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While 3D Gaussian Splatting (3DGS) has demonstrated impressive real-time rendering performance, its efficacy remains constrained by a reliance on heuristic density control. Despite numerous refinements to these handcrafted rules, such…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Zhenhua Ning , Xin Li , Jun Yu , Guangming Lu , Yaowei Wang , Wenjie Pei

Several machine learning problems arising in natural language processing can be modeled as a sequence labeling problem. We provide Gaussian process models based on pseudo-likelihood approximation to perform sequence labeling. Gaussian…

机器学习 · 计算机科学 2016-09-22 P. K. Srijith , P. Balamurugan , Shirish Shevade

In the realm of the cooperative control of multi-agent systems (MASs) with unknown dynamics, Gaussian process (GP) regression is widely used to infer the uncertainties due to its modeling flexibility of nonlinear functions and the existence…

系统与控制 · 电气工程与系统科学 2024-09-18 Xiaobing Dai , Zewen Yang , Sihua Zhang , Di-Hua Zhai , Yuanqing Xia , Sandra Hirche

We present a framework for transfer learning based on modular variational Gaussian processes (GP). We develop a module-based method that having a dictionary of well fitted GPs, one could build ensemble GP models without revisiting any data.…

机器学习 · 统计学 2021-10-27 Pablo Moreno-Muñoz , Antonio Artés-Rodríguez , Mauricio A. Álvarez

This paper presents an adaptive high performance control method for autonomous miniature race cars. Racing dynamics are notoriously hard to model from first principles, which is addressed by means of a cautious nonlinear model predictive…

系统与控制 · 计算机科学 2018-12-19 Lukas Hewing , Alexander Liniger , Melanie N. Zeilinger

Gaussian Process (GP) emulators are widely used to approximate complex computer model behaviour across the input space. Motivated by the problem of coupling computer models, recently progress has been made in the theory of the analysis of…

应用统计 · 统计学 2022-04-20 Victoria Volodina , Nikki Sonenberg , Peter Challenor , Jim Q. Smith

Gaussian processes (GPs) stand as crucial tools in machine learning and signal processing, with their effectiveness hinging on kernel design and hyper-parameter optimization. This paper presents a novel GP linear multiple kernel (LMK) and a…

机器学习 · 计算机科学 2025-01-17 Richard Cornelius Suwandi , Zhidi Lin , Feng Yin , Zhiguo Wang , Sergios Theodoridis

A critical bottleneck for scientific progress is the costly nature of computer simulations for complex systems. Surrogate models provide an appealing solution: such models are trained on simulator evaluations, then used to emulate and…

机器学习 · 统计学 2025-07-14 Xinming Wang , Simon Mak , John Miller , Jianguo Wu

We develop a simulation-based method for the online updating of Gaussian process regression and classification models. Our method exploits sequential Monte Carlo to produce a fast sequential design algorithm for these models relative to the…

统计计算 · 统计学 2010-07-07 Robert B. Gramacy , Nicholas G. Polson

The Gaussian process latent variable model (GP-LVM) provides a flexible approach for non-linear dimensionality reduction that has been widely applied. However, the current approach for training GP-LVMs is based on maximum likelihood, where…

机器学习 · 统计学 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

Data-driven approaches achieve remarkable results for the modeling of complex dynamics based on collected data. However, these models often neglect basic physical principles which determine the behavior of any real-world system. This…

系统与控制 · 电气工程与系统科学 2023-05-17 Thomas Beckers , Jacob Seidman , Paris Perdikaris , George J. Pappas

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

This paper presents a real-time capable algorithm for the learning of Gaussian Processes (GP) for submodels. It extends an existing recursive Gaussian Process (RGP) algorithm which requires a measurable output. In many applications,…

系统与控制 · 电气工程与系统科学 2025-11-24 Ricus Husmann , Sven Weishaupt , Harald Aschemann

The recent accelerated growth in the computing power has generated popularization of experimentation with dynamic computer models in various physical and engineering applications. Despite the extensive statistical research in computer…

统计方法学 · 统计学 2018-10-18 Ru Zhang , Chunfang Devon Lin , Pritam Ranjan

The increased demand for online prediction and the growing availability of large data sets drives the need for computationally efficient models. While exact Gaussian process regression shows various favorable theoretical properties…

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

We present a novel Simultaneous Localization and Mapping (SLAM) method that employs Gaussian Process (GP) based landmark (object) representations. Instead of conventional grid maps or point cloud registration, we model the environment on a…

机器人学 · 计算机科学 2025-08-25 Ali Emre Balcı , Erhan Ege Keyvan , Emre Özkan

We present a straightforward and efficient way to control unstable robotic systems using an estimated dynamics model. Specifically, we show how to exploit the differentiability of Gaussian Processes to create a state-dependent linearized…

机器人学 · 计算机科学 2021-08-03 Ivan D. Jimenez Rodriguez , Ugo Rosolia , Aaron D. Ames , Yisong Yue

Designing controllers for complex industrial electronic systems is challenging due to nonlinearities and parameter uncertainties, and traditional methods are often slow and costly. To address this, we propose a novel autonomous design…

系统与控制 · 电气工程与系统科学 2025-07-23 Chenggang Cui , Jiaming Liu , Peifeng Hui , Pengfeng Lin , Chuanlin Zhang

In Gaussian Process (GP) dynamical model learning for robot control, particularly for systems constrained by computational resources like small quadrotors equipped with low-end processors, analyzing stability and designing a stable…

系统与控制 · 电气工程与系统科学 2024-06-05 Wenhan Cao , Alexandre Capone , Rishabh Yadav , Sandra Hirche , Wei Pan