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We review the class of continuous latent space (statistical) models for network data, paying particular attention to the role of the geometry of the latent space. In these models, the presence/absence of network dyadic ties are assumed to…

Methodology · Statistics 2019-03-27 Anna L. Smith , Dena M. Asta , Catherine A. Calder

An important aspect of modeling spatially-referenced data is appropriately specifying the covariance function of the random field. A practitioner working with spatial data is presented a number of choices regarding the structure of the…

Methodology · Statistics 2015-11-06 Zachary D. Weller , Jennifer A. Hoeting

In the analysis of multivariate spatial and univariate spatio-temporal data, it is commonly recognized that asymmetric dependence may exist, which can be addressed using an asymmetric (matrix or space-time, respectively) covariance function…

Methodology · Statistics 2026-01-29 Drew Yarger

Geographical phenomena fall into two categories: scaleful phenomena and scale-free phenomena. The former bears characteristic scales, and the latter has no characteristic scale. The conventional quantitative and mathematical methods can…

Physics and Society · Physics 2023-08-09 Yanguang Chen

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

Methodology · Statistics 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

In this contribution a practical approach to determine and store position dependent parameters is presented. These parameters can be obtained, among others, using experimental results or expert knowledge and are stored in 'Information…

Computational Engineering, Finance, and Science · Computer Science 2013-12-16 Benjamin wilking , Daniel Meissner , Stephan Reuter , Klaus Dietmayer

With the acceleration of urbanization, traffic forecasting has become an essential role in smart city construction. In the context of spatio-temporal prediction, the key lies in how to model the dependencies of sensors. However, existing…

Artificial Intelligence · Computer Science 2023-09-21 Qian Ma , Zijian Zhang , Xiangyu Zhao , Haoliang Li , Hongwei Zhao , Yiqi Wang , Zitao Liu , Wanyu Wang

Landscapes are meaningful ecological units that strongly depend on the environmental conditions. Such dependencies between landscapes and the environment have been noted since the beginning of Earth sciences and cast into conceptual models…

Computer Vision and Pattern Recognition · Computer Science 2019-09-27 Christian Requena-Mesa , Markus Reichstein , Miguel Mahecha , Basil Kraft , Joachim Denzler

A classical problem of statistical inference is the valid specification of a model that can account for the statistical dependencies between observations when the true structure is dense, intractable, or unknown. To address this problem, a…

Statistics Theory · Mathematics 2023-10-19 Shane Sparkes , Lu Zhang

Mechanistic statistical models are commonly used to study the flow of biological processes. For example, in landscape genetics, the aim is to infer spatial mechanisms that govern gene flow in populations. Existing statistical approaches in…

Methodology · Statistics 2024-06-04 Michael R Schwob , Mevin B Hooten , Vagheesh Narasimhan

In modeling spatial processes, a second-order stationarity assumption is often made. However, for spatial data observed on a vast domain, the covariance function often varies over space, leading to a heterogeneous spatial dependence…

Methodology · Statistics 2021-02-09 Ghulam A. Qadir , Ying Sun , Sebastian Kurtek

Due to insufficient local area information, numerical weather prediction (NWP) may yield biases for specific areas. Previous studies correct biases mainly by employing handcrafted features or applying data-driven methods intuitively,…

Machine Learning · Computer Science 2024-06-12 Binqing Wu , Weiqi Chen , Wengwei Wang , Bingqing Peng , Liang Sun , Ling Chen

To obtain a probabilistic model for a dependent variable based on some set of explanatory variables, a distributional approach is often adopted where the parameters of the distribution are linked to regressors. In many classical models this…

Methodology · Statistics 2020-01-14 Lisa Schlosser , Torsten Hothorn , Reto Stauffer , Achim Zeileis

Many datasets nowadays contain links between geographic locations and natural language texts. These links can be geotags, such as geotagged tweets or geotagged Wikipedia pages, in which location coordinates are explicitly attached to texts.…

Computation and Language · Computer Science 2018-09-18 Yingjie Hu

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

Methodology · Statistics 2015-09-15 Mark D. Risser , Catherine A. Calder

Spatial prediction is a fundamental task in geography. In recent years, with advances in geospatial artificial intelligence (GeoAI), numerous models have been developed to improve the accuracy of geographic variable predictions. Beyond…

Machine Learning · Statistics 2025-04-29 Xiayin Lou , Peng Luo , Liqiu Meng

Gaussian graphical models represent the backbone of the statistical toolbox for analyzing continuous multivariate systems. However, due to the intrinsic properties of the multivariate normal distribution, use of this model family may hide…

Statistics Theory · Mathematics 2014-09-09 Henrik Nyman , Johan Pensar , Jukka Corander

In this paper we study networks of nodes characterised by binary traits that change both endogenously and through nearest-neighbour interaction. Our analytical results show that those traits can be ranked according to the noisiness of their…

Information Geometric Causal Inference (IGCI) is a new approach to distinguish between cause and effect for two variables. It is based on an independence assumption between input distribution and causal mechanism that can be phrased in…

Machine Learning · Statistics 2014-02-12 Dominik Janzing , Bastian Steudel , Naji Shajarisales , Bernhard Schölkopf

Driven by an increasing prevalence of trackers, ever more IoT sensors, and the declining cost of computing power, geospatial information has come to play a pivotal role in contemporary predictive models. While enhancing prognostic…

Machine Learning · Computer Science 2024-01-30 Agathe Fernandes Machado , François Hu , Philipp Ratz , Ewen Gallic , Arthur Charpentier