2007
Variable-free exploration of stochastic models: A gene regulatory network example
Erban R, Frewen TA, Wang X, Elston TC, Coifman R, Nadler B, Kevrekidis IG. Variable-free exploration of stochastic models: A gene regulatory network example. The Journal Of Chemical Physics 2007, 126: 155103. PMID: 17461667, DOI: 10.1063/1.2718529.Peer-Reviewed Original ResearchConceptsStochastic modelEquation-free approachLow-dimensional descriptionLong-time behaviorNetwork exampleAppropriate observablesStochastic simulationGood observablesGene regulatory networksObservablesComplex systemsDiffusion mapsSimulation dataPhysical variablesPrevious paperLong-term dynamicsAppropriate valuesDynamicsEigenvectorsLaplacianComputationRegulatory networksGraphModelRestriction procedures
2006
Diffusion wavelet packets
Bremer J, Coifman R, Maggioni M, Szlam A. Diffusion wavelet packets. Applied And Computational Harmonic Analysis 2006, 21: 95-112. DOI: 10.1016/j.acha.2006.04.005.Peer-Reviewed Original ResearchDiffusion waveletsWavelet packetEfficient algorithmImage denoisingSame algorithmMultiscale representationPacketsSignal processingWaveletsAlgorithmDenoisingGraphLower dimensionHigher dimensionsApplicationsTime-frequency basisComputationTaskCompressionAnisotropic settingProcessingRepresentationExampleOperatorsTool