Relevant bibliographies by topics / Entropic criterion

Academic literature on the topic 'Entropic criterion'

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Published: 1 June 2024

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Journal articles on the topic "Entropic criterion":

1

Korpyś, Mateusz, Anna Gancarczyk, Marzena Iwaniszyn, Katarzyna Sindera, Przemysław J. Jodłowski, and Andrzej Kołodziej. "Analysis of Entropy Production in Structured Chemical Reactors: Optimization for Catalytic Combustion of Air Pollutants." Entropy 22, no. 9 (September 11, 2020): 1017. http://dx.doi.org/10.3390/e22091017.

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Optimization of structured reactors is not without some difficulties due to highly random economic issues. In this study, an entropic approach to optimization is proposed. The model of entropy production in a structured catalytic reactor is introduced and discussed. Entropy production due to flow friction, heat and mass transfer and chemical reaction is derived and referred to the process yield. The entropic optimization criterion is applied for the case of catalytic combustion of methane. Several variants of catalytic supports are considered including wire gauzes, classic (long-channel) and short-channel monoliths, packed bed and solid foam. The proposed entropic criterion may indicate technically rational solutions of a reactor process that is as close as possible to the equilibrium, taking into account all the process phenomena such as heat and mass transfer, flow friction and chemical reaction.
2

Tseng, Chih-Yuan. "Entropic criterion for model selection." Physica A: Statistical Mechanics and its Applications 370, no. 2 (October 2006): 530–38. http://dx.doi.org/10.1016/j.physa.2006.03.024.

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SU, HONG-YI, JING-LING CHEN, CHUNFENG WU, DONG-LING DENG, and C. H. OH. "DETECTING EINSTEIN–PODOLSKY–ROSEN STEERING FOR CONTINUOUS VARIABLE WAVEFUNCTIONS." International Journal of Quantum Information 11, no. 02 (March 2013): 1350019. http://dx.doi.org/10.1142/s0219749913500196.

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By use of Reid's criterion and the entropic criterion, we investigate the Einstein–Podolsky–Rosen (EPR) steering for some entangled continuous variable wavefunctions. We find that some entangled states that violate Bell's inequality will not violate Reid's EPR inequality nor the entropic inequality. This implies that neither criterion gives a necessary and sufficient condition to detect the EPR steering.
4

GULKO, LES. "THE ENTROPIC MARKET HYPOTHESIS." International Journal of Theoretical and Applied Finance 02, no. 03 (July 1999): 293–329. http://dx.doi.org/10.1142/s0219024999000170.

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Information theory teaches that entropy is the fundamental limit for data compression, and electrical engineers routinely use entropy as a criterion for efficient storage and transmission of information. Since modern financial theory teaches that competitive market prices store and transmit information with some efficiency, should financial economists be concerned with entropy? This paper presents a market model in which entropy emerges endogenously as a condition for the operational efficiency of price discovery while entropy maximization emerges as a condition for the informational efficiency of market prices. The maximum-entropy formalism makes the efficient market hypothesis operational and testable. This formalism is used to establish that entropic markets admit no arbitrage and support both the Ross arbitrage pricing theory and the Black–Scholes stock option pricing model.
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Sobolev, Sergey L., and Igor V. Kudinov. "Extended Nonequilibrium Variables for 1D Hyperbolic Heat Conduction." Journal of Non-Equilibrium Thermodynamics 45, no. 3 (July 26, 2020): 209–21. http://dx.doi.org/10.1515/jnet-2019-0076.

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AbstractWe use the Shannon (information) entropy to define an “entropic” temperature for 1D nonequilibrium system with heat flux. In contrast to the kinetic temperature, which is related to the average kinetic energy, the nonequilibrium entropic temperature is related to the changes in entropy and serves as a criterion for thermalization. However, the direction and value of the heat flux is controlled by the gradient of the kinetic temperature, whereas space-time evolution and the space-time evolution of the heat flux are governed by the hyperbolic heat conduction equation. The extended nonequilibrium variables, namely, entropy, entropic temperature, thermal conductivity, and heat capacity demonstrate a third-law-like behavior at high deviation from equilibrium when the heat flux tends to its maximum value, even at nonzero value of the kinetic temperature. The ratio of the heat flux to its maximum possible value plays a role of an order parameter – it varies from zero in the equilibrium (disordered) state to unity in the nonequilibrium (ordered) state.
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Amari, Shun-ichi, and Noboru Murata. "Statistical Theory of Learning Curves under Entropic Loss Criterion." Neural Computation 5, no. 1 (January 1993): 140–53. http://dx.doi.org/10.1162/neco.1993.5.1.140.

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The present paper elucidates a universal property of learning curves, which shows how the generalization error, training error, and the complexity of the underlying stochastic machine are related and how the behavior of a stochastic machine is improved as the number of training examples increases. The error is measured by the entropic loss. It is proved that the generalization error converges to H0, the entropy of the conditional distribution of the true machine, as H0 + m*/(2t), while the training error converges as H0 - m*/(2t), where t is the number of examples and m* shows the complexity of the network. When the model is faithful, implying that the true machine is in the model, m* is reduced to m, the number of modifiable parameters. This is a universal law because it holds for any regular machine irrespective of its structure under the maximum likelihood estimator. Similar relations are obtained for the Bayes and Gibbs learning algorithms. These learning curves show the relation among the accuracy of learning, the complexity of a model, and the number of training examples.
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Rekik, Sawsan, and Noureddine Ellouze. "QRS detection combining entropic criterion and wavelet transform." International Journal of Signal and Imaging Systems Engineering 9, no. 4/5 (2016): 299. http://dx.doi.org/10.1504/ijsise.2016.078264.

