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Kernel smoothing is a widely used nonparametric method in modern statistical analysis. The problem of efficiently conducting kernel smoothing for a massive dataset on a distributed system is a problem of great importance. In this work, we…

统计计算 · 统计学 2024-10-08 Yuan Gao , Rui Pan , Feng Li , Riquan Zhang , Hansheng Wang

Many scientific problems involve data exhibiting both temporal and cross-sectional dependencies. While linear dependencies have been extensively studied, the theoretical analysis of regression estimators under nonlinear dependencies remains…

统计理论 · 数学 2025-02-27 Marie-Christine Düker , Adam Waterbury

Speech Emotion Recognition systems often use static features like Mel-Frequency Cepstral Coefficients (MFCCs), Zero Crossing Rate (ZCR), and Root Mean Square Energy (RMSE). Because of this, they can misclassify emotions when there is…

声音 · 计算机科学 2026-01-28 Marouane El Hizabri , Abdelfattah Bezzaz , Ismail Hayoukane , Youssef Taki

We propose a new fully non-parametric two-step adaptive bandwidth selection method for kernel estimators of spatial point process intensity functions based on the Campbell-Mecke formula and Abramson's square root law. We present a…

统计方法学 · 统计学 2022-10-24 M. N. M. van Lieshout

Speech representation and modelling in high-dimensional spaces of acoustic waveforms, or a linear transformation thereof, is investigated with the aim of improving the robustness of automatic speech recognition to additive noise. The…

计算与语言 · 计算机科学 2015-03-31 Matthew Ager , Zoran Cvetkovic , Peter Sollich

Variational methods are widely used for approximate posterior inference. However, their use is typically limited to families of distributions that enjoy particular conjugacy properties. To circumvent this limitation, we propose a family of…

机器学习 · 计算机科学 2012-06-22 Samuel Gershman , Matt Hoffman , David Blei

We study kernel-based estimation of nonparametric time-varying parameters (TVPs) in linear models. Our contributions are threefold. First, we establish consistency and asymptotic normality of the kernel-based estimator for a broad class of…

计量经济学 · 经济学 2026-01-26 Mikihito Nishi

This paper discusses the solution of nonlinear integral equations with noisy integral kernels as they appear in nonparametric instrumental regression. We propose a regularized Newton-type iteration and establish convergence and convergence…

数值分析 · 数学 2015-04-01 Fabian Dunker , Jean-Pierre Florens , Thorsten Hohage , Jan Johannes , Enno Mammen

Nonparametric regression is a standard statistical tool with increased importance in the Big Data era. Boundary points pose additional difficulties but local polynomial regression can be used to alleviate them. Local linear regression, for…

其他统计学 · 统计学 2017-04-04 Srinjoy Das , Dimitris N. Politis

Nonparametric density estimation for compositional data supported on the simplex is examined under a missing at random mechanism. Rather than imputing missing values and estimating the density from a completed data set, we adopt a strategy…

统计方法学 · 统计学 2026-03-10 Hanen Daayeb , Wissem Jedidi , Salah Khardani , Guanjie Lyu , Frédéric Ouimet

We consider the problem of recovering of continuous multi-dimensional functions from the noisy observations over the regular grid. Our focus is at the adaptive estimation in the case when the function can be well recovered using a linear…

统计理论 · 数学 2009-03-06 Anatoli Iouditski , Arkadii S. Nemirovski

Trustworthy machine learning necessitates meticulous regulation of model reliance on non-robust features. We propose a framework to delineate and regulate such features by attributing model predictions to the input. Within our approach,…

机器学习 · 计算机科学 2024-07-10 Peiyu Yang , Naveed Akhtar , Mubarak Shah , Ajmal Mian

This paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase…

介观与纳米尺度物理 · 物理学 2020-11-03 Donghao Li , Steven W. Shaw

Existing permanental processes often impose constraints on kernel types or stationarity, limiting the model's expressiveness. To overcome these limitations, we propose a novel approach utilizing the sparse spectral representation of…

机器学习 · 统计学 2024-12-20 Zicheng Sun , Yixuan Zhang , Zenan Ling , Xuhui Fan , Feng Zhou

Elliptical distributions are a simple and flexible class of distributions that depend on a one-dimensional function, called the density generator. In this article, we study the non-parametric estimator of this generator that was introduced…

统计理论 · 数学 2025-02-24 Victor Ryan , Alexis Derumigny

A two-class mixture model, where the density of one of the components is known, is considered. We address the issue of the nonparametric adaptive estimation of the unknown probability density of the second component. We propose a randomly…

统计理论 · 数学 2021-02-08 Gaelle Chagny , Antoine Channarond , Van Ha Hoang , Angelina Roche

This project explores the use of non-volatile synapses in neuromorphic computing for pattern recognition tasks through a comprehensive simulation-based approach. The main approach is through spintronic synapses, which leverage the…

介观与纳米尺度物理 · 物理学 2025-01-08 Luis Sosa , Minhyeok Wi , Miguel Barrera , Imran Nasrullah , Yingying Wu

This study introduces a novel nonparametric approach for detecting Differential Item Functioning (DIF) in binary items through direct comparison of Item Response Curves (IRCs). Building on prior work on nonparametric comparison of…

统计方法学 · 统计学 2025-11-25 Adéla Hladká , Patrícia Martinková

We propose nonparametric estimation of divergence measures between continuous distributions. Our approach is based on a plug-in kernel- type estimators of density functions. We give the uniform in bandwidth consistency for the proposal…

统计方法学 · 统计学 2014-06-24 Papa Ngom , Hamza Dhaker , Pierre Mendy , El Hadji Deme

We consider the prediction problem of a continuous-time stochastic process on an entire time-interval in terms of its recent past. The approach we adopt is based on functional kernel nonparametric regression estimation techniques where…

统计理论 · 数学 2007-06-13 Anestis Antoniadis , Efstathios Paparoditis , Theofanis Sapatinas