2022
DOI: 10.1016/j.neunet.2021.11.021
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Deep neural network enabled corrective source term approach to hybrid analysis and modeling

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Cited by 24 publications
(19 citation statements)
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“…• Predictive DT: In the current project, we used either a purely physics-based model or a data-driven model to predict the external and internal state of the house, but both approaches have inherent weaknesses, as discussed in [2]. Recent works [61], [62] have shown how a hybrid modeling approach can address these weaknesses and make accurate and more certain predictions, making it ideal for modeling partially understood physics and addressing the issues of input parameter uncertainties. For instance, [63] has already shown the applicability of accurately modeling heat transfer in an aluminum extraction process, which is similar to the building energy modeling considered in our work.…”
Section: Discussionmentioning
confidence: 99%
“…• Predictive DT: In the current project, we used either a purely physics-based model or a data-driven model to predict the external and internal state of the house, but both approaches have inherent weaknesses, as discussed in [2]. Recent works [61], [62] have shown how a hybrid modeling approach can address these weaknesses and make accurate and more certain predictions, making it ideal for modeling partially understood physics and addressing the issues of input parameter uncertainties. For instance, [63] has already shown the applicability of accurately modeling heat transfer in an aluminum extraction process, which is similar to the building energy modeling considered in our work.…”
Section: Discussionmentioning
confidence: 99%
“…Suppose now to endow the output manifold M n with a Riemannian metric g n , for example the Euclidean metric for a regression task. Then we can equip the other manifolds M i of the sequence (10) with a (in general singular) Riemannian metric g i via the pullback of g n through the layers Λ i , namely…”
Section: A Singular Riemannian Approach To Neural Networkmentioning
confidence: 99%
“…Neural Networks (NN) have been acknowledged to be a very powerful tool in machine learning tasks: A not fully comprehensive list of such tasks includes as speech-to-text transcription [1,2], image segmentation [3,4], image classification [5], match new items and/or products with user's interests [6], image morphing [7], imitation learning [8], solution to nonlinear PDEs [9,10], image generation [11,12]. The beginning of the new millennium has seen a growing interest in this automatic learning approach, due to the rising computational power (more performant GPUs) and the huge amount of data (the so-called Big Data Revolution).…”
Section: Introductionmentioning
confidence: 99%
“…Blakseth et al propose the system CoSTA [6]. They develop a hybrid strategy to complement a physics-based model with a second data-driven term that will be in charge of learning the corrections.…”
Section: Introductionmentioning
confidence: 99%
“…In [36], the authors proposed a hybrid twin of a hyperelastic beam with moving loads, displayed by means of augmented reality. In the field of perception and reasoning, Blakseth et al [6] exploits DDDAs in scene understanding in unknown scenarios. Schenck and Fox [44,45] propose a system for physical reasoning about liquids that is corrected from observations without physical priors.…”
Section: Introductionmentioning
confidence: 99%