The information deviation between any two finite measures cannot be increased by any statistical operations (Markov morphisms). It is invarient if and only if the morphism is sufficient for these two measures

Explicit formulas for the metric and affine connections on the space of finite measures and probability measures are derived in different coordinate systems. They are transformed and compared with previous formulas of Cencov, Amari, and others. These formulas are given for finite sample spaces...

Existing experiments do not disprove local realistic quantum theories. To overcome logical difficulties of the standard quantum theory, a nondeterministic irreversible local realistic theory was proposed, in which the wave-particle duality is objective in contrast to the complementarity...

Detailed calculation of the irreversible radiation processes leading to thermal radiation demonstrates that entropy is produced locally at each absorption and emission of a photon, lending strong support to an irreversible quantum theory.

Statistics requires consideration of the ``ideal estimates'' defined through the posterior mean of fractional powers of finite measures. In this paper we study , the linear space spanned by th power of finite measures, . It is shown that generalizes the Lebesgue function space , and shares most...

The standard quantum theory is mathematically incompatible with irreversible macroscopic theories. An alternative irreversible quantum theory is proposed, which also provides an explanation of measurement as a physical process. It is based on the postulate that the physical world is governed by...

Self-organizing maps (SOM) are unsupervised, competitive neural networks used to project high-dimensional data onto a low-dimensial space. In this article we show how SOM can be sued to draw graphs in the plane. The SOM-based approach to graph drawing, which belongs to the general class of...

We show that a wide variety of nonlinear cellular automata can be written as a semidirect product of linear ones, and that these CAs can be predicted in parallel time [cal O](log[super 2] t). This class includes any CA whose rule, when written as an algebra, is a solvable group. <p> We also show,...</p>

This paper describes the dynamics of adaptation in a two-country, overlapping generations economy with no restrictions on foreign currency holdings. Governments of both countries finance their deficits via seignorage. Agents in this economy are boundedly rational. They use the genetic algorithm...

We study the simple evolutionary process in which we repeatedly find the least fit agent in a population of agents and give it a new fitness which is chosen independently at random from a specified distribution. We show that many of the average properties of this process can be calculated...