Browsing Mathematics by Title
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Attractors of a randomly forced electronic oscillator
(Elsevier, 1999)This paper examines an electronic oscillator forced by a pseudorandom noise signal. We give evidence of the existence of one or more random attractors for the system depending on noise amplitude and system parameters. ... 
Authors response to communication about mathematical modeling of gonadotropinreleasing hormone signaling
(Elsevier, 20171004)Letter to the Editor: Authors response to communication about mathematical modeling of gonadotropinreleasing hormone signaling 
Automatic segmentation of episodes containing epileptic clonic seizures in video sequences
(Institute of Electrical and Electronics Engineers (IEEE), 201212)Epilepsy is a neurological disorder characterized by sudden, often unexpected transitions from normal to pathological behavioral states called epileptic seizures. Some of these seizures are accompanied by uncontrolled, ... 
Average values of Lseries for real characters in function fields
(SpringerOpen, 20161102)We establish asymptotic formulae for the first and second moments of quadratic Dirichlet L–functions, at the centre of the critical strip, associated to the real quadratic function field k( √ P) and inert imaginary ... 
Averaging and rates of averaging for uniform families of deterministic fastslow skew product systems
(Polish Academy of Sciences, Institute of Mathematics, 20170412)We consider families of fastslow skew product maps of the form xn+1 = xn + ǫa(xn, yn, ǫ), yn+1 = Tǫyn, where Tǫ is a family of nonuniformly expanding maps, and prove averaging and rates of averaging for the slow variables ... 
Bacterial secretion and the role of diffusive and subdiffusive first passage processes
(Public Library of Science (PLoS), 2012)By funneling protein effectors through needle complexes located on the cellular membrane, bacteria are able to infect host cells during type III secretion events. The spatiotemporal mechanisms through which these events ... 
Badly approximable affine forms and Schmidt games
(Elsevier for Academic Press, 20090808)For any real number θ, the set of all real numbers x for which there exists a constant c(x) > 0 such that infp∈Z θq − x − p ≥ c(x) q for all q ∈ Z\{0} is an 1/8winning set. 
Badly approximable systems of affine forms, fractals, and Schmidt games
(De Gruyter, 20110616)A badly approximable system of affine forms is determined by a matrix and a vector. We show Kleinbock's conjecture for badly approximable systems of affine forms: for any fixed vector, the set of badly approximable systems ... 
The Bayesian Decision Tree Technique with a Sweeping Strategy
(2004)The uncertainty of classification outcomes is of crucial importance for many safety critical applications including, for example, medical diagnostics. In such applications the uncertainty of classification can be reliably ... 
A Bayesian framework for verification and recalibration of ensemble forecasts: How uncertain is NAO predictability?
(arXiv.org, 20150408)Predictability estimates of ensemble prediction systems are uncertain due to limited numbers of past forecasts and observations. To account for such uncertainty, this paper proposes a Bayesian inferential framework that ... 
Bayesian history matching of complex infectious disease models using emulation: a tutorial and a case study on HIV in Uganda
(Public Library of Science, 201501)Advances in scientific computing have allowed the development of complex models that are being routinely applied to problems in disease epidemiology, public health and decision making. The utility of these models depends ... 
Bayesian inductively learned modules for safety critical systems
(Interface Foundation of North America, Inc., 2003)This work examines the use of Bayesian inductively learned software modules for safety critical systems. Central to the safety critical application is the desire to generate confidence measures associated with predictions. ... 
Bayesian model choice in cumulative link ordinal regression models
(International Society for Bayesian Analysis (ISBA), 20150128)The use of the proportional odds (PO) model for ordinal regression is ubiquitous in the literature. If the assumption of parallel lines does not hold for the data, then an alternative is to specify a nonproportional odds ... 
BeatBox  HPC Simulation Environment for Biophysically and Anatomically Realistic Cardiac Electrophysiology
(arXiv.org, 2017)The BeatBox simulation environment combines flexible script language user interface with the robust computational tools, in order to setup cardiac electrophysiology insilico experiments without recoding at lowlevel, so ... 
Behavioral realizations using companion matrices and the smith form
(Society for Industrial and Applied Mathematics, 20160101)Classical procedures for the realization of transfer functions are unable to represent uncontrollable behaviors. In this paper, we use companion matrices and the Smith form to derive explicit observable realizations for a ... 
Best practices for postprocessing ensemble climate forecasts, part I: selecting appropriate recalibration methods
(American Meteorological Society, 2016)This study describes a systematic approach to selecting optimal statistical recalibration methods and hindcast designs for producing reliable probability forecasts on seasonaltodecadal time scales. A new recalibration ... 
Beyond inphase and antiphase coordination in a model of joint action
(Springer Verlag (Germany), 20160608)In 1985, Haken, Kelso and Bunz proposed a system of coupled nonlinear oscillators as a model of rhythmic movement patterns in human bimanual coordination. Since then, the Haken–Kelso–Bunz (HKB) model has become a modelling ... 
A biascorrected decomposition of the Brier score
(Royal Meteorological Society, 2012)The Brier score is a widely used measure of performance for probabilistic forecasts of event occurrences and is often decomposed additively into three terms that quantify the reliability and resolution of the forecasts and ... 
Biclustering models for structured microarray data
(IEEE, 2005)Microarrays have become a standard tool for investigating gene function and more complex microarray experiments are increasingly being conducted. For example, an experiment may involve samples from several groups or may ...