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This paper proposes nonparametric kernel-smoothing estimation for panel data to examine the degree of heterogeneity across cross-sectional units. We first estimate the sample mean, autocovariances, and autocorrelations for each unit and…

计量经济学 · 经济学 2019-05-28 Ryo Okui , Takahide Yanagi

In this paper, we propose a variable selection method for general nonparametric kernel-based estimation. The proposed method consists of two-stage estimation: (1) construct a consistent estimator of the target function, (2) approximate the…

机器学习 · 统计学 2018-12-05 Kota Matsui , Wataru Kumagai , Kenta Kanamori , Mitsuaki Nishikimi , Takafumi Kanamori

Density estimation is a fundamental task in statistics and machine learning applications. Kernel density estimation is a powerful tool for non-parametric density estimation in low dimensions; however, its performance is poor in higher…

机器学习 · 计算机科学 2022-08-08 Joseph A. Gallego , Fabio A. González

The traditional kernel density estimator of an unknown density is by construction completely nonparametric, in the sense that it has no preferences and will work reasonably well for all shapes. The present paper develops a class of…

统计方法学 · 统计学 2026-05-05 Nils Lid Hjort , Ingrid Kristine Glad

Spectral methods have greatly advanced the estimation of latent variable models, generating a sequence of novel and efficient algorithms with strong theoretical guarantees. However, current spectral algorithms are largely restricted to…

机器学习 · 计算机科学 2013-12-10 Le Song , Animashree Anandkumar , Bo Dai , Bo Xie

This paper presents a new black-box technique for modeling long term memory effects in radio frequency power amplifiers. The proposed technique extends commonly used behavioral models by utilizing parameters that dynamically change…

系统与控制 · 计算机科学 2014-10-30 Ali Soltani Tehrani , Haiying Cao , Thomas Eriksson , Christian Fager

We introduce a nonparametric way to estimate the global probability density function for a random persistence diagram. Precisely, a kernel density function centered at a given persistence diagram and a given bandwidth is constructed. Our…

统计理论 · 数学 2018-03-14 Joshua Lee Mike , Vasileios Maroulas

We propose a kernel-spectral embedding algorithm for learning low-dimensional nonlinear structures from high-dimensional and noisy observations, where the datasets are assumed to be sampled from an intrinsically low-dimensional manifold and…

机器学习 · 统计学 2023-07-07 Xiucai Ding , Rong Ma

Statistical modeling of experimental physical laws is based on the probability density function of measured variables. It is expressed by experimental data via a kernel estimator. The kernel is determined objectively by the scattering of…

数据分析、统计与概率 · 物理学 2007-05-23 I. Grabec

This paper develops a nonparametric density estimator with parametric overtones. Suppose $f(x,\theta)$ is some family of densities, indexed by a vector of parameters $\theta$. We define a local kernel smoothed likelihood function which for…

统计方法学 · 统计学 2026-04-22 Nils Lid Hjort , M. C. Jones

The spectral density function describes the second-order properties of a stationary stochastic process on $\mathbb{R}^d$. This paper considers the nonparametric estimation of the spectral density of a continuous-time stochastic process…

统计理论 · 数学 2023-02-07 Rafail Kartsioukas , Stilian Stoev , Tailen Hsing

The dynamic range is an important parameter which measures the spread of sound power, and for music signals it is a measure of recording quality. There are various descriptive measures of sound power, none of which has strong statistical…

应用统计 · 统计学 2018-02-15 Pietro Coretto , Francesco Giordano

In this paper, by mapping datasets to a set of non-linear coherent states, the process of encoding inputs in quantum states as a non-linear feature map is re-interpreted. As a result of this fact that the Radial Basis Function is recovered…

量子物理 · 物理学 2020-07-17 Prayag Tiwari , Shahram Dehdashti , Abdul Karim Obeid , Massimo Melucci , Peter Bruza

This paper presents a kernel-based framework for physics-informed nonlinear system identification. The key contribution is a structured methodology that extends kernel-based techniques to seamlessly embed partially known physics-based…

系统与控制 · 电气工程与系统科学 2025-10-20 Cesare Donati , Martina Mammarella , Giuseppe C. Calafiore , Fabrizio Dabbene , Constantino Lagoa , Carlo Novara

Kernel Estimation provides an unbinned and non-parametric estimate of the probability density function from which a set of data is drawn. In the first section, after a brief discussion on parametric and non-parametric methods, the theory of…

高能物理 - 实验 · 物理学 2009-10-31 Kyle S. Cranmer

In this paper we consider the nonparametric estimation of density and regression functions with non-negative support using a gamma kernel procedure introduced by Chen (2000). Strong uniform consistency and asymptotic normality of the…

统计理论 · 数学 2016-10-18 A. C. Rosa , M. E. Nogueira

This paper introduces a data-adaptive non-parametric approach for the estimation of time-varying spectral densities from nonstationary time series. Time-varying spectral densities are commonly estimated by local kernel smoothing. The…

统计计算 · 统计学 2020-07-21 Anne van Delft , Michael Eichler

Nonparametric density estimation is of great importance when econometricians want to model the probabilistic or stochastic structure of a data set. This comprehensive review summarizes the most important theoretical aspects of kernel…

统计方法学 · 统计学 2012-12-13 Adriano Zanin Zambom , Ronaldo Dias

Nonlinearities in piezoelectric systems can arise from internal factors such as nonlinear constitutive laws or external factors like realizations of boundary conditions. It can be difficult or even impossible to derive detailed models from…

最优化与控制 · 数学 2020-04-14 Sai Tej Paruchuri , Jia Guo , Andrew J. Kurdila

Parametric factor copula models typically work well in modeling multivariate dependencies due to their flexibility and ability to capture complex dependency structures. However, accurately estimating the linking copulas within these models…

统计方法学 · 统计学 2025-10-22 Bahareh Ghanbari , Pavel Krupskiy , Laleh Tafakori , Yan Wang
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