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Mercurio, Peter Joseph, Yuehua Wu, and Hong Xie. "Option Portfolio Selection with Generalized Entropic Portfolio Optimization." Entropy 22, no. 8 (July 22, 2020): 805. http://dx.doi.org/10.3390/e22080805.

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In this third and final paper of our series on the topic of portfolio optimization, we introduce a further generalized portfolio selection method called generalized entropic portfolio optimization (GEPO). GEPO extends discrete entropic portfolio optimization (DEPO) to include intervals of continuous returns, with direct application to a wide range of option strategies. This lays the groundwork for an adaptable optimization framework that can accommodate a wealth of option portfolios, including popular strategies such as covered calls, married puts, credit spreads, straddles, strangles, butterfly spreads, and even iron condors. These option strategies exhibit mixed returns: a combination of discrete and continuous returns with performance best measured by portfolio growth rate, making entropic portfolio optimization an ideal method for option portfolio selection. GEPO provides the mathematical tools to select efficient option portfolios based on their growth rate and relative entropy. We provide an example of GEPO applied to real market option portfolio selection and demonstrate how GEPO outperforms traditional Kelly criterion strategies.
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Krstić, Vladimir R., and Miroslav L. Dukić. "Decision Feedback Blind Equalizer with Tap-Leaky Whitening for Stable Structure-Criterion Switching." International Journal of Digital Multimedia Broadcasting 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/987039.

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The research presented in this paper improves the structure-criterion switching performance of the blind decision feedback equalizer (DFE) which eliminates error propagation effects by optimizing both the structure and the cost criterion. To conquer the complexity of the 64-QAM (quadrature amplitude modulated) signal constellation, the stochastic entropy-gradient algorithm is additionally regularized by the coefficient leaky term to avoid a coefficients norm overgrowth of the received signal whitener. Effectively, the leak of coefficients is employed to ensure a stable structure-criterion switching of DFE between blind and decision-directed operation modes. The optimization of the resulting whitening algorithm is achieved by means of two free, leaky and entropic, parameters which act in opposition to each other. Both, the influence of the 64-QAM signal on the feedback filter behavior and the parametric optimization of the whitening algorithm are analyzed through simulations.
10

Rekik, Sawsan, and Noureddinne Ellouze. "P-Wave Detection Combining Entropic Criterion and Wavelet Transform." Journal of Signal and Information Processing 06, no. 03 (2015): 217–26. http://dx.doi.org/10.4236/jsip.2015.63020.

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Journal articles Dissertations / Theses

Dissertations / Theses on the topic "Entropic criterion":

1

Olson, Christopher. "Entropy as a Criterion for Variable Reduction in Cluster Data." Thesis, North Dakota State University, 2012. https://hdl.handle.net/10365/26760.

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Entropy is a measure of the randomness of a system state. This quantity gives us a measure of uncertainty that is associated with each particular observation belonging to a specific cluster. We examine this property and its potential use in analyzing high dimension datasets. Entropy proves most interesting in identifying possible dimensions that do not contribute meaningful classification to the clusters present. We can remove the dimension(s) found which are the least important and generalize this idea to a procedure. After identifying all the dimensions that should be eliminated from the dataset, we then compare its ability in recovering the true classification of the observations versus the estimated classification of the data. From the results obtained and shown in this paper, it is clear that entropy is a good candidate for a criterion in variable reduction.
2

Vuong, Christophe. "Contributions to stochastic analysis for non-diffusive structures." Electronic Thesis or Diss., Institut polytechnique de Paris, 2023. http://www.theses.fr/2023IPPAT054.

