A Note on Perfect Slice Sampling

Perfect slice sampling is a method to turn Markov Chain Monte Carlo (MCMC) samplers into exact generators for independent random variates. We show that the simplest version of the perfect slice sampler suggested in the literature does not always sample from the target distribution. (author's abstract)Series: Research Report Series / Department of Statistics and Mathematic

A Note on the Folding Coupler

Perfect Gibbs sampling is a method to turn Markov Chain Monte Carlo (MCMC) samplers into exact generators for independent random vectors. We show that a perfect Gibbs sampling algorithm suggested in the literature is not always generating from the correct distribution. (author's abstract)Series: Research Report Series / Department of Statistics and Mathematic

Sampling from Linear Multivariate Densities

It is well known that the generation of random vectors with non-independent components is difficult. Nevertheless, we propose a new and very simple generation algorithm for multivariate linear densities over point-symmetric domains. Among other applications it can be used to design a simple decomposition-rejection algorithm for multivariate concave distributions.Series: Research Report Series / Department of Statistics and Mathematic

The Manometer Task – A Task to Induce Steady Mental Load

With the Manometer Task (MNT) cognitive performance can be examined under conditions of constantly elevated mental load. An adaptive algorithm continuously adjusts the task difficulty in accordance to the previous individual performance. The task concept is described and the psychometric properties are reported for the recommended MNT-configuration with data of N = 2084 candidates. The results showed that the mean reaction times are unrelated to the performance quality of the respective individual. Although, the individual performance quality showed moderate stability across the three levels of task complexity (.32 < r < .34), we did not observe substantial correlations to other tests of cognitive performance. Gender differences were insignificant. Also, age correlations are small (r < .10). Several examples of different practical applications showed how the MNT can be applied to monitor individual performance under the influence of different external stressors

Multiphoton microscopy and ultrafast spectroscopy: Imaging meets quantum (MUSIQ) roadmap

In April 2019 the EU Marie Skłodowska-Curie Actions (MSCA) Innovative Training Networks (ITN) MUSIQ officially started. The network brought together a unique team of world-leading academics and industrial partners at the forefront of optical micro-spectroscopy and ultrafast laser technology developments merged with fundamental studies of coherent light-matter interaction phenomena, development of quantitative image analysis tools beyond state-of-the-art, and biomedical/pharmaceutical real-world applications. The unique vision of MUSIQ has been to develop and apply the next-generation optical microscopy technologies exploiting quantum coherent nonlinear phenomena. This Roadmap has been written collectively by the MUSIQ early-stage researchers and their supervisors. It provides a summary of the achievements within MUSIQ to date, with an outlook towards future directions