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Distributed systems have been widely used in practice to accomplish data analysis tasks of huge scales. In this work, we target on the estimation problem of generalized linear models on a distributed system with nonrandomly distributed…

Methodology · Statistics 2020-04-07 Feifei Wang , Danyang Huang , Yingqiu Zhu , Hansheng Wang

Gaussian processes (GPs) are a popular class of Bayesian nonparametric models, but its training can be computationally burdensome for massive training datasets. While there has been notable work on scaling up these models for big data,…

Methodology · Statistics 2023-11-16 Kevin Li , Simon Mak

Gaussian Processes (GPs) have been widely used in machine learning to model distributions over functions, with applications including multi-modal regression, time-series prediction, and few-shot learning. GPs are particularly useful in the…

Locally weighted regression was created as a nonparametric learning method that is computationally efficient, can learn from very large amounts of data and add data incrementally. An interesting feature of locally weighted regression is…

Machine Learning · Computer Science 2014-02-05 Franziska Meier , Philipp Hennig , Stefan Schaal

Gradient compression alleviates expensive communication in distributed deep learning by sending fewer values and its corresponding indices, typically via Allgather (AG). Training with high compression ratio (CR) achieves high accuracy like…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-30 Sahil Tyagi , Martin Swany

Methods for distributed optimization have received significant attention in recent years owing to their wide applicability in various domains. A distributed optimization method typically consists of two key components: communication and…

Optimization and Control · Mathematics 2018-06-04 Albert S. Berahas , Raghu Bollapragada , Nitish Shirish Keskar , Ermin Wei

We present GPR_calculator, a package based on Python and C++ programming languages to build an on-the-fly surrogate model using Gaussian Process Regression (GPR) to approximate expensive electronic structure calculations. The key idea is to…

Materials Science · Physics 2026-01-30 Isaac Onyango , Byungkyun Kang , Qiang Zhu

This paper introduces a new sparse spatio-temporal structured Gaussian process regression framework for online and offline Bayesian inference. This is the first framework that gives a time-evolving representation of the interdependencies…

Machine Learning · Statistics 2018-08-01 Danil Kuzin , Olga Isupova , Lyudmila Mihaylova

Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are nonparametric probabilistic models…

In this paper, we investigate federated contextual linear bandit learning within a wireless system that comprises a server and multiple devices. Each device interacts with the environment, selects an action based on the received reward, and…

Machine Learning · Computer Science 2023-08-29 Jiali Wang , Yuning Jiang , Xin Liu , Ting Wang , Yuanming Shi

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

In this paper, we introduce a novel theoretical framework for Gaussian process regression error analysis, leveraging a function-space decomposition. Based on this framework, we develop a weighted Jacobi iterative method that utilizes…

Numerical Analysis · Mathematics 2026-02-27 Tiantian Sun , Juan Zhang

Gaussian process regression is a frequently used statistical method for flexible yet fully probabilistic non-linear regression modeling. A common obstacle is its computational complexity which scales poorly with the number of observations.…

Methodology · Statistics 2026-03-10 Adam Gorm Hoffmann , Claus Thorn Ekstrøm , Andreas Kryger Jensen

Federated learning (FL) is a promising technique that enables many edge devices to train a machine learning model collaboratively in wireless networks. By exploiting the superposition nature of wireless waveforms, over-the-air computation…

Signal Processing · Electrical Eng. & Systems 2020-11-26 Naifu Zhang , Meixia Tao

Over-the-air computation (AirComp) provides a promising way to support ultrafast aggregation of distributed data. However, its performance cannot be guaranteed in long-distance transmission due to the distortion induced by the channel…

Signal Processing · Electrical Eng. & Systems 2021-01-26 Min Fu , Yong Zhou , Yuanming Shi , Ting Wang , Wei Chen

Gaussian processes (GPs) are Bayesian nonparametric generative models that provide interpretability of hyperparameters, admit closed-form expressions for training and inference, and are able to accurately represent uncertainty. To model…

Machine Learning · Statistics 2018-03-21 Gonzalo Rios , Felipe Tobar

Uncertainty Quantification (UQ) is essential for the reliable application of computational models in engineering and science. Among surrogate modeling techniques, Gaussian Process Regression (GPR) is particularly valuable for its…

Computation · Statistics 2025-12-15 Jinglai Li , Hongqiao Wang

Over-the-air computation (AirComp), which leverages the superposition property of wireless multiple-access channel (MAC) and the mathematical tool of function representation, has been considered as a promising technique for effective…

Information Theory · Computer Science 2024-10-30 Xin Zang , Wanchun Liu , Yonghui Li , Branka Vucetic

Gaussian process model for vector-valued function has been shown to be useful for multi-output prediction. The existing method for this model is to re-formulate the matrix-variate Gaussian distribution as a multivariate normal distribution.…

Machine Learning · Statistics 2020-05-05 Zexun Chen , Bo Wang , Alexander N. Gorban

While the analysis of airborne laser scanning (ALS) data often provides reliable estimates for certain forest stand attributes -- such as total volume or basal area -- there is still room for improvement, especially in estimating…

Applications · Statistics 2019-01-23 Petri Varvia , Timo Lähivaara , Matti Maltamo , Petteri Packalen , Aku Seppänen