We propose a recursive scheme to calculate backward the values of conditional expectations of functions of path values of Brownian motion. This schemes is based on the Clark-Ocone formula in discrete time. We construct an algorithm based our scheme to effectively calculate the price of American options on securities with path-dependent payoffs. Our algorithm remedies the decrease of performance...

The growing number of metagenomic studies in medicine and environmental sciences is creating new computational demands in the analysis of these very large datasets. We have recently proposed a timeefficient algorithm called Clark that can accurately classify metagenomic sequences against a set of reference genomes. The competitive advantage of Clark depends on the use of discriminative contiguo...

We present an improvement of an algorithm due to Clark and Thollard (Journal of Machine Learning Research, 2004) for PAC-learning distributions generated by Probabilistic Deterministic Finite Automata (PDFA). Our algorithm is an attempt to keep the rigorous guarantees of the original one but use sample sizes that are not as astronomical as predicted by the theory. We prove that indeed our algor...

Author Contributions:DrWright andMrMazori had full access to all the data in the study and take responsibility for the integrity of the data and the accuracy of the data analysis. Dr Wright andMrMazori are co–first authors and Dr Vleugels and Dr Femia are co–last authors. Study concept and design: Wright, Mazori, Patel, Femia, Vleugels. Acquisition, analysis, or interpretation of data: Wright, ...

Author(s): Diamant, Rolf | Abstract: In this "Letter from Woodstock," our columnist interviews the author of first-ever biography George Meléndez Wright, pioneering conservationist and namesake Wright Society.

â abstract territories glacier rig site in the south province chahar mahal and bakhtiari was studied with the aim tracing evidence of glacier activity , determining boundaries snow the, reconstruction of conditions past humidity and temperature , determining balance line of water and ice of late quaternary and reviews link between scattering cirques with aspects inequalities. with aspects. from...

We introduce a non-uniform subdivision algorithm that partitions the neighborhood of an extraordinary point in the ratio σ : 1 − σ, where σ ∈ (0, 1). We call σ the speed of the non-uniform subdivision and verify C continuity of the limit surface. For σ = 1/2, the Catmull-Clark limit surface is recovered. Other speeds are useful to vary the relative width of the polynomial spline rings generated...