Academic literature on the topic 'Non-convex entropy'

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Journal articles on the topic "Non-convex entropy"

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Dafermos, Constantine M. "Non-convex entropies for conservation laws with involutions." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 2005 (2013): 20120344. http://dx.doi.org/10.1098/rsta.2012.0344.

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The paper discusses systems of conservation laws endowed with involutions and contingent entropies. Under the assumption that the contingent entropy function is convex merely in the direction of a cone in state space, associated with the involution, it is shown that the Cauchy problem is locally well posed in the class of classical solutions, and that classical solutions are unique and stable even within the broader class of weak solutions that satisfy an entropy inequality. This is on a par with the classical theory of solutions to hyperbolic systems of conservation laws endowed with a convex
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Milman, V. D., and A. Pajor. "Entropy and Asymptotic Geometry of Non-Symmetric Convex Bodies." Advances in Mathematics 152, no. 2 (2000): 314–35. http://dx.doi.org/10.1006/aima.1999.1903.

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Hellmund, Meis. "Entanglement and output entropy of the diagonal map." Quantum Information and Computation 13, no. 5&6 (2013): 379–92. http://dx.doi.org/10.26421/qic13.5-6-2.

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We review some properties of the convex roof extension, a construction used, e.g., in the definition of the entanglement of formation. Especially we consider the use of symmetries of channels and states for the construction of the convex roof. As an application we study the entanglement entropy of the diagonal map for permutation symmetric real $N=3$ states $\omega(z)$ and solve the case $z<0$ where $z$ is the non-diagonal entry in the density matrix. We also report a surprising result about the behavior of the output entropy of the diagonal map for arbitrary dimensions $N$; showing a bifur
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Mastyło, Mieczysław. "Interpolation estimates for entropy numbers with applications to non-convex bodies." Journal of Approximation Theory 162, no. 1 (2010): 10–23. http://dx.doi.org/10.1016/j.jat.2009.02.002.

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LEFLOCH, PHILIPPE G. "HYPERBOLIC BALANCE LAWS WITH ENTROPY ON A CURVED SPACETIME: THE WEAK–STRONG UNIQUENESS THEORY." Journal of Hyperbolic Differential Equations 10, no. 04 (2013): 773–98. http://dx.doi.org/10.1142/s0219891613500288.

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We are interested in nonlinear partial differential equations of hyperbolic type, written as first-order balance laws posed on a curved spacetime, whose unknown is typically a section of the bundle of future-oriented, timelike vectors. We are especially interested in dealing with systems and solutions with low regularity and, to this end, we introduce here the notion of "strictly convex entropy field". We then prove that a system of balance laws endowed with such an entropy admits a symmetrization which, however, may be "degenerate" if the entropy is not uniformly convex or if the constitutive
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Lee, Sang-H., and Sang-Jin Kim. "Analysis of Fuzzy Entropy and Similarity Measure for Non Convex Membership Functions." International Journal of Fuzzy Logic and Intelligent Systems 9, no. 1 (2009): 4–9. http://dx.doi.org/10.5391/ijfis.2009.9.1.004.

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Dang, Zhang, Yong Lv, Yourong Li, and Cancan Yi. "Optimized Dynamic Mode Decomposition via Non-Convex Regularization and Multiscale Permutation Entropy." Entropy 20, no. 3 (2018): 152. http://dx.doi.org/10.3390/e20030152.

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Bose, Christopher, and Rua Murray. "Maximum Entropy Estimates for Risk-Neutral Probability Measures with Non-Strictly-Convex Data." Journal of Optimization Theory and Applications 161, no. 1 (2013): 285–307. http://dx.doi.org/10.1007/s10957-013-0349-x.

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Lee, Sang-Hyuk, Sang-Min Lee, Gyo-Yong Sohn, and Jaeh-Yung Kim. "Fuzzy entropy design for non convex fuzzy set and application to mutual information." Journal of Central South University of Technology 18, no. 1 (2011): 184–89. http://dx.doi.org/10.1007/s11771-011-0678-6.

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Berta, Mario, Fernando G. S. L. Brandão, and Christoph Hirche. "On Composite Quantum Hypothesis Testing." Communications in Mathematical Physics 385, no. 1 (2021): 55–77. http://dx.doi.org/10.1007/s00220-021-04133-8.

