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Many inferential tasks involve fitting models to observed data and predicting outcomes at new covariate values, requiring interpolation or extrapolation. Conventional methods select a single best-fitting model, discarding fits that were…

Methodology · Statistics 2026-01-01 Soonhong Cho , Doeun Kim , Chad Hazlett

In this paper we consider the problem of releasing a Gaussian Differentially Private (GDP) 3D human face. The human face is a complex structure with many features and inherently tied to one's identity. Protecting this data, in a formally…

Cryptography and Security · Computer Science 2025-04-16 Carlos Soto , Matthew Reimherr , Aleksandra Slavkovic , Mark Shriver

Bayesian model updating based on Gaussian Process (GP) models has received attention in recent years, which incorporates kernel-based GPs to provide enhanced fidelity response predictions. Although most kernel functions provide high fitting…

Existing 3D Gaussian Splatting simplification methods commonly use importance scores, such as blending weights or sensitivity, to identify redundant Gaussians. However, these scores are not driven by visual error metrics, often leading to…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Soonbin Lee , Yeong-Gyu Kim , Simon Sasse , Tomas M. Borges , Yago Sanchez , Eun-Seok Ryu , Thomas Schierl , Cornelius Hellge

Gaussian processes (GPs) are widely used as surrogate models for emulating computer code, which simulate complex physical phenomena. In many problems, additional boundary information (i.e., the behavior of the phenomena along input…

Methodology · Statistics 2019-08-26 Liang Ding , Simon Mak , C. F. Jeff Wu

We propose a robust method for estimating dynamic 3D curvilinear branching structure from monocular images. While 3D reconstruction from images has been widely studied, estimating thin structure has received less attention. This problem…

Computer Vision and Pattern Recognition · Computer Science 2016-08-16 Kyle Simek , Ravishankar Palanivelu , Kobus Barnard

This paper presents a framework for rigid point-set registration and merging using a robust continuous data representation. Our point-set representation is constructed by training a one-class support vector machine with a Gaussian radial…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Dylan Campbell , Lars Petersson

Despite the success of classical traffic flow (e.g., second-order macroscopic) models and data-driven (e.g., Machine Learning - ML) approaches in traffic state estimation, those approaches either require great efforts for parameter…

Machine Learning · Statistics 2022-03-22 Yun Yuan , Zhao Zhang , Xianfeng Terry Yang

Adaptive learning is necessary for non-stationary environments where the learning machine needs to forget past data distribution. Efficient algorithms require a compact model update to not grow in computational burden with the incoming data…

Machine Learning · Computer Science 2023-07-11 Vanessa Gómez-Verdejo , Emilio Parrado-Hernández , Manel Martínez-Ramón

Hearing Aid (HA) algorithms need to be tuned ("fitted") to match the impairment of each specific patient. The lack of a fundamental HA fitting theory is a strong contributing factor to an unsatisfying sound experience for about 20% of…

Machine Learning · Statistics 2016-09-07 Thijs van de Laar , Bert de Vries

In this paper we introduce a novel model for Gaussian process (GP) regression in the fully Bayesian setting. Motivated by the ideas of sparsification, localization and Bayesian additive modeling, our model is built around a recursive…

Statistics Theory · Mathematics 2022-06-06 Hengrui Luo , Giovanni Nattino , Matthew T. Pratola

Deep Gaussian processes (DGP) have appealing Bayesian properties, can handle variable-sized data, and learn deep features. Their limitation is that they do not scale well with the size of the data. Existing approaches address this using a…

Machine Learning · Computer Science 2019-05-20 Issam H. Laradji , Mark Schmidt , Vladimir Pavlovic , Minyoung Kim

Resource-efficient and robust validation of systems designed to measure a multi-dimensional parameter space is an unsolved problem as it would require millions of test permutations for comprehensive validation coverage. In the paper, an…

Applications · Statistics 2024-04-24 C. Bujard , E. Neufeld , M. Douglas , J. Wiart , N. Kuster

Survivors of childhood cancer need lifelong monitoring for side effects from radiotherapy. However, longitudinal data from routine monitoring is often infrequently and irregularly sampled, and subject to inaccuracies. Due to this,…

Gaussian processes (GPs) provide a framework for Bayesian inference that can offer principled uncertainty estimates for a large range of problems. For example, if we consider regression problems with Gaussian likelihoods, a GP model enjoys…

Machine Learning · Computer Science 2022-12-21 Felix Leibfried , Vincent Dutordoir , ST John , Nicolas Durrande

In recent years, 3D Gaussian Splatting (3D-GS)-based scene representation demonstrates significant potential in real-time rendering and training efficiency. However, most existing methods primarily focus on single-map reconstruction, while…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Shiyang Liu , Dianyi Yang , Yu Gao , Bohan Ren , Yi Yang , Mengyin Fu

Gaussian processes (GPs) are a mature and widely-used component of the ML toolbox. One of their desirable qualities is automatic hyperparameter selection, which allows for training without user intervention. However, in many realistic…

Machine Learning · Computer Science 2024-02-16 Sebastian W. Ober , Artem Artemev , Marcel Wagenländer , Rudolfs Grobins , Mark van der Wilk

Gaussian process (GP) methods have been widely studied recently, especially for large-scale systems with big data and even more extreme cases when data is sparse. Key advantages of these methods consist in: 1) the ability to provide…

Methodology · Statistics 2024-09-13 Chenyi Lyu , Xingchi Liu , Lyudmila Mihaylova

Differentiable rendering techniques have recently shown promising results for free-viewpoint video synthesis of characters. However, such methods, either Gaussian Splatting or neural implicit rendering, typically necessitate per-subject…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Boyao Zhou , Shunyuan Zheng , Hanzhang Tu , Ruizhi Shao , Boning Liu , Shengping Zhang , Liqiang Nie , Yebin Liu

Accurate human motion prediction with well-calibrated uncertainty is critical for safe human-robot collaboration (HRC), where robots must anticipate and react to human movements in real time. We propose a structured multitask variational…

Robotics · Computer Science 2026-03-10 Jinger Chong , Xiaotong Zhang , Kamal Youcef-Toumi