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This paper develops a Bayesian continuous 3D semantic occupancy map from noisy point clouds by generalizing the Bayesian kernel inference model for building occupancy maps, a binary problem, to semantic maps, a multi-class problem. The…

Robotics · Computer Science 2020-01-28 Lu Gan , Ray Zhang , Jessy W. Grizzle , Ryan M. Eustice , Maani Ghaffari

Spatiotemporal datasets, which consist of spatially-referenced time series, are ubiquitous in diverse applications, such as air pollution monitoring, disease tracking, and cloud-demand forecasting. As the scale of modern datasets increases,…

Machine Learning · Computer Science 2024-11-28 Feras Saad , Jacob Burnim , Colin Carroll , Brian Patton , Urs Köster , Rif A. Saurous , Matthew Hoffman

Data-driven inference of the generative dynamics underlying a set of observed time series is of growing interest in machine learning and the natural sciences. In neuroscience, such methods promise to alleviate the need to handcraft models…

Machine Learning · Computer Science 2024-11-06 Eric Volkmann , Alena Brändle , Daniel Durstewitz , Georgia Koppe

This paper is concerned with variational and Bayesian approaches to neuro-electromagnetic inverse problems (EEG and MEG). The strong indeterminacy of these problems is tackled by introducing sparsity inducing regularization/priors in a…

Signal Processing · Electrical Eng. & Systems 2023-06-28 Samy Mokhtari , Jean-Michel Badier , Christian G. Bénar , Bruno Torrésani

Stacking excessive layers in DNN results in highly underdetermined system when training samples are limited, which is very common in medical applications. In this regard, we present a framework capable of deriving an efficient…

Machine Learning · Computer Science 2025-03-04 Seunghun Baek , Injun Choi , Mustafa Dere , Minjeong Kim , Guorong Wu , Won Hwa Kim

In recent years, disease mapping studies have become a routine application within geographical epidemiology and are typically analysed within a Bayesian hierarchical model formulation. A variety of model formulations for the latent level…

Methodology · Statistics 2016-01-07 Andrea Riebler , Sigrunn H. Sørbye , Daniel Simpson , Håvard Rue

Spatial transcriptomics is a modern sequencing technology that allows the measurement of the activity of thousands of genes in a tissue sample and map where the activity is occurring. This technology has enabled the study of the so-called…

Methodology · Statistics 2022-09-15 Andrea Sottosanti , Davide Risso

With continued advances in Geographic Information Systems and related computational technologies, statisticians are often required to analyze very large spatial datasets. This has generated substantial interest over the last decade, already…

Methodology · Statistics 2019-05-14 Lu Zhang , Abhirup Datta , Sudipto Banerjee

Today, state-of-the-art deep neural networks that process event-camera data first convert a temporal window of events into dense, grid-like input representations. As such, they exhibit poor generalizability when deployed at higher inference…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Nikola Zubić , Mathias Gehrig , Davide Scaramuzza

This study proposes coarse-to-fine spatial modeling (CFSM) as a scalable and machine learning-compatible alternative to conventional spatial process models. Unlike conventional covariance-based spatial models, CFSM represents spatial…

Accurate representation of the multiscale features in spatiotemporal physical systems using vision transformer (ViT) architectures requires extremely long, computationally prohibitive token sequences. To address this issue, we propose two…

Machine Learning · Computer Science 2024-12-31 Pei Zhang , M. Paul Laiu , Matthew Norman , Doug Stefanski , John Gounley

The characteristics and determinants of health and disease are often organised in space, reflecting our spatially extended nature. Understanding the influence of such factors requires models capable of capturing spatial relations. Though a…

Spatial statistics is concerned with the analysis of data that have spatial locations associated with them, and those locations are used to model statistical dependence between the data. The spatial data are treated as a single realisation…

Methodology · Statistics 2022-02-09 Noel Cressie , Matthew Sainsbury-Dale , Andrew Zammit-Mangion

Modeling with multidimensional arrays, or tensors, often presents a problem due to high dimensionality. In addition, these structures typically exhibit inherent sparsity, requiring the use of regularization methods to properly characterize…

Methodology · Statistics 2022-10-10 Daniel Spencer , Rajarshi Guhaniyogi , Russell Shinohara , Raquel Prado

This manuscript develops computationally efficient online learning for multivariate spatiotemporal models. The method relies on matrix-variate Gaussian distributions, dynamic linear models, and Bayesian predictive stacking to efficiently…

Methodology · Statistics 2026-02-10 Luca Presicce , Sudipto Banerjee

Inverse problems with spatiotemporal observations are ubiquitous in scientific studies and engineering applications. In these spatiotemporal inverse problems, observed multivariate time series are used to infer parameters of physical or…

Methodology · Statistics 2022-04-26 Shiwei Lan , Shuyi Li , Mirjeta Pasha

Existing Bayesian spatial priors for functional magnetic resonance imaging (fMRI) data correspond to stationary isotropic smoothing filters that may oversmooth at anatomical boundaries. We propose two anatomically informed Bayesian spatial…

Methodology · Statistics 2019-10-21 David Abramian , Per Sidén , Hans Knutsson , Mattias Villani , Anders Eklund

Quantitative modeling of post-transcriptional regulation process is a challenging problem in systems biology. A mechanical model of the regulatory process needs to be able to describe the available spatio-temporal protein concentration and…

Machine Learning · Statistics 2016-10-18 Mu Niu , Zhenwen Dai , Neil Lawrence , Kolja Becker

Spatial connectivity is an important consideration when modelling infectious disease data across a geographical region. Connectivity can arise for many reasons, including shared characteristics between regions, and human or vector movement.…

Methodology · Statistics 2022-06-06 Sophie A Lee , Theodoros Economou , Rachel Lowe

Color names based image representation is successfully used in person re-identification, due to the advantages of being compact, intuitively understandable as well as being robust to photometric variance. However, there exists the diversity…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 Yang Yang , Shengcai Liao , Zhen Lei , Stan Z. Li