Data-Driven Fluid Mechanics 2023
DOI: 10.1017/9781108896214.022
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Advancing Reacting Flow Simulations with Data-Driven Models

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Cited by 8 publications
(6 citation statements)
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“…Local Principal Component Analysis (LPCA) is a dimensionality reduction technique, proposed by Kambhatla et al [37], based on the projection of high-dimensional data onto k sets of lower-dimensional manifolds. Although this algorithm was originally proposed for dimensionality reduction, it has been frequently utilized for clustering tasks in the last years [38][39][40][41]. In addition, it has been shown that, when applied to reacting flow databases, LPCA can ensure a better partitioning with respect to popular unsupervised algorithms such as k-Means and Self-Organzing Maps (SOMs) [32].…”
Section: Clustering Via Local Principal Component Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…Local Principal Component Analysis (LPCA) is a dimensionality reduction technique, proposed by Kambhatla et al [37], based on the projection of high-dimensional data onto k sets of lower-dimensional manifolds. Although this algorithm was originally proposed for dimensionality reduction, it has been frequently utilized for clustering tasks in the last years [38][39][40][41]. In addition, it has been shown that, when applied to reacting flow databases, LPCA can ensure a better partitioning with respect to popular unsupervised algorithms such as k-Means and Self-Organzing Maps (SOMs) [32].…”
Section: Clustering Via Local Principal Component Analysismentioning
confidence: 99%
“…• Initialization: the clusters' centers of mass (centroids) Additional information on the PCA decomposition and reconstruction error, as well as the on LPCA partitioning algorithm, can be found in [38][39][40][41].…”
Section: Clustering Via Local Principal Component Analysismentioning
confidence: 99%
“…However, as PCA assumes linearity, Frequently, it identifies additional components to compensate for non-linearity in the data, resulting in an overestimate of the actual number of dimensions in question, given that typical response flow data exhibit strong non-linear characteristics. To address this limitation of traditional PCA in non-linear systems, In the field of combustion research, there has been a proposal to utilize non-linear methods such as non-linear PCA, Kernel PCA (KPCA) [112], Isometric Mapping (IsoMap) [113], T-distributed Stochastic Neighbour Embedding (T-SNE) [114], and Autoencoders (AEs) [115] are some of the techniques used. Recently, fresh data-driven algorithms for regime identification using Convolutional Neural Networks (CNNs) have been developed [116].…”
Section: And DL Applications In Aero-engine Combustionmentioning
confidence: 99%
“…With the advent of data science [5,6,7], new challenges and research opportunities are emerging, related to how to make the best use of the data provided by experiments and high-fidelity simulations. A thorough description of the use of data-driven machine learning in combustion can be found in Ref.…”
Section: Introductionmentioning
confidence: 99%