... by a modification of the expectation maximization maximum likelihood algorithm to take additional transition probability constraints into account and prove the convergence of this algorithm. Proof-of-concept examples demonstrate the potential of our method. dynamical systems maximum likelihood estimation entropic...

... approach that can reveal precious information on the physics of a variety of complex dynamical systems starting solely from the trajectories of their constitutive units. Built on a bivariate combination of two abstract descriptors, Local Environments and Neighbors Shuffling and TimeSmooth Overlap...

... relevance to environmental hygienists and public health researchers working on assessing the performance of aerosol removal rates for rail car fleets. Bayesian inference differential equations dynamical systems industrial hygiene mechanistic systems melding state-space models National Institute...

...Bao Le; Xiaoyue Niu; Tim Brown; Jeffrey W Imai-Eaton dynamical systems hierarchical model HIV epidemics Joint United Nations Programme National Institutes of Health 10.13039/100000002 National Institute of Allergy and Infectious Diseases 10.13039/100000060 R01AI136664...

... phenomena on which it depends. These assumptions, while strictly correct if the dependence relation in question can be expressed by continuous dynamical equations, should be handled with care: very often the descriptively relevant property of a dynamical system connecting high- and low-level phenomena...

... that lift off with backspin from those that lift off with topspin. The results are compared with recent experimental measurements on golf ball bounce and the theory is shown to capture the main features of the data. Coulomb friction Piecewise-smooth dynamical systems Impact mechanics EPSRC Doctoral...

...—each one of them very natural in its own right—and showing that both of them reduce to the partition given by the gradient flow under standard assumptions on the sampling density. clustering level sets cluster tree gradient lines gradient flow MeanShift algorithm dynamical systems ordinary...

..., which may be divided into cellular and compositional contexts. Inverse problem characterization dynamical systems web application gene expression Abstract Genetic circuits are subject to variability due to cellular and compositional contexts. Cells face changing internal states and environments...

... and dissemination is prompt. infectious diseases mathematical modeling dynamical systems National Institutes of Health 10.13039/100000002 National Institute of Allergy and Infectious Diseases 10.13039/100000060 Eq. ( 1 ) also reveals that, in general, variant identification occurs first in sequence data...

... error and temporal resolution of the active link reconstruction. networks of dynamical systems power grids network reconstruction cascading failures Italian Ministry for Research and Education 2017CWMF93 Given the fundamental relationship between connectivity and dynamics, the problem...

.... Several crop models have been implemented using the BioCro II framework, but it is a general purpose tool and can be used to model a wide variety of processes. Dynamical systems mechanistic crop growth simulation modular modelling multiscale modelling Bill and Melinda Gates Foundation 10.13039...

... merely on the observational time series. For the sake of self-consistence of this work, we hereby review this framework [ 23 ]. Let denote a time series of m states generated by an n-dimensional dynamical system (abbreviated as ) and be one of the interested target elements...

...Seth T Cowall; Matthew J Oliver; L Pamela Cook; Pia Moisander NPZ models phytoplankton blooms dynamical systems stability saddle points diffusion mixed layer depth solar radiation University of Delaware Department of Mathematical Sciences where (4) and being the unique solution...

... the usual matrices have been replaced by random matrices. We also estimate the -uncontrollability in the case where the matrices come from the Gaussian orthogonal ensemble. Our proof utilizes tools from systems theory, probability theory and convex geometry. controllability of dynamical systems random...

... network for the research of financial contagion. The mathematical description we present is in terms of Boolean dynamical systems and a linear operator. We relate the properties of the dynamical systems to the properties of the operator. interbank networks financial contagion systemic risk complex...

...-up drive and endogenous oscillations on behavior. alpha oscillations dynamical systems electroencephalography visual perception For the continuous drive task version, a response was considered a correct detection (a “hit”) if it occurred from 84 to 1000 ms after a target. Any response made...

... and models of interest may be stationary systems or processes. Within the framework, which is presented in terms of dynamical systems, empirical risk minimization can be studied as a two-step procedure in which (i) the trajectory of an observed (but unknown) system is fit by a trajectory of a known reference...

... constitute a model of information dynamics or be may be analysed purely for its mathematical properties [ 6 , 8 , 10 , 11 , 13 , 16 , 18 , 42–45 , 47 ]. Dynamical systems theory is a mathematical field studying the long-term behaviour of spaces under the action of a continuous function. In case...

... to approach dynamical systems theory from the perspective of Shannon’s “mathematical theory of communication” ( 1948 ), aka information theory ( Cover & Thomas, 2006 ). Information theory is a branch of probability theory that conceptualizes information as the opposite of probabilistic uncertainty...