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An extension of reproducing kernel Hilbert space (RKHS) theory provides a new framework for modeling functional regression models with functional responses. The approach only presumes a general nonlinear regression structure as opposed to…

统计理论 · 数学 2008-12-17 Heng Lian

Multi-class classification problems are fundamental in many varied domains in research and industry. To solve multi-class classification problems, heuristic strategies such as One-vs-One or One-vs-All can be employed. However, these…

量子物理 · 物理学 2024-02-06 S M Pillay , I Sinayskiy , E Jembere , F Petruccione

Learning linear combinations of multiple kernels is an appealing strategy when the right choice of features is unknown. Previous approaches to multiple kernel learning (MKL) promote sparse kernel combinations to support interpretability and…

机器学习 · 计算机科学 2010-10-28 Marius Kloft , Ulf Brefeld , Soeren Sonnenburg , Alexander Zien

This paper considers the problem of kernel regression and classification with possibly unobservable response variables in the data, where the mechanism that causes the absence of information is unknown and can depend on both predictors and…

统计理论 · 数学 2022-12-07 Majid Mojirsheibani , William Pouliot , Andre Shakhbandaryan

We are interested in mesh-free formulas based on the Monte-Carlo methodology for the approximation of multi-dimensional integrals, and we investigate their accuracy when the functions belong to a reproducing-kernel space. A kernel typically…

偏微分方程分析 · 数学 2020-08-26 Philippe G. LeFloch , Jean-Marc Mercier

Opportunistic spectrum access is one of the emerging techniques for maximizing throughput in congested bands and is enabled by predicting idle slots in spectrum. We propose a kernel-based reinforcement learning approach coupled with a novel…

信息论 · 计算机科学 2018-06-22 Theodoros Tsiligkaridis , David Romero

We propose a novel adaptive learning algorithm based on iterative orthogonal projections in the Cartesian product of multiple reproducing kernel Hilbert spaces (RKHSs). The task is estimating/tracking nonlinear functions which are supposed…

机器学习 · 计算机科学 2015-10-28 Masahiro Yukawa

We consider the problem of metric learning for multi-view data and present a novel method for learning within-view as well as between-view metrics in vector-valued kernel spaces, as a way to capture multi-modal structure of the data. We…

机器学习 · 计算机科学 2018-03-22 Riikka Huusari , Hachem Kadri , Cécile Capponi

In this article we construct a maximal set of kernels for a multi-parameter linear scale-space that allow us to construct trees for classification and recognition of one-dimensional continuous signals similar the Gaussian linear scale-space…

统计理论 · 数学 2023-05-24 Leon A. Luxemburg , Steven B. Damelin

Learning from structured multi-way data, represented as higher-order tensors, requires capturing complex interactions across tensor modes while remaining computationally efficient. We introduce Uncertainty-driven Kernel Tensor Learning…

机器学习 · 计算机科学 2026-03-23 Lei Wang , Xi Ding , Yongsheng Gao , Piotr Koniusz

We study task selection to enhance sample efficiency in model-agnostic meta-reinforcement learning (MAML-RL). Traditional meta-RL typically assumes that all available tasks are equally important, which can lead to task redundancy when they…

最优化与控制 · 数学 2025-04-15 Donglin Zhan , Leonardo F. Toso , James Anderson

Heterogeneous multi-task learning (HMTL) is an important topic in multi-task learning (MTL). Most existing HMTL methods usually solve either scenario where all tasks reside in the same input (feature) space yet unnecessarily the consistent…

机器学习 · 计算机科学 2021-02-01 Quan Feng , Songcan Chen

In this work, we address optimization problems where the objective function is a nonlinear function of an expected value, i.e., compositional stochastic {strongly convex programs}. We consider the case where the decision variable is not…

最优化与控制 · 数学 2020-11-30 Amrit Singh Bedi , Alec Koppel , Ketan Rajawat , Panchajanya Sanyal

The Receptive Field (RF) size has been one of the most important factors for One Dimensional Convolutional Neural Networks (1D-CNNs) on time series classification tasks. Large efforts have been taken to choose the appropriate size because…

机器学习 · 计算机科学 2022-06-20 Wensi Tang , Guodong Long , Lu Liu , Tianyi Zhou , Michael Blumenstein , Jing Jiang

The One-versus-One (OvO) strategy is an approach of multi-classification models which focuses on training binary classifiers between each pair of classes. While the OvO strategy takes advantage of balanced training data, the classification…

机器学习 · 计算机科学 2023-06-19 Anthony Hei-Long Chan , Raymond HonFu Chan , Lingjia Dai

Asymmetric kernels naturally exist in real life, e.g., for conditional probability and directed graphs. However, most of the existing kernel-based learning methods require kernels to be symmetric, which prevents the use of asymmetric…

机器学习 · 计算机科学 2022-02-04 Mingzhen He , Fan He , Lei Shi , Xiaolin Huang , Johan A. K. Suykens

Humans can learn incrementally, whereas neural networks forget previously acquired information catastrophically. Continual Learning (CL) approaches seek to bridge this gap by facilitating the transfer of knowledge to both previous tasks…

Spectral clustering has found extensive use in many areas. Most traditional spectral clustering algorithms work in three separate steps: similarity graph construction; continuous labels learning; discretizing the learned labels by k-means…

机器学习 · 计算机科学 2017-11-15 Zhao Kang , Chong Peng , Qiang Cheng , Zenglin Xu

Training automatic speech recognition (ASR) systems requires large amounts of well-curated paired data. However, human annotators usually perform "non-verbatim" transcription, which can result in poorly trained models. In this paper, we…

音频与语音处理 · 电气工程与系统科学 2023-09-28 Dongji Gao , Hainan Xu , Desh Raj , Leibny Paola Garcia Perera , Daniel Povey , Sanjeev Khudanpur

This paper introduces Generalized Nonnegative Structured Kruskal Tensor Regression (NS-KTR), a novel tensor regression framework that enhances interpretability and performance through mode-specific hybrid regularization and nonnegativity…

信号处理 · 电气工程与系统科学 2025-09-25 Xinjue Wang , Esa Ollila , Sergiy A. Vorobyov , Ammar Mian