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Kernel ridge regression (KRR) is a widely used nonparametric method due to its strong theoretical guarantees and computational convenience. However, standard KRR does not distinguish between linear and nonlinear components in the signal,…

Statistics Theory · Mathematics 2026-05-13 Xin Bing , Chao Wang

We consider the two-group classification problem and propose a kernel classifier based on the optimal scoring framework. Unlike previous approaches, we provide theoretical guarantees on the expected risk consistency of the method. We also…

Machine Learning · Statistics 2021-04-01 Alexander F. Lapanowski , Irina Gaynanova

The choice of the kernel is critical to the success of many learning algorithms but it is typically left to the user. Instead, the training data can be used to learn the kernel by selecting it out of a given family, such as that of…

Machine Learning · Computer Science 2012-05-14 Corinna Cortes , Mehryar Mohri , Afshin Rostamizadeh

A spectral mixture (SM) kernel is a flexible kernel used to model any stationary covariance function. Although it is useful in modeling data, the learning of the SM kernel is generally difficult because optimizing a large number of…

Machine Learning · Statistics 2020-06-15 Yohan Jung , Kyungwoo Song , Jinkyoo Park

Feature representations derived from models pre-trained on large-scale datasets have shown their generalizability on a variety of audio analysis tasks. Despite this generalizability, however, task-specific features can outperform if…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-13 Yun-Ning Hung , Alexander Lerch

This work proposed kernel selection approaches for probabilistic classifiers based on features produced by the convolutional encoder of a variational autoencoder. Particularly, the developed methodologies allow the selection of the most…

Machine Learning · Computer Science 2025-08-05 Fábio Mendonça , Sheikh Shanawaz Mostafa , Fernando Morgado-Dias , Antonio G. Ravelo-García

In this paper, we analyze the spatial information of deep features, and propose two complementary regressions for robust visual tracking. First, we propose a kernelized ridge regression model wherein the kernel value is defined as the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Chong Sun , Dong Wang , Huchuan Lu , Ming-Hsuan Yang

Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian…

Optimization and Control · Mathematics 2017-03-16 Mattia Zorzi , Alessandro Chiuso

Inverse medium scattering problems arise in many applications, but in practice, the measurement data are often restricted to a limited aperture by physical or experimental constraints. Classical sampling methods, such as MUSIC and the…

Numerical Analysis · Mathematics 2025-09-19 Fuqun Han , Kazufumi Ito

We study the learning properties of nonparametric ridge-less least squares. In particular, we consider the common case of estimators defined by scale dependent kernels, and focus on the role of the scale. These estimators interpolate the…

Machine Learning · Statistics 2021-11-11 Nicolò Pagliana , Alessandro Rudi , Ernesto De Vito , Lorenzo Rosasco

The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression models such as feature regression and kernel regression and…

Machine Learning · Computer Science 2022-03-14 Björn Engquist , Kui Ren , Yunan Yang

Kernel logistic regression (KLR) is a powerful classification method widely applied across diverse domains. In many real-world scenarios, indefinite kernels capture more domain-specific structural information than positive definite kernels.…

Machine Learning · Statistics 2025-10-31 Shaoxin Wang , Hanjing Yao

Machine learning (ML) entered the field of computational micromagnetics only recently. The main objective of these new approaches is the automatization of solutions of parameter-dependent problems in micromagnetism such as fast response…

Computational Physics · Physics 2021-07-15 Sebastian Schaffer , Norbert J. Mauser , Thomas Schrefl , Dieter Suess , Lukas Exl

Nonparametric estimation of copula density functions using kernel estimators presents significant challenges. One issue is the potential unboundedness of certain copula density functions at the corners of the unit square. Another is the…

Methodology · Statistics 2025-02-11 Mathias N. Muia , Olivia Atutey , Mahmud Hasan

Kernels are often developed and used as implicit mapping functions that show impressive predictive power due to their high-dimensional feature space representations. In this study, we gradually construct a series of simple feature maps that…

Machine Learning · Computer Science 2020-07-20 Gurhan Ceylan , S. Ilker Birbil

We consider the problem of learning regression functions from pairwise data when there exists prior knowledge that the relation to be learned is symmetric or anti-symmetric. Such prior knowledge is commonly enforced by symmetrizing or…

Machine Learning · Computer Science 2015-06-22 Tapio Pahikkala , Markus Viljanen , Antti Airola , Willem Waegeman

The spatial information of sound plays a crucial role in various situations, ranging from daily activities to advanced engineering technologies. To fully utilize its potential, numerous research studies on spatial audio signal processing…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-14 Natsuki Ueno , Shoichi Koyama

Multiple kernel learning (MKL) algorithms combine different base kernels to obtain a more efficient representation in the feature space. Focusing on discriminative tasks, MKL has been used successfully for feature selection and finding the…

Machine Learning · Computer Science 2019-03-14 Babak Hosseini , Barbara Hammer

We propose a method for the approximation of high- or even infinite-dimensional feature vectors, which play an important role in supervised learning. The goal is to reduce the size of the training data, resulting in lower storage…

Machine Learning · Statistics 2021-04-06 Patrick Gelß , Stefan Klus , Ingmar Schuster , Christof Schütte

Determining the head orientation of a talker is not only beneficial for various speech signal processing applications, such as source localization or speech enhancement, but also facilitates intuitive voice control and interaction with…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-10 Kaspar Müller , Bilgesu Çakmak , Paul Didier , Simon Doclo , Jan Østergaard , Tobias Wolff