We present surrogate-assisted parallel tempering for implementing Bayesian inference for large scale computationally expensive problems. The method is implemented using high performance computing environment that harnesses the advantage of parallel …

We have shown convergence of the SDP hierarchy of [27, 35] for optimizing homogeneous polynomials on the hypersphere. The key ingredient was a so-called real valued de Finetti theorem, inspired by tools used in quantum information theory. Our approa…

The author thanks Rudy Beran and Bill van Zwet for valuable critical comment on a draft of this article, the Editor and an Associate Editor for their helpful feedback, and Jerry for his hospitality during the interview and patience during the prepar…

In this paper we presented a new approach to the Hietarinta equation (1.4). From the consideration that the Hietarinta equation possesses the property of the consistency around the cube [38], but does not possess the discrete symmetries of the squar…

This study has presented and analysed findings from interviews with pioneering teachers and learners in complex systems in the higher education context. Complex systems has only relatively recently been taught at the higher education level, and so t…

We have presented a method for analyzing multimode Gaussian states in terms of their interferometric symmetries. These symmetries are generated by considering nullifiers for the state that are linear combinations of operators in the Schwinger repres…

The large-scale structure of the universe is thought to have been seeded by small fluctuations in the early universe. Although these structures were formed from overdensities of order δ∼10−5, larger amplitude fluctuations are thought to be able to p…