Abstract Exponential random graph models have attracted significant research attention over the past decades. These models are maximum-entropy ensembles subject to the constraints that the expected values of a set of graph observables are equal to given values. Here we extend these maximum-entropy ensembles to random simplicial complexes, which are more adequate and versatile constructions to m...

Strangelets with non-zero entropy are studied within the MIT bag model. Explicit account is taken of the constraints that strangelets must be color neutral and have a xed total momentum. In general, masses increase with increasing entropy per baryon, and the constraints work so as to increase masses further. This has an important destabilizing e ect on strangelets produced in ultrarelativistic ...

By using the maximum entropy principle with Tsallis entropy we obtain a fragment size distribution function which undergoes a transition to scaling. This distribution function reduces to those obtained by other authors using Shannon entropy. The treatment is easily generalisable to any process of fractioning with suitable constraints.

In recent years, the cross-entropy method has been successfully applied to a wide range of discrete optimization tasks. In this paper we consider the cross-entropy method in the context of continuous optimization. We demonstrate the effectiveness of the cross-entropy method for solving difficult continuous multi-extremal optimization problems, including those with nonlinear constraints.

This paper presents an algorithm that applies a guided maximum entropy method to the network design problem. Network design problem is a well known NP-hard problem which almost always involves underdetermined systems, especially when routing policy has to be determined. The maximum entropy method is a relatively new technique for solving underdetermined systems. We adjusted the network design p...

The generalized entropic measure, which is optimized by a given arbitrary distribution under the constraints on normalization of the distribution and the finite ordinary expectation value of a physical random quantity, is considered and its Lesche stability property (that is different from thermodynamic stability) is examined. A general condition, under which the generalized entropy becomes sta...

The maximum entropy approach is a ,exible and powerful tool for density approximation. This paper proposes a sequential updating method to calculate the maximum entropy density subject to known moment constraints. Instead of imposing the moment constraints simultaneously, the sequential updating method incorporates the moment constraints into the calculation from lower to higher moments and upd...