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Parametric system identification methods estimate the parameters of explicitly defined physical systems from data. Yet, they remain constrained by the need to provide an explicit function space, typically through a predefined library of…

机器学习 · 计算机科学 2026-03-17 Markus W. Baumgartner , Anson Lei , Joe Watson , Ingmar Posner

Conventional deformable registration methods aim at solving an optimization model carefully designed on image pairs and their computational costs are exceptionally high. In contrast, recent deep learning based approaches can provide fast…

计算机视觉与模式识别 · 计算机科学 2021-10-01 Risheng Liu , Zi Li , Xin Fan , Chenying Zhao , Hao Huang , Zhongxuan Luo

3D anomaly detection in point-cloud data is critical for industrial quality control, aiming to identify structural defects with high reliability. However, current memory bank-based methods often suffer from inconsistent feature…

计算机视觉与模式识别 · 计算机科学 2025-10-21 Yuyang Yu , Zhengwei Chen , Xuemiao Xu , Lei Zhang , Haoxin Yang , Yongwei Nie , Shengfeng He

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

Dimension reduction is often necessary in functional data analysis, with functional principal component analysis being one of the most widely used techniques. A key challenge in applying these methods is determining the number of…

统计方法学 · 统计学 2025-10-09 Chi Zhang , Peijun Sang , Yingli Qin

We consider the problem of predicting a real random variable from a functional explanatory variable. The problem is attacked by mean of nonparametric kernel approach which has been recently adapted to this functional context. We derive…

统计理论 · 数学 2016-08-16 Frédéric Ferraty , André Mas , Philippe Vieu

Registration, which aims to find an optimal one-to-one correspondence between different data, is an important problem in various fields. This problem is especially challenging when large deformations occur. In this paper, we present a novel…

微分几何 · 数学 2013-10-08 Lam Ka Chun , Lok Ming Lui

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

最优化与控制 · 数学 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

A nonparametric procedure to estimate the conditional probability that a nonstationary geostatistical process exceeds a certain threshold value is proposed. The method consists of a bootstrap algorithm that combines conditional simulation…

统计方法学 · 统计学 2024-04-01 Rubén Fernández-Casal , Sergio Castillo-Páez , Mario Francisco-Fernández

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

统计理论 · 数学 2020-11-05 Zixiang Guan , Gemai Chen

Image registration is the process of transforming different sets of data into one coordinate system and is required for various remote sensing applications like change detection, image fusion, and other related areas. The effect of…

计算机视觉与模式识别 · 计算机科学 2013-03-28 Arun P. V. , Dr. S. K. Katiyar

We study the problem of learning an unknown function using random feature models. Our main contribution is an exact asymptotic analysis of such learning problems with Gaussian data. Under mild regularity conditions for the feature matrix,…

信息论 · 计算机科学 2020-08-28 Oussama Dhifallah , Yue M. Lu

Identifiability describes the possibility of determining the values of the unknown parameters that characterize a dynamic system from the knowledge of its inputs and outputs. This paper finds the general analytical condition that fully…

最优化与控制 · 数学 2023-05-03 Agostino Martinelli

We propose an iterative scheme for feature-based positioning using a new weighted dissimilarity measure with the goal of reducing the impact of large errors among the measured or modeled features. The weights are computed from the…

机器学习 · 计算机科学 2019-05-31 Caifa Zhou , Andreas Wieser

When employing non-linear methods to characterise complex systems, it is important to determine to what extent they are capturing genuine non-linear phenomena that could not be assessed by simpler spectral methods. Specifically, we are…

统计方法学 · 统计学 2021-09-22 Pedro A. M. Mediano , Fernando E. Rosas , Adam B. Barrett , Daniel Bor

In this work we are interested in the problems of supervised learning and variable selection when the input-output dependence is described by a nonlinear function depending on a few variables. Our goal is to consider a sparse nonparametric…

机器学习 · 统计学 2012-08-14 Lorenzo Rosasco , Silvia Villa , Sofia Mosci , Matteo Santoro , Alessandro verri

Nonparametric Instrumental Variables (NPIV) analysis is based on a conditional moment restriction. We show that if this moment condition is even slightly misspecified, say because instruments are not quite valid, then NPIV estimates can be…

计量经济学 · 经济学 2022-12-13 Ben Deaner

Deformable image registration poses a challenging problem where, unlike most deep learning tasks, a complex relationship between multiple coordinate systems has to be considered. Although data-driven methods have shown promising…

计算机视觉与模式识别 · 计算机科学 2025-03-11 Vasiliki Sideri-Lampretsa , Nil Stolt-Ansó , Huaqi Qiu , Julian McGinnis , Wenke Karbole , Martin Menten , Daniel Rueckert

Methods for medical image registration infer geometric transformations that align pairs/groups of images by maximising an image similarity metric. This problem is ill-posed as several solutions may have equivalent likelihoods, also…

计算机视觉与模式识别 · 计算机科学 2024-03-19 Aisha L. Shuaibu , Ivor J. A. Simpson

We present a generic method for assessing the quality of non-rigid registration (NRR) algorithms, that does not depend on the existence of any ground truth, but depends solely on the data itself. The data is a set of images. The output of…

计算机视觉与模式识别 · 计算机科学 2020-02-26 Carole J. Twining , Vladimir S. Petrović , Timothy F. Cootes , Roy S. Schestowitz , William R. Crum , Christopher J. Taylor