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The Gaussian process (GP) model, which has been extensively applied as priors of functions, has demonstrated excellent performance. The specification of a large number of parameters affects the computational efficiency and the feasibility…

机器学习 · 统计学 2020-02-13 Shisheng Cui , Chia-Jung Chang

We present $\mathcal{L}_1$-$\mathcal{GP}$, an architecture based on $\mathcal{L}_1$ adaptive control and Gaussian Process Regression (GPR) for safe simultaneous control and learning. On one hand, the $\mathcal{L}_1$ adaptive control…

系统与控制 · 电气工程与系统科学 2020-05-01 Aditya Gahlawat , Pan Zhao , Andrew Patterson , Naira Hovakimyan , Evangelos A. Theodorou

In complex and unknown processes, global models are initially generated over the entire experimental space but often fail to provide accurate predictions in local areas. A common approach is to use local models, which requires partitioning…

机器学习 · 计算机科学 2025-05-29 Dominik Polke , Tim Kösters , Elmar Ahle , Dirk Söffker

Gaussian processes (GPs) are important models in supervised machine learning. Training in Gaussian processes refers to selecting the covariance functions and the associated parameters in order to improve the outcome of predictions, the core…

We introduce a novel adaptive Gaussian Process Regression (GPR) methodology for efficient construction of surrogate models for Bayesian inverse problems with expensive forward model evaluations. An adaptive design strategy focuses on…

数值分析 · 数学 2024-05-01 Paolo Villani , Jörg Unger , Martin Weiser

In many clinical trials treatments need to be repeatedly applied as diseases relapse frequently after remission over a long period of time (e.g., 35 weeks). Most research in statistics focuses on the overall trial design, such as sample…

统计方法学 · 统计学 2014-04-01 Yanxun Xu , Yuan Ji

Gaussian Processes (\textbf{GPs}) are flexible non-parametric models with strong probabilistic interpretation. While being a standard choice for performing inference on time series, GPs have few techniques to work in a streaming setting.…

机器学习 · 统计学 2021-07-22 Théo Galy-Fajou , Manfred Opper

Meta-learning is a powerful approach that exploits historical data to quickly solve new tasks from the same distribution. In the low-data regime, methods based on the closed-form posterior of Gaussian processes (GP) together with Bayesian…

Computed-torque control requires a very precise dynamical model of the robot for compensating the manipulator dynamics. This allows reduction of the controller's feedback gains resulting in disturbance attenuation and other advantages.…

系统与控制 · 计算机科学 2018-11-19 Thomas Beckers , Jonas Umlauft , Sandra Hirche

Model Predictive Control (MPC) of an unknown system that is modelled by Gaussian Process (GP) techniques is studied in this paper. Using GP, the variances computed during the modelling and inference processes allow us to take model…

系统与控制 · 计算机科学 2016-12-06 Gang Cao , Edmund M-K Lai , Fakhrul Alam

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

机器学习 · 计算机科学 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

This paper proposes a nonplanar model predictive control (MPC) framework for autonomous vehicles operating on nonplanar terrain. To approximate complex vehicle dynamics in such environments, we develop a geometry-aware modeling approach…

机器人学 · 计算机科学 2026-02-19 Ahmad Amine , Kabir Puri , Viet-Anh Le , Rahul Mangharam

Although machine learning is increasingly applied in control approaches, only few methods guarantee certifiable safety, which is necessary for real world applications. These approaches typically rely on well-understood learning algorithms,…

机器学习 · 计算机科学 2020-06-16 Armin Lederer , Markus Kessler , Sandra Hirche

A key task in AutoML is to model learning curves of machine learning models jointly as a function of model hyper-parameters and training progression. While Gaussian processes (GPs) are suitable for this task, na\"ive GPs require…

机器学习 · 计算机科学 2024-10-15 Jihao Andreas Lin , Sebastian Ament , Maximilian Balandat , Eytan Bakshy

In Iterative Learning Control (ILC), a sequence of feedforward control actions is generated at each iteration on the basis of partial model knowledge and past measurements with the goal of steering the system toward a desired reference…

系统与控制 · 电气工程与系统科学 2022-04-12 Efe C. Balta , Andrea Iannelli , Roy S. Smith , John Lygeros

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…

By compressing diverse narratives, LLMs go beyond memorization, achieving intelligence by capturing generalizable causal relationships. However, they suffer from local 'representation gaps' due to insufficient training data diversity,…

机器学习 · 计算机科学 2024-08-30 Fangyuan Yu , Hardeep Singh Arora , Matt Johnson

This paper proposes a physically consistent Gaussian Process (GP) enabling the identification of uncertain Lagrangian systems. The function space is tailored according to the energy components of the Lagrangian and the differential equation…

机器学习 · 计算机科学 2023-02-06 Giulio Evangelisti , Sandra Hirche

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

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

机器学习 · 统计学 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams
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