2016
Effects of Symmetry on the Structural Controllability of Neural Networks: A Perspective
Whalen A, Brennan S, Sauer T, Schiff S. Effects of Symmetry on the Structural Controllability of Neural Networks: A Perspective. Proceedings Of The 2010 American Control Conference 2016, 2016: 5785-5790. PMID: 29176923, PMCID: PMC5699861, DOI: 10.1109/acc.2016.7526576.Peer-Reviewed Original ResearchGroup representation theoryStructural controllabilityMan-made networksDynamical systemsOptimal actuatorRepresentation theoryEffect of symmetryControl inputExplicit symmetryCritical actuatorsEngineering systemsComplex networksSymmetryControllabilityMinimum numberActuatorsCoupling structureStructural symmetryNeural networkNetworkRecent workTheorySystemBroad interest
2001
Differentiability implies continuity in neuronal dynamics
Francis J, So P, Gluckman B, Schiff S. Differentiability implies continuity in neuronal dynamics. Physica D Nonlinear Phenomena 2001, 148: 175-181. DOI: 10.1016/s0167-2789(00)00189-5.Peer-Reviewed Original ResearchNonlinear deterministic structureDeterministic structurePeriodic orbitsFundamental mathematical principlesPeriodic orbit structurePeriodic orbit theoryNeuronal dynamicsDifferentiable dynamicsMathematical principlesOrbit theoryOrbit structureMathematical functionsRegions of continuityJacobian transformationDifferentiabilityOnly continuityDynamicsOrbitPrevious approachesRecent workRestrictive testTheoryContinuityStructure
1994
Fast wavelet transformation of EEG
Schiff S, Aldroubi A, Unser M, Sato S. Fast wavelet transformation of EEG. Clinical Neurophysiology 1994, 91: 442-455. PMID: 7529683, DOI: 10.1016/0013-4694(94)90165-1.Peer-Reviewed Original ResearchConceptsFeature extractionWavelet transformOrdinary microprocessorsComputational demandsRedundant samplingComputational timeMultiresolution frameworkData window lengthReal timeWavelet transformationContinuous wavelet transformRapid algorithmWaveletsAnalysis of EEGExtractionWindow lengthBackground noiseTransformAlgorithmPolynomial splinesMicroprocessorFourier transform techniqueRecent workCertain advantagesNumerical techniques