64,472 research outputs found
Using models to model-check recursive schemes
We propose a model-based approach to the model checking problem for recursive
schemes. Since simply typed lambda calculus with the fixpoint operator,
lambda-Y-calculus, is equivalent to schemes, we propose the use of a model of
lambda-Y-calculus to discriminate the terms that satisfy a given property. If a
model is finite in every type, this gives a decision procedure. We provide a
construction of such a model for every property expressed by automata with
trivial acceptance conditions and divergence testing. Such properties pose
already interesting challenges for model construction. Moreover, we argue that
having models capturing some class of properties has several other virtues in
addition to providing decidability of the model-checking problem. As an
illustration, we show a very simple construction transforming a scheme to a
scheme reflecting a property captured by a given model.Comment: Long version of a paper presented at TLCA 201
Generalized gamma approximation with rates for urns, walks and trees
We study a new class of time inhomogeneous P\'olya-type urn schemes and give
optimal rates of convergence for the distribution of the properly scaled number
of balls of a given color to nearly the full class of generalized gamma
distributions with integer parameters, a class which includes the Rayleigh,
half-normal and gamma distributions. Our main tool is Stein's method combined
with characterizing the generalized gamma limiting distributions as fixed
points of distributional transformations related to the equilibrium
distributional transformation from renewal theory. We identify special cases of
these urn models in recursive constructions of random walk paths and trees,
yielding rates of convergence for local time and height statistics of simple
random walk paths, as well as for the size of random subtrees of uniformly
random binary and plane trees.Comment: Published at http://dx.doi.org/10.1214/15-AOP1010 in the Annals of
Probability (http://www.imstat.org/aop/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Recursive Alterations of the Relationship between Simple Membrane Geometry and Insertion of Amphiphilic Motifs
The shape and composition of a membrane directly regulate the localization, activity, and signaling properties of membrane associated proteins. Proteins that both sense and generate membrane curvature, e.g., through amphiphilic insertion motifs, potentially engage in recursive binding dynamics, where the recruitment of the protein itself changes the properties of the membrane substrate. Simple geometric models of membrane curvature interactions already provide prediction tools for experimental observations, however these models are treating curvature sensing and generation as separated phenomena. Here, we outline a model that applies both geometric and basic thermodynamic considerations. This model allows us to predict the consequences of recursive properties in such interaction schemes and thereby integrate the membrane as a dynamic substrate. We use this combined model to hypothesize the origin and properties of tubular carrier systems observed in cells. Furthermore, we pinpoint the coupling to a membrane reservoir as a factor that influences the membrane curvature sensing and generation properties of local curvatures in the cell in line with classic determinants such as lipid composition and membrane geometry
Models, Statistics, and Rates of Binary Correlated Sources
This paper discusses and analyzes various models of binary correlated
sources, which may be relevant in several distributed communication scenarios.
These models are statistically characterized in terms of joint Probability Mass
Function (PMF) and covariance. Closed-form expressions for the joint entropy of
the sources are also presented. The asymptotic entropy rate for very large
number of sources is shown to converge to a common limit for all the considered
models. This fact generalizes recent results on the information-theoretic
performance limit of communication schemes which exploit the correlation among
sources at the receiver.Comment: submitted for publicatio
A New Recursive Least-Squares Method with Multiple Forgetting Schemes
We propose a recursive least-squares method with multiple forgetting schemes
to track time-varying model parameters which change with different rates. Our
approach hinges on the reformulation of the classic recursive least-squares
with forgetting scheme as a regularized least squares problem. A simulation
study shows the effectiveness of the proposed method
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