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Covariance matrix estimation is an important problem in multivariate data analysis, both from theoretical as well as applied points of view. Many simple and popular covariance matrix estimators are known to be severely affected by model…

Methodology · Statistics 2025-11-21 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Quadrilateral layouts on surfaces are valuable in texture mapping, and essential in generation of quadrilateral meshes and in fitting splines. Previous work has characterized such layouts as a special metric on a surface or as a meromorphic…

Computational Geometry · Computer Science 2020-12-18 Kendrick M. Shepherd , René R. Hiemstra , Thomas J. R. Hughes

Posterior drift refers to changes in the relationship between responses and covariates while the distributions of the covariates remain unchanged. In this work, we explore functional linear regression under posterior drift with transfer…

Methodology · Statistics 2024-12-20 Xiaoyu Hu , Zhenhua Lin

Imaging devices exploit the Nyquist-Shannon sampling theorem to avoid both aliasing and redundant oversampling by design. Conversely, in medical image resampling, images are considered as continuous functions, are warped by a spatial…

Image and Video Processing · Electrical Eng. & Systems 2021-01-19 M. Jorge Cardoso , Marc Modat , Tom Vercauteren , Sebastien Ourselin

Semicontinuous outcomes commonly arise in a wide variety of fields, such as insurance claims, healthcare expenditures, rainfall amounts, and alcohol consumption. Regression models, including Tobit, Tweedie, and two-part models, are widely…

Methodology · Statistics 2024-03-26 Lu Yang

Plotting solution sets for particular equations may be complicated by the existence of turning points. Here we describe an algorithm which not only overcomes such problematic points, but does so in the most general of settings. Applications…

Numerical Analysis · Mathematics 2011-07-05 Steven Pollack , Daniel Badali , Jonathan Pollack

Cross-validation is the standard approach for tuning parameter selection in many non-parametric regression problems. However its use is less common in change-point regression, perhaps as its prediction error-based criterion may appear to…

Methodology · Statistics 2024-02-13 Florian Pein , Rajen D. Shah

The Continuous Spontaneous Localization (CSL) model strives to describe the quantum-to-classical transition from the viewpoint of collapse models. However, its original formulation suffers from a fundamental inconsistency in that it is…

Quantum Physics · Physics 2018-10-17 J. Nobakht , M. Carlesso , S. Donadi , M. Paternostro , A. Bassi

We consider the problem of direction finding using partly calibrated arrays, a distributed subarray with position errors between subarrays. The key challenge is to enhance angular resolution in the presence of position errors. To achieve…

Signal Processing · Electrical Eng. & Systems 2022-12-12 Guangbin Zhang , Tianyao Huang , Yimin Liu , Xiqin Wang , Yonina C. Eldar

For planning rearrangements of objects in a clutter, it is required to know the goal configuration of the objects. However, in real life scenarios, this information is not available most of the time. We introduce a novel method that…

Robotics · Computer Science 2019-06-21 Abdul Rahman Dabbour , Esra Erdem , Volkan Patoglu

In exploration, the goal is to build a map of an unknown environment. Most state-of-the-art approaches use map representations that require drift-free state estimates to function properly. Real-world state estimators, however, exhibit…

Robotics · Computer Science 2019-09-05 Titus Cieslewski , Andreas Ziegler , Davide Scaramuzza

Spatially distributed functional data are prevalent in many statistical applications such as meteorology, energy forecasting, census data, disease mapping, and neurological studies. Given their complex and high-dimensional nature,…

Statistics Theory · Mathematics 2024-02-06 Suneel Babu Chatla , Ruiqi Liu

Distributional drift detection is important in medical applications as it helps ensure the accuracy and reliability of models by identifying changes in the underlying data distribution that could affect the prediction results of machine…

Image and Video Processing · Electrical Eng. & Systems 2025-05-12 Yusen Wu , Phuong Nguyen , Rose Yesha , Yelena Yesha

Modern earthwork compaction rollers collect location and compaction information as they traverse a compaction site. These data are indirectly observed through non-linear measurement operators, inherently multivariate with complex…

Applications · Statistics 2013-02-21 Daniel K. Heersink , Reinhard Furrer , Mike A. Mooney

This paper studies the problem of integrated distributed network localization and formation maneuver control. We develop an integrated relative-measurement-based scheme, which only uses relative positions, distances, bearings, angles,…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Xu Fang , Lihua Xie , Xiaolei Li

The robustness of machine learning models can be compromised by spurious correlations between non-causal features in the input data and target labels. A common way to test for such correlations is to train on data where the label is…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Akshit Achara , Yovin Yathathugoda , Nick Byrne , Michela Antonelli , Esther Puyol Anton , Alexander Hammers , Andrew P. King

Cross-validation is a common method for estimating the predictive performance of machine learning models. In a data-scarce regime, where one typically wishes to maximize the number of instances used for training the model, an approach…

Methodology · Statistics 2025-03-25 George I. Austin , Itsik Pe'er , Tal Korem

This work considers the allocation problem for multivariate stratified random sampling as a problem of integer non-linear stochastic multiobjective mathematical programming. With this goal in mind the asymptotic distribution of the vector…

Methodology · Statistics 2011-06-07 Jose A. Diaz-Garcia , Rogelio Ramos-Quiroga

Cross validation residuals are well known for the ordinary least squares model. Here leave-M-out cross validation is extended to generalised least squares. The relationship between cross validation residuals and Cook's distance is…

Methodology · Statistics 2018-09-06 Ingrid Annette Baade

Two-piece location-scale models are used for modeling data presenting departures from symmetry. In this paper, we propose an objective Bayesian methodology for the tail parameter of two particular distributions of the above family: the…

Methodology · Statistics 2018-11-29 Fabrizio Leisen , Luca Rossini , Cristiano Villa
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