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Point pattern data often exhibit features such as abrupt changes, hotspots and spatially varying dependence in local intensity. Under a Poisson process framework, these correspond to discontinuities and nonstationarity in the underlying…

Methodology · Statistics 2025-07-24 Izabel Nolau , Flávio B. Gonçalves , Dani Gamerman

The common spatial pattern (CSP) approach is known as one of the most popular spatial filtering techniques for EEG classification in motor imagery (MI) based brain-computer interfaces (BCIs). However, it still suffers some drawbacks such as…

Signal Processing · Electrical Eng. & Systems 2023-03-13 Jinlong Dong , Milana Komosar , Johannes Vorwerk , Daniel Baumgarten , Jens Haueisen

Large spatial datasets with non-Gaussian responses are increasingly common in environmental monitoring, ecology, and remote sensing, yet scalable Bayesian inference for such data remains challenging. Markov chain Monte Carlo (MCMC) methods…

Methodology · Statistics 2025-12-02 Jin Hyung Lee , Ben Seiyon Lee

Reliable uncertainty quantification at unobserved spatial locations, especially in the presence of complex and heterogeneous datasets, remains a core challenge in spatial statistics. Traditional approaches like Kriging rely heavily on…

Machine Learning · Statistics 2025-02-18 Hanyang Jiang , Yao Xie

In this paper, we demonstrate that mobile manipulation policies utilizing a 3D latent map achieve stronger spatial and temporal reasoning than policies relying solely on images. We introduce Seeing the Bigger Picture (SBP), an end-to-end…

Robotics · Computer Science 2026-03-06 Sunghwan Kim , Woojeh Chung , Zhirui Dai , Dwait Bhatt , Arth Shukla , Hao Su , Yulun Tian , Nikolay Atanasov

Urban flow prediction is a classic spatial-temporal forecasting task that estimates the amount of future traffic flow for a given location. Though models represented by Spatial-Temporal Graph Neural Networks (STGNNs) have established…

Machine Learning · Computer Science 2024-12-10 Haiyang Jiang , Tong Chen , Wentao Zhang , Nguyen Quoc Viet Hung , Yuan Yuan , Yong Li , Lizhen Cui

Typical textual descriptions that accompany online videos are 'weak': i.e., they mention the main concepts in the video but not their corresponding spatio-temporal locations. The concepts in the description are typically heterogeneous…

Computer Vision and Pattern Recognition · Computer Science 2016-07-13 Sohil Shah , Kuldeep Kulkarni , Arijit Biswas , Ankit Gandhi , Om Deshmukh , Larry Davis

Statistical inference for spatial processes from partially realized or scattered data has seen voluminous developments in diverse areas ranging from environmental sciences to business and economics. Inference on the associated rates of…

Statistics Theory · Mathematics 2026-01-06 Didong Li , Aritra Halder , Sudipto Banerjee

We introduce a scalable Gaussian process (GP) framework with deep product kernels for data-driven learning of parametrized spatio-temporal fields over fixed or parameter-dependent domains. The proposed framework learns a continuous…

Machine Learning · Computer Science 2026-03-03 Srinath Dama , Prasanth B. Nair

A key challenge in spatial statistics is the analysis for massive spatially-referenced data sets. Such analyses often proceed from Gaussian process specifications that can produce rich and robust inference, but involve dense covariance…

Methodology · Statistics 2019-07-25 Shinichiro Shirota , Andrew O. Finley , Bruce D. Cook , Sudipto Banerjee

Spatial stochastic models have been much used for performance analysis of wireless communication networks. This is due to the fact that the performance of wireless networks depends on the spatial configuration of wireless nodes and the…

Information Theory · Computer Science 2016-06-10 Naoto Miyoshi , Tomoyuki Shirai

Spatial and spatio-temporal single-structure point process models are widely used in epidemiology, biology, ecology, seismology... . However, most natural phenomena present multiple interaction structure or exhibit dependence at multiple…

Methodology · Statistics 2020-07-07 Morteza Raeisi , Florent Bonneu , Edith Gabriel

Geographic Information Systems (GIS) and related technologies have generated substantial interest among statisticians with regard to scalable methodologies for analyzing large spatial datasets. A variety of scalable spatial process models…

Machine Learning · Statistics 2021-09-10 Sudipto Banerjee

Gaussian graphical models are widely used to infer dependence structures. Bayesian methods are appealing to quantify uncertainty associated with structural learning, i.e., the plausibility of conditional independence statements given the…

Methodology · Statistics 2025-11-05 Deborah Sulem , Jack Jewson , David Rossell

We develop stochastic mixed finite element methods for spatially adaptive simulations of fluid-structure interactions when subject to thermal fluctuations. To account for thermal fluctuations, we introduce a discrete fluctuation-dissipation…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Pat Plunkett , Jon Hu , Chris Siefert , Paul J. Atzberger

We study the spatio-temporal prediction problem and introduce a novel point-process-based prediction algorithm. Spatio-temporal prediction is extensively studied in Machine Learning literature due to its critical real-life applications such…

Machine Learning · Statistics 2021-03-17 Oguzhan Karaahmetoglu , Suleyman S. Kozat

Spatially referenced data are increasingly available thanks to the development of modern GPS technology. They also provide rich opportunities for spatial analytics in the field of marketing science. Our main interest is to propose a new…

Applications · Statistics 2018-11-27 Won Chang , Sunghoon Kim , Heewon Chae

We argue the case for Gaussian Belief Propagation (GBP) as a strong algorithmic framework for the distributed, generic and incremental probabilistic estimation we need in Spatial AI as we aim at high performance smart robots and devices…

Artificial Intelligence · Computer Science 2022-11-08 Andrew J. Davison , Joseph Ortiz

Many scientific applications involve mixed spatially indexed outcomes of heterogeneous types that are driven by shared latent mechanisms. Modeling such data is challenging due to complex, nonlinear, and potentially nonstationary spatial…

Methodology · Statistics 2026-03-10 Yeseul Jeon , Kyeong Eun Lee , Joon Jin Song

With intelligent room-side sensing and service robots widely deployed, human motion prediction (HMP) is essential for safe, proactive assistance. However, many existing HMP methods either produce a single, deterministic forecast that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Junqiao Fan , Pengfei Liu , Haocong Rao