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We consider the problem of nonparametric estimation of the conformational variability in a population of related structures, based on low-dose tomography of a random sample of representative individuals. In this context, each individual…

Statistics Theory · Mathematics 2025-07-15 Ho Yun , Alessia Caponera , Victor M. Panaretos

We propose a method for nonparametric density estimation that exhibits robustness to contamination of the training sample. This method achieves robustness by combining a traditional kernel density estimator (KDE) with ideas from classical…

Machine Learning · Statistics 2011-09-07 JooSeuk Kim , Clayton D. Scott

This paper presents a population synthesis model that utilizes the Wasserstein Generative-Adversarial Network (WGAN) for training on incomplete microsamples. By using a mask matrix to represent missing values, the study proposes a WGAN…

Machine Learning · Computer Science 2025-10-02 Tanay Rastogi , Daniel Jonsson , Anders Karlström

In this work, we propose the kernel Pitman-Yor process (KPYP) for nonparametric clustering of data with general spatial or temporal interdependencies. The KPYP is constructed by first introducing an infinite sequence of random locations.…

Machine Learning · Computer Science 2012-10-17 Sotirios P. Chatzis , Dimitrios Korkinof , Yiannis Demiris

We introduce an accurate and efficient method for a class of nonlocal potential evaluations with free boundary condition, including the 3D/2D Coulomb, 2D Poisson and 3D dipolar potentials. Our method is based on a Gaussian-sum approximation…

Computational Physics · Physics 2016-12-09 Lukas Exl , Norbert J. Mauser , Yong Zhang

One key issue in several astrophysical problems is the evaluation of the density probability function underlying an observational discrete data set. We here review two non-parametric density estimators which recently appeared in the…

Astrophysics · Physics 2009-10-30 Dario Fadda , Eric Slezak , Albert Bijaoui

Sensitive datasets are often underutilized in research and industry due to privacy concerns, limiting the potential of valuable data-driven insights. Synthetic data generation presents a promising solution to address this challenge by…

Computation · Statistics 2026-01-27 Ali Furkan Kalay

We introduce a new deal of kernel density estimation using an exponentiated form of kernel density estimators. The density estimator has two hyperparameters flexibly controlling the smoothness of the resulting density. We tune them in a…

The biomedical field is among the sectors most impacted by the increasing regulation of Artificial Intelligence (AI) and data protection legislation, given the sensitivity of patient information. However, the rise of synthetic data…

Machine Learning · Computer Science 2024-04-26 Eric Macias-Fassio , Aythami Morales , Cristina Pruenza , Julian Fierrez

Memory-based collaborative filtering methods like user or item k-nearest neighbors (kNN) are a simple yet effective solution to the recommendation problem. The backbone of these methods is the estimation of the empirical similarity between…

Information Retrieval · Computer Science 2019-05-20 Farhan Khawar , Nevin L. Zhang

Local polynomial regression struggles with several challenges when dealing with sparse data. The difficulty in capturing local features of the underlying function can lead to a potential misrepresentation of the true relationship.…

Methodology · Statistics 2025-05-02 Chunlei Ge , W. John Braun

In this paper, we propose a special fusion method for combining ensembles of base classifiers utilizing new neural networks in order to improve overall efficiency of classification. While ensembles are designed such that each classifier is…

Machine Learning · Computer Science 2009-12-08 Mehdi Salkhordeh Haghighi , Hadi Sadoghi Yazdi , Abedin Vahedian , Hamed Modaghegh

There has been much progress on efficient algorithms for clustering data points generated by a mixture of $k$ probability distributions under the assumption that the means of the distributions are well-separated, i.e., the distance between…

Data Structures and Algorithms · Computer Science 2010-04-13 Amit Kumar , Ravindran Kannan

Kernel smoothing is a highly flexible and popular approach for estimation of probability density and intensity functions of continuous spatial data. In this role it also forms an integral part of estimation of functionals such as the…

Methodology · Statistics 2017-07-24 Tilman M. Davies , Jonathan C. Marshall , Martin L. Hazelton

We present population synthesis modeling of the X-ray background with genetic algorithm - based optimization method. In our models the best fit could be achieved for lower values of high-energy exponential cut-off (~ 170 keV) and larger…

Astrophysics · Physics 2007-05-23 Alexander V. Halevin

Kernel density estimation is a well known method involving a smoothing parameter (the bandwidth) that needs to be tuned by the user. Although this method has been widely used the bandwidth selection remains a challenging issue in terms of…

Statistics Theory · Mathematics 2019-02-05 Suzanne Varet , Claire Lacour , Pascal Massart , Vincent Rivoirard

We propose a clustering procedure to group K populations into subgroups with the same dependence structure. The method is adapted to paired population and can be used with panel data. It relies on the differences between orthogonal…

Methodology · Statistics 2022-11-14 Yves Ismaël Ngounou Bakam , Denys Pommeret

We propose a kernel mixture of polynomials prior for Bayesian nonparametric regression. The regression function is modeled by local averages of polynomials with kernel mixture weights. We obtain the minimax-optimal rate of contraction of…

Statistics Theory · Mathematics 2018-09-17 Fangzheng Xie , Yanxun Xu

In this article we perform an asymptotic analysis of parallel Bayesian logspline density estimators. Such estimators are useful for the analysis of datasets that are partitioned into subsets and stored in separate databases without the…

Statistics Theory · Mathematics 2023-07-18 Konstandinos Kotsiopoulos , Alexey Miroshnikov , Erin Conlon

A hybrid estimator of the log-spectral density of a stationary time series is proposed. First, a multiple taper estimate is performed, followed by kernel smoothing the log-multitaper estimate. This procedure reduces the expected mean square…

Methodology · Statistics 2020-02-18 Alexander Sidorenko , Kurt S. Riedel
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