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We develop a Bayesian approach to estimate weight matrices in spatial autoregressive (or spatial lag) models. Datasets in regional economic literature are typically characterized by a limited number of time periods T relative to spatial…

Econometrics · Economics 2022-08-03 Tamás Krisztin , Philipp Piribauer

The problem of guaranteed parameter estimation (GPE) consists in enclosing the set of all possible parameter values, such that the model predictions match the corresponding measurements within prescribed error bounds. One of the bottlenecks…

Numerical Analysis · Mathematics 2018-10-30 Junyan Su , Yanlin Zha , Kai Wang , Mario E. Villanueva , Radoslav Paulen , Boris Houska

Information gathering algorithms play a key role in unlocking the potential of robots for efficient data collection in a wide range of applications. However, most existing strategies neglect the fundamental problem of the robot pose…

Robotics · Computer Science 2019-12-17 Marija Popovic , Teresa Vidal-Calleja , Jen Jen Chung , Juan Nieto , Roland Siegwart

In high-stakes risk prediction, quantifying uncertainty through interval-valued predictions is essential for reliable decision-making. However, standard evaluation tools like the receiver operating characteristic (ROC) curve and the area…

Machine Learning · Computer Science 2026-02-05 Yuqi Li , Matthew M. Engelhard

Accurate precipitation estimates at individual locations are crucial for weather forecasting and spatial analysis. This study presents a paradigm shift by leveraging Deep Neural Networks (DNNs) to surpass traditional methods like Kriging…

The plurigaussian model is particularly suited to describe categorical regionalized variables. Starting from a simple principle, the thresh-olding of one or several Gaussian random fields (GRFs) to obtain categories, the plurigaussian model…

Statistics Theory · Mathematics 2015-10-19 Nicolas Desassis , Didier Renard , Hélène Beucher , Sylvain Petiteau , Xavier Freulon

In this work, a fully nonparametric geostatistical approach to estimate threshold exceeding probabilities is proposed. To estimate the large-scale variability (spatial trend) of the process, the nonparametric local linear regression…

We develop a unified framework for distributed inference, semantic communication, and exploration in spatial networks by integrating stochastic geometry with information geometry - a direction that has not been explored in prior literature.…

Information Theory · Computer Science 2025-08-26 Gourab Ghatak

Accurate platform localization is an integral component of most robotic systems. As these robotic systems become more ubiquitous, it is necessary to develop robust state estimation algorithms that are able to withstand novel and…

Robotics · Computer Science 2019-10-15 Ryan M. Watson , Jason N. Gross , Clark N. Taylor , Robert C. Leishman

Kriging-based surrogate models have become very popular during the last decades to approximate a computer code output from few simulations. In practical applications, it is very common to sequentially add new simulations to obtain more…

Statistics Theory · Mathematics 2012-10-31 Loic Le Gratiet , Claire Cannamela

Spatial statistics is a growing discipline providing important analytical techniques in a wide range of disciplines in the natural and social sciences. In the R package GWmodel, we introduce techniques from a particular branch of spatial…

Applications · Statistics 2014-03-18 Isabella Gollini , Binbin Lu , Martin Charlton , Christopher Brunsdon , Paul Harris

Multiple systems estimation strategies have recently been applied to quantify hard-to-reach populations, particularly when estimating the number of victims of human trafficking and modern slavery. In such contexts, it is not uncommon to see…

Methodology · Statistics 2020-03-06 Lax Chan , Bernard W. Silverman , Kyle Vincent

For discrete-valued time series, predictive inference cannot be implemented through the construction of prediction intervals to some predetermined coverage level, as this is the case for real-valued time series. To address this problem, we…

Methodology · Statistics 2025-07-23 Maxime Faymonville , Carsten Jentsch , Efstathios Paparoditis

Contour maps are widely used to display estimates of spatial fields. Instead of showing the estimated field, a contour map only shows a fixed number of contour lines for different levels. However, despite the ubiquitous use of these maps,…

Methodology · Statistics 2016-07-11 David Bolin , Finn Lindgren

Whereas confidence intervals are used to assess uncertainty due to unmeasured individuals, confounding intervals can be used to assess uncertainty due to unmeasured attributes. Previously, we have introduced a methodology for computing…

Methodology · Statistics 2025-08-13 Brian Knaeble , R Mitchell Hughes

Unbiased assessment of the predictivity of models learnt by supervised machine-learning methods requires knowledge of the learned function over a reserved test set (not used by the learning algorithm). The quality of the assessment depends,…

Statistics Theory · Mathematics 2022-07-11 Elias Fekhari , Bertrand Iooss , Joseph Muré , Luc Pronzato , Maria-João Rendas

Score matching is a vital tool for learning the distribution of data with applications across many areas including diffusion processes, energy based modelling, and graphical model estimation. Despite all these applications, little work…

Machine Learning · Statistics 2025-06-03 Josh Givens , Song Liu , Henry W J Reeve

As the use of automotive radar increases, performance limitations associated with radar-to-radar interference will become more significant. In this paper we employ tools from stochastic geometry to characterize the statistics of radar…

Information Theory · Computer Science 2016-07-11 Akram Al-Hourani , Robin J. Evans , Sithamparanathan Kandeepan , Bill Moran , Hamid Eltom

A common issue when analyzing real-world complex systems is that the interactions between the elements often change over time: this makes it difficult to find optimal models that describe this evolution and that can be estimated from data,…

Statistical Finance · Quantitative Finance 2021-08-04 Carlo Campajola , Domenico Di Gangi , Fabrizio Lillo , Daniele Tantari

Large computer codes are widely used in engineering to study physical systems. Nevertheless, simulations can sometimes be time-consuming. In this case, an approximation of the code input/output relation is made using a metamodel. Actually,…

Statistics Theory · Mathematics 2012-06-01 Loic Le Gratiet
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