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This paper introduces warped Gaussian processes (WGP) regression in remote sensing applications. WGP models output observations as a parametric nonlinear transformation of a GP. The parameters of such prior model are then learned via…

Computer Vision and Pattern Recognition · Computer Science 2020-12-23 Anna Mateo-Sanchis , Jordi Muñoz-Marí , Adrián Pérez-Suay , Gustau Camps-Valls

Subspace-valued functions arise in a wide range of problems, including parametric reduced order modeling (PROM). In PROM, each parameter point can be associated with a subspace, which is used for Petrov-Galerkin projections of large system…

Statistics Theory · Mathematics 2021-07-13 Ruda Zhang , Simon Mak , David Dunson

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

Many datasets are in the form of tables of binned data. Performing regression on these data usually involves either reading off bin heights, ignoring data from neighbouring bins or interpolating between bins thus over or underestimating the…

Machine Learning · Statistics 2019-05-21 Michael Thomas Smith , Mauricio A Alvarez , Neil D Lawrence

In this paper, we unify popular non-rigid registration methods for point sets and surfaces under our general framework, GiNGR. GiNGR builds upon Gaussian Process Morphable Models (GPMM) and hence separates modeling the deformation prior…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Dennis Madsen , Jonathan Aellen , Andreas Morel-Forster , Thomas Vetter , Marcel Lüthi

Multi-agent mapping is a fundamentally important capability for autonomous robot task coordination and execution in complex environments. While successful algorithms have been proposed for mapping using individual platforms, cooperative…

Robotics · Computer Science 2021-10-14 James Di , Ehsan Zobeidi , Alec Koppel , Nikolay Atanasov

We propose DistGP: a multi-robot learning method for collaborative learning of a global function using only local experience and computation. We utilise a sparse Gaussian process (GP) model with a factorisation that mirrors the multi-robot…

Robotics · Computer Science 2026-03-10 Seth Nabarro , Mark van der Wilk , Andrew J. Davison

Over-the-air computation is a communication-efficient solution for federated learning (FL). In such a system, iterative procedure is performed: Local gradient of private loss function is updated, amplified and then transmitted by every…

Machine Learning · Computer Science 2023-09-06 Rongfei Fan , Xuming An , Shiyuan Zuo , Han Hu

Although geographically weighted Poisson regression (GWPR) is a popular regression for spatially indexed count data, its development is relatively limited compared to that found for linear geographically weighted regression (GWR), where…

We show that Gaussian process regression (GPR) allows representing multivariate functions with low-dimensional terms via kernel design. When using a kernel built with HDMR (High-dimensional model representation), one obtains a similar type…

Numerical Analysis · Mathematics 2023-01-27 Eita Sasaki , Manabu Ihara , Sergei Manzhos

We propose communication-efficient distributed estimation and inference methods for the transelliptical graphical model, a semiparametric extension of the elliptical distribution in the high dimensional regime. In detail, the proposed…

Machine Learning · Statistics 2016-12-30 Pan Xu , Lu Tian , Quanquan Gu

We study COMP-AMS, a distributed optimization framework based on gradient averaging and adaptive AMSGrad algorithm. Gradient compression with error feedback is applied to reduce the communication cost in the gradient transmission process.…

Machine Learning · Statistics 2022-05-12 Xiaoyun Li , Belhal Karimi , Ping Li

Gaussian process regression (GPR) is a non-parametric model that has been used in many real-world applications that involve sensitive personal data (e.g., healthcare, finance, etc.) from multiple data owners. To fully and securely exploit…

Cryptography and Security · Computer Science 2023-06-27 Jinglong Luo , Yehong Zhang , Jiaqi Zhang , Shuang Qin , Hui Wang , Yue Yu , Zenglin Xu

Ultra-fast wireless data aggregation (WDA) of distributed data has emerged as a critical design challenge in the ultra-densely deployed cellular internet of things network (CITN) due to limited spectral resources. Over-the-air computing…

Information Theory · Computer Science 2023-10-11 Ying Dong , Haonan Hu , Qiaoshou Liu , Tingwei Lv , Qianbin Chen , Jie Zhang

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

Computation · Statistics 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

Gaussian processes (GP) are a widely used model for regression problems in supervised machine learning. Implementation of GP regression typically requires $O(n^3)$ logic gates. We show that the quantum linear systems algorithm [Harrow et…

Quantum Physics · Physics 2019-05-29 Zhikuan Zhao , Jack K. Fitzsimons , Joseph F. Fitzsimons

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

Methodology · Statistics 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

In computational physics, machine learning has now emerged as a powerful complementary tool to explore efficiently candidate designs in engineering studies. Outputs in such supervised problems are signals defined on meshes, and a natural…

Machine Learning · Statistics 2025-03-11 Raphaël Carpintero Perez , Sébastien da Veiga , Josselin Garnier , Brian Staber

Non-conjugate Gaussian processes (NCGPs) define a flexible probabilistic framework to model categorical, ordinal and continuous data, and are widely used in practice. However, exact inference in NCGPs is prohibitively expensive for large…

Machine Learning · Computer Science 2025-04-18 Lukas Tatzel , Jonathan Wenger , Frank Schneider , Philipp Hennig

Deep Gaussian Processes (DGPs) are multi-layer, flexible extensions of Gaussian processes but their training remains challenging. Sparse approximations simplify the training but often require optimization over a large number of inducing…

Machine Learning · Statistics 2021-07-20 Ayush Jain , P. K. Srijith , Mohammad Emtiyaz Khan