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Kernel ridge regression (KRR) is a foundational tool in machine learning, with recent work emphasizing its connections to neural networks. However, existing theory primarily addresses the i.i.d. setting, while real-world data often exhibits…

Machine Learning · Statistics 2025-10-20 Dechen Zhang , Zhenmei Shi , Yi Zhang , Yingyu Liang , Difan Zou

The sampling of sound fields involves the measurement of spatially dependent room impulse responses, where the Nyquist-Shannon sampling theorem applies in both the temporal and spatial domain. Therefore, sampling inside a volume of interest…

Sound · Computer Science 2016-09-30 Fabrice Katzberg , Radoslaw Mazur , Marco Maass , Philipp Koch , Alfred Mertins

This paper investigates the application of machine learning regression algorithms Kernel Ridge Regression (KRR), Huber Regressor (HR), and Gaussian Process Regression (GPR) for predicting sound power levels of gensets, offering significant…

Applied Physics · Physics 2025-05-27 Saurabh Pargal , Abhijit A. Sane

Sound field reconstruction (SFR) augments the information of a sound field captured by a microphone array. Conventional SFR methods using basis function decomposition are straightforward and computationally efficient, but may require more…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-15 Fei Ma , Sipei Zhao , Ian S. Burnett

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

Accurately representing the sound field with the high spatial resolution is critical for immersive and interactive sound field reproduction technology. To minimize experimental effort, data-driven methods have been proposed to estimate…

Audio and Speech Processing · Electrical Eng. & Systems 2023-11-10 Zining Liang , Wen Zhang , Thushara D. Abhayapala

Kernel ridge regression (KRR) is widely used for nonparametric regression over reproducing kernel Hilbert spaces. It offers powerful modeling capabilities at the cost of significant computational costs, which typically require $O(n^3)$…

Methodology · Statistics 2024-03-18 Xiaowu Dai , Huiying Zhong

Random feature (RF) has been widely used for node consistency in decentralized kernel ridge regression (KRR). Currently, the consistency is guaranteed by imposing constraints on coefficients of features, necessitating that the random…

Machine Learning · Computer Science 2024-09-23 Ruikai Yang , Fan He , Mingzhen He , Jie Yang , Xiaolin Huang

A structure-preserving kernel ridge regression method is presented that allows the recovery of nonlinear Hamiltonian functions out of datasets made of noisy observations of Hamiltonian vector fields. The method proposes a closed-form…

Machine Learning · Statistics 2025-04-07 Jianyu Hu , Juan-Pablo Ortega , Daiying Yin

The random feature (RF) approach is a well-established and efficient tool for scalable kernel methods, but existing literature has primarily focused on kernel ridge regression with random features (KRR-RF), which has limitations in handling…

Machine Learning · Statistics 2025-03-18 Caixing Wang , Xingdong Feng

The estimation of room impulse responses (RIRs) between static loudspeaker and microphone locations can be done using a number of well-established measurement and inference procedures. While these procedures assume a time-invariant acoustic…

Audio and Speech Processing · Electrical Eng. & Systems 2024-11-14 Kathleen MacWilliam , Thomas Dietzen , Randall Ali , Toon van Waterschoot

This paper proposes an audio fingerprinting model with holographic reduced representation (HRR). The proposed method reduces the number of stored fingerprints, whereas conventional neural audio fingerprinting requires many fingerprints for…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-21 Yusuke Fujita , Tatsuya Komatsu

In many multi-microphone algorithms, an estimate of the relative transfer functions (RTFs) of the desired speaker is required. Recently, a computationally efficient RTF vector estimation method was proposed for acoustic sensor networks,…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-07 Wiebke Middelberg , Simon Doclo

The kernel ridge regression (KRR) method with Gaussian kernel is used to improve the description of the nuclear charge radius by several phenomenological formulae. The widely used $A^{1/3}$, $N^{1/3}$ and $Z^{1/3}$ formulae, and their…

Nuclear Theory · Physics 2022-07-13 Jian-Qin Ma , Zhen-Hua Zhang

This paper proposes an efficient method based on the steered-response power (SRP) technique for sound source localization using microphone arrays: the volumetric SRP (V-SRP). As compared to the SRP, by deploying a sparser volumetric grid,…

Reconstructing the room transfer functions needed to calculate the complex sound field in a room has several important real-world applications. However, an unpractical number of microphones is often required. Recently, in addition to…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-12 Francesca Ronchini , Luca Comanducci , Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

A method for estimation of direct-to-reverberant ratio (DRR) using a microphone array is proposed. The proposed method estimates the power spectral density (PSD) of the direct sound and the reverberation using the algorithm \textit{PSD…

Sound · Computer Science 2015-11-02 Yusuke Hioka , Kenta Niwa

Sound field reproduction methods based on numerical optimization, which aim to minimize the error between synthesized and desired sound fields, are useful in many practical scenarios because of their flexibility in the array geometry of…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-23 Shoichi Koyama , Keisuke Kimura , Natsuki Ueno

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

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