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Cette thèse a pour sujet l'étude de structures sans propriété de diffusion. Nous nous intéressons à deux classes de telles structures.Le premier sujet traite du calcul de Malliavin pour les variables aléatoires conditionnellement indépendantes qui est un cas de calcul de Malliavin discret. Il généralise aussi celui théorisé sur des produits dénombrables d'espaces de probabilité, pour les variables aléatoires indépendantes. Dans notre cas, l'intérêt d'un tel calcul est de venir compléter des résultats d'analyse stochastique avec des preuves d'inégalités fonctionnelles (inégalité de Poincaré, inégalité de McDiarmid) et de théorèmes limites. Une des applications phares est la détermination de la vitesse de convergence de théorèmes centraux limites via la méthode de Stein. En combinant le calcul de Malliavin avec la structure de Dirichlet sous-jacente aux variables aléatoires, nous obtenons une formule d'intégration par parties cruciale pour déterminer des bornes supérieures sur les vitesses de convergence. Nous montrons des théorèmes limites quantitatifs, dont un théorème de quatrième moment avec reste. En particulier, nous discutons d'une application à la normalité asymptotique du comptage de motifs dans des hypergraphes aléatoires échangeables.Le deuxième sujet étudie les fonctionnelles d'une mesure de Poisson en utilisant la notion d'inversibilité de transformations de cette mesure sur l'espace échantillon des mesures aléatoires. Nous utilisons l'identification de ces mesures et des processus ponctuels marqués associés. Les transformations inversibles sont obtenues via le théorème de Girsanov, en respectant l'absolue continuité par rapport à la mesure de référence. Il en résulte un critère entropique pour l'inversibilité des transformations. Enfin, nous faisons le lien avec les équations différentielles stochastiques dirigées par des mesures de Poisson
This thesis is concerned with the study of non-diffusive structures. We focus on two classes of such structures.The first subject deals with Malliavin calculus for conditionally independent random variables, which is a special case of discrete Malliavin calculus. It also generalizes the calculus that has been developed for countable products of probability spaces, for independent random variables.In our case, the interest of such a calculus is to complement results in stochastic analysis with proofs of functional inequalities (Poincaré inequality, McDiarmid's inequality) and limit theorems. One of the main applications is the determination of the convergence rate of central limit theorems via the Stein method.By combining Malliavin calculus with the underlying Dirichlet structure of the random variables, we obtain an integration by parts formula which is key to the derivations of so-called Stein bounds of the rates of convergence. We show quantitative limit theorems, including a fourth moment theorem with remainder. In particular, we discuss an application to the asymptotic normality of motif counting in exchangeable random hypergraphs.The second subject studies functionals of a Poisson measure using the notion of invertibility of transformations of that measure on the sample space of random measures. We use the identification of these measures and the associated marked point processes. Invertible transformations are obtained via the Girsanov's theorem, respecting absolute continuity with respect to the reference measure. This results in an entropy criterion for the invertibility of transformations. Finally, we make the connection with stochastic differential equations driven by Poisson measures
3

Hertz, Anaëlle. "Exploring continuous-variable entropic uncertainty relations and separability criteria in quantum phase space." Doctoral thesis, Universite Libre de Bruxelles, 2018. https://dipot.ulb.ac.be/dspace/bitstream/2013/267632/5/ContratAH.pdf.

