Dimensionality reduction and reduced-order modeling for traveling wave physics
Ariana Mendible, Steven L. Brunton, Aleksandr Y. Aravkin, Wes Lowrie, J. Nathan Kutz
Topics & Concepts
Robustness (evolution)Cluster analysisComputer scienceDimensionality reductionCurse of dimensionalityArtificial intelligenceSubspace topologyAlgorithmPartial differential equationField (mathematics)System identificationUnsupervised learningComplex systemExperimental dataTraveling waveNonlinear dimensionality reductionVariety (cybernetics)Identification (biology)Vector fieldPattern recognition (psychology)MathematicsMachine learningFeature (linguistics)Spectral methodCoordinate systemComputational Science and EngineeringReduction (mathematics)Numerical analysisSignal processingDiffusion mapRegressionData analysisData modelingSpectral clusteringSynthetic dataHigh dimensionalRegression analysisModel Reduction and Neural NetworksNeural Networks and Reservoir ComputingMachine Learning in Materials Science