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» Polynomial Approximations for Model Checking
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ICASSP
2011
IEEE
14 years 1 months ago
Sequential Monte Carlo method for parameter estimation in diffusion models of affinity-based biosensors
Estimation of the amounts of target molecules in realtime affinity-based biosensors is studied. The problem is mapped to inferring the parameters of a temporally sampled diffusio...
Manohar Shamaiah, Xiaohu Shen, Haris Vikalo
LICS
2002
IEEE
15 years 2 months ago
Probabilistic Abstraction for Model Checking: An Approach Based on Property Testing
istic Abstraction for Model Checking: an Approach Based on Property Testing∗ Sophie Laplante† Richard Lassaigne‡ Fr´ed´eric Magniez§ Sylvain Peyronnet† Michel de Rougemo...
Sophie Laplante, Richard Lassaigne, Fréd&ea...
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
14 years 11 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
NA
2010
85views more  NA 2010»
14 years 8 months ago
The reliability/cost trade-off for a class of ODE solvers
In the numerical solution of ODEs, it is now possible to develop efficient techniques that will deliver approximate solutions that are piecewise polynomials. The resulting methods...
Wayne H. Enright, Li Yan
VC
2008
102views more  VC 2008»
14 years 9 months ago
Solving nonlinear polynomial systems in the barycentric Bernstein basis
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...