in this paper, we have outlined the surrogate management framework for optimization of expensive functions. an initial simple iterative method which we call the “strawman” method illustrates how surrogates can be incorporated into optimization to stand in for the most expensive function. these ideas are made rigorous by incorporating them into the framework of pattern search methods. the smf al...

The evolution of the probabilities of genetic identity within and between the loci of a multigene family is investigated. Unbiased gene conversion, equal crossing over, random genetic drift, and mutation to new alleles are incorporated. Generations are discrete and nonoverlapping; the diploid, monoecious population mates at random. The linkage map is arbitrary, and the location dependence of th...

0031-9007= We show that matter effects change the ! oscillation probability by as much as 70% for certain ranges of energies and path lengths. Consequently, the ! survival probability also undergoes large changes. A proper understanding of survival rates must consider matter effects in P as well as P e. We comment on (a) how these matter effects may be observed and the sign of 31 determined in ...

Model a network as an edge-weighted graph, where the (unknown) weight we of edge e indicates the frequency of observed interactions, and over time t we observe a Poisson(twe) number of interactions across edges e. How should we estimate some given statistic of the underlying network? This leads to wide-ranging and challenging problems, on which this article makes only partial progress.

The Lyapunov stability method is the most popular and applicable stability analysis tool of nonlinear dynamic systems. However, there are some bottlenecks in the Lyapunov method, such as need for negative definiteness of the Lyapunov function derivative in the direction of the system’s solutions. In this paper, we develop a new theorem to dispense the need for negative definite-ness of Lyapunov...

With visual analytical tools becoming more sophisticated and prevalent in the analysis communities, it is now apparent that understanding how analysts utilize these tools is more important than ever. Such understanding can lead to improving the tools, but a more subtle and equally important aspect lies in the discovery of the analysts’ reasoning process for solving complex problems through the ...

The title of my talk, “Living Neoplatonism,” is intentionally ambiguous, for it can refer, first, to Neoplatonism as a living philosophy rather than as a historical artifact embodied in the writings of Plotinus, Proclus, and the rest. And second, it can refer to the practice of living Neoplatonically as a modern way of life. But why Neoplatonism, as opposed to some other philosophy? From my per...