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We present a framework for transfer learning based on modular variational Gaussian processes (GP). We develop a module-based method that having a dictionary of well fitted GPs, one could build ensemble GP models without revisiting any data.…

机器学习 · 统计学 2021-10-27 Pablo Moreno-Muñoz , Antonio Artés-Rodríguez , Mauricio A. Álvarez

Partially Observable Markov Decision Processes (POMDPs) are fundamental to decision-making under uncertainty. We introduce a novel scalable approach to accelerate upper bound estimation in Point-Based Value Iteration (PBVI) algorithms, the…

最优化与控制 · 数学 2025-03-13 Siqiong Zhou , Ashif S. Iquebal , Esma S. Gel

Active learning optimizes the exploration of large parameter spaces by strategically selecting which experiments or simulations to conduct, thus reducing resource consumption and potentially accelerating scientific discovery. A key…

机器学习 · 计算机科学 2024-05-20 Maxim Ziatdinov

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

Gaussian Process (GP) models are a powerful tool in probabilistic machine learning with a solid theoretical foundation. Thanks to current advances, modeling complex data with GPs is becoming increasingly feasible, which makes them an…

机器学习 · 计算机科学 2025-03-04 Sarem Seitz

The distributed coordination of robot teams performing complex tasks is challenging to formulate. The different aspects of a complete task such as local planning for obstacle avoidance, global goal coordination and collaborative mapping are…

机器人学 · 计算机科学 2023-10-04 Aalok Patwardhan , Andrew J. Davison

Gaussian process (GP) regression is a popular surrogate modeling tool for computer simulations in engineering and scientific domains. However, it often struggles with high computational costs and low prediction accuracy when the simulation…

机器学习 · 计算机科学 2025-02-25 Lulu Kang , Minshen Xu

We present a multi-task learning formulation for Deep Gaussian processes (DGPs), through non-linear mixtures of latent processes. The latent space is composed of private processes that capture within-task information and shared processes…

机器学习 · 统计学 2020-02-25 Ayman Boustati , Theodoros Damoulas , Richard S. Savage

We present a quadrotor dynamics Gaussian Process (GP) with gradient information that achieves real-time inference via state-space partitioning and approximation, and that includes aerodynamic effects using data from mid-fidelity potential…

机器人学 · 计算机科学 2026-02-16 Xinhuan Sang , Adam Rozman , Sheryl Grace , Roberto Tron

We present a two-stage Metropolis-Hastings algorithm for sampling probabilistic models, whose log-likelihood is computationally expensive to evaluate, by using a surrogate Gaussian Process (GP) model. The key feature of the approach, and…

机器学习 · 统计学 2021-09-29 Alessio Benavoli , Jason Wyse , Arthur White

The accurate prediction of time-changing variances is an important task in the modeling of financial data. Standard econometric models are often limited as they assume rigid functional relationships for the variances. Moreover, function…

统计方法学 · 统计学 2014-02-14 Yue Wu , Jose Miguel Hernandez Lobato , Zoubin Ghahramani

Multi-task learning requires accurate identification of the correlations between tasks. In real-world time-series, tasks are rarely perfectly temporally aligned; traditional multi-task models do not account for this and subsequent errors in…

Gaussian process (GP) models have been used in a wide range of battery applications, in which different kernels were manually selected with considerable expertise. However, to capture complex relationships in the ever-growing amount of…

系统与控制 · 电气工程与系统科学 2025-05-06 Huang Zhang , Xixi Liu , Faisal Altaf , Torsten Wik

Quantifying uncertainties in physical or engineering systems often requires a large number of simulations of the underlying computer models that are computationally intensive. Emulators or surrogate models are often used to accelerate the…

统计方法学 · 统计学 2021-11-11 Junda Xiong , Xin Cai , Jinglai Li

The Gaussian process latent variable model (GP-LVM) provides a flexible approach for non-linear dimensionality reduction that has been widely applied. However, the current approach for training GP-LVMs is based on maximum likelihood, where…

机器学习 · 统计学 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

In statistical modeling with Gaussian Process regression, it has been shown that combining (few) high-fidelity data with (many) low-fidelity data can enhance prediction accuracy, compared to prediction based on the few high-fidelity data…

机器学习 · 统计学 2019-04-23 Seungjoon Lee , Felix Dietrich , George E. Karniadakis , Ioannis G. Kevrekidis

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

统计理论 · 数学 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

A model involving Gaussian processes (GPs) is introduced to simultaneously handle multi-task learning, clustering, and prediction for multiple functional data. This procedure acts as a model-based clustering method for functional data as…

机器学习 · 计算机科学 2023-01-24 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

When collaborating with an AI system, we need to assess when to trust its recommendations. If we mistakenly trust it in regions where it is likely to err, catastrophic failures may occur, hence the need for Bayesian approaches for…

人工智能 · 计算机科学 2021-02-23 Federico Cerutti , Lance M. Kaplan , Angelika Kimmig , Murat Sensoy

Recent result shows how to compute distributively and efficiently the linear MMSE for the multiuser detection problem, using the Gaussian BP algorithm. In the current work, we extend this construction, and show that operating this algorithm…

信息论 · 计算机科学 2009-04-16 Danny Bickson , Ori Shental , Danny Dolev