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Two-dimensional singular decomposition (2DSVD) has been widely used for image processing tasks, such as image reconstruction, classification, and clustering. However, traditional 2DSVD algorithm is based on the mean square error (MSE) loss,…

计算机视觉与模式识别 · 计算机科学 2020-07-07 Miaohua Zhang , Yongsheng Gao

The application of kernel-based Machine Learning (ML) techniques to discrete choice modelling using large datasets often faces challenges due to memory requirements and the considerable number of parameters involved in these models. This…

Kernel-based models such as kernel ridge regression and Gaussian processes are ubiquitous in machine learning applications for regression and optimization. It is well known that a major downside for kernel-based models is the high…

机器学习 · 计算机科学 2022-06-22 Sattar Vakili , Jonathan Scarlett , Da-shan Shiu , Alberto Bernacchia

With the improvement in the quantity and quality of remote sensing images, content-based remote sensing object retrieval (CBRSOR) has become an increasingly important topic. However, existing CBRSOR methods neglect the utilization of global…

计算机视觉与模式识别 · 计算机科学 2024-10-10 Linping Zhang , Yu Liu , Xueqian Wang , Gang Li , You He

We study risk-sensitive reinforcement learning (RL), a crucial field due to its ability to enhance decision-making in scenarios where it is essential to manage uncertainty and minimize potential adverse outcomes. Particularly, our work…

机器学习 · 计算机科学 2024-07-11 Dake Zhang , Boxiang Lyu , Shuang Qiu , Mladen Kolar , Tong Zhang

Adaptive stretching, where the post compression signal is iteratively stretched to maximize the correlation between the pre and post compression rf echo frames, has demonstrated superior performance compared to gradient based methods. At…

组织与器官 · 定量生物学 2022-10-25 Shaiban Ahmed , Rasheed Abid , S. Kaisar Alam

This article presents a quantum computing approach to designing of similarity measures and kernels for classification of stochastic symbolic time series. In the area of machine learning, kernels are important components of various…

量子物理 · 物理学 2025-06-10 Vanio Markov , Vladimir Rastunkov , Daniel Fry

We present a computationally efficient online kernel Cumulative Sum (CUSUM) method for change-point detection that utilizes the maximum over a set of kernel statistics to account for the unknown change-point location. Our approach exhibits…

统计方法学 · 统计学 2026-01-07 Song Wei , Yao Xie

Regression tasks, notably in safety-critical domains, require proper uncertainty quantification, yet the literature remains largely classification-focused. In this light, we introduce a family of measures for total, aleatoric, and epistemic…

机器学习 · 计算机科学 2025-10-30 Christopher Bülte , Yusuf Sale , Gitta Kutyniok , Eyke Hüllermeier

We propose a new decentralized robust kernel-based learning algorithm within the framework of reproducing kernel Hilbert spaces (RKHSs) by utilizing a networked system that can be represented as a connected graph. The robust loss function…

机器学习 · 计算机科学 2025-08-18 Zhan Yu , Zhongjie Shi , Ding-Xuan Zhou

Multivariate conformal prediction requires nonconformity scores that compress residual vectors into scalars while preserving certain implicit geometric structure of the residual distribution. We introduce a Multivariate Kernel Score (MKS)…

机器学习 · 统计学 2026-04-24 Louis Meyer , Wenkai Xu

Kernel based methods including Gaussian process regression (GPR) and generally kernel ridge regression (KRR) have been finding increasing use in computational chemistry, including the fitting of potential energy surfaces and density…

机器学习 · 统计学 2023-01-27 Sergei Manzhos , Manabu Ihara

Kernel-based nonparametric hazard rate estimation is considered with a special class of infinite-order kernels that achieves favorable bias and mean square error properties. A fully automatic and adaptive implementation of a density and…

统计理论 · 数学 2018-10-17 Arthur Berg , Dimitris N Politis , Kagba Suaray , Hui Zeng

Use of nonlinear feature maps via kernel approximation has led to success in many online learning tasks. As a popular kernel approximation method, Nystr\"{o}m approximation, has been well investigated, and various landmark points selection…

机器学习 · 计算机科学 2018-02-26 Si Si , Sanjiv Kumar , Yang Li

Similarity metrics such as representational similarity analysis (RSA) and centered kernel alignment (CKA) have been used to compare layer-wise representations between neural networks. However, these metrics are confounded by the population…

机器学习 · 统计学 2022-02-02 Tianyu Cui , Yogesh Kumar , Pekka Marttinen , Samuel Kaski

Risk-sensitive reinforcement learning (RL) is crucial for maintaining reliable performance in high-stakes applications. While traditional RL methods aim to learn a point estimate of the random cumulative cost, distributional RL (DRL) seeks…

机器学习 · 计算机科学 2025-02-03 Minheng Xiao , Xian Yu , Lei Ying

Kernel Adaptive Filtering (KAF) are mathematically principled methods which search for a function in a Reproducing Kernel Hilbert Space. While they work well for tasks such as time series prediction and system identification they are…

机器学习 · 计算机科学 2023-12-20 Benjamin Colburn , Jose C. Principe , Luis G. Sanchez Giraldo

Error entropy is a important nonlinear similarity measure, and it has received increasing attention in many practical applications. The default kernel function of error entropy criterion is Gaussian kernel function, however, which is not…

信号处理 · 电气工程与系统科学 2023-09-06 Jiacheng He , Gang Wang , Bei Peng , Zhenyu Feng , Kun Zhang

This paper introduces algorithms to select/design kernels in Gaussian process regression/kriging surrogate modeling techniques. We adopt the setting of kernel method solutions in ad hoc functional spaces, namely Reproducing Kernel Hilbert…

机器学习 · 统计学 2022-09-07 Jean-Luc Akian , Luc Bonnet , Houman Owhadi , Éric Savin

Kernel methods are applied to many problems in pattern recognition, including subspace clustering (SC). That way, nonlinear problems in the input data space become linear in mapped high-dimensional feature space. Thereby, computationally…

机器学习 · 计算机科学 2024-01-31 Ivica Kopriva