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An interpolation method for region-to-region acoustic transfer functions (ATFs) based on kernel ridge regression with an adaptive kernel is proposed. Most current ATF interpolation methods do not incorporate the acoustic properties for…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Juliano G. C. Ribeiro , Shoichi Koyama , Hiroshi Saruwatari

We describe a sounding technique that allows us to improve spatial resolution of Irkutsk Incoherent Scatter Radar without loosing spectral resolution. The technique is based on transmitting of rectangle pulses of different duration in…

Space Physics · Physics 2015-03-19 Oleg I. Berngardt , Dmitry S. Kushnarev

In this paper, a deep-learning-based method for sound field reconstruction is proposed. It is shown the possibility to reconstruct the magnitude of the sound pressure in the frequency band 30-300 Hz for an entire room by using a very low…

Sound · Computer Science 2020-08-07 Francesc Lluís , Pablo Martínez-Nuevo , Martin Bo Møller , Sven Ewan Shepstone

We consider the problem of reconstructing a function from a finite set of noise-corrupted samples. Two kernel algorithms are analyzed, namely kernel ridge regression and $\varepsilon$-support vector regression. By assuming the ground-truth…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Emilio T. Maddalena , Paul Scharnhorst , Colin N. Jones

In this paper, we consider the inverse problem of recovering a sound soft scatterer from the measured scattered field. The scattered field is assumed to be induced by a point source on a curve/surface that is known. Here we will propose and…

Analysis of PDEs · Mathematics 2021-10-22 Isaac Harris

Kernel ridge regression is used to approximate the kinetic energy of non-interacting fermions in a one-dimensional box as a functional of their density. The properties of different kernels and methods of cross-validation are explored, and…

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

Non-conservative uncertainty bounds are key for both assessing an estimation algorithm's accuracy and in view of downstream tasks, such as its deployment in safety-critical contexts. In this paper, we derive a tight, non-asymptotic…

Machine Learning · Computer Science 2026-01-16 Amon Lahr , Johannes Köhler , Anna Scampicchio , Melanie N. Zeilinger

Spherical microphone arrays (SMAs) are widely used for sound field analysis, and sparse recovery (SR) techniques can significantly enhance their spatial resolution by modeling the sound field as a sparse superposition of dominant plane…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-05 Shunxi Xu , Craig T. Jin

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 use of kernels for nonlinear prediction is widespread in machine learning. They have been popularized in support vector machines and used in kernel ridge regression, amongst others. Kernel methods share three aspects. First, instead of…

Machine Learning · Statistics 2025-08-25 Patrick J. F. Groenen , Michael Greenacre

Traditional sound diffusers are quasi-random phase gratings attached to reflecting surfaces whose purpose is to augment the spatiotemporal incoherence of the acoustic field scattered from reflective surfaces. This configuration allows one…

Applied Physics · Physics 2022-11-23 Janghoon Kang , Michael R. Haberman

This paper presents a complete strategy for the geometry estimation of large microphone arrays of arbitrary shape. Largeness is intended here in both number of microphones (hundreds) and size (few meters). Such arrays can be used for…

Data Analysis, Statistics and Probability · Physics 2016-03-28 Charles Vanwynsberghe , Pascal Challande , Jacques Marchal , Régis Marchiano , François Ollivier

The existing research on spectral algorithms, applied within a Reproducing Kernel Hilbert Space (RKHS), has primarily focused on general kernel functions, often neglecting the inherent structure of the input feature space. Our paper…

Machine Learning · Statistics 2024-03-08 Weichun Xia , Lei Shi

The sound field separation methods can separate the target field from the interfering noises, facilitating the study of the acoustic characteristics of the target source, which is placed in a noisy environment. However, most of the existing…

Audio and Speech Processing · Electrical Eng. & Systems 2019-07-24 Fei Ma , Wen Zhang , Thushara D. Abhayapala

Constrained radial basis function (RBF) regression has recently emerged as a powerful meshless tool for reconstructing continuous velocity fields from scattered flow measurements, particularly in image-based velocimetry. However, existing…

Fluid Dynamics · Physics 2026-03-27 Damien Rigutto , Manuel Ratz , Miguel A. Mendez

Dataset Distillation is the task of synthesizing small datasets from large ones while still retaining comparable predictive accuracy to the original uncompressed dataset. Despite significant empirical progress in recent years, there is…

Machine Learning · Computer Science 2023-05-24 Alaa Maalouf , Murad Tukan , Noel Loo , Ramin Hasani , Mathias Lechner , Daniela Rus

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 work, we propose a simple kernel ridge regression (KRR) framework with a dynamic-aware validation strategy for long-term prediction of complex dynamical systems. By employing a data-driven kernel derived from diffusion maps, the…

Machine Learning · Computer Science 2025-12-30 Jiwoo Song , Daning Huang , John Harlim

We study the time-domain acoustic scattering problem by a cluster of small holes (i.e. sound-soft obstacles). Based on the retarded boundary integral equation method, we derive the asymptotic expansion of the scattered field as the size of…

Analysis of PDEs · Mathematics 2020-02-17 Mourad Sini , Haibing Wang , Qingyun Yao