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Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

Applications · Statistics 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

Computer models play a key role in many scientific and engineering problems. One major source of uncertainty in computer model experiment is input parameter uncertainty. Computer model calibration is a formal statistical procedure to infer…

Machine Learning · Statistics 2020-09-09 Saumya Bhatnagar , Won Chang , Seonjin Kim Jiali Wang

High-definition 3D city maps enable city planning and change detection, which is essential for municipal compliance, map maintenance, and asset monitoring, including both built structures and urban greenery. Conventional Digital Surface…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Hezam Albagami , Haitian Wang , Xinyu Wang , Muhammad Ibrahim , Zainy M. Malakan , Abdullah M. Alqamdi , Mohammed H. Alghamdi , Ajmal Mian

The calibration of (low-cost) inertial sensors has become increasingly important over the past years since their use has grown exponentially in many applications going from unmanned aerial vehicle navigation to 3D-animation. However, this…

Applications · Statistics 2016-07-22 James Balamuta , Stephane Guerrier , Roberto Molinari , Wenchao Yang

We present an accurate and efficient discretization approach for the adaptive discretization of typical model equations employed in numerical weather prediction. A semi-Lagrangian approach is combined with the TR-BDF2 semi-implicit time…

Numerical Analysis · Mathematics 2014-05-23 G. Tumolo , L. Bonaventura

The focus of our work is improving the interpretability of anomalies in climate models and advancing our understanding of Arctic melt dynamics. The Arctic and Antarctic ice sheets are experiencing rapid surface melting and increased…

Machine Learning · Computer Science 2025-02-12 Tolulope Ale , Nicole-Jeanne Schlegel , Vandana P. Janeja

We provide another look at the statistical calibration problem in computer models. This viewpoint is inspired by two overarching practical considerations of computer models: (i) many computer models are inadequate for perfectly modeling…

Methodology · Statistics 2018-09-26 Xiaowu Dai , Peter Chien

We study the high-dimensional linear regression problem with categorical predictors that have many levels. We propose a new estimation approach, which performs model compression via two mechanisms by simultaneously encouraging (a)…

Methodology · Statistics 2026-03-30 Kayhan Behdin , Riade Benbaki , Peter Radchenko , Rahul Mazumder

Atmospheric clouds exhibit complex three-dimensional structure and microphysical details that are poorly constrained by the predominantly two-dimensional satellite observations available at global scales. This mismatch complicates…

Atmospheric and Oceanic Physics · Physics 2026-04-13 Emily K. deJong , Nipun Gunawardena , Kevin Smalley , Hassan Beydoun , Peter Caldwell

The construction of computer models (mathematical models implemented in computer codes), with respect to observed phenomena, is usually undertaken by building different variants depending on modeller sensibility, and choosing the one…

Methodology · Statistics 2018-03-28 Filippo Monari

The availability of reliable, high-resolution climate and weather data is important to inform long-term decisions on climate adaptation and mitigation and to guide rapid responses to extreme events. Forecasting models are limited by…

Accurate, high-resolution projections of the Greenland ice sheet's surface mass balance (SMB) and surface temperature are essential for understanding future sea-level rise, yet current approaches are either computationally demanding or…

Geophysics · Physics 2026-04-15 Nils Bochow , Philipp Hess , Alexander Robinson

Understanding and forecasting precipitation events in the Arctic maritime environments, such as Bear Island and Ny-{\AA}lesund, is crucial for assessing climate risk and developing early warning systems in vulnerable marine regions. This…

We present a new method for high-dimensional linear regression when a scale parameter of the additive errors is unknown. The proposed estimator is based on a penalized Huber $M$-estimator, for which theoretical results on estimation error…

Statistics Theory · Mathematics 2018-11-07 Po-Ling Loh

The search for refining 3D LiDAR data has attracted growing interest motivated by recent techniques such as supervised learning or generative model-based methods. Existing approaches have shown the possibilities for using diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Sander Elias Magnussen Helgesen , Kazuto Nakashima , Jim Tørresen , Ryo Kurazume

LiDAR-camera calibration is a precondition for many heterogeneous systems that fuse data from LiDAR and camera. However, the constraint from common field of view and the requirement for strict time synchronization make the calibration a…

Robotics · Computer Science 2019-07-31 Bo Fu , Yue Wang , Xiaqing Ding , Yanmei Jiao , Li Tang , Rong Xiong

High-dimensional astronomical data cubes provide a wealth of spectral and structural information that can be used to study astrophysical and chemical processes. The complexity and sheer size of these datasets pose significant challenges in…

Instrumentation and Methods for Astrophysics · Physics 2025-12-18 Haley N. Scolati , Ryan A. Loomis , Anthony J. Remijan , Kin Long Kelvin Lee

Advanced 3D metrology technologies such as Coordinate Measuring Machine (CMM) and laser 3D scanners have facilitated the collection of massive point cloud data, beneficial for process monitoring, control and optimization. However, due to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Hao Yan , Kamran Paynabar , Massimo Pacella

We study model-agnostic post-hoc calibration methods intended to improve probabilistic predictions in supervised binary classification on real i.i.d. tabular data, with particular emphasis on conformal and Venn-based approaches that provide…

Machine Learning · Computer Science 2026-01-29 Valery Manokhin , Daniel Grønhaug

Calibration is an essential prerequisite for the accurate data fusion of LiDAR and camera sensors. Traditional calibration techniques often require specific targets or suitable scenes to obtain reliable 2D-3D correspondences. To tackle the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-29 Shujuan Huang , Chunyu Lin , Yao Zhao