apparent: the trend is to grow models to absorb increasing data that gives rise to memory intensive; however low-power…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Weiyu Guo , Jiabin Ma , Liang Wang , Yongzhen Huang

Distributed machine learning systems have been receiving increasing attentions for their efficiency to process large scale data. Many distributed frameworks have been proposed for different machine learning tasks. In this paper, we study…

Machine Learning · Computer Science 2020-07-01 Hongwei Sun , Qiang Wu

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Support Vector Machines (SVMs) are powerful learners that have led to state-of-the-art results in various computer vision problems. SVMs suffer from various drawbacks in terms of selecting the right kernel, which depends on the image…

Computer Vision and Pattern Recognition · Computer Science 2014-03-31 Gemma Roig , Xavier Boix , Luc Van Gool

Kernel pruning methods have been proposed to speed up, simplify, and improve explanation of convolutional neural network (CNN) models. However, the effectiveness of a simplified model is often below the original one. In this letter, we…

Machine Learning · Computer Science 2021-08-19 D. Osaku , J. F. Gomes , A. X. Falcão