Biclustering meets triadic concept analysis

Biclustering numerical data became a popular data-mining task at the beginning of 2000’s, especially for gene expression data analysis and recommender systems. A bicluster reflects a strong association between a subset of objects and a subset of attributes in a numerical object/attribute data-table. So-called biclusters of similar values can be thought as maximal sub-tables with close values. Only few methods address a complete, correct and non-redundant enumeration of such patterns, a well-known intractable problem, while no formal framework exists. We introduce important links between biclustering and Formal Concept Analysis (FCA). Indeed, FCA is known to be, among others, a methodology for biclustering binary data. Handling numerical data is not direct, and we argue that Triadic Concept Analysis (TCA), the extension of FCA to ternary relations, provides a powerful mathematical and algorithmic framework for biclustering numerical data. We discuss hence both theoretical and computational aspects on biclustering numerical data with triadic concept analysis. These results also scale to n-dimensional numerical datasets.     

Fast Simulation of the Functional Failure of an s – t-Network with Repair

An s – t-network with highly reliable edges with repair and variable external load is considered. A fast simulation method is proposed to evaluate the probability of functional failure when the real capacity of the network is less than the required capacity. It is proved that under some conditions the estimate has a bounded relative error as edges reliability increases. The numerical example illustrates the efficiency of the method.     

Systems for automating technological processes of synthetic fibre and yarn preparation

Conclusions -- Some basic special features in devising a panel-free technology in the manufacture of synthetic fibres and yarns have been examined.-- Some advantages of an approach based on parallel designing of the technological process and the control system over the traditional approach have been shown.-- The new methodical approach has found application in developing automation systems at a number of synthetic fibre and yarn manufacturing plants.Translated from Khimicheskie Volokna, No. 5, pp. 47–48, September–October, 1990.     

Developing an Algorithm for the Calculation of a Painting Chamber

Theoretical Foundations of Chemical Engineering - This team of authors presents the development of an algorithm and its practical application in the software for solving the problems of...     

Steel Protection from Carbon Dioxide Corrosion with Volatile Inhibitors. II. Vapor Phase

It was shown that the high neutralizing properties and volatilities of some of the inhibitors studied are insufficient to protect steel under these conditions. The inhibitive effect of modified, more hydrophobic aliphatic amines in carbon dioxide under conditions of periodical wetting proved to be enhanced. New inhibitors, namely, amine A and IFKhAN-72, are effective against carbon dioxide corrosion and retain their aftereffects for a long period of time.     

Alloying of Fe−Co−Ni−Al−Cu system alloys with hafnium and zirconium

Conclusions Alloying of Fe–Co–Ni–Al–Cu-base magnetically hard alloys with hafnium broadens the area of existence of the bcc solid solution. The oxidation resistance of the alloys increases and the temperature of the start of intense oxidation increases from 400 to 900°C.Translated from Metallovedenie i Termicheskaya Obrabotka Metallov, No. 4, pp. 51–53, April, 1987.     

Test complex for the onboard navigation system of an airport ground vehicle

An experimental model of the onboard integrated navigation system for airport ground vehicles designed for use as part of an advanced surface movement guidance and control system is considered. The technique and the results of field tests of the system are presented. The composition and design of the mobile test stand are described.     

Modeling of Conflicting Traffic Flows

A model of a network with conflicting input traffic flows is proposed. A Monte Carlo algorithm is formulated to evaluate the number of customers in queues by every light signal in real time. An algorithm is proposed that makes it possible to identify the traffic light mode (if exists) ensuring the stability of the network. A numerical example is considered.     

Markov model of a digital stochastic generator

A stochastic process generator based on a chain of modulo-two adders with asynchronous feedback loops is investigated. The generator dynamics is described by the Erlang equations. A mathematical model of the generated stochastic process is proposed. The implementation of the generator using modern electronic devices is considered.