Search results for "Sigmoid function"

showing 3 items of 13 documents

Periodic orbits of single neuron models with internal decay rate 0 < β ≤ 1

2013

In this paper we consider a discrete dynamical system x n+1=βx n – g(x n ), n=0,1,..., arising as a discrete-time network of a single neuron, where 0 &lt; β ≤ 1 is an internal decay rate, g is a signal function. A great deal of work has been done when the signal function is a sigmoid function. However, a signal function of McCulloch-Pitts nonlinearity described with a piecewise constant function is also useful in the modelling of neural networks. We investigate a more complicated step signal function (function that is similar to the sigmoid function) and we will prove some results about the periodicity of solutions of the considered difference equation. These results show the complexity of …

Quantitative Biology::Neurons and CognitionMathematical analysisActivation functionSigmoid functionstabilitySingle-valued functiondynamical systemError functionsymbols.namesakefixed pointModeling and SimulationMittag-Leffler functionStep functioniterative processsymbolsPiecewiseQA1-939nonlinear problemConstant functionAnalysisMathematicsMathematicsMathematical Modelling and Analysis
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Fuzzy sigmoid kernel for support vector classifiers

2004

This Letter proposes the use of the fuzzy sigmoid function presented in (IEEE Trans. Neural Networks 14(6) (2003) 1576) as non-positive semi-definite kernel in the support vector machines framework. The fuzzy sigmoid kernel allows lower computational cost, and higher rate of positive eigenvalues of the kernel matrix, which alleviates current limitations of the sigmoid kernel.

business.industryCognitive NeurosciencePattern recognitionSigmoid functionFuzzy logicComputer Science ApplicationsSupport vector machineKernel methodArtificial IntelligencePolynomial kernelKernel embedding of distributionsRadial basis function kernelLeast squares support vector machineArtificial intelligencebusinessMathematicsNeurocomputing
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Definition of the Rectum An International, Expert-based Delphi Consensus

2019

Mini: A radiological, anatomic distinction between the rectum and sigmoid colon was agreed by consensus of international experts in rectal cancer using the Delphi Technique. Use of this landmark, “the sigmoid take-off,” may harmonize efforts in research and clinical practice to improve patient outcomes. Background: The wide global variation in the definition of the rectum has led to significant inconsistencies in trial recruitment, clinical management, and outcomes. Surgical technique and use of preoperative treatment for a cancer of the rectum and sigmoid colon are radically different and dependent on the local definitions employed by the clinical team. A consensus definition of the rectum…

medicine.medical_specialtyanatomyRESECTIONConsensusDelphi TechniqueColorectal cancerAttitude of Health PersonnelDelphi methodRectumMesorectumGUIDELINESdigestive system03 medical and health sciencesAll institutes and research themes of the Radboud University Medical Center0302 clinical medicineColon SigmoidCOLONTumours of the digestive tract Radboud Institute for Molecular Life Sciences [Radboudumc 14]MANAGEMENTmedicineHumansPREOPERATIVE RADIOTHERAPYmedicine.diagnostic_testbusiness.industryRectal NeoplasmsGeneral surgeryRectumSigmoid colonMagnetic resonance imagingSigmoid functionmedicine.diseaseCANCERdigestive system diseasessigmoidmedicine.anatomical_structure030220 oncology & carcinogenesisRadiological weapon030211 gastroenterology & hepatologySurgerybusinessPOSTOPERATIVE CHEMORADIOTHERAPYMRIAnnals of Surgery
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