Density estimates on the unit simplex and calculation of the mode of a sample

This paper addresses reliable and efficient calculation of the mode of a multivariate sample, which is a classical fusion function. In particular, we focus on the inputs given on the unit simplex, when aggregating elements of Atanassov intuitionistic fuzzy sets, interval-valued fuzzy sets and their extensions, as well as compositional data. We outline the use of a specially designed 2-additive fuzzy measures and the Choquet integral for the purposes of reducing computational complexity in higher dimensions. We present computational analysis and benchmark four different methods of density-based mode estimation.     

Special Issue on Deep Learning for Robotic Vision

International Journal of Computer Vision -     

Design of weave patterns: when engineering textiles meets music

This study aims to present a novel approach in creation of new patterns for woven textiles, which is based on musical scores. Such a design method has not been presented in the literature. It is based on the similarity between the music notation and the 2D coding of woven patterns. Theoretical and practical details on application of the design method are discussed. Weave patterns, based on famous musical pieces, are presented together with exemplary color designs. The four ‘musical’ patterns and their color designs could be considered as successful first attempts that open up additional opportunities for design and production of original, unique fabrics.     

Chloroform-extractable material from bituminous coals

Material soluble in chloroform has been extracted from bright bituminous coals of two different ranks

1. (1) following preheating to the temperatures of maximal plasticity;

2. (2) after treatment with sodium in liquid ammonia;

3. (3) by fractionating the pyridine extracts;

4. (4) after preliminary acetylation with acetic anhydride in the presence of pyridine.

The extracts were characterized by elemental analysis, average molecular weights, and n.m.r. and i.r. spectroscopy. The spectroscopic data afforded quantitative information on the distribution of hydrogen between various structural groups and some statistically averaged structural parameters. The results are discussed with regard to the mechanism of formation of the chloroform-extractable material during the various preliminary treatments of the coals.