most citedDynamic importance sampling for uniformly recurrent markov chains

66 citations · 124 across the 6 of their papers we have counts for

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math.PR200534 cited

On the convergence from discrete to continuous time in an optimal stopping problem

Paul Dupuis, Hui Wang

We consider the problem of optimal stopping for a one-dimensional diffusion process. Two classes of admissible stopping times are considered. The first class consists of all nonant…

math.PR200566 cited

Dynamic importance sampling for uniformly recurrent markov chains

Paul Dupuis, Hui Wang

Importance sampling is a variance reduction technique for efficient estimation of rare-event probabilities by Monte Carlo. In standard importance sampling schemes, the system is si…

math.PR2005

Explicit solution for a network control problem in the large deviation regime

Rami Atar, Paul Dupuis, Adam Shwartz

We consider optimal control of a stochastic network,where service is controlled to prevent buffer overflow. We use a risk-sensitive escape time criterion, which in comparison to th…

math.PR2005

An escape time criterion for queueing networks: Asymptotic risk-sensitive control via differential games

Rami Atar, Paul Dupuis, Adam Shwartz

We consider the problem of risk-sensitive control of a stochastic network. In controlling such a network, an escape time criterion can be useful if one wishes to regulate the occur…

math.PR2005

On Positive Recurrence of Constrained Diffusion Processes

Rami Atar, Amarjit Budhiraja, P. Dupuis

Let G \subset \R^k be a convex polyhedral cone with vertex at the origin given as the intersection of half spaces {G_i, i= 1, ..., N}, where n_i and d_i denote the inward normal an…

math.PR200424 cited

Large deviation asymptotics for occupancy problems

Paul Dupuis, Carl Nuzman, Phil Whiting

In the standard formulation of the occupancy problem one considers the distribution of r balls in n cells, with each ball assigned independently to a given cell with probability 1/…