permGPU: Using graphics processing units in RNA microarray association studies.

BACKGROUND: Many analyses of microarray association studies involve permutation, bootstrap resampling and cross-validation, that are ideally formulated as embarrassingly parallel computing problems. Given that these analyses are computationally intensive, scalable approaches that can take advantage of multi-core processor systems need to be developed. RESULTS: We have developed a CUDA based implementation, permGPU, that employs graphics processing units in microarray association studies. We illustrate the performance and applicability of permGPU within the context of permutation resampling for a number of test statistics. An extensive simulation study demonstrates a dramatic increase in performance when using permGPU on an NVIDIA GTX 280 card compared to an optimized C/C++ solution running on a conventional Linux server. CONCLUSIONS: permGPU is available as an open-source stand-alone application and as an extension package for the R statistical environment. It provides a dramatic increase in performance for permutation resampling analysis in the context of microarray association studies. The current version offers six test statistics for carrying out permutation resampling analyses for binary, quantitative and censored time-to-event traits.

Invariant measure selection by noise. An example

We consider a deterministic system with two conserved quantities and infinity many invariant measures. However the systems possess a unique invariant measure when enough stochastic forcing and balancing dissipation are added. We then show that as the forcing and dissipation are removed a unique limit of the deterministic system is selected. The exact structure of the limiting measure depends on the specifics of the stochastic forcing.

Regularity of invariant densities for 1D systems with random switching

© 2015 IOP Publishing Ltd & London Mathematical Society.This is a detailed analysis of invariant measures for one-dimensional dynamical systems with random switching. In particular, we prove the smoothness of the invariant densities away from critical points and describe the asymptotics of the invariant densities at critical points.

Developing the Cost of Large Carnivore Conflict Rapid Response Units - A Namibian Case Study

Namibia is home to half the world’s remaining wild cheetahs and - provides critical habitat for lions, leopards, spotted and brown hyena and African Wild Dogs. Despite such ecological importance, only 5% of cheetah's, <1% of African Wild Dogs', and similar percentages of remaining habitat for other large carnivores exists on officially protected lands. As a result, human/carnivore conflict is a large problem on private lands, where 60% of surveyed farmers will shoot any large carnivore on sight. This project explores building a carnivore rapid response team equipped to mitigate human/carnivore conflict through researching the financial costs of such an endeavor, with an eye on capitalizing potential benefits to all 6 Namibian large carnivore species.