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In this paper, we introduce the notion of Gaussian processes indexed by probability density functions for extending the Mat\'ern family of covariance functions. We use some tools from information geometry to improve the efficiency and the…

统计方法学 · 统计学 2020-11-09 A. Fradi , Y. Feunteun , C. Samir , M. Baklouti , F. Bachoc , J-M. Loubes

Data-efficient learning algorithms are essential in many practical applications where data collection is expensive, e.g., in robotics due to the wear and tear. To address this problem, meta-learning algorithms use prior experience about…

机器学习 · 计算机科学 2020-10-26 Jean Kaddour , Steindór Sæmundsson , Marc Peter Deisenroth

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

The goal of system identification is to learn about underlying physics dynamics behind the time-series data. To model the probabilistic and nonparametric dynamics model, Gaussian process (GP) have been widely used; GP can estimate the…

机器学习 · 统计学 2018-11-22 Young-Jin Park , Han-Lim Choi

Sample efficient learning of manipulation skills poses a major challenge in robotics. While recent approaches demonstrate impressive advances in the type of task that can be addressed and the sensing modalities that can be incorporated,…

机器人学 · 计算机科学 2024-10-08 Adrian Röfer , Iman Nematollahi , Tim Welschehold , Wolfram Burgard , Abhinav Valada

In this article, we present a visual introduction to Gaussian Belief Propagation (GBP), an approximate probabilistic inference algorithm that operates by passing messages between the nodes of arbitrarily structured factor graphs. A special…

人工智能 · 计算机科学 2021-07-07 Joseph Ortiz , Talfan Evans , Andrew J. Davison

The design process of complex systems such as new configurations of aircraft or launch vehicles is usually decomposed in different phases which are characterized for instance by the depth of the analyses in terms of number of design…

机器学习 · 计算机科学 2020-07-01 Loïc Brevault , Mathieu Balesdent , Ali Hebbal

Some scenarios require the computation of a predictive distribution of a new value evaluated on an objective function conditioned on previous observations. We are interested on using a model that makes valid assumptions on the objective…

机器学习 · 计算机科学 2021-01-21 Lucia Asencio-Martín , Eduardo C. Garrido-Merchán

Active inference is a state-of-the-art framework for modelling the brain that explains a wide range of mechanisms such as habit formation, dopaminergic discharge and curiosity. Recently, two versions of branching time active inference…

人工智能 · 计算机科学 2022-06-28 Théophile Champion , Marek Grześ , Howard Bowman

Many real-world tasks require optimizing expensive black-box functions accessible only through noisy evaluations, a setting commonly addressed with Bayesian optimization (BO). While Bayesian neural networks (BNNs) have recently emerged as…

机器学习 · 计算机科学 2026-01-14 Farhad Mirkarimi

Bayesian model updating based on Gaussian Process (GP) models has received attention in recent years, which incorporates kernel-based GPs to provide enhanced fidelity response predictions. Although most kernel functions provide high fitting…

Sequential learning with Gaussian processes (GPs) is challenging when access to past data is limited, for example, in continual and active learning. In such cases, errors can accumulate over time due to inaccuracies in the posterior,…

机器学习 · 计算机科学 2023-06-07 Paul E. Chang , Prakhar Verma , S. T. John , Arno Solin , Mohammad Emtiyaz Khan

We propose a probability distribution for multivariate binary random variables. The probability distribution is expressed as principal minors of the parameter matrix, which is a matrix analogous to the inverse covariance matrix in the…

统计方法学 · 统计学 2025-12-08 Takashi Arai

We describe a novel approach to statistical learning from particles tracked while moving in a random environment. The problem consists in inferring properties of the environment from recorded snapshots. We consider here the case of a fluid…

信息论 · 计算机科学 2008-06-09 Michael Chertkov , Lukas Kroc , Massimo Vergassola

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

We present a Gaussian Process - Latent Class Choice Model (GP-LCCM) to integrate a non-parametric class of probabilistic machine learning within discrete choice models (DCMs). Gaussian Processes (GPs) are kernel-based algorithms that…

计量经济学 · 经济学 2023-08-02 Georges Sfeir , Filipe Rodrigues , Maya Abou-Zeid

In applications of Gaussian processes where quantification of uncertainty is a strict requirement, it is necessary to accurately characterize the posterior distribution over Gaussian process covariance parameters. Normally, this is done by…

统计计算 · 统计学 2016-04-01 Xiaoyu Xiong , Václav Šmídl , Maurizio Filippone

Efficient Reinforcement Learning usually takes advantage of demonstration or good exploration strategy. By applying posterior sampling in model-free RL under the hypothesis of GP, we propose Gaussian Process Posterior Sampling Reinforcement…

机器学习 · 计算机科学 2018-12-12 Ying Fan , Letian Chen , Yizhou Wang

Recent advances in the field of meta-learning have tackled domains consisting of large numbers of small ("few-shot") supervised learning tasks. Meta-learning algorithms must be able to rapidly adapt to any individual few-shot task, fitting…

机器学习 · 计算机科学 2021-10-22 Vivek Myers , Nikhil Sardana

While Gaussian processes (GPs) are the method of choice for regression tasks, they also come with practical difficulties, as inference cost scales cubic in time and quadratic in memory. In this paper, we introduce a natural and expressive…

机器学习 · 计算机科学 2018-09-13 Martin Trapp , Robert Peharz , Carl E. Rasmussen , Franz Pernkopf