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math.OC2019★ 1 cited
On a degeneracy ratio for bounded convex polytopes
Nada Cvetković, Han Cheng Lie
We consider a quantity that measures the roundness of a bounded, convex -polytope in . We majorise this quantity in terms of the smallest singular value of the mat…
math.OC2016★ 5 cited
Convexity of a stochastic control functional related to importance sampling of Itô diffusions
Han Cheng Lie
We consider the problem of rare event importance sampling, where the random variable of interest is a path functional of an Itô diffusion computed up to the first exit from a -d…