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Selecting important features in non-linear or kernel spaces is a difficult challenge in both classification and regression problems. When many of the features are irrelevant, kernel methods such as the support vector machine and kernel…

Machine Learning · Statistics 2009-06-25 Genevera I. Allen

The kernel ridge regression (KRR) approach is extended to include the odd-even effects in nuclear mass predictions by remodulating the kernel function without introducing new weight parameters and inputs in the training network. By taking…

Nuclear Theory · Physics 2021-06-03 X. H. Wu , L. H. Guo , P. W. Zhao

Many machine learning problems can be formulated as predicting labels for a pair of objects. Problems of that kind are often referred to as pairwise learning, dyadic prediction or network inference problems. During the last decade kernel…

Machine Learning · Statistics 2018-03-06 Michiel Stock , Tapio Pahikkala , Antti Airola , Bernard De Baets , Willem Waegeman

We develop a novel procedure for constructing confidence bands for components of a sparse additive model. Our procedure is based on a new kernel-sieve hybrid estimator that combines two most popular nonparametric estimation methods in the…

Machine Learning · Statistics 2018-02-14 Junwei Lu , Mladen Kolar , Han Liu

Kernel estimation techniques, such as mean shift, suffer from one major drawback: the kernel bandwidth selection. The bandwidth can be fixed for all the data set or can vary at each points. Automatic bandwidth selection becomes a real…

Computer Vision and Pattern Recognition · Computer Science 2011-11-10 Aurelie Bugeau , Patrick Pérez

The use of spatial information with multiple microphones can improve far-field automatic speech recognition (ASR) accuracy. However, conventional microphone array techniques degrade speech enhancement performance when there is an array…

Audio and Speech Processing · Electrical Eng. & Systems 2021-12-23 Kenichi Kumatani , Minhua Wu , Shiva Sundaram , Nikko Strom , Bjorn Hoffmeister

Kernel mean embeddings are a popular tool that consists in representing probability measures by their infinite-dimensional mean embeddings in a reproducing kernel Hilbert space. When the kernel is characteristic, mean embeddings can be used…

Machine Learning · Computer Science 2021-06-29 Boris Muzellec , Francis Bach , Alessandro Rudi

Acoustic scattering is strongly influenced by boundary geometry of objects over which sound scatters. The present work proposes a method to infer object geometry from scattering features by training convolutional neural networks. The…

Sound · Computer Science 2021-02-12 Ziqi Fan , Vibhav Vineet , Chenshen Lu , T. W. Wu , Kyla McMullen

This paper proposes a neural network based speech separation method using spatially distributed microphones. Unlike with traditional microphone array settings, neither the number of microphones nor their spatial arrangement is known in…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-01 Dongmei Wang , Zhuo Chen , Takuya Yoshioka

For radial basis function (RBF) kernel interpolation of scattered data, Schaback in 1995 proved that the attainable approximation error and the condition number of the underlying interpolation matrix cannot be made small simultaneously. He…

Numerical Analysis · Mathematics 2023-10-26 Shao-Bo Lin , Xingping Sun , Di Wang

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 deal with nonparametric regression for circular data, meaning that observations are represented by points lying on the unit circle. We propose a kernel estimation procedure with data-driven selection of the bandwidth…

Statistics Theory · Mathematics 2023-07-03 Tien Dat Nguyen , Thanh Mai Pham Ngoc , Vincent Rivoirard

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

In this paper, we propose an effective and robust method for acoustic scene analysis based on spatial information extracted from partially synchronized and/or closely located distributed microphones. In the proposed method, to extract…

Sound · Computer Science 2018-07-10 Keisuke Imoto

Besides suppressing all undesired sound sources, an important objective of a binaural noise reduction algorithm for hearing devices is the preservation of the binaural cues, aiming at preserving the spatial perception of the acoustic scene.…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-22 N. Gößling , S. Doclo

Conditionally positive definite (CPD) kernels are defined with respect to a function class $\mathcal{F}$. It is well known that such a kernel $K$ is associated with its native space (defined analogously to an RKHS), which in turn gives rise…

Machine Learning · Computer Science 2026-05-26 Rustem Takhanov , Zhenisbek Assylbekov

We present a numerical approach to the solution of elastic phonon scattering problems based on a frequency domain decomposition of the atomistic equations of motion and the use of perfectly matched layer or PML boundaries. Unlike MD…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Rohit R. Kakodkar , Joseph P. Feser

Consistent weighted least square estimators are proposed for a wide class of nonparametric regression models with random regression function, where this real-valued random function of $k$ arguments is assumed to be continuous with…

Statistics Theory · Mathematics 2023-07-04 Yu. Yu. Linke , I. S. Borisov , P. S. Ruzankin

Representing, comparing, and measuring the distance between probability distributions is a key task in computational statistics and machine learning. The choice of representation and the associated distance determine properties of the…

Machine Learning · Statistics 2026-02-26 Masha Naslidnyk

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
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