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The uncertainty principle lies at the heart of quantum physics. It exhibits one of the key divergences between a classical and a quantum system: it is impossible to define a quantum state for which the values of two observables that do not commute are simultaneously specified with infinite precision. A paradigmatic example is given by Heisenberg’s original formulation of the uncertainty principle expressed in terms of variances of two canonically-conjugate variables, such as position x and momentum p, which was later generalized to a symplectic-invariant form by Schrödinger and Robertson. A different kind of uncertainty relations, originated by Białynicki-Birula and Mycielski, again for canonically-conjugate variables, relies on Shannon entropy instead of variances as a measure of uncertainty. In this thesis, we suggest several improvements of these entropic uncertainty relations and highlight the fact that they are better formulated in terms of entropy power, a notion borrowed from the information theory of real-valued signals. Our first novel entropic uncertainty relation takes x-p correlations into account and is consequently saturated by all pure Gaussian states in an arbitrary number of modes, improving on the original formulation by Białynicki-Birula and Mycielski. Our second main result is the derivation of an entropic uncertainty relation that holds for any n-tuples of not-necessarily canonically conjugate variables based on the matrix of their commutators. We then define a general form of the entropic uncertainty principle that combines both previous results. It expresses the incompatibility between two arbitrary variable n-uples and is saturated by all pure Gaussian states. Interestingly, we can also deduce from it the most general form of the Robertson uncertainty relation based on the covariance matrix of n variables.This line of research underlines the interest of defining an entropic uncertainty relation that is intrinsically invariant under symplectic transformations. Then, as a first attempt to reach this goal, we conjecture a symplectic-invariant uncertainty relation that is based on the joint differential entropy of the Wigner function. This conjecture is, however, only legitimate for states with a non-negative Wigner function. We also suggest a complex extension of this so-called Wigner entropy, which could provide the way towards an extension (and proof) of the above conjecture for all states. As a second attempt, we introduce the notion of multi-copy uncertainty observables, exploiting a connection with the algebra of angular momenta. Expressing the positivity of the variance of our multi-copy observable coincides with the Schrödinger-Robertson uncertainty relation, which suggests that the discrete Shannon entropy of such an uncertainty observable provides a new symplectic-invariant measure of uncertainty.Currently available separability criteria for continuous-variable systems imply a necessary and sufficient condition for a two-mode Gaussian state to be separable, but leave many entangled non-Gaussian states undetected. In this thesis, we introduce two improved separability criteria that enable a stronger entanglement detection. The first improved condition is based on the knowledge of an additional parameter, namely the degree of Gaussianity, and exploits a connection with Gaussianity-bounded uncertainty relations by Mandilara and Cerf. We exhibit families of non- Gaussian entangled states whose entanglement remains undetected by the Duan- Simon criterion. The second improved separability criterion is based on our improved entropic uncertainty relation that takes x-p correlations into account, and has the main advantage over the one proposed by Walborn et al. that it does not require any optimization procedure.
Le principe d’incertitude se situe au cœur de la physique quantique. Il représente l’une des différences majeures entre des systèmes classiques et quantiques, soit qu’il est impossible de définir un état quantique pour lequel deux observables qui ne commutent pas auraient des valeurs spécifiées simultanément et avec une précision infinie. La formulation originale du principe d’incertitude est due à Heisenberg et est exprimée en termes des variances de deux variables canoniquement conjuguées, telles que la position x et l’impulsion p. Cela fut par la suite généralisé par Schrödinger et Robertson qui ont donné au principe d’incertitude une forme invariante sous transformations symplectiques. Si l’incertitude est mesurée à l’aide de l’entropie différentielle de Shannon plutôt que des variances, il est alors possible de définir d’autres types de relations d’incertitude. Originellement introduites par Białynicki-Birula et Mycielski, elles expriment également l’incompatibilité entre deux variables canoniquement conjuguées. Dans cette thèse, nous proposons différentes améliorations de ces relations d’incertitude entropiques et mettons particulièrement l’accent sur le fait qu’elles s’expriment mieux sous forme de puissances entropiques, une notion empruntée à la théorie de l’information. En premier lieu, nous introduisons une nouvelle relation d’incertitude entropique qui tient compte des corrélations x-p et qui est par conséquent saturée par tous les états purs Gaussiens, ce qui représente une amélioration par rapport à la formulation originale de Białynicki- Birula et Mycielski. En second lieu, nous dérivons une relation d’incertitude entropique valide pour tous les n-uplets de variables non nécessairement canoniquement conjuguées et basée sur la matrice de leurs commutateurs. Nous définissons ensuite une forme plus générale du principe d’incertitude entropique qui combine les deux résultats précédents. Il exprime l’incompatibilité entre deux n-uplets arbitraires de variables et est saturé par tous les états purs Gaussiens. Notons que de ce principe d’incertitude entropique, nous pouvons déduire la forme la plus générale de la relation d’incertitude de Robertson, basée sur la matrice de covariance de n variables. Les résultats précédents soulignent un des points essentiels de notre axe de recherche: définir une relation d’incertitude entropique intrinsèquement invariante sous trans- formations symplectiques. Afin d’atteindre cet objectif, notre première tentative est de conjecturer une relation d’incertitude — invariante sous transformations symplectiques — basée sur l’entropie différentielle jointe de la fonction de Wigner. Cette conjecture n’est cependant légitime que pour des états décrits par une fonction de Wigner non-négative. Nous proposons aussi une extension complexe de cette en- tropie dite entropie de Wigner, qui pourrait ouvrir la voie vers une extension (et une preuve) de la conjecture proposée ci-dessus qui serait alors valide pour tous les états quantiques. Comme seconde tentative, en exploitant une connexion avec l’algèbre des moments angulaires, nous introduisons la notion d’observables d’incertitude agissant sur plusieurs copies d’un état. Exprimer la positivité de la variance de notre observable coïncide avec la relation d’incertitude de Schrödinger-Robertson, ce qui suggère que l’entropie discrète de Shannon d’une telle observable fournit une nouvelle mesure de l’incertitude. Cette relation d’incertitude est invariante sous transformations symplectiques.Les critères de séparabilité actuellement disponibles pour les variables continues donnent une condition nécessaire et suffisante afin qu’un état Gaussien bimodal soit séparable, mais laissent de nombreux états intriqués non-Gaussiens non détectés. Dans cette thèse, nous introduisons deux nouveaux critères de séparabilité qui permettent une meilleure détection de l’intrication. La première nouvelle condition est basée sur la connaissance d’un paramètre supplémentaire, à savoir le degré de Gaussianité de l’état, et exploite une connexion avec les relations d’incertitude de Mandilara et Cerf bornées par ce degré de Gaussianité. En particulier, nous donnons l’exemple de familles d’états intriqués non Gaussiens dont l’intrication est détectée par notre critère, mais pas par celui de Duan-Simon. Le second critère de séparabil- ité entropique que nous proposons est basé sur notre nouvelle relation d’incertitude entropique qui tient compte des corrélations x-p. Son principal avantage par rapport au critère de Walborn et al. est de ne nécessiter aucune procédure d’optimisation.
Doctorat en Sciences de l'ingénieur et technologie
info:eu-repo/semantics/nonPublished
4

Sun, Xun. "Ab initio Investigation of Al-doped CrMnFeCoNi High-Entropy Alloys." Licentiate thesis, KTH, Materialvetenskap, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-251330.

