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The multi-output Gaussian process ($\mathcal{MGP}$) is based on the assumption that outputs share commonalities, however, if this assumption does not hold negative transfer will lead to decreased performance relative to learning outputs…

Machine Learning · Statistics 2023-07-04 Moyan Li , Raed Kontar

Degradation prediction for lithium-ion batteries using data-driven methods requires high-quality aging data. However, generating such data, whether in the laboratory or the field, is time- and resource-intensive. Here, we propose a method…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Weihan Li , Harshvardhan Samsukha , Bruis van Vlijmen , Lisen Yan , Samuel Greenbank , Simona Onori , Venkat Viswanathan

The degradation process of lithium-ion batteries is intricately linked to their entire lifecycle as power sources and energy storage devices, encompassing aspects such as performance delivery and cycling utilization. Consequently, the…

Machine Learning · Computer Science 2023-08-16 Yue Xiang , Bo Jiang , Haifeng Dai

We develop a scalable class of models for latent variable estimation using composite Gaussian processes, with a focus on derivative Gaussian processes. We jointly model multiple data sources as outputs to improve the accuracy of latent…

We propose a novel probabilistic framework, termed LVM-GP, for uncertainty quantification in solving forward and inverse partial differential equations (PDEs) with noisy data. The core idea is to construct a stochastic mapping from the…

Machine Learning · Statistics 2025-07-31 Xiaodong Feng , Ling Guo , Xiaoliang Wan , Hao Wu , Tao Zhou , Wenwen Zhou

Lithium-ion cells may experience rapid degradation in later life, especially with more extreme usage protocols. The onset of rapid degradation is called the `knee point', and forecasting it is important for the safe and economically viable…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Samuel Greenbank , David A. Howey

Battery discharge capacity forecasting is critically essential for the applications of lithium-ion batteries. The capacity degeneration can be treated as the memory of the initial battery state of charge from the data point of view. The…

Signal Processing · Electrical Eng. & Systems 2024-09-19 Yadong Zhang , Chenye Zou , Xin Chen

Multi-Output Gaussian Processes (MOGPs) provide a principled probabilistic framework for modelling correlated outputs but face scalability bottlenecks when applied to datasets with high-dimensional output spaces. To maintain tractability,…

Machine Learning · Computer Science 2026-05-29 Xiaoyu Jiang , Xinxing Shi , Sokratia Georgaka , Magnus Rattray , Mauricio A Álvarez

With the advent of artificial intelligence and machine learning, various domains of science and engineering communities have leveraged data-driven surrogates to model complex systems through fusing numerous sources of information (data)…

The complex nature of lithium-ion battery degradation has led to many machine learning based approaches to health forecasting being proposed in literature. However, machine learning can be computationally intensive. Linear approaches are…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Samuel Greenbank , David A. Howey

Scientific and engineering problems often require the use of artificial intelligence to aid understanding and the search for promising designs. While Gaussian processes (GP) stand out as easy-to-use and interpretable learners, they have…

Machine Learning · Computer Science 2021-07-01 Liwei Wang , Suraj Yerramilli , Akshay Iyer , Daniel Apley , Ping Zhu , Wei Chen

Conventional Li-ion battery ageing models, such as electrochemical, semi-empirical and empirical models, require a significant amount of time and experimental resources to provide accurate predictions under realistic operating conditions.…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Lucu M. , Martinez-Laserna E. , Gandiaga I. , Liu K. , Camblong H. , Widanage W. D. , Marco J

This study develops a methodology by capturing both the battery aging state and degradation rate for improved life prediction performance. The aging state is indicated by six physical features of an equivalent circuit model that are…

Machine Learning · Computer Science 2023-08-29 Mingyuan Zhao , Yongzhi Zhang

We present a novel extension of multi-output Gaussian processes for handling heterogeneous outputs. We assume that each output has its own likelihood function and use a vector-valued Gaussian process prior to jointly model the parameters in…

Machine Learning · Statistics 2019-01-04 Pablo Moreno-Muñoz , Antonio Artés-Rodríguez , Mauricio A. Álvarez

The Multi-Output Gaussian Process is is a popular tool for modelling data from multiple sources. A typical choice to build a covariance function for a MOGP is the Linear Model of Coregionalization (LMC) which parametrically models the…

Machine Learning · Computer Science 2025-06-13 Xiaoyu Jiang , Sokratia Georgaka , Magnus Rattray , Mauricio A. Álvarez

Data generation remains a bottleneck in training surrogate models to predict molecular properties. We demonstrate that multitask Gaussian process regression overcomes this limitation by leveraging both expensive and cheap data sources. In…

Chemical Physics · Physics 2024-07-11 Katharine Fisher , Michael Herbst , Youssef Marzouk

We introduce Latent Gaussian Process Regression which is a latent variable extension allowing modelling of non-stationary multi-modal processes using GPs. The approach is built on extending the input space of a regression problem with a…

Machine Learning · Statistics 2017-09-19 Erik Bodin , Neill D. F. Campbell , Carl Henrik Ek

Modern engineering and scientific workflows often require simultaneous predictions across related tasks and fidelity levels, where high-fidelity data is scarce and expensive, while low-fidelity data is more abundant. This paper introduces…

Data-driven Model Predictive Control (MPC), where the system model is learned from data with machine learning, has recently gained increasing interests in the control community. Gaussian Processes (GP), as a type of statistical models, are…

Systems and Control · Computer Science 2019-10-03 Truong X. Nghiem

This work investigates application of different machine learning based prediction methodologies to estimate the performance of silicon based textured cells. Concept of confidence bound regions is introduced and advantages of this concept…

Machine Learning · Computer Science 2021-07-16 Rahul Jaiswal , Manel Martínez-Ramón , Tito Busani