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AbstractWe extend quantum Stein’s lemma in asymmetric quantum hypothesis testing to composite null and alternative hypotheses. As our main result, we show that the asymptotic error exponent for testing convex combinations of quantum states $$\rho ^{\otimes n}$$ ρ ⊗ n against convex combinations of quantum states $$\sigma ^{\otimes n}$$ σ ⊗ n can be written as a regularized quantum relative entropy formula. We prove that in general such a regularization is needed but also discuss various settings where our formula as well as extensions thereof become single-letter. This includes an operational
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Dissertations / Theses on the topic "Non-convex entropy"

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Jung, Jonathan. "Schémas numériques adaptés aux accélérateurs multicoeurs pour les écoulements bifluides." Phd thesis, Université de Strasbourg, 2013. http://tel.archives-ouvertes.fr/tel-00876159.

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Cette thèse traite de la modélisation et de l'approximation numérique des écoulements liquide-gaz compressibles. La difficulté essentielle réside dans la modélisation et l'approximation de l'interface liquide-gaz. Schématiquement, deux types de méthodes permettent l'étude de la dynamique de l'interface : l'approche eulérienne, aussi dite de capture de front ("front capturing method") et l'approche lagrangienne, de suivi de front ("front tracking method"). Nos travaux sont plutôt basés sur la méthode de capture de front. Le modèle bifluide est constitué d'un système de lois de conservation du p
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Liu, Ju. "Thermodynamically consistent modeling and simulation of multiphase flows." Thesis, 2014. http://hdl.handle.net/2152/28353.

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Multiphase flow is a familiar phenomenon from daily life and occupies an important role in physics, engineering, and medicine. The understanding of multiphase flows relies largely on the theory of interfaces, which is not well understood in many cases. To date, the Navier-Stokes-Korteweg equations and the Cahn-Hilliard equation have represented two major branches of phase-field modeling. The Navier-Stokes-Korteweg equations describe a single component fluid material with multiple states of matter, e.g., water and water vapor; the Cahn-Hilliard type models describe multi-component materials wit
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Book chapters on the topic "Non-convex entropy"

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Lee, Sanghyuk, Sangjin Kim, and Nam-Young Jang. "Design of Fuzzy Entropy for Non Convex Membership Function." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-85930-7_8.

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Conference papers on the topic "Non-convex entropy"

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DeGuchy, Omar, Lasith Adhikari, Marcia F. Roummel, and Reheman Baikejiang. "Non-convex Shannon entropy for photon-limited imaging." In Wavelets and Sparsity XVII, edited by Yue M. Lu, Manos Papadakis, and Dimitri Van De Ville. SPIE, 2017. http://dx.doi.org/10.1117/12.2274466.

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Niu, Qun, Yang Zhang, and Han Wang. "An Improved Stochastic Linear Cross-entropy Method for Non-convex Economic Dispatch." In the 2019 11th International Conference. ACM Press, 2019. http://dx.doi.org/10.1145/3318299.3318387.

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Wang, Guibao, Liansheng Sun, Haiqing Li, and Hong-Zhong Huang. "Psychological Information Entropy and Its Applications to Reliability Engineering." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87006.

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In general, information contains both of the physical attributes and the psychological attributes. For these two kind attributes of information, this paper discussed the incompleteness of the axioms system of the current information entropy theories. It is necessary to add the condition of boundedness to the axioms system when it is used to measure the uncertainty of psychological information. A new family of information entropy using a convex-concave function is introduced for satisfying the psychological attributes of information. And based on the psychological information entropy function,
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Góes, Daniel A., and Nelson D. A. Mascarenhas. "Low-Dose Computed Tomography Filtering Using Geodesic Distances." In Conference on Graphics, Patterns and Images. Sociedade Brasileira de Computação, 2020. http://dx.doi.org/10.5753/sibgrapi.est.2020.12983.

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Due to the concerns related to patient exposure to X-ray, the dosage used in computed tomography must be reduced (Low-dose Computed Tomography - LDCT). One of the effects of LDCT is the degradation in the quality of the final reconstructed image. In this work, we propose a method of filtering LDCT sinograms that are subject to signal-dependent Poisson noise. To filter this type of noise, we use a Bayesian approach, changing the Non-local Means (NLM) algorithm to use geodesic stochastic distances for Gamma distribution, the conjugate prior to Poisson, as a similarity metric between each project
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Gosselin, Claude, and Louis Cloutier. "The Generating Space for Parabolic Motion Error Spiral Bevel Gears Cut by the Gleason Method." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0029.

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Abstract Because of their inherent pseudo-conjugate natures, spiral bevel gears cut by the Gleason method basically transmit motion in a non uniform manner. This motion non uniformity, or motion error, