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Inference for GP models with non-Gaussian noises is computationally expensive when dealing with large datasets. Many recent inference methods approximate the posterior distribution with a simpler distribution defined on a small number of…

机器学习 · 计算机科学 2018-09-11 Linfeng Liu , Liping Liu

Gaussian process (GP) regression provides a strategy for accelerating saddle point searches on high-dimensional energy surfaces by reducing the number of times the energy and its derivatives with respect to atomic coordinates need to be…

化学物理 · 物理学 2025-12-03 Rohit Goswami , Hannes Jónsson

It is of fundamental importance to find algorithms obtaining optimal performance for learning of statistical models in distributed and communication limited systems. Aiming at characterizing the optimal strategies, we consider learning of…

The computational efficiency of approximate Bayesian computation (ABC) has been improved by using surrogate models such as Gaussian processes (GP). In one such promising framework the discrepancy between the simulated and observed data is…

机器学习 · 统计学 2020-08-07 Marko Järvenpää , Aki Vehtari , Pekka Marttinen

We introduce a simulation-based, amortised Bayesian inference scheme to infer the parameters of random walks. Our approach learns the posterior distribution of the walks' parameters with a likelihood-free method. In the first step a graph…

Random walks can be used to search complex networks for a desired resource. To reduce search lengths, we propose a mechanism based on building random walks connecting together partial walks (PW) previously computed at each network node.…

网络与互联网体系结构 · 计算机科学 2013-04-19 Víctor M. López Millán , Vicent Cholvi , Luis López , Antonio Fernández Anta

Deep Gaussian Processes (DGPs) are multi-layer, flexible extensions of Gaussian processes but their training remains challenging. Sparse approximations simplify the training but often require optimization over a large number of inducing…

机器学习 · 统计学 2021-07-20 Ayush Jain , P. K. Srijith , Mohammad Emtiyaz Khan

Gaussian Processes (GPs) are expressive models for capturing signal statistics and expressing prediction uncertainty. As a result, the robotics community has gathered interest in leveraging these methods for inference, planning, and…

机器人学 · 计算机科学 2023-08-29 Francesco Crocetti , Jeffrey Mao , Alessandro Saviolo , Gabriele Costante , Giuseppe Loianno

Information theoretic active learning has been widely studied for probabilistic models. For simple regression an optimal myopic policy is easily tractable. However, for other tasks and with more complex models, such as classification with…

机器学习 · 统计学 2011-12-30 Neil Houlsby , Ferenc Huszár , Zoubin Ghahramani , Máté Lengyel

We introduce a Gaussian process-based model for handling of non-stationarity. The warping is achieved non-parametrically, through imposing a prior on the relative change of distance between subsequent observation inputs. The model allows…

机器学习 · 统计学 2019-12-06 David Tolpin

We are interested in the online prediction of the electricity load, within the Bayesian framework of dynamic models. We offer a review of sequential Monte Carlo methods, and provide the calculations needed for the derivation of so-called…

应用统计 · 统计学 2013-04-16 Tristan Launay , Anne Philippe , Sophie Lamarche

We design a Gaussian Process (GP) spatiotemporal model to capture features of day-ahead wind power forecasts. We work with hourly-scale day-ahead forecasts across hundreds of wind farm locations, with the main aim of constructing a fully…

机器学习 · 计算机科学 2024-09-26 Qiqi Li , Mike Ludkovski

This paper presents a machine learning framework (GP-NODE) for Bayesian systems identification from partial, noisy and irregular observations of nonlinear dynamical systems. The proposed method takes advantage of recent developments in…

机器学习 · 计算机科学 2021-03-08 Mohamed Aziz Bhouri , Paris Perdikaris

We introduce a novel algorithm for controlling linear time invariant systems in a tracking problem. The controller is based on a Gaussian Process (GP) whose realizations satisfy a system of linear ordinary differential equations with…

最优化与控制 · 数学 2025-08-01 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

We propose stochastic, non-parametric activation functions that are fully learnable and individual to each neuron. Complexity and the risk of overfitting are controlled by placing a Gaussian process prior over these functions. The result is…

机器学习 · 统计学 2017-12-01 Sebastian Urban , Marcus Basalla , Patrick van der Smagt

Physical phenomena are observed in many fields (sciences and engineering) and are often studied by time-consuming computer codes. These codes are analyzed with statistical models, often called emulators. In many situations, the physical…

概率论 · 数学 2016-06-07 Hassan Maatouk , Xavier Bay

Maximizing high-dimensional, non-convex functions through noisy observations is a notoriously hard problem, but one that arises in many applications. In this paper, we tackle this challenge by modeling the unknown function as a sample from…

机器学习 · 计算机科学 2012-07-03 Bo Chen , Rui Castro , Andreas Krause

This work presents an efficient framework to generate a motion plan of a robot with high degrees of freedom (e.g., a humanoid robot). High-dimensionality of the robot configuration space often leads to difficulties in utilizing the…

机器人学 · 计算机科学 2018-08-02 Jung-Su Ha , Hyeok-Joo Chae , Han-Lim Choi

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

We consider the problem of trajectory planning in an environment comprised of a set of obstacles with uncertain locations. While previous approaches model the uncertainties with a prescribed Gaussian distribution, we consider the realistic…

系统与控制 · 计算机科学 2021-01-12 Vasileios Lefkopoulos , Maryam Kamgarpour