The article is an analysis of selected works art Polish artists the 1970s: compositions by Adam Marczyński from Variable series (the second half 1960s and 1970s), Multipart action Tadeusz Kantor (1970) figures Karol Broniatowski (from Threat Big Man series, 1976-1977), in which title dispersion understood as a consequence disintegration prototype initiating further journey its already emancipat...

We propose a new method for a nonparametric estimation of Rényi and Shannon information for a multivariate distribution using a corresponding copula, a multivariate distribution over normalized ranks of the data. As the information of the distribution is the same as the negative entropy of its copula, our method estimates this information by solving a Euclidean graph optimization problem on the...

We consider time-dependent models for rotating accretion flows onto black holes, where a transition takes place from an outer cooling-dominated disc to a radiatively inefficient flow in the inner region. In order to allow for a transition of this type we solve the energy equation, both, for the gas and for the radiation field, including a radiative cooling flux and a turbulent convective heat f...

A grand challenge in the field of artificial life is to find a general theory of emergent self-organizing systems. In this paper we try to explain the emergent behavior of a simulated swarm by applying methods based on the fluctuation theorem. Empirical results indicate that the swarm is able to produce negative entropy within an isolated sub-system due to ‘frozen accidents’. Individuals of the...

This paper proposes a systemic perspective for some aspects of both phylogenesis and ontogenesis, in the light of the notion of “biological organization” as negative entropy, following some hints by Schrödinger. To this purpose, we introduce two extra principles to the thermodynamic ones, which are (mathematically) compatible with the traditional principles, but have no meaning in inert matter....

A toy model is analyzed in order to evaluate the linear stability of the gain region immediately behind a stalled accretion shock, after core bounce. This model demonstrates that a negative entropy gradient is not sufficient to warrant linear instability. The stability criterion is governed by the ratio χ of the advection time through the gain region divided by the local timescale of buoyancy. ...

The application of the Maximum Entropy (ME) principle leads to a minimum of the Mutual Information (MI), I(X,Y), between random variables X,Y, which is compatible with prescribed joint expectations and given ME marginal distributions. A sequence of sets of joint constraints leads to a hierarchy of lower MI bounds increasingly approaching the true MI. In particular, using standard bivariate Gaus...

In this work a comprehensive multi-step machine learning data mining and data visualization framework is introduced. The different steps of the approach are: preprocessing, clustering, and visualization. A preprocessing based on a Robust Principal Component Analysis Neural Network for feature extraction of unevenly sampled data is used. Then a Probabilistic Principal Surfaces approach combined ...

Detection of bearing faults is a challenging task since the impulsive pattern often fades into noise. Moreover, tracking health conditions rotating machinery generally requires characteristic frequencies components interest, which can be cumbersome constraint for large industrial applications because extensive number machine components. One recent method proposed in literature addresses these d...

The Gini index (GI), GI II, and III are proven to be effective sparsity measures in the fields of machine condition monitoring fault diagnosis, they can reformulated as ratio different quasi-arithmetic means (RQAM). Under this framework, generalized indices (GGIs) have been developed for sparse quantification by applying nonlinear weights GI, another form referred here power function-based I (P...