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In this paper, we investigate a class of approximate Gaussian processes (GP) obtained by taking a linear combination of compactly supported basis functions with the basis coefficients endowed with a dependent Gaussian prior distribution.…

统计理论 · 数学 2025-06-02 Jaehoan Kim , Anirban Bhattacharya , Debdeep Pati

Gaussian Processes (GPs) are a generic modelling tool for supervised learning. While they have been successfully applied on large datasets, their use in safety-critical applications is hindered by the lack of good performance guarantees. To…

机器学习 · 统计学 2019-08-27 David Reeb , Andreas Doerr , Sebastian Gerwinn , Barbara Rakitsch

Gaussian Processes (GPs) are Bayesian models that provide uncertainty estimates associated to the predictions made. They are also very flexible due to their non-parametric nature. Nevertheless, GPs suffer from poor scalability as the number…

机器学习 · 计算机科学 2021-07-16 Bahram Jafrasteh , Carlos Villacampa-Calvo , Daniel Hernández-Lobato

In this paper, we propose decentralized and scalable algorithms for Gaussian process (GP) training and prediction in multi-agent systems. To decentralize the implementation of GP training optimization algorithms, we employ the alternating…

机器学习 · 统计学 2022-03-08 George P. Kontoudis , Daniel J. Stilwell

Gaussian processes (GPs) have gained popularity as flexible machine learning models for regression and function approximation with an in-built method for uncertainty quantification. However, GPs suffer when the amount of training data is…

机器学习 · 统计学 2025-11-26 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

We introduce a scalable Gaussian process (GP) framework with deep product kernels for data-driven learning of parametrized spatio-temporal fields over fixed or parameter-dependent domains. The proposed framework learns a continuous…

机器学习 · 计算机科学 2026-03-03 Srinath Dama , Prasanth B. Nair

Flow-based generative models have shown an excellent ability to explicitly learn the probability density function of data via a sequence of invertible transformations. Yet, learning attentions in generative flows remains understudied, while…

机器学习 · 计算机科学 2022-04-01 Rhea Sanjay Sukthanker , Zhiwu Huang , Suryansh Kumar , Radu Timofte , Luc Van Gool

Training and inference in Gaussian processes (GPs) require solving linear systems with $n\times n$ kernel matrices. To address the prohibitive $\mathcal{O}(n^3)$ time complexity, recent work has employed fast iterative methods, like…

机器学习 · 计算机科学 2024-03-12 Kaiwen Wu , Jonathan Wenger , Haydn Jones , Geoff Pleiss , Jacob R. Gardner

Channel attention mechanisms have been commonly applied in many visual tasks for effective performance improvement. It is able to reinforce the informative channels as well as to suppress the useless channels. Recently, different channel…

机器学习 · 计算机科学 2021-08-11 Jiyang Xie , Dongliang Chang , Zhanyu Ma , Guoqiang Zhang , Jun Guo

Learning-based approaches are increasingly leveraged to manage and coordinate the operation of grid-edge resources in active power distribution networks. Among these, model-based techniques stand out for their superior data efficiency and…

系统与控制 · 电气工程与系统科学 2025-05-01 Daniel Glover , Parikshit Pareek , Deepjyoti Deka , Anamika Dubey

In their standard form Gaussian processes (GPs) provide a powerful non-parametric framework for regression and classificaton tasks. Their one limiting property is their $\mathcal{O}(N^{3})$ scaling where $N$ is the number of training data…

机器学习 · 统计学 2020-01-16 Vidhi Lalchand , A. C. Faul

Transformers have increasingly become the de facto method to model sequential data with state-of-the-art performance. Due to its widespread use, being able to estimate and calibrate its modeling uncertainty is important to understand and…

机器学习 · 计算机科学 2025-03-03 Long Minh Bui , Tho Tran Huu , Duy Dinh , Tan Minh Nguyen , Trong Nghia Hoang

Gaussian process (GP) regression is a powerful probabilistic modeling technique with built-in uncertainty quantification. When one has access to multiple correlated simulations (tasks), it is common to fit a multitask GP (MTGP) surrogate…

统计计算 · 统计学 2026-03-18 Aleksei G. Sorokin , Pieterjan Robbe , Fred J. Hickernell

Many machine learning problems can be framed in the context of estimating functions, and often these are time-dependent functions that are estimated in real-time as observations arrive. Gaussian processes (GPs) are an attractive choice for…

In order to scale standard Gaussian process (GP) regression to large-scale datasets, aggregation models employ factorized training process and then combine predictions from distributed experts. The state-of-the-art aggregation models,…

机器学习 · 统计学 2018-06-05 Haitao Liu , Jianfei Cai , Yi Wang , Yew-Soon Ong

Deep autoregressive sequence-to-sequence models have demonstrated impressive performance across a wide variety of tasks in recent years. While common architecture classes such as recurrent, convolutional, and self-attention networks make…

机器学习 · 计算机科学 2018-11-09 Mitchell Stern , Noam Shazeer , Jakob Uszkoreit

Recurrent neural networks with differentiable attention mechanisms have had success in generative and classification tasks. We show that the classification performance of such models can be enhanced by guiding a randomly initialized model…

机器学习 · 计算机科学 2017-12-18 Jack Lindsey

Gaussian Processes (GPs) are powerful kernelized methods for non-parameteric regression used in many applications. However, their use is limited to a few thousand of training samples due to their cubic time complexity. In order to scale GPs…

机器学习 · 统计学 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

Attention is a general reasoning mechanism than can flexibly deal with image information, but its memory requirements had made it so far impractical for high resolution image generation. We present Grid Partitioned Attention (GPA), a new…

计算机视觉与模式识别 · 计算机科学 2021-07-09 Nikolay Jetchev , Gökhan Yildirim , Christian Bracher , Roland Vollgraf

Several machine learning problems arising in natural language processing can be modeled as a sequence labeling problem. We provide Gaussian process models based on pseudo-likelihood approximation to perform sequence labeling. Gaussian…

机器学习 · 计算机科学 2016-09-22 P. K. Srijith , P. Balamurugan , Shirish Shevade