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Real engineering and scientific applications often involve one or more qualitative inputs. Standard Gaussian processes (GPs), however, cannot directly accommodate qualitative inputs. The recently introduced latent variable Gaussian process…

Machine Learning · Statistics 2023-03-21 Suraj Yerramilli , Akshay Iyer , Wei Chen , Daniel W. Apley

Purely data driven approaches for machine learning present difficulties when data is scarce relative to the complexity of the model or when the model is forced to extrapolate. On the other hand, purely mechanistic approaches need to…

Machine Learning · Statistics 2020-03-16 Mauricio A. Álvarez , David Luengo , Neil D. Lawrence

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…

Deep Gaussian Processes (DGPs) were proposed as an expressive Bayesian model capable of a mathematically grounded estimation of uncertainty. The expressivity of DPGs results from not only the compositional character but the distribution…

Machine Learning · Computer Science 2021-11-23 Chi-Ken Lu , Patrick Shafto

The generation of multiphase porous electrode microstructures with optimum morphological and transport properties is essential in the design of improved electrochemical energy storage devices, such as lithium-ion batteries. Electrode…

Computational Engineering, Finance, and Science · Computer Science 2025-08-05 Andrea Gayon-Lombardo , Ehecatl A. del Rio-Chanona , Catalina A. Pino-Munoz , Nigel P. Brandon

Accurate prediction of battery performance under various ageing conditions is necessary for reliable and stable battery operations. Due to complex battery degradation mechanisms, estimating the accurate ageing level and ageing-dependent…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Tushar Desai , Riccardo M. G. Ferrari

For machine learning of interatomic potentials a scalable sparse Gaussian process regression formalism is introduced with a data-efficient on-the-fly adaptive sampling algorithm. With this approach, the computational cost is effectively…

Computational Physics · Physics 2021-06-09 Amir Hajibabaei , Chang Woo Myung , Kwang S. Kim

Capacity attenuation is one of the most intractable issues in the current of application of the cells. The disintegration mechanism is well known to be very complex across the system. It is a great challenge to fully comprehend this process…

Artificial Intelligence · Computer Science 2023-08-31 Zhen Zhang , Hongrui Sun , Hui Sun

Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor data processing. This work develops a generalized canonical polyadic (GCP) low-rank tensor…

Numerical Analysis · Mathematics 2020-07-09 David Hong , Tamara G. Kolda , Jed A. Duersch

Non-invasive estimation of Li-ion battery state-of-health from operational data is valuable for battery applications, but remains challenging. Pure model-based methods may suffer from inaccuracy and long-term instability of parameter…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Zihao Zhou , Antti Aitio , David Howey

In this paper we introduce a novel framework for making exact nonparametric Bayesian inference on latent functions, that is particularly suitable for Big Data tasks. Firstly, we introduce a class of stochastic processes we refer to as…

Machine Learning · Statistics 2016-08-22 Yves-Laurent Kom Samo , Stephen Roberts

Deep Gaussian processes (DGPs) provide a rich class of models that can better represent functions with varying regimes or sharp changes, compared to conventional GPs. In this work, we propose a novel inference method for DGPs for computer…

Machine Learning · Statistics 2022-08-18 Deyu Ming , Daniel Williamson , Serge Guillas

Earth observation from satellite sensory data poses challenging problems, where machine learning is currently a key player. In recent years, Gaussian Process (GP) regression has excelled in biophysical parameter estimation tasks from…

In this work, we use Deep Gaussian Processes (DGPs) as statistical surrogates for stochastic processes with complex distributions. Conventional inferential methods for DGP models can suffer from high computational complexity as they require…

Machine Learning · Statistics 2023-05-02 Liang Ding , Rui Tuo , Shahin Shahrampour

Lithium ion batteries have been a central part of consumer electronics for decades. More recently, they have also become critical components in the quickly arising technological fields of electric mobility and intermittent renewable energy…

Computational Physics · Physics 2021-11-15 Chiara Panosetti , Simon B. Anniés , Cristina Grosu , Stefan Seidlmayer , Christoph Scheurer

Linear systems occur throughout engineering and the sciences, most notably as differential equations. In many cases the forcing function for the system is unknown, and interest lies in using noisy observations of the system to infer the…

We present a scale-bridging approach based on a multi-fidelity (MF) machine-learning (ML) framework leveraging Gaussian processes (GP) to fuse atomistic computational model predictions across multiple levels of fidelity. Through the…

Computational Physics · Physics 2020-08-06 Anh Tran , Julien Tranchida , Tim Wildey , Aidan P. Thompson

Batteries are an essential component in a deeply decarbonized future. Understanding battery performance and "useful life" as a function of design and use is of paramount importance to accelerating adoption. Historically, battery state of…

Machine Learning · Computer Science 2023-09-20 Noah H. Paulson , Joseph J. Kubal , Susan J. Babinec

We apply the Charge Simulation Method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many "small" components. This application allows to use just a single charge point for each component. The…

Numerical Analysis · Mathematics 2023-05-10 Jörg Liesen , Mohamed M. S. Nasser , Olivier Sète

The rapidly growing use of lithium-ion batteries across various industries highlights the pressing issue of optimal charging control, as charging plays a crucial role in the health, safety and life of batteries. The literature increasingly…

Systems and Control · Electrical Eng. & Systems 2020-04-30 Ning Tian , Huazhen Fang , Yebin Wang
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