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Sampling of physical fields with mobile sensor is an emerging area. In this context, this work introduces and proposes solutions to a fundamental question: can a spatial field be estimated from samples taken at unknown sampling locations?…

信息论 · 计算机科学 2017-07-12 Animesh Kumar

Bayesian methods are increasingly being applied to parameterize mechanistic process models used in environmental prediction and forecasting. In particular, models describing ecosystem dynamics with multiple states that are linear and…

应用统计 · 统计学 2021-10-19 John W. Smith , Leah R. Johnson , Robert Q. Thomas

Deep learning models frequently make incorrect predictions with high confidence when presented with test examples that are not well represented in their training dataset. We propose a novel and straightforward approach to estimate…

机器学习 · 计算机科学 2019-10-04 Tiago Ramalho , Miguel Miranda

We show how to enhance the redshift accuracy of surveys consisting of tracers with highly uncertain positions along the line of sight. Photometric surveys with redshift uncertainty delta_z ~ 0.03 can yield final redshift uncertainties of…

宇宙学与河外天体物理 · 物理学 2015-05-28 Jens Jasche , Benjamin D. Wandelt

A population quantity of interest in statistical shape analysis is the location of landmarks, which are points that aid in reconstructing and representing shapes of objects. We provide an automated, model-based approach to inferring…

应用统计 · 统计学 2017-10-16 Justin Strait , Oksana Chkrebtii , Sebastian Kurtek

Detection heterogeneity is inherent to ecological data, arising from factors such as varied terrain or weather conditions, inconsistent sampling effort, or heterogeneity of individuals themselves. Incorporating additional covariates into a…

应用统计 · 统计学 2021-08-27 Daniel Turek , Claudia Wehrhahn , Olivier Gimenez

Instance segmentation has witnessed promising advancements through deep neural network-based algorithms. However, these models often exhibit incorrect predictions with unwarranted confidence levels. Consequently, evaluating prediction…

计算机视觉与模式识别 · 计算机科学 2023-09-20 Qasim M. K. Siddiqui , Sebastian Starke , Peter Steinbach

Deep Learning is a consolidated, state-of-the-art Machine Learning tool to fit a function when provided with large data sets of examples. However, in regression tasks, the straightforward application of Deep Learning models provides a point…

机器学习 · 计算机科学 2018-07-25 Axel Brando , Jose A. Rodríguez-Serrano , Mauricio Ciprian , Roberto Maestre , Jordi Vitrià

We study the sampling of spatial fields using sensors that are location-unaware but deployed according to a known statistical distribution. It has been shown that uniformly distributed location-unaware sensors cannot infer bandlimited…

信息论 · 计算机科学 2016-12-01 Ankur Mallick , Animesh Kumar

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the…

计算金融 · 定量金融 2025-06-10 Hans Buehler , Blanka Horvath , Yannick Limmer , Thorsten Schmidt

We present an uncertainty quantification methodology for density estimation from Background Oriented Schlieren (BOS) measurements, in order to provide local, instantaneous, a-posteriori uncertainty bounds on each density measurement in the…

Capture-recapture methods aim to estimate the size of a closed population on the basis of multiple incomplete enumerations of individuals. In many applications, the individual probability of being recorded is heterogeneous in the…

统计方法学 · 统计学 2016-06-08 James E. Johndrow , Kristian Lum , Daniel Manrique-Vallier

Distance sampling is a widely used method for estimating wildlife population abundance. The fact that conventional distance sampling methods are partly design-based constrains the spatial resolution at which animal density can be estimated…

统计方法学 · 统计学 2017-06-23 Y. Yuan , F. E. Bachl , F. Lindgren , D. L. Brochers , J. B. Illian , S. T. Buckland , H. Rue , T. Gerrodette

Data assimilation, consisting in the combination of a dynamical model with a set of noisy and incomplete observations in order to infer the state of a system over time, involves uncertainty in most settings. Building upon an existing…

机器学习 · 计算机科学 2026-03-02 Anthony Frion , David S Greenberg

Current advances in next generation sequencing techniques have allowed researchers to conduct comprehensive research on microbiome and human diseases, with recent studies identifying associations between human microbiome and health outcomes…

统计方法学 · 统计学 2021-06-09 Konstantin Shestopaloff , Mei Dong , Fan Gao , Wei Xu

Citizen science biodiversity data present great opportunities for ecology and conservation across vast spatial and temporal scales. However, the opportunistic nature of these data lacks the sampling structure required by modeling…

机器学习 · 计算机科学 2025-04-15 Nahian Ahmed , Mark Roth , Tyler A. Hallman , W. Douglas Robinson , Rebecca A. Hutchinson

We study how sampling geometry contributes to uncertainty in modeling spatial geophysical observations as sampled random fields characterized by stationary, isotropic, parametric covariance functions. We incorporate the signature of…

统计方法学 · 统计学 2026-04-03 Olivia L. Walbert , Frederik J. Simons , Arthur P. Guillaumin , Sofia C. Olhede

Accurately knowing uncertainties in appearance-based gaze tracking is critical for ensuring reliable downstream applications. Due to the lack of individual uncertainty labels, current uncertainty-aware approaches adopt probabilistic models…

计算机视觉与模式识别 · 计算机科学 2026-03-13 Qiaojie Zheng , Jiucai Zhang , Xiaoli Zhang

We develop an algorithm to explore an environment to generate a measurement model for use in future localization tasks. Ergodic exploration with respect to the likelihood of a particular class of measurement (e.g., a contact detection…

机器人学 · 计算机科学 2018-08-29 Ian Abraham , Anastasia Mavrommati , Todd D. Murphey

Reliable probability estimation is of crucial importance in many real-world applications where there is inherent (aleatoric) uncertainty. Probability-estimation models are trained on observed outcomes (e.g. whether it has rained or not, or…