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Propagating input uncertainty through non-linear Gaussian process (GP) mappings is intractable. This hinders the task of training GPs using uncertain and partially observed inputs. In this paper we refer to this task as "semi-described…

机器学习 · 统计学 2015-09-04 Andreas Damianou , Neil D. Lawrence

Deep Gaussian Processes (DGP) are hierarchical generalizations of Gaussian Processes (GP) that have proven to work effectively on a multiple supervised regression tasks. They combine the well calibrated uncertainty estimates of GPs with the…

Evaluating generative AI models is increasingly resource-intensive due to slow inference, expensive raters, and a rapidly growing landscape of models and benchmarks. We propose ProEval, a proactive evaluation framework that leverages…

机器学习 · 计算机科学 2026-04-28 Yizheng Huang , Wenjun Zeng , Aditi Kumaresan , Zi Wang

Gaussian process regression is a machine learning approach which has been shown its power for estimation of unknown functions. However, Gaussian processes suffer from high computational complexity, as in a basic form they scale cubically…

机器学习 · 统计学 2018-09-10 Danil Kuzin , Le Yang , Olga Isupova , Lyudmila Mihaylova

With the rapid advancement of artificial intelligence (AI), generative AI (GenAI) has emerged as a transformative tool, enabling customized and personalized AI-generated content (AIGC) services. However, GenAI models with billions of…

网络与互联网体系结构 · 计算机科学 2024-11-14 Zhang Liu , Hongyang Du , Lianfen Huang , Zhibin Gao , Dusit Niyato

Gaussian processes (GPs) are generally regarded as the gold standard surrogate model for emulating computationally expensive computer-based simulators. However, the problem of training GPs as accurately as possible with a minimum number of…

统计方法学 · 统计学 2024-11-26 Hossein Mohammadi , Peter Challenor

Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

统计方法学 · 统计学 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

In this paper, we present a learning-based tracking controller based on Gaussian processes (GP) for collision avoidance of multi-agent systems where the agents evolve in the special Euclidean group in the space SE(3). In particular, we use…

系统与控制 · 电气工程与系统科学 2025-04-15 Omayra Yago Nieto , Alexandre Anahory Simoes , Juan I. Giribet , Leonardo J. Colombo

We introduce an ensemble learning method based on Gaussian Process Regression (GPR) for predicting conditional expected stock returns given stock-level and macro-economic information. Our ensemble learning approach significantly reduces the…

风险管理 · 定量金融 2026-03-10 Damir Filipović , Puneet Pasricha

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…

统计理论 · 数学 2022-06-06 Hengrui Luo , Giovanni Nattino , Matthew T. Pratola

The control of a single agent in complex and uncertain multi-agent environments requires careful consideration of the interactions between the agents. In this context, this paper proposes a dual model predictive control (MPC) method using…

最优化与控制 · 数学 2025-09-03 T. M. J. T. Baltussen , A. Katriniok , E. Lefeber , R. Tóth , W. P. M. H. Heemels

We propose an approach based on function evaluations and Bayesian inference to extract higher-order differential information of objective functions {from a given ensemble of particles}. Pointwise evaluation $\{V(x^i)\}_i$ of some potential…

机器学习 · 统计学 2023-03-02 Claudia Schillings , Claudia Totzeck , Philipp Wacker

In this paper, we address the critical need for interpretable and uncertainty-aware machine learning models in the context of online learning for high-risk industries, particularly cyber-security. While deep learning and other complex…

机器学习 · 计算机科学 2024-11-15 Benjamin Kolicic , Alberto Caron , Chris Hicks , Vasilios Mavroudis

Gaussian Process (GP) models are widely used for Robotic Information Gathering (RIG) in exploring unknown environments due to their ability to model complex phenomena with non-parametric flexibility and accurately quantify prediction…

机器人学 · 计算机科学 2024-06-07 Weizhe Chen , Lantao Liu , Roni Khardon

Deep Gaussian processes (DGPs) provide a rich class of models that can better represent functions with varying regimes or sharp changes, compared to conventional GPs. In this work, we propose a novel inference method for DGPs for computer…

机器学习 · 统计学 2022-08-18 Deyu Ming , Daniel Williamson , Serge Guillas

In many areas of science and engineering, discovering the governing differential equations from the noisy experimental data is an essential challenge. It is also a critical step in understanding the physical phenomena and prediction of the…

统计方法学 · 统计学 2026-05-12 Jiuhai Chen , Lulu Kang , Guang Lin

Out-of-distribution (OOD) generalization has long been a challenging problem that remains largely unsolved. Gaussian processes (GP), as popular probabilistic model classes, especially in the small data regime, presume strong OOD…

机器学习 · 计算机科学 2023-12-19 Xilong Zhao , Siyuan Bian , Yaoyun Zhang , Yuliang Zhang , Qinying Gu , Xinbing Wang , Chenghu Zhou , Nanyang Ye

Federated learning aims to learn a global model that performs well on client devices with limited cross-client communication. Personalized federated learning (PFL) further extends this setup to handle data heterogeneity between clients by…

机器学习 · 计算机科学 2021-10-27 Idan Achituve , Aviv Shamsian , Aviv Navon , Gal Chechik , Ethan Fetaya

Gaussian Process (GPs) models are a rich distribution over functions with inductive biases controlled by a kernel function. Learning occurs through the optimisation of kernel hyperparameters using the marginal likelihood as the objective.…

机器学习 · 统计学 2021-11-22 Fergus Simpson , Vidhi Lalchand , Carl Edward Rasmussen

Missing value imputation is crucial for real-world data science workflows. Imputation is harder in the online setting, as it requires the imputation method itself to be able to evolve over time. For practical applications, imputation…

机器学习 · 计算机科学 2021-12-17 Yuxuan Zhao , Eric Landgrebe , Eliot Shekhtman , Madeleine Udell