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We introduce a flexible and scalable class of Bayesian geostatistical models for discrete data, based on the class of nearest neighbor mixture transition distribution processes (NNMP), referred to as discrete NNMP. The proposed class…

Methodology · Statistics 2022-03-04 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Evaluation metrics for prediction error, model selection and model averaging on space-time data are understudied and poorly understood. The absence of independent replication makes prediction ambiguous as a concept and renders evaluation…

Methodology · Statistics 2022-11-08 Gregory L. Watson , Colleen E. Reid , Michael Jerrett , Donatello Telesca

Accurately tracking and predicting behaviors of surrounding objects are key prerequisites for intelligent systems such as autonomous vehicles to achieve safe and high-quality decision making and motion planning. However, there still remain…

Robotics · Computer Science 2020-03-31 Jiachen Li , Wei Zhan , Yeping Hu , Masayoshi Tomizuka

Multivariant time series (MTS) data are usually incomplete in real scenarios, and imputing the incomplete MTS is practically important to facilitate various time series mining tasks. Recently, diffusion model-based MTS imputation methods…

Machine Learning · Computer Science 2024-05-24 S. Zhang , S. Wang , H. Miao , H. Chen , C. Fan , J. Zhang

There are many data sources available that report related variables of interest that are also referenced over geographic regions and time; however, there are relatively few general statistical methods that one can readily use that…

Methodology · Statistics 2014-09-05 Jonathan R. Bradley , Scott H. Holan , Christopher K. Wikle

Recordings of complex neural population responses provide a unique opportunity for advancing our understanding of neural information processing at multiple scales and improving performance of brain computer interfaces. However, most…

Neurons and Cognition · Quantitative Biology 2022-07-12 Lazaros Mitskopoulos , Theoklitos Amvrosiadis , Arno Onken

Downscaling aims to link the behaviour of the atmosphere at fine scales to properties measurable at coarser scales, and has the potential to provide high resolution information at a lower computational and storage cost than numerical…

Atmospheric and Oceanic Physics · Physics 2021-05-19 Rachel Prudden , Niall Robinson , Peter Challenor , Richard Everson

In geostatistics, Gaussian random fields are often used to model heterogeneities of soil or subsurface parameters. To give spatial approximations of these random fields, they are discretized. Then, different techniques of geostatistical…

Computation · Statistics 2021-03-25 Sebastian Reuschen , Fabian Jobst , Wolfgang Nowak

Soil moisture (SM) is a key state variable of the hydrological cycle, needed to monitor the effects of a changing climate on natural resources. Soil moisture is highly variable in space and time, presenting seasonalities, anomalies and…

Atmospheric and Oceanic Physics · Physics 2020-12-10 Diego Bueso , Maria Piles , Gustau Camps-Valls

Regular vine distributions which constitute a flexible class of multivariate dependence models are discussed. Since multivariate copulae constructed through pair-copula decompositions were introduced to the statistical community, interest…

Methodology · Statistics 2012-11-26 Jeffrey Dissmann , Eike Christian Brechmann , Claudia Czado , Dorota Kurowicka

Analyzing and utilizing spatiotemporal big data are essential for studies concerning climate change. However, such data are not fully integrated into climate models owing to limitations in statistical frameworks. Herein, we employ VARENN…

Machine Learning · Statistics 2019-07-24 Takeshi Ise , Yurika Oba

Nonstationary and non-Gaussian spatial data are common in various fields, including ecology (e.g., counts of animal species), epidemiology (e.g., disease incidence counts in susceptible regions), and environmental science (e.g.,…

Methodology · Statistics 2024-04-01 Remy MacDonald , Benjamin Seiyon Lee

Multi-view clustering (MVC) can explore common semantics from unsupervised views generated by different sources, and thus has been extensively used in applications of practical computer vision. Due to the spatio-temporal asynchronism,…

Artificial Intelligence · Computer Science 2023-10-31 Jiatai Wang , Zhiwei Xu , Xuewen Yang , Xin Wang

As global climate change intensifies, accurate weather forecasting has become increasingly important, affecting agriculture, energy management, environmental protection, and daily life. This study introduces a hybrid model combining…

Machine Learning · Computer Science 2024-10-22 Yuhao Gong , Yuchen Zhang , Fei Wang , Chi-Han Lee

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

Monitoring daily weather fields is critical for climate science, agriculture, and environmental planning, yet fully probabilistic spatio-temporal models become computationally prohibitive at continental scale. We present a case study on…

Applications · Statistics 2026-02-12 Tim Gyger , Reinhard Furrer , Fabio Sigrist

Spatial profiling technologies in biology, such as imaging mass cytometry (IMC) and spatial transcriptomics (ST), generate high-dimensional, multi-channel data with strong spatial alignment and complex inter-channel relationships.…

Machine Learning · Computer Science 2025-07-08 Haoran Zhang , Mingyuan Zhou , Wesley Tansey

We propose computationally efficient methods for estimating stationary multivariate spatial and spatial-temporal spectra from incomplete gridded data. The methods are iterative and rely on successive imputation of data and updating of model…

Methodology · Statistics 2018-11-06 Joseph Guinness

With the advance of the multi-media and multi-modal data, multi-view clustering (MVC) has drawn increasing attentions recently. In this field, one of the most crucial challenges is that the characteristics and qualities of different views…

Machine Learning · Computer Science 2021-04-20 Zongmo Huang , Yazhou Ren , Xiaorong Pu , Lifang He

Approaches for stochastic nonlinear model predictive control (SNMPC) typically make restrictive assumptions about the system dynamics and rely on approximations to characterize the evolution of the underlying uncertainty distributions. For…

Robotics · Computer Science 2023-09-14 Adam Polevoy , Marin Kobilarov , Joseph Moore