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Transformed Gaussian Processes (TGPs) are stochastic processes specified by transforming samples from the joint distribution from a prior process (typically a GP) using an invertible transformation; increasing the flexibility of the base…

机器学习 · 计算机科学 2023-11-03 Francisco Javier Sáez-Maldonado , Juan Maroñas , Daniel Hernández-Lobato

Gaussian Processes (GPs) offer an attractive method for regression over small, structured and correlated datasets. However, their deployment is hindered by computational costs and limited guidelines on how to apply GPs beyond simple…

机器学习 · 计算机科学 2023-07-18 Kenza Tazi , Jihao Andreas Lin , Ross Viljoen , Alex Gardner , ST John , Hong Ge , Richard E. Turner

A continuing challenge for machine learning is providing methods to perform computation on data while ensuring the data remains private. In this paper we build on the provable privacy guarantees of differential privacy which has been…

机器学习 · 计算机科学 2019-09-23 Michael Thomas Smith , Mauricio A. Alvarez , Neil D. Lawrence

When an agent, person, vehicle or robot is moving through an unknown environment without GNSS signals, online mapping of nonlinear terrains can be used to improve position estimates when the agent returns to a previously mapped area.…

机器学习 · 计算机科学 2025-05-22 Frida Marie Viset , Rudy Helmons , Manon Kok

We introduce a novel way to combine boosting with Gaussian process and mixed effects models. This allows for relaxing, first, the zero or linearity assumption for the prior mean function in Gaussian process and grouped random effects models…

机器学习 · 计算机科学 2024-11-06 Fabio Sigrist

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

In this paper we introduce deep Gaussian process (GP) models. Deep GPs are a deep belief network based on Gaussian process mappings. The data is modeled as the output of a multivariate GP. The inputs to that Gaussian process are then…

机器学习 · 统计学 2013-03-26 Andreas C. Damianou , Neil D. Lawrence

A Gaussian Process (GP) is a prominent mathematical framework for stochastic function approximation in science and engineering applications. This success is largely attributed to the GP's analytical tractability, robustness, non-parametric…

机器学习 · 统计学 2022-05-19 Marcus M. Noack , Harinarayan Krishnan , Mark D. Risser , Kristofer G. Reyes

Parameter estimation is crucial for modeling, tracking, and control of complex dynamical systems. However, parameter uncertainties can compromise system performance under a controller relying on nominal parameter values. Typically,…

机器人学 · 计算机科学 2020-02-20 Mouhyemen Khan , Abhijit Chatterjee

This work introduces the concept of parametric Gaussian processes (PGPs), which is built upon the seemingly self-contradictory idea of making Gaussian processes parametric. Parametric Gaussian processes, by construction, are designed to…

机器学习 · 统计学 2017-05-08 Maziar Raissi

Many traditional signal recovery approaches can behave well basing on the penalized likelihood. However, they have to meet with the difficulty in the selection of hyperparameters or tuning parameters in the penalties. In this article, we…

机器学习 · 统计学 2022-11-17 Bin Wang , Xiaofei Wang , Jianhua Guo

Sparse functional data frequently arise in real-world applications, posing significant challenges for accurate classification. To address this, we propose a novel classification method that integrates functional principal component analysis…

统计计算 · 统计学 2025-03-17 Ahmad Talafha

Generalized linear models (GLMs) -- such as logistic regression, Poisson regression, and robust regression -- provide interpretable models for diverse data types. Probabilistic approaches, particularly Bayesian ones, allow coherent…

统计计算 · 统计学 2018-12-19 Jonathan H. Huggins , Ryan P. Adams , Tamara Broderick

In this work, we present a novel approach to system identification for dynamical systems, based on a specific class of Deep Gaussian Processes (Deep GPs). These models are constructed by interconnecting linear dynamic GPs (equivalent to…

机器学习 · 统计学 2025-02-11 Alessio Benavoli , Dario Piga , Marco Forgione , Marco Zaffalon

We study the problem of detecting a change in the mean of one-dimensional Gaussian process data. This problem is investigated in the setting of increasing domain (customarily employed in time series analysis) and in the setting of fixed…

统计理论 · 数学 2017-04-11 Hossein Keshavarz , Clayton Scott , XuanLong Nguyen

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…

In this paper, we develop a high-dimensional map building technique that incorporates raw pixelated semantic measurements into the map representation. The proposed technique uses Gaussian Processes (GPs) multi-class classification for map…

机器人学 · 计算机科学 2017-07-07 Maani Ghaffari Jadidi , Lu Gan , Steven A. Parkison , Jie Li , Ryan M. Eustice

Gaussian processes (GPs) have been proven to be powerful tools in various areas of machine learning. However, there are very few applications of GPs in the scenario of multi-view learning. In this paper, we present a new GP model for…

机器学习 · 统计学 2017-01-18 Qiuyang Liu , Shiliang Sun

By enabling constraint-aware online model adaptation, model predictive control using Gaussian process (GP) regression has exhibited impressive performance in real-world applications and received considerable attention in the learning-based…

最优化与控制 · 数学 2024-09-17 Amon Lahr , Andrea Zanelli , Andrea Carron , Melanie N. Zeilinger

Generalized Gaussian processes (GGPs) are highly flexible models that combine latent GPs with potentially non-Gaussian likelihoods from the exponential family. GGPs can be used in a variety of settings, including GP classification,…

统计方法学 · 统计学 2020-12-22 Daniel Zilber , Matthias Katzfuss