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We propose statistical inferential procedures for panel data models with interactive fixed effects in a kernel ridge regression framework.Compared with traditional sieve methods, our method is automatic in the sense that it does not require…

Statistics Theory · Mathematics 2017-03-10 Shunan Zhao , Ruiqi Liu , Zuofeng Shang

Random Fourier features is one of the most popular techniques for scaling up kernel methods, such as kernel ridge regression. However, despite impressive empirical results, the statistical properties of random Fourier features are still not…

Machine Learning · Computer Science 2018-05-22 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

In this study, we introduce a method for estimating sound fields in reverberant environments using a conditional invertible neural network (CINN). Sound field reconstruction can be hindered by experimental errors, limited spatial data,…

Audio and Speech Processing · Electrical Eng. & Systems 2024-04-11 Xenofon Karakonstantis , Efren Fernandez-Grande , Peter Gerstoft

Scalable kernel methods, including kernel ridge regression, often rely on low-rank matrix approximations using the Nystrom method, which involves selecting landmark points from large data sets. The existing approaches to selecting landmarks…

Machine Learning · Computer Science 2020-09-22 Farhad Pourkamali-Anaraki , Mohammad Amin Hariri-Ardebili , Lydia Morawiec

The large amount of online data and vast array of computing resources enable current researchers in both industry and academia to employ the power of deep learning with neural networks. While deep models trained with massive amounts of data…

Machine Learning · Computer Science 2020-06-15 Shuai Tang , Virginia R. de Sa

We introduce ParK, a new large-scale solver for kernel ridge regression. Our approach combines partitioning with random projections and iterative optimization to reduce space and time complexity while provably maintaining the same…

Machine Learning · Statistics 2022-10-18 Luigi Carratino , Stefano Vigogna , Daniele Calandriello , Lorenzo Rosasco

Random forest regression is a powerful non-parametric method that adapts to local data characteristics through data-driven partitioning, making it effective across diverse application domains. However, the piecewise constant nature of…

Machine Learning · Computer Science 2026-05-19 Ziyi Liu , Phuc Luong , Mario Boley , Daniel F. Schmidt

In this paper, we discuss the problem of system identification when frequency domain side information is available on the system. Initially, we consider the case where the prior knowledge is provided as being the $\Hcal_{\infty}$-norm of…

Optimization and Control · Mathematics 2022-11-08 Mohammad Khosravi , Roy S. Smith

Kernel ridge regression, KRR, is a generalization of linear ridge regression that is non-linear in the data, but linear in the model parameters. Here, we introduce an equivalent formulation of the objective function of KRR, which opens up…

Machine Learning · Statistics 2025-03-10 Oskar Allerbo

This paper carries out a large dimensional analysis of a variation of kernel ridge regression that we call \emph{centered kernel ridge regression} (CKRR), also known in the literature as kernel ridge regression with offset. This modified…

Machine Learning · Statistics 2020-04-22 Khalil Elkhalil , Abla Kammoun , Xiangliang Zhang , Mohamed-Slim Alouini , Tareq Al-Naffouri

In this article, we introduce a kernel-based consensual aggregation method for regression problems. We aim to exibly combine individual regression estimators $r_1, \ldots, r_M$ using a weighted average where the weights are dened based on…

Statistics Theory · Mathematics 2023-10-03 Sothea Has

Prediction of dynamical time series with additive noise using support vector machines or kernel based regression has been proved to be consistent for certain classes of discrete dynamical systems. Consistency implies that these methods are…

Machine Learning · Statistics 2018-06-21 Raymundo Navarrete , Divakar Viswanath

We study the problem of estimating the effect function for a continuous treatment, which maps each treatment value to a population-averaged outcome. A central challenge in this setting is confounding: treatment assignment often depends on…

Methodology · Statistics 2026-05-29 Seok-Jin Kim , Kaizheng Wang

In this paper, we propose a random projection approach to estimate variance in kernel ridge regression. Our approach leads to a consistent estimator of the true variance, while being computationally more efficient. Our variance estimator is…

Statistics Theory · Mathematics 2018-09-18 Meimei Liu , Jean Honorio , Guang Cheng

Time-frequency analysis is often used to study non stationary multicomponent signals, which can be viewed as the surperimposition of modes, associated with ridges in the TF plane. To understand such signals, it is essential to identify…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Nils Laurent , Sylvain Meignen

The capture and reproduction of spatial audio is becoming increasingly popular, with the mushrooming of applications in teleconferencing, entertainment and virtual reality. Many binaural reproduction methods have been developed and studied…

Audio and Speech Processing · Electrical Eng. & Systems 2023-11-27 Ami Berger , Vladimir Tourbabin , Jacob Donley , Zamir Ben-Hur , Boaz Rafaely

In this article, we introduce a kernel-based consensual aggregation method for regression problems. We aim to flexibly combine individual regression estimators $r_1, r_2, \ldots, r_M$ using a weighted average where the weights are defined…

Methodology · Statistics 2021-04-29 Sothea Has

In this paper we estimate the dynamic parameters of a time-varying coefficient model through radial kernel functions in the context of a longitudinal study. Our proposal is based on a linear combination of weighted kernel functions…

Methodology · Statistics 2021-03-02 Juan Sosa , Lina Buitrago

Ensuring performance robustness for a variety of situations that can occur in real-world environments is one of the challenging tasks in sound event classification. One of the unpredictable and detrimental factors in performance, especially…

Sound · Computer Science 2021-04-22 Jaejun Lee , Donmoon Lee , Hyeong-Seok Choi , Kyogu Lee

This study proposes a framework for incorporating wavenumber-domain acoustic reflection coefficients into sound field analysis to characterize direction-dependent material reflection and scattering phenomena. The reflection coefficient is…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-13 Satoshi Hoshika , Takahiro Iwami , Akira Omoto