Free Energy of Multiple Overlapping Chains

Minimizing Free Energy of Stochastic Functions of Markov Chains

Automatic speech recognition has generally been treated as a problem of Bayesian classification. This is suboptimal when the distributions of the training data do not match those of the test data to be recognized. In this paper we propose an alternate analogous classification paradigm, in which classes are modeled by thermodynamic systems, and classification is performed through a minimum energ...

Visualising multiple overlapping classification hierarchies

Energy characteristics of subordination chains

We consider subordination chains of simply connected domains with smooth boundaries in the complex plane. Such chains admit Hamiltonian and Lagrangian interpretations through the Löwner-Kufarev evolution equations. The action functional is constructed and its time variation is obtained. It represents the infinitesimal version of the action of the Virasoro-Bott group over the space of analytic u...

Calculation of the free energy of solvation for neutral analogs of amino acid side chains

The ability of the GROMOS96 force field to reproduce partition constants between water and two less polar solvents (cyclohexane and chloroform) for analogs of 18 of the 20 naturally occurring amino acids has been investigated. The estimations of the solvation free energies in water, in cyclohexane solution, and chloroform solution are based on thermodynamic integration free energy calculations ...

Monte Carlo approach to the evaluation of the configura - tional free energy of chains

The application of a Monte Carlo approach for computing the configurational free energy of chains is described. Whereas the effectiveness of the previous Monte Carlo methods is limited to the systems in which the energies of the stares (configurations) are not far from zero, the present approach can yield accurate estimates of the free energy of the systems with large configurational energy. Th...