Chaos An Interdisciplinary Journal of Nonlinear Science · 2019 · 43 citations · 29 references
EngineeringMechanical EngineeringPhysicsCombustionMachine LearningStatistical LearningChaos TheoryCombustion AnalysisCombustion KineticsCombustion ProcessesStatistical MechanicsSupport Vector MachinesCombustion DynamicsCombustor DynamicsComplexityDynamic Transient BehaviorIgnition DiagnosticsLarge-amplitude OscillationsPressure OscillationsSupport Vector Machine Classification
We conduct an experimental study on early detection of thermoacoustic combustion oscillations using a method combining statistical complexity and machine learning, including the characterization of intermittent combustion oscillations. Abrupt switching from aperiodic small-amplitude oscillations to periodic large-amplitude oscillations and vice versa appears in pressure fluctuations. The dynamic behavior of aperiodic small-amplitude pressure fluctuations represents chaos. The complexity-entropy causality plane effectively captures the subtle changes in the combustion state during a transition to well-developed combustion oscillations. The feature space of the complexity-entropy causality plane, which is obtained by a support vector machine, has potential use for detecting a precursor of combustion oscillations.
29
An overview of statistical learning theory
Vladimir Vapnik · IEEE Transactions on Neural Networks · 1999 · 6.2K citations
Distinguishing Noise from Chaos
Osvaldo A. Rosso, H.A. Larrondo, María T. Martín et al. · Physical Review Letters · 2007 · 711 citations · Full text
Intensive entropic non-triviality measure
Pedro W. Lamberti, María T. Martín, A. Plastino et al. · Physica A Statistical Mechanics and its Applications · 2003 · 350 citations