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Spatial ecological networks are widely used to model interactions between georeferenced biological entities (e.g., populations or communities). The analysis of such data often leads to a two-step approach where groups containing similar…

Applications · Statistics 2014-02-24 Vincent Miele , Franck Picard , Stéphane Dray

Analyzing massive spatial datasets using Gaussian process model poses computational challenges. This is a problem prevailing heavily in applications such as environmental modeling, ecology, forestry and environmental heath. We present a…

Methodology · Statistics 2021-12-07 Suman Majumder , Yawen Guan , Brian J. Reich , Arvind K. Saibaba

In climate studies, detecting spatial patterns that largely deviate from the sample mean still remains a statistical challenge. Although a Principal Component Analysis (PCA), or equivalently a Empirical Orthogonal Functions (EOF)…

Statistics Theory · Mathematics 2020-01-29 Alberto Bernacchia , Philippe Naveau

Moving horizon estimation (MHE) is a widely studied state estimation approach in several practical applications. In the MHE problem, the state estimates are obtained via the solution of an approximated nonlinear optimization problem.…

Optimization and Control · Mathematics 2023-06-26 Tianchen Liu , Kushal Chakrabarti , Nikhil Chopra

Geospatial analysis is very much dominated by a Gaussian way of thinking, which assumes that things in the world can be characterized by a well-defined mean, i.e., things are more or less similar in size. However, this assumption is not…

Adaptation and Self-Organizing Systems · Physics 2015-02-23 Bin Jiang

Statistical postprocessing techniques are commonly used to improve the skill of ensembles of numerical weather forecasts. This paper considers spatial extensions of the well-established nonhomogeneous Gaussian regression (NGR)…

Applications · Statistics 2015-06-22 Kira Feldmann , Michael Scheuerer , Thordis L. Thorarinsdottir

We initiate the study of sparse recovery problems under the Earth-Mover Distance (EMD). Specifically, we design a distribution over m x n matrices A such that for any x, given Ax, we can recover a k-sparse approximation to x under the EMD…

Data Structures and Algorithms · Computer Science 2012-10-12 Piotr Indyk , Eric Price

In this paper, we further investigate the problem of selecting a set of design points for universal kriging, which is a widely used technique for spatial data analysis. Our goal is to select the design points in order to make simultaneous…

Methodology · Statistics 2024-01-18 Helmut Waldl , Werner G. Müller , Paula Camelia Trandafir

Uncertainty is an inherent characteristic of biological and geospatial data which is almost made by measurement error in the observed values of the quantity of interest. Ignoring measurement error can lead to biased estimates and inflated…

Applications · Statistics 2018-11-16 Vahid Tadayon

As various types of crime continue to threaten public safety and economic development, predicting the occurrence of multiple types of crimes becomes increasingly vital for effective prevention measures. Although extensive efforts have been…

Machine Learning · Computer Science 2024-09-25 Ziyang Wu , Fan Liu , Jindong Han , Yuxuan Liang , Hao Liu

GIS-based Multi-Criteria Decision Analysis is a well-known decision support tool that can be used in a wide variety of contexts. It is particularly useful for territorial planning in situations where several actors with different, and…

Applications · Statistics 2020-07-07 Olivier Billaud , Maxence Soubeyrand , Sandra Luque , Maxime Lenormand

We introduce a goal-oriented strategy for multiscale computations performed using the Multiscale Finite Element Method (MsFEM). In a previous work, we have shown how to use, in the MsFEM framework, the concept of Constitutive Relation Error…

Numerical Analysis · Mathematics 2019-08-02 Ludovic Chamoin , Frederic Legoll

It is the aim of this work provide a rigorous treatment concerning the formation of spatial rational expectations equlibria in a general class of spatial economic models under the effect of externalities, using techniques from the calculus…

Optimization and Control · Mathematics 2017-10-24 Filippo Santambrogio , A Xepapadeas , A Yannacopoulos

In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

Methodology · Statistics 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

Accurate yield forecasting is essential for making informed policies and long-term decisions for food security. Earth Observation (EO) data and machine learning algorithms play a key role in providing a comprehensive and timely view of crop…

Machine Learning · Computer Science 2023-06-09 Anh Nhat Nhu , Ritvik Sahajpal , Christina Justice , Inbal Becker-Reshef

Treatment effects in a wide range of economic, environmental, and epidemiological applications often vary across space, and understanding the heterogeneity of causal effects across space and outcome quantiles is a critical challenge in…

Methodology · Statistics 2025-09-03 Yan Gong , Reetam Majumder , Brian J. Reich , Raphaël Huser

A spatial co-location pattern represents a subset of spatial features whose instances are prevalently located together in a geographic space. Although many algorithms of mining spatial co-location pattern have been proposed, there are still…

Databases · Computer Science 2020-04-23 Xin Hu , Guoyin Wang , Jiangli Duan

Multimodal optimization requires finding many optima rather than merely keeping a diverse population. Yet most niching-based evolutionary algorithms rely on distances or density estimators without explicitly recovering the underlying…

Neural and Evolutionary Computing · Computer Science 2026-05-19 Meng Xiang , Pei Yan

$L_1$ regularized logistic regression has now become a workhorse of data mining and bioinformatics: it is widely used for many classification problems, particularly ones with many features. However, $L_1$ regularization typically selects…

Machine Learning · Statistics 2015-02-12 Zhe Liu

Data assimilation of observational data into full atmospheric states is essential for weather forecast model initialization. Recently, methods for deep generative data assimilation have been proposed which allow for using new input data…

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