We revisit the classical population genetics model of a population evolving under multiplicative selection, mutation, and drift. The number of beneficial alleles in a multilocus system can be considered a trait under exponential selection. Equations of motion are derived for the cumulants of the trait distribution in the diffusion limit and under the assumption of linkage equilibrium. Because o...

The H2/H∞ control problem is well known in the control community. It mixes the results of two powerful control techniques; to balance two objectives: minimizing the H2 norm of the system, while constraining the system’s H∞ norm. In the presence of random noise, this is akin to solving a Nash game with the players’ objectives to minimize the mean of their costs. In this chapter, recent trends in...

In this correspondence the cumulants of the mutual information of the flat Rayleigh fading amplify-and-forward MIMO relay channel without direct link between source and destination are derived in the large array limit. The analysis is based on the replica trick and covers both spatially independent and correlated fading in the first and the second hop, while beamforming at all terminals is rest...

Difference co-array can be constructed by using Khatri-Rao (KR) product, which can increase the degrees of freedom (DOF) significantly. Combined with fourth order cumulants, the KR product can be used to constructed fourth order difference co-array. The fourth order difference co-array of a four level nested array contains a uniform linear array (ULA), however, its second order difference co-ar...

Mix-cumulants of conserved charge distributions are sensitive observables for probing properties the QCD medium and phase transition in heavy-ion collisions. To perform precise measurements, efficiency correction is one most important step. In this study, using binomial model, we derive formulas mutually exclusive inclusive variables. The UrQMD model applied to verify validity these different t...

We measure field-strength and their correlators in presence of a static qq̄ pair by numerical simulations. We give an interpretation of these data in terms of quadratic and quartic cumulants.

In this contribution we present new conditions on cross cumulants which guarantee that blind source separation has been performed , and we relate these conditions to the maximization of mutual information as a criterion for ICA.

We establish connections between the lattices of non-crossing partitions of type B introduced by V. Reiner, and the framework of the free probability theory of D. Voiculescu. Lattices of non-crossing partitions (of type A, up to now) have played an important role in the combinatorics of free probability, primarily via the noncrossing cumulants of R. Speicher. Here we introduce the concept of no...

Recovering independent source signals from their nonlinear mixtures is a very important issue in many fields. Joint approximate diagonalization of eigenmatrices (JADE) is an efficient method which utilizes fourth-order cumulants of signals. However it cannot deal with nonlinear problem. This paper proposes a robust radial basis function network (RBFN) approach by using higher-order cumulants wh...