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High-entropy alloys (HEAs) represent a special group of solid solutions containing five or more principal elements. The new design strategy has attracted extensive attention from the materials science community. The design and development of HEAs with desired properties have become an important subject in materials science and technology. For understanding the basic properties of HEAs, here we investigate the magnetic properties, Curie temperatures, electronic structures, phase stabilities, and elastic properties of paramagnetic (PM) body-centered cubic (bcc) and face-centered cubic (fcc) AlxCrMnFeCoNi (0 ≤ x ≤ 5, in molar fraction) HEAs using the first-principles exact muffin-tin orbitals (EMTO) method in combination with the coherent potential approximation (CPA) for dealing with the chemical and magnetic disorder. Whenever possible, we compare the theoretical predictions to the available experimental data in order to verify our methodology. In addition, we make use of the previous theoretical investigations carried out on AlxCrFeCoNi HEAs to reveal and understand the role of Mn in the present HEAs. The theoretical lattice constants are found to increase with increasing x, which is in good agreement with the available experimental data. The magnetic transition temperature for the bcc structure strongly decreases with x, whereas that for the fcc structure shows a weak composition dependence. Within their own stability fields, both structures are predicted to be PM at ambient conditions. Upon Al addition, the crystal structure changes from fcc to bcc with a broad two-phase field region, in line with the observations. Bain path calculations suggest that within the duplex region both phases are dynamically stable. Comparison with available experimental data demonstrates that the employed approach describes accurately the elastic moduli of the present HEAs. The elastic parameters exhibit complex composition dependences, although the predicted lattice constants increase monotonously with Al addition. The elastic anisotropy is unusually high for both phases. The brittle/ductile transitions formulated in terms of Cauchy pressure and Pugh ratio become consistent only when the strong elastic anisotropy is accounted for. The negative Cauchy pressure of CrMnFeCoNi is found to be due to the relatively low bulk modulus and C12 elastic constant, which in turn are consistent with the relatively low cohesive energy. Our findings in combination with the experimental data suggest anomalous metallic character for the present HEAs system. The work and results presented in this thesis give a good background to go further and study the plasticity of AlxCrMnFeCoNi type of HEAs as a function of chemistry and temperature. This is a very challenging task and only a very careful pre-study concerning the phase stability, magnetism and elasticity can provide enough information to turn my plan regarding ab initio description of the thermo-plastic deformation mechanisms in AlxCrMnFeCoNi HEAs into a successful research.
5

Koch, David. "Investigation and improvement of criticality calculations in MCNP5 involving Shannon entropy convergence." Thesis, Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/53484.

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Criticality calculations are often performed in MCNP5 using the Shannon entropy as an indicator of source convergence for the given neutron transport problem. The Shannon entropy is a concept that comes from information theory. The Shannon entropy is calculated for each batch in MCNP5, and it has been shown that the Shannon entropy tends to converge to a single value as the source distribution converges. MCNP5 has its own criteria for when the Shannon entropy has converged and recommends a number for how many batches should be skipped; however, this value for how many batches should be skipped is often not very accurate and has room for improvement. This work will investigate an approach for using the Shannon entropy source distribution convergence information obtained in a shorter simulation to predict the required number of generations skipped in the reference case with desired statistical precision. In several test cases, it has been found that running a lesser number of particles per batch produces a similar Shannon entropy graph when compared to running more particles per batch. Then, by appropriate adjustment through a synthetic model, one is able to determine when the Shannon entropy will converge by running fewer particles, finding the point where it converges and then using this value to determine how many batches one should skip for a given problem. This reduces computational time and any "guessing" involved when deciding how many batches to skip. Thus, the purpose of this research is to develop a model showing how one can use this concept and produce a streamlined approach for applying this concept to a criticality problem.
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Rigau Vilalta, Jaume. "Information theoretic refinement criteria for image synthesis." Phd thesis, Universitat Politècnica de Catalunya, 2006. http://hdl.handle.net/10803/6664.

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Aquest treball està enmarcat en el context de gràfics per computador partint de la intersecció de tres camps: rendering, teoria de la informació, i complexitat.

Inicialment, el concepte de complexitat d'una escena es analitzat considerant tres perspectives des d'un punt de vista de la visibilitat geomètrica: complexitat en un punt interior, complexitat d'una animació, i complexitat d'una regió. L'enfoc principal d'aquesta tesi és l'exploració i desenvolupament de nous criteris de refinament pel problema de la il·luminació global. Mesures de la teoria de la informació basades en la entropia de Shannon i en la entropia generalitzada de Harvda-Charvát-Tsallis, conjuntament amb les f-divergències, són analitzades com a nuclis del refinement. Mostrem com ens aporten una rica varietat d'eficients i altament discriminatòries mesures que són aplicables al rendering en els seus enfocs de pixel-driven (ray-tracing) i object-space (radiositat jeràrquica).

Primerament, basat en la entropia de Shannon, es defineixen un conjunt de mesures de qualitat i contrast del pixel. S'apliquen al supersampling en ray-tracing com a criteris de refinement, obtenint un algorisme nou de sampleig adaptatiu basat en entropia, amb un alt rati de qualitat versus cost. En segon lloc, basat en la entropia generalitzada de Harvda-Charvát-Tsallis, i en la informació mutua generalitzada, es defineixen tres nous criteris de refinament per la radiositat jeràrquica. En correspondencia amb tres enfocs clàssics, es presenten els oracles basats en la informació transportada, el suavitzat de la informació, i la informació mutua, amb resultats molt significatius per aquest darrer. Finalment, tres membres de la familia de les f-divergències de Csiszár's (divergències de Kullback-Leibler, chi-square, and Hellinger) son analitzats com a criteris de refinament mostrant bons resultats tant pel ray-tracing com per la radiositat jeràrquica.
This work is framed within the context of computer graphics starting out from the intersection of three fields: rendering, information theory, and complexity.

Initially, the concept of scene complexity is analysed considering three perspectives from a geometric visibility point of view: complexity at an interior point, complexity of an animation, and complexity of a region. The main focus of this dissertation is the exploration and development of new refinement criteria for the global illumination problem. Information-theoretic measures based on Shannon entropy and Harvda-Charvát-Tsallis generalised entropy, together with f-divergences, are analysed as kernels of refinement. We show how they give us a rich variety of efficient and highly discriminative measures which are applicable to rendering in its pixel-driven (ray-tracing) and object-space (hierarchical radiosity) approaches.

Firstly, based on Shannon entropy, a set of pixel quality and pixel contrast measures are defined. They are applied to supersampling in ray-tracing as refinement criteria, obtaining a new entropy-based adaptive sampling algorithm with a high rate quality versus cost. Secondly, based on Harvda-Charvát-Tsallis generalised entropy, and generalised mutual information, three new refinement criteria are defined for hierarchical radiosity. In correspondence with three classic approaches, oracles based on transported information, information smoothness, and mutual information are presented, with very significant results for the latter. And finally, three members of the family of Csiszár's f-divergences (Kullback-Leibler, chi-square, and Hellinger divergences) are analysed as refinement criteria showing good results for both ray-tracing and hierarchical radiosity.
7

Zhang, Di. "INFORMATION THEORETIC CRITERIA FOR IMAGE QUALITY ASSESSMENT BASED ON NATURAL SCENE STATISTICS." Thesis, University of Waterloo, 2006. http://hdl.handle.net/10012/2842.

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Measurement of visual quality is crucial for various image and video processing applications.

The goal of objective image quality assessment is to introduce a computational quality metric that can predict image or video quality. Many methods have been proposed in the past decades. Traditionally, measurements convert the spatial data into some other feature domains, such as the Fourier domain, and detect the similarity, such as mean square distance or Minkowsky distance, between the test data and the reference or perfect data, however only limited success has been achieved. None of the complicated metrics show any great advantage over other existing metrics.

The common idea shared among many proposed objective quality metrics is that human visual error sensitivities vary in different spatial and temporal frequency and directional channels. In this thesis, image quality assessment is approached by proposing a novel framework to compute the lost information in each channel not the similarities as used in previous methods. Based on natural scene statistics and several image models, an information theoretic framework is designed to compute the perceptual information contained in images and evaluate image quality in the form of entropy.

The thesis is organized as follows. Chapter I give a general introduction about previous work in this research area and a brief description of the human visual system. In Chapter II statistical models for natural scenes are reviewed. Chapter III proposes the core ideas about the computation of the perceptual information contained in the images. In Chapter IV, information theoretic criteria for image quality assessment are defined. Chapter V presents the simulation results in detail. In the last chapter, future direction and improvements of this research are discussed.
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David, Afshin. "Modeling and estimation using maximum entropy and minimum mean squared criteria based on partial and noisy observations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0016/NQ57033.pdf.

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Suzzi, Nicola. "Valutazione delle prestazioni termo-idrauliche di microcanali a spigoli smussati." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/6495/.

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Abstract:
In questo eleborato viene presentato uno studio focalizzato sull’ottimizzazione della geometria dei microcanali di un dissipatore di calore, con lo scopo di fornire una serie di relazioni operative e quindi direttamente utilizzabili per la progettazione di tali dispositivi. Alla definizione delle tradizionali funzioni obiettivo, legate ai Performance Evaluation Criteria (PEC), è stata aggiunta un’analisi dal punto di vista del secondo principio della termodinamica, per valutare l’entropia generata da un flusso fluido in un canale. Normalizzando l’entropia generata si è passati all’utilizzo di un numero di generazione entropica adimensionale e quindi più adatto alla valutazione delle prestazioni. Dopo una prima fase di analisi dal punto di vista fisico, il modello è stato applicato a casi concreti, in cui funzione obiettivo e numero di generazione entropica sono stati espressi in dipendenza dell’incognita geometrica da valutare. Inoltre, è stato approfondito anche il caso in cui non siano trascurabili gli effetti di dissipazione viscosa, che possono effettivamente incidere in modo determinante sullo scambio termico, soprattutto alle microscale.
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Zander, Claudia. "Classical & quantum dynamics of information and entanglement properties of fermion systems." Thesis, University of Pretoria, 2012. http://hdl.handle.net/2263/28607.

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Due to their great importance, both from the fundamental and from the practical points of view, it is imperative that the various facets of the concepts of information and entanglement are explored systematically in connection with diverse physical systems and processes. These concepts are at the core of the emerging field of the Physics of Information. In this Thesis I investigate some aspects of the dynamics of information in both classical and quantum mechanical systems and then move on to explore entanglement in fermion systems by searching for novel ways to classify and quantify entanglement in fermionic systems. In Chapter 1 a brief review of the different information and entropic measures as well as of the main evolution equations of classical dynamical and quantum mechanical systems is given. The conservation of information as a fundamental principle both at the classical and quantum levels, and the implications of Landauer's theorem are discussed in brief. An alternative and more intuitive proof of the no-broadcasting theorem is also provided. Chapter 2 is a background chapter on quantum entanglement, where the differences between the concept of entanglement in systems consisting of distinguishable subsystems and the corresponding concept in systems of identical fermions are emphasized. Different measures of entanglement and relevant techniques such as majorization, are introduced. To illustrate some of the concepts reviewed here I discuss the entanglement properties of an exactly soluble many-body model which was studied in paper (E) of the publication list corresponding to the present Thesis. An alternative approach to the characterization of quantum correlations, based on perturbations under local measurements, is also briefly reviewed. The use of uncertainty relations as entanglement indicators in composite systems having distinguishable subsystems is then examined in some detail. Chapter 3 is based on papers (A) and (B) of the list of publications. Extended Landauer-like principles are developed, based amongst others on the conservation of information of divergenceless dynamical systems. Conservation of information within the framework of general probabilistic theories, which include the classical and quantum mechanical probabilities as particular instances, is explored. Furthermore, Zurek's information transfer theorem and the no-deleting theorem are generalized. Chapter 4 is based on articles (C) and (D) mentioned in the publication list, and investigates several separability criteria for fermions. Criteria for the detection of entanglement are developed based either on the violation of appropriate uncertainty relations or on inequalities involving entropic measures. Chapter 5 introduces an approach for the characterization of quantum correlations (going beyond entanglement) in fermion systems based upon the state disturbances generated by the measurement of local observables. Chapter 6 summarizes the conclusions drawn in the previous chapters. The work leading up to this Thesis has resulted in five publications in peer reviewed science research journals.
Thesis (PhD)--University of Pretoria, 2012.
Physics
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Books on the topic "Entropic criterion":

1

MacKinnon, Robert F. Maximum entropy criteria applied to signal recovery. [Ottawa]: Research and Development Branch, Dept. of National Defence, 1988.

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2

Sherwood, Dennis, and Paul Dalby. The Second Law of Thermodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782957.003.0009.

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The Second Law. The definition of entropy, and its mathematical properties. The Clausius inequality, and the criterion of spontaneity of change in an isolated system. Worked examples of heat flow down a temperature gradient, and the adiabatic expansion of a gas into a vacuum. Combining the First and Second Laws, with worked examples, such as phase changes. Introduction to the Third Law of Thermodynamics. Introduction to T,S diagrams.
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Rau, Jochen. Thermodynamic Limit. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199595068.003.0005.

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When one describes systems which are homogeneous, stable, and macroscopic in size, it no longer matters whether macroscopic data are given as sharp constraints or as expectation values. This is the thermodynamic limit. The behaviour of matter in this limit is governed by four laws, pertaining respectively to the properties of equilibrium (zeroth law), energy (first law), entropy (second law), and the ground state (third law). This chapter provides the mathematical criteria for homogeneity and stability and explores their respective consequences. In particular, it discusses the distinction between extensive and intensive variables, as well as the Gibbs–Duhem relation. It introduces the three thermodynamic ensembles—microcanonical, canonical, and grand canonical—and shows their equivalence in the thermodynamic limit. Finally, this chapter shows how, in the thermodynamic limit, the four laws of thermodynamics arise naturally within the statistical framework.
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Clarke, Andrew. Temperature and its measurement. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199551668.003.0003.

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Temperature is that property of a body which determines whether it gains or loses energy in a particular environment. In classical thermodynamics temperature is defined by the relationship between energy and entropy. Temperature can be defined only for a body that is in thermodynamic and thermal equilibrium; whilst organisms do not conform to these criteria, the errors in assuming that they do are generally small. The Celsius and Fahrenheit temperature scales are arbitrary because they require two fixed points, one to define the zero and the other to set the scale. The thermodynamic (absolute) scale of temperature has a natural zero (absolute zero) and is defined by the triple point of water. Its unit of temperature is the Kelvin. The Celsius scale is convenient for much ecological and physiological work, but where temperature is included in statistical or deterministic models, only thermodynamic temperature should be used. Past temperatures can only be reconstructed with the use of proxies, the most important of which are based on isotope fractionation.
5

Berber, Stevan. Discrete Communication Systems. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198860792.001.0001.

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The book present essential theory and practice of the discrete communication systems design, based on the theory of discrete time stochastic processes, and their relation to the existing theory of digital communication systems. Using the notion of stochastic linear time invariant systems, in addition to the orhogonality principles, a general structure of the discrete communication system is constructed in terms of mathematical operators. Based on this structure, the MPSK, MFSK, QAM, OFDM and CDMA systems, using discrete modulation methods, are deduced as special cases. The signals are processed in the time and frequency domain, which requires precise derivatives of their amplitude spectral density functions, correlation functions and related energy and pover spectral densities. The book is self-sufficient, because it uses the unified notation both in the main ten chapters explaining communications systems theory and nine supplementary chapters dealing with the continuous and discrete time signal processing for both the deterministic and stochastic signals. In this context, the indexing of vital signals and finctions makes obvious distinction beteween them. Having in mind the controversial nature of the continuous time white Gaussian noise process, a separate chapter is dedicated to the noise discretisation by introducing notions of noise entropy and trauncated Gaussian density function to avoid limitations in applying the Nyquist criterion. The text of the book is acompained by the solutions of problems for all chapters and a set of deign projects with the defined projects’ topics and tasks and offered solutions.

Book chapters on the topic "Entropic criterion":

1

Zhang, Jianhua, Jingyue Wang, Rui Wang, and Guolian Hou. "Electricity Price Forecasting Using Neural Networks Trained with Entropic Criterion." In Lecture Notes in Electrical Engineering, 47–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12990-2_6.

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Bercher, Jean-François. "Entropies and Entropic Criteria." In Regularization and Bayesian Methods for Inverse Problems in Signal and Image Processing, 267–91. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2015. http://dx.doi.org/10.1002/9781118827253.ch11.

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Barsky, Eugene. "Entropy of Composition: Optimization Criterion." In Critical Regimes of Two-Phase Flows with a Polydisperse Solid Phase, 169–95. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-8838-3_9.

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4

Balian, Roger. "Justification of the Maximum Entropy Criterion in Quantum Mechanics." In Maximum Entropy and Bayesian Methods, 123–29. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-015-7860-8_9.

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Abe, Naoto, and Mineichi Kudo. "Entropy Criterion for Classifier-Independent Feature Selection." In Lecture Notes in Computer Science, 689–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11554028_96.

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Xanthopoulos, Stylianos Z. "Relative Entropy Criterion and CAPM-Like Pricing." In Trends in Mathematical Economics, 369–79. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32543-9_19.

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Lefloch, Philippe G. "An Entropy Diminishing Criterion for Hyperbolic Conservation Laws." In Numerical Methods for Wave Propagation, 275–95. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9137-9_12.

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Ahlawat, Vishal, Parinam Anuradha, Sunil Nain, Sanjay Kajal, Praveen Tewatia, and Mukesh Kumar. "Assessment of Optimum Automotive Brake Friction Formula by Entropy-VIKOR Technique." In Multi-Criteria Decision Modelling, 23–42. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003125150-2-2.

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Haktanır, Elif, and Cengiz Kahraman. "Interval-Valued Pythagorean Fuzzy Entropy Weight Method and Its Application to Supplier Selection." In Multiple Criteria Decision Making, 83–100. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-98872-2_6.

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10

Kyprianou, Andreas, Cristinel Mares, Charalambos D. Charalambous, and John E. Mottershead. "Minimum Relative Entropy Criterion for Damage Detection and Location." In Damage Assessment of Structures VII, 421–26. Stafa: Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-444-8.421.

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Conference papers on the topic "Entropic criterion":

1

Jacob, Eric J., Joshua W. Batterson, and Paul W. Gloyer. "The Generalized Rayleigh Criterion and other Entropic Contributions to Combustion Instability." In 49th AIAA/ASME/SAE/ASEE Joint Propulsion Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2013. http://dx.doi.org/10.2514/6.2013-3993.

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Abdallah, Imad, Silvio Montresor, and Marc Baudry. "Speech signal detection in noisy environement using a local entropic criterion." In 5th European Conference on Speech Communication and Technology (Eurospeech 1997). ISCA: ISCA, 1997. http://dx.doi.org/10.21437/eurospeech.1997-405.

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Guo, Jiangfeng, Mingtian Xu, and Lin Cheng. "A New Criterion for Assessing Heat Exchanger Performance." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22315.

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The principle of minimum entropy production has played an important role in the development of non-equilibrium thermodynamics. Inspired by this principle, Bejan derived the expression of the local entropy production rate for heat convection and established the entropy production minimization approach for the heat exchanger optimization design. Although one can obtain the entropy production distribution in the heat exchanger numerically, it can not directly been employed to examine the heat exchanger performance. Tondeur and Kvaalen found that the entropy production uniformity is closely related to the heat exchanger performance. In the present work, based on Tondear and Kvaalen’s work, an entropy production uniformity factor is defined, which quantifies the uniformity of the local entropy generation distribution in heat exchanger. Numerical results of the heat transfer in a rectangular channel show that the larger entropy production uniformity factor implies less irreversible loses. Therefore, this factor can serve as a thermodynamic figure of merit for assessing the heat exchanger performance.
4

Li, Tao, Sheng Ma, and Mitsunori Ogihara. "Entropy-based criterion in categorical clustering." In Twenty-first international conference. New York, New York, USA: ACM Press, 2004. http://dx.doi.org/10.1145/1015330.1015404.

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Takada, Hellinton H., and Julio M. Stern. "Information criterion for selection of ubiquitous factors." In BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING (MAXENT 2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4906001.

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Nianyun Shi, Liang Yan, Jiuyun Xu, and Youxiang Duan. "A novel random fuzziness clustering with entropy criterion." In 2009 IEEE International Conference on Intelligent Computing and Intelligent Systems (ICIS 2009). IEEE, 2009. http://dx.doi.org/10.1109/icicisys.2009.5358180.

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Badong Chen, Jinchun Hu, Hongbo Li, and Zengqi Sun. "Adaptive Inverse Control under (h,ø)-Entropy Criterion." In 2006 IEEE Conference on Cybernetics and Intelligent Systems. IEEE, 2006. http://dx.doi.org/10.1109/iccis.2006.252273.

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Zhang, Qun, Yi-chang Chen, Yong Wu, and Dan Wang. "A Seaborne Isarautofocusing Method Under Minimum Entropy Criterion." In IGARSS 2018 - 2018 IEEE International Geoscience and Remote Sensing Symposium. IEEE, 2018. http://dx.doi.org/10.1109/igarss.2018.8517506.

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Chernyshov, K. R. "System identification with a minmax entropy-based criterion." In 2016 13th International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE). IEEE, 2016. http://dx.doi.org/10.1109/apeie.2016.7807005.

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Zheng, Yu, Ming Diao, and Muran Guo. "Weight Optimization Via Maximum Entropy Criterion for SPICE." In 2021 CIE International Conference on Radar (Radar). IEEE, 2021. http://dx.doi.org/10.1109/radar53847.2021.10027909.

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