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A characteristic feature of functional data is the presence of phase variability in addition to amplitude variability. Existing functional regression methods do not handle time variability in an explicit and efficient way. In this paper we…

Methodology · Statistics 2014-04-22 Daniel Gervini

Functional registration algorithms represent point clouds as functions (e.g. spacial occupancy field) avoiding unreliable correspondence estimation in conventional least-squares registration algorithms. However, existing functional…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Muchen Sun , Allison Pinosky , Ian Abraham , Todd Murphey

Image registration techniques usually assume that the images to be registered are of a certain type (e.g. single- vs. multi-modal, 2D vs. 3D, rigid vs. deformable) and there lacks a general method that can work for data under all…

Image and Video Processing · Electrical Eng. & Systems 2025-01-28 Quang Luong Nhat Nguyen , Ruiming Cao , Laura Waller

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the properties are (approximately) constant for some time and then slowly start…

Methodology · Statistics 2015-04-03 Michael Vogt , Holger Dette

In this paper, we propose a learning-based framework for non-rigid shape registration without correspondence supervision. Traditional shape registration techniques typically rely on correspondences induced by extrinsic proximity, therefore…

Computer Vision and Pattern Recognition · Computer Science 2023-11-09 Puhua Jiang , Mingze Sun , Ruqi Huang

Deep learning methods for unsupervised registration often rely on objectives that assume a uniform noise level across the spatial domain (e.g. mean-squared error loss), but noise distributions are often heteroscedastic and input-dependent…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Xiaoran Zhang , Daniel H. Pak , Shawn S. Ahn , Xiaoxiao Li , Chenyu You , Lawrence H. Staib , Albert J. Sinusas , Alex Wong , James S. Duncan

Instrumental variable (IV) methods are widely used to infer treatment effects in the presence of unmeasured confounding. In this paper, we study nonparametric inference with an IV under a separable binary treatment choice model, which…

Methodology · Statistics 2026-02-03 Chan Park , Eric Tchetgen Tchetgen

We consider an independence feature screening technique for identifying explanatory variables that locally contribute to the response variable in high-dimensional regression analysis. Without requiring a specific parametric form of the…

Statistics Theory · Mathematics 2016-03-31 Jinyuan Chang , Cheng Yong Tang , Yichao Wu

Identification in errors-in-variables regression models was recently extended to wide models classes by S. Schennach (Econometrica, 2007) (S) via use of generalized functions. In this paper the problems of non- and semi- parametric…

Methodology · Statistics 2009-09-30 Victoria Zinde-Walsh

Stationary Random Functions have been successfully applied in geostatistical applications for decades. In some instances, the assumption of a homogeneous spatial dependence structure across the entire domain of interest is unrealistic. A…

Methodology · Statistics 2014-12-04 Francky Fouedjio , Nicolas Desassis , Thomas Romary

This paper continues earlier work and is concerned with the inverse problem of parameter identification in variational inequalities of the second kind that does not only treat the parameter linked to a bilinear form, but importantly also…

Optimization and Control · Mathematics 2021-01-01 Joachim Gwinner

While unsupervised domain adaptation has been explored to leverage the knowledge from a labeled source domain to an unlabeled target domain, existing methods focus on the distribution alignment between two domains. However, how to better…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Youshan Zhang , Brian D. Davison

With the increasing availability of new image registration approaches, an unbiased evaluation is becoming more needed so that clinicians can choose the most suitable approaches for their applications. Current evaluations typically use…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Jie Luo , Guangshen Ma , Sarah Frisken , Parikshit Juvekar , Nazim Haouchine , Zhe Xu , Yiming Xiao , Alexandra Golby , Patrick Codd , Masashi Sugiyama , William Wells

In this paper we offer a unified approach to the problem of nonparametric regression on the unit interval. It is based on a universal, honest and non-asymptotic confidence region which is defined by a set of linear inequalities involving…

Statistics Theory · Mathematics 2007-11-06 P. L. Davies , A. Kovac , M. Meise

Spectral Laplacian methods, widely used in computer graphics and manifold learning, have been recently proposed for the Statistical Process Control (SPC) of a sequence of manufactured parts, whose 3-dimensional metrology is acquired with…

Methodology · Statistics 2022-01-03 Xueqi Zhao , Enrique del Castillo

Functional magnetic resonance imaging (fMRI) data provides information concerning activity in the brain and in particular the interactions between brain regions. Resting state fMRI data is widely used for inferring connectivities in the…

Applications · Statistics 2019-03-04 Christina Stoehr , John A D Aston , Claudia Kirch

Regression models with functional responses and covariates constitute a powerful and increasingly important model class. However, regression with functional data poses well known and challenging problems of non-identifiability. This…

Methodology · Statistics 2016-02-22 Fabian Scheipl , Sonja Greven

This study proposes an end-to-end unsupervised diffeomorphic deformable registration framework based on moving mesh parameterization. Using this parameterization, a deformation field can be modeled with its transformation Jacobian…

Image and Video Processing · Electrical Eng. & Systems 2022-08-30 Ameneh Sheikhjafari , Deepa Krishnaswamy , Michelle Noga , Nilanjan Ray , Kumaradevan Punithakumar

We tackle here the problem of multimodal image non-rigid registration, which is of prime importance in remote sensing and medical imaging. The difficulties encountered by classical registration approaches include feature design and slow…

Computer Vision and Pattern Recognition · Computer Science 2018-02-28 Armand Zampieri , Guillaume Charpiat , Yuliya Tarabalka

In classical statistics, the bias-variance trade-off describes how varying a model's complexity (e.g., number of fit parameters) affects its ability to make accurate predictions. According to this trade-off, optimal performance is achieved…

Machine Learning · Statistics 2022-08-05 Jason W. Rocks , Pankaj Mehta
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