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We study regression using functional predictors in situations where these functions contain both phase and amplitude variability. In other words, the functions are misaligned due to errors in time measurements, and these errors can…

应用统计 · 统计学 2019-04-26 J. Derek Tucker , John Lewis , Anuj Srivastava

In this paper, we describe a general algorithmic framework for solving linear signal or feature fusion optimization problems in a distributed setting, for example in a wireless sensor network (WSN). These problems require linearly combining…

信号处理 · 电气工程与系统科学 2023-05-12 Cem Ates Musluoglu , Alexander Bertrand

In this paper, adaptive non-uniform compressive sampling (ANCS) of time-varying signals, which are sparse in a proper basis, is introduced. ANCS employs the measurements of previous time steps to distribute the sensing energy among…

应用统计 · 统计学 2017-03-10 Alireza Zaeemzadeh , Mohsen Joneidi , Nazanin Rahnavard

Homography estimation is a basic computer vision task, which aims to obtain the transformation from multi-view images for image alignment. Unsupervised learning homography estimation trains a convolution neural network for feature…

计算机视觉与模式识别 · 计算机科学 2023-02-07 Mingxiao Huo , Zhihao Zhang , Xinyang Ren , Xianqiang Yang

This article introduces a nonparametric approach to spectral analysis of a high-dimensional multivariate nonstationary time series. The procedure is based on a novel frequency-domain factor model that provides a flexible yet parsimonious…

统计方法学 · 统计学 2019-10-29 Zeda Li , Ori Rosen , Fabio Ferrarelli , Robert T. Krafty

We consider the problem of pointwise estimation of multi-dimensional signals $s$, from noisy observations $(y_\tau)$ on the regular grid $\bZd$. Our focus is on the adaptive estimation in the case when the signal can be well recovered using…

统计理论 · 数学 2008-09-05 Anatoli Juditsky , Arkadii S. Nemirovski

In this study, we estimate parameters in stochastic oscillatory systems by developing a novel cost function. This function incorporates power spectral density, analytic signal, and position crossings, each weighted to capture distinct…

计算物理 · 物理学 2026-04-02 Joseph M. Marcinik , Dzmitry Vaido , Dolores Bozovic

An adaptive nonparametric estimation procedure is constructed for the estimation problem of heteroscedastic regression when the noise variance depends on the unknown regression. A non-asymptotic upper bound for a quadratic risk (an oracle…

统计理论 · 数学 2008-12-18 Leonid Galtchouk , Serguey Pergamenshchikov

The elastic behavior of materials is of critical importance for the design, fabrication, and testing of industrial and structural components. The ease with which the wave angle of incidence can be varied makes ultrasonic techniques well…

材料科学 · 物理学 2026-04-14 Diego Cowes , Juan I. Mieza , MArtín P. Gómez

The paper considers the problem of robust estimating a periodic function in a continuous time regression model with dependent disturbances given by a general square integrable semimartingale with unknown distribution. An example of such a…

统计理论 · 数学 2010-10-20 Victor Konev , Serguei Pergamenchtchikov

A common concern in the field of functional data analysis is the challenge of temporal misalignment, which is typically addressed using curve registration methods. Currently, most of these methods assume the data is governed by a single…

A new algorithm for estimating the time-varying frequency of a noiseless sinusoidal signal is considered. It is assumed that the amplitude and frequency of the sinusoidal signal are unknown functions of time, but are solutions of linear…

动力系统 · 数学 2021-10-13 A. A. Bobtsov , N. A. Nikolaev , O. V. Oskina , S. I. Nizovtsev

We consider the problem of discrete-time signal denoising, focusing on a specific family of non-linear convolution-type estimators. Each such estimator is associated with a time-invariant filter which is obtained adaptively, by solving a…

统计理论 · 数学 2018-06-13 Dmitrii Ostrovskii , Zaid Harchaoui

Many modern engineering structures exhibit nonlinear vibration. Characterizing such vibrations efficiently is critical to optimizing designs for reliability and performance. For linear systems, steady-state vibration occurs only at the…

动力系统 · 数学 2024-05-02 Justin H. Porter , Matthew R. W. Brake

We consider the model of nonregular nonparametric regression where smoothness constraints are imposed on the regression function $f$ and the regression errors are assumed to decay with some sharpness level at their endpoints. The aim of…

统计理论 · 数学 2014-10-02 Moritz Jirak , Alexander Meister , Markus Reiß

The vibration analysis of the bearing is very crucial because of its non-stationary nature and low signal-to-noise ratio. Therefore, a novel scheme for detecting bearing defects is put forward based on the extraction of single-valued…

信号处理 · 电气工程与系统科学 2024-03-20 Sumika Chauhan , Govind Vashishtha , Rajesh Kumar , Radoslaw Zimroz , Pradeep Kundu

The relative degree limitation for adaptive observer-based synchronization schemes is overcome. The scheme is extended to nonpassifiable systems. Two synchronization methods are described and justified based on augmented error adaptive…

最优化与控制 · 数学 2007-05-23 V. O. Nikiforov , A. L. Fradkov , B. R. Andrievsky

The early detection of potential failures in industrial machinery components is paramount for ensuring the reliability and safety of operations, thereby preserving Machine Condition Monitoring (MCM). This research addresses this imperative…

声音 · 计算机科学 2024-10-28 Sahan Dissanayaka , Manjusri Wickramasinghe , Pasindu Marasinghe

Analysis of biological rhythm data often involves performing least squares trigonometric regression, which models the oscillations of a response over time as a sum of sinusoidal components. When the response is not normally distributed, an…

应用统计 · 统计学 2026-01-19 Michael T. Gorczyca

This paper presents a novel approach for estimating the modes of an observed non-stationary mixture signal. A link is first established between the short-time Fourier transform and the sparse sampling theory, where the observations are…

数值分析 · 数学 2022-12-23 Quentin Legros , Dominique Fourer