Search
Skip to Search Results 147Mathematical and Statistical Sciences, Department of
 147Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
 109Biological Sciences, Department of
 109Biological Sciences, Department of/Journal Articles (Biological Sciences)
 13The NSERC TRIA Network (TRIANet)
 13The NSERC TRIA Network (TRIANet)/Journal Articles (TRIANet)
 53Mark A. Lewis
 51Lewis, Mark A.
 31Kouritzin, Michael
 7Jonathan R. Potts
 6Krkošek, Martin
 6Stephanie J. Peacock

20150420
A large class of discretetime branching particle ﬁlters with Bayesian model selection capabilities and eﬀective resampling is introduced in algorithmic form, shown empirically to outperform the popular bootstrap algorithm and analyzed mathematically. The particles interact weakly in the...

2015
Kouritzin, Michael A., Newton, Fraser, Wu, Biao
A realtime algorithm to produce correlated random fields on general undirected graphs has been used in CAPTCHA generation and optical character recognition. This algorithm can not simulate all possible joint graph distributions but does match all marginal vertex distributions as well as...

2008
In this paper, we give a direct derivation of the Duncan–Mortensen–Zakai filtering equation, without assuming right continuity of the signal, nor its filtration, and without the usual finite energy condition. As a consequence, the Fujisaki–Kallianpur–Kunita equation is also derived. Our results...

1997
Kouritzin, Michael, Dawson, Donald
A general Hilbertspacebased stochastic averaging theory is brought forth herein for arbitraryorder parabolic equations with (possibly long range dependent) random coefficients. We use regularity conditions onView the MathML sourcewhich are slightly stronger than those required to prove...

1997
Herein, an averaging theory for the solutions to Cauchy initial value problems of arbitrary order,εdependent parabolic partial differential equations is developed. Indeed, by directly developing bounds between the derivatives of the fundamental solution to such an equation and derivatives of the...

2014
Kouritzin, Michael, Ren, Y.X.
Let ℓ be Lebesgue measure and X=(Xt,t≥0;Pμ) be a supercritical, superstable process corresponding to the operator −(−Δ)α/2u+βu−ηu2 on Rd with constants β,η>0 and α∈(0,2]. Put View the MathML source, which for each smallθ is an a.s. convergent complexvalued martingale with limit View the MathML...

2008
Kouritzin, Michael, Newton, Fraser, Orsten, Sterling, Wilson, Daniel
Classification of data as true or fabricated has applications in fraud detection and verification of data samples. In this paper, we apply nonlinear filtering to a simplified frauddetection problem: classifying coin flip sequences as either real or faked. On the way, we propose a method for...

2005
Kouritzin, Michael, Kim, H., Hu, Y., Ballantyne, D.
This paper addresses the problem of detecting and tracking an unknown number of submarines in a body of water using a known number of moving sonobuoys. Indeed, we suppose there are N submarines collectively maneuvering as a weakly interacting stochastic dynamical system, where N is a random...

2004
McCrosky, Jesse, Kouritzin, Michael, Blount, Douglas
A hybrid weighted/interacting particle filter, the selectively resampling particle (SERP) filter, is used to detect and track an unknown number of independent targets on a onedimensional \"racetrack\" domain. The targets evolve in a nonlinear manner. The observations model a sensor positioned...

20190101
Fazly, Mostafa, Lewis, Mark A, Wang, Hao
We study a hybrid impulsive reactionadvectiondiffusion model given by a reactionadvectiondiffusion equation composed with a discretetime map in space dimension $n\in\mathbb N$. The reactionadvectiondiffusion equation takes the form \begin{equation}\label{} u^{(m)}_t = \text{div}(A\nabla...