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Gaussian Process (GP) regression is a powerful nonparametric Bayesian framework, but its performance depends critically on the choice of covariance kernel. Selecting an appropriate kernel is therefore central to model quality, yet remains…

Machine Learning · Computer Science 2026-01-14 Md Shafiqul Islam , Shakti Prasad Padhy , Douglas Allaire , Raymundo Arróyave

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

LiDAR-based 3D point cloud recognition has been proven beneficial in various applications. However, the sparsity and varying density pose a significant challenge in capturing intricate details of objects, particularly for medium-range and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Zaipeng Duan , Xuzhong Hu , Pei An , Jie Ma

Bayesian inference for neural networks, or Bayesian deep learning, has the potential to provide well-calibrated predictions with quantified uncertainty and robustness. However, the main hurdle for Bayesian deep learning is its computational…

Machine Learning · Statistics 2023-09-07 Sanket Jantre , Nathan M. Urban , Xiaoning Qian , Byung-Jun Yoon

Accurate parking availability prediction is critical for intelligent transportation systems, but real-world deployments often face data sparsity, noise, and unpredictable changes. Addressing these challenges requires models that are not…

Machine Learning · Computer Science 2026-03-31 Alireza Nezhadettehad , Arkady Zaslavsky , Abdur Rakib , Seng W. Loke

Occupancy prediction, aiming at predicting the occupancy status within voxelized 3D environment, is quickly gaining momentum within the autonomous driving community. Mainstream occupancy prediction works first discretize the 3D environment…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Jiabao Wang , Zhaojiang Liu , Qiang Meng , Liujiang Yan , Ke Wang , Jie Yang , Wei Liu , Qibin Hou , Ming-Ming Cheng

Weakly supervised semantic segmentation (WSSS) models relying on class activation maps (CAMs) have achieved desirable performance comparing to the non-CAMs-based counterparts. However, to guarantee WSSS task feasible, we need to generate…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Tao Chen , Yazhou Yao , Jinhui Tang

We are studying the problem of estimating density in a wide range of metric spaces, including the Euclidean space, the sphere, the ball, and various Riemannian manifolds. Our framework involves a metric space with a doubling measure and a…

Statistics Theory · Mathematics 2023-04-04 Galatia Cleanthous , Athanasios G. Georgiadis , Philip A. White

Kernel smoothing is a highly flexible and popular approach for estimation of probability density and intensity functions of continuous spatial data. In this role it also forms an integral part of estimation of functionals such as the…

Methodology · Statistics 2017-07-24 Tilman M. Davies , Jonathan C. Marshall , Martin L. Hazelton

Normative modeling enables individualized characterization of structural brain deviations by evaluating subjects against a reference population rather than a group average. Most existing implementations treat brain regions independently and…

Methodology · Statistics 2026-05-19 J. T. Korley

Discrete mixture models are one of the most successful approaches for density estimation. Under a Bayesian nonparametric framework, Dirichlet process location-scale mixture of Gaussian kernels is the golden standard, both having nice…

Methodology · Statistics 2013-12-02 Antonio Canale , Bruno Scarpa

3D semantic occupancy prediction has emerged as a critical perception task for autonomous driving due to its ability to offer voxel-level semantic and geometric understanding of the environment. However, such a refined representation for…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Hanlin Wu , Pengfei Lin , Ehsan Javanmardi , Naren Bao , Bo Qian , Hao Si , Manabu Tsukada

Semantic occupancy perception is essential for autonomous driving, as automated vehicles require a fine-grained perception of the 3D urban structures. However, existing relevant benchmarks lack diversity in urban scenes, and they only…

Computer Vision and Pattern Recognition · Computer Science 2023-03-08 Xiaofeng Wang , Zheng Zhu , Wenbo Xu , Yunpeng Zhang , Yi Wei , Xu Chi , Yun Ye , Dalong Du , Jiwen Lu , Xingang Wang

Inference in popular nonparametric Bayesian models typically relies on sampling or other approximations. This paper presents a general methodology for constructing novel tractable nonparametric Bayesian methods by applying the kernel trick…

Machine Learning · Statistics 2011-08-15 Ferenc Huszár , Simon Lacoste-Julien

Open-vocabulary 3D scene understanding presents a significant challenge in computer vision, with wide-ranging applications in embodied agents and augmented reality systems. Existing methods adopt neurel rendering methods as 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-08-26 Jun Guo , Xiaojian Ma , Yue Fan , Huaping Liu , Qing Li

The aim of this paper is to explore and develop advanced spatial Bayesian assessment methods and techniques for land use modeling. The paper provides a comprehensive guide for assessing additional informational entropy value of model…

Methodology · Statistics 2008-06-17 Kostas Alexandridis , Bryan C. Pijanowski

The Gaussian kernel and its traditional normalizations (e.g., row-stochastic) are popular approaches for assessing similarities between data points. Yet, they can be inaccurate under high-dimensional noise, especially if the noise magnitude…

Statistics Theory · Mathematics 2023-07-12 Boris Landa , Xiuyuan Cheng

In environmental studies, realistic simulations are essential for understanding complex systems. Statistical emulation with Gaussian processes (GPs) in functional data models have become a standard tool for this purpose. Traditional…

Applications · Statistics 2024-09-26 R. Jacob Andros , Rajarshi Guhaniyogi , Devin Francom , Donatella Pasqualini

Robots are required to not only learn spatial concepts autonomously but also utilize such knowledge for various tasks in a domestic environment. Spatial concept represents a multimodal place category acquired from the robot's spatial…

Robotics · Computer Science 2020-09-22 Akira Taniguchi , Yoshinobu Hagiwara , Tadahiro Taniguchi , Tetsunari Inamura

While the study of a single network is well-established, technological advances now allow for the collection of multiple networks with relative ease. Increasingly, anywhere from several to thousands of networks can be created from brain…

Applications · Statistics 2021-01-14 Nathaniel Josephs , Lizhen Lin , Steven Rosenberg , Eric D. Kolaczyk