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1.
A new transformation technique for reducing information entropy : a case study on greyscale raster images
Borut Žalik, Damjan Strnad, David Podgorelec, Ivana Kolingerová, Luka Lukač, Niko Lukač, Simon Kolmanič, Krista Rizman Žalik, Štefan Kohek, 2023, izvirni znanstveni članek

Opis: This paper proposes a new string transformation technique called Move with Interleaving (MwI). Four possible ways of rearranging 2D raster images into 1D sequences of values are applied, including scan-line, left-right, strip-based, and Hilbert arrangements. Experiments on 32 benchmark greyscale raster images of various resolutions demonstrated that the proposed transformation reduces information entropy to a similar extent as the combination of the Burrows–Wheeler transform followed by the Move-To-Front or the Inversion Frequencies. The proposed transformation MwI yields the best result among all the considered transformations when the Hilbert arrangement is applied.
Ključne besede: computer science, algorithm, string transformation, information entropy, Hilbert space filling curve
Objavljeno v DKUM: 22.05.2024; Ogledov: 87; Prenosov: 6
.pdf Celotno besedilo (26,44 MB)
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2.
Szeged-like entropies of graphs
Matthias Dehmer, Frank Emmert-Streib, Niko Tratnik, Petra Žigert Pleteršek, 2022, izvirni znanstveni članek

Ključne besede: Szeged entropy, Mostar entropy, PI entropy, cut method, quotient graphs, sensitivity of a topological descriptor
Objavljeno v DKUM: 20.05.2024; Ogledov: 87; Prenosov: 2
.pdf Celotno besedilo (3,17 MB)
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3.
Self-organization of enzyme-catalyzed reactions studied by the maximum entropy production principle
Andrej Dobovišek, Marko Vitas, Tina Blaževič, Rene Markovič, Marko Marhl, Aleš Fajmut, 2023, izvirni znanstveni članek

Opis: The self-organization of open reaction systems is closely related to specific mechanisms that allow the export of internally generated entropy from systems to their environment. According to the second law of thermodynamics, systems with effective entropy export to the environment are better internally organized. Therefore, they are in thermodynamic states with low entropy. In this context, we study how self-organization in enzymatic reactions depends on their kinetic reaction mechanisms. Enzymatic reactions in an open system are considered to operate in a non-equilibrium steady state, which is achieved by satisfying the principle of maximum entropy production (MEPP). The latter is a general theoretical framework for our theoretical analysis. Detailed theoretical studies and comparisons of the linear irreversible kinetic schemes of an enzyme reaction in two and three states are performed. In both cases, in the optimal and statistically most probable thermodynamic steady state, a diffusion-limited flux is predicted by MEPP. Several thermodynamic quantities and enzymatic kinetic parameters, such as the entropy production rate, the Shannon information entropy, reaction stability, sensitivity, and specificity constants, are predicted. Our results show that the optimal enzyme performance may strongly depend on the number of reaction steps when linear reaction mechanisms are considered. Simple reaction mechanisms with a smaller number of intermediate reaction steps could be better organized internally and could allow fast and stable catalysis. These could be features of the evolutionary mechanisms of highly specialized enzymes.
Ključne besede: enzymes, kinetic data analysis, steady state, self-organization, maximum entropy production
Objavljeno v DKUM: 08.05.2024; Ogledov: 163; Prenosov: 8
.pdf Celotno besedilo (2,57 MB)
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4.
An upper bound on topological entropy of the Bunimovich stadium billiard map
Jernej Činč, Serge Troubetzkoy, 2023, izvirni znanstveni članek

Opis: We show that the topological entropy of the billiard map in a Bunimovich stadium is at most log(3.49066).
Ključne besede: Bunimovich stadium billiard, topological entropy
Objavljeno v DKUM: 04.04.2024; Ogledov: 131; Prenosov: 10
.pdf Celotno besedilo (388,52 KB)
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5.
The maximum entropy production principle and linear irreversible processes
Paško Županović, Domagoj Kuić, Željana Bonačić Lošić, Dražen Petrov, Davor Juretić, Milan Brumen, 2010, izvirni znanstveni članek

Opis: It is shown that Onsager’s principle of the least dissipation of energy is equivalent to the maximum entropy production principle. It is known that solutions of the linearized Boltzmann equation make extrema of entropy production. It is argued, in the case of stationary processes, that this extremum is a maximum rather than a minimum.
Ključne besede: entropy production, linear nonequilibrium thermodynamics, linearized Boltzmann equation
Objavljeno v DKUM: 21.06.2017; Ogledov: 1186; Prenosov: 391
.pdf Celotno besedilo (107,41 KB)
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6.
Computing quadratic entropy in evolutionary trees
Drago Bokal, Matt DeVos, Sandi Klavžar, Aki Mimoto, Arne Ø. Mooers, 2011, izvirni znanstveni članek

Opis: Kvadratična entropija, ki jo je vpeljal Rao, je mera za biološko raznolikost. V članku opazimo, da je kvadratična entropija inačica uteženega Wienerjevega indeksa, ki je po drugi strani intenzivno raziskovana grafovska invarianta v matematični kemiji. To dejstvo omogoča izpeljavo nekaj učinkovitih algoritmov za izračunavanje kvadratične entropije v primeru danih listnih uteži. Na ultrametričnih drevesih je Pavoine vpeljal maksimum kvadratičnih entropij kot mero za paroma evolucijsko različnost v ohranitveni biologiji. Predstavljamo algoritem, ki maksimizira to količino v linearnem času, kar je pomembna izboljšava glede na obstoječe kvadratične programske pristope.
Ključne besede: teorija grafov, evolucijsko drevo, filogenetsko drevo, kvadratična entropija, različnost, Wienerjev indeks, graph theory, evolutionary tree, phylogenetic tree, quadratic entropy, originality, distinctness, Wiener index
Objavljeno v DKUM: 10.07.2015; Ogledov: 1246; Prenosov: 121
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7.
Computing quadratic entropy in evolutionary trees
Drago Bokal, Matt DeVos, Sandi Klavžar, Aki Mimoto, Arne Ø. Mooers, 2011

Opis: We note here that quadratic entropy, a measure of biological diversity introduced by Rao, is a variant of the weighted Wiener index, a graph invariant intensively studied in mathematical chemistry. This fact allows us to deduce some efficient algorithms for computing the quadratic entropy in the case of given tip weights, which may be useful for community biodiversity measures. Furthermore, on ultrametric phylogenetic trees, the maximum of quadratic entropy is a measure of pairwise evolutionary distinctness in conservation biology, introduced by Pavoine. We present an algorithm that maximizes this quantity in linear time, offering a significant improvement over the currently used quadratic programming approaches.
Ključne besede: teorija grafov, evolucijsko drevo, filogenetsko drevo, Wienerjev indeks, graph theory, evolutionary tree, phylogenetic tree, quadratic entropy, originality, distinctness, Wiener index
Objavljeno v DKUM: 10.07.2015; Ogledov: 1528; Prenosov: 101
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8.
On the problem of formulating principles in nonequilibrium thermodynamics
Paško Županović, Domagoj Kuić, Davor Juretić, Andrej Dobovišek, 2010, izvirni znanstveni članek

Opis: In this work, we consider the choice of a system suitable for the formulation of principles in nonequilibrium thermodynamics. It is argued that an isolated system is a much better candidate than a system in contact with a bath. In other words, relaxation processes rather than stationary processes are more appropriate for the formulation of principles in nonequilibrium thermodynamics. Arguing that slow varying relaxation can be described with quasi-stationary process, it is shown for two special cases, linear nonequilibrium thermodynamics and linearized Boltzmann equation, that solutions of these problems are in accordance with the maximum entropy production principle.
Ključne besede: thermodynamics, entropy, relaxation, stationary process, entropy production
Objavljeno v DKUM: 07.06.2012; Ogledov: 1576; Prenosov: 391
.pdf Celotno besedilo (73,34 KB)
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9.
Multicriteria evaluation of high-speed rail, transrapid Maglev and Air passenger transport in Europe
Milan Janić, 2003, izvirni znanstveni članek

Opis: This article deals with a multicriteria evaluation of High-Speed Rail, Transrapid Maglev and Air Passenger Transport in Europe. Operational, socio-economic and environmental performance indicators of the specific high-speed transport systems are adopted as the evaluation criteria. By using the entropy method, weights are assigned to particular criteria in order to indicate their relative importance in decision-making. The TOPSIS method is applied to carry out the multicriteria evaluation and selection of the preferable alternative (high-speed system) under given circumstances.
Ključne besede: high-speed transport systems, Europe, multicriteria analysis, entropy method, interest groups
Objavljeno v DKUM: 05.06.2012; Ogledov: 2668; Prenosov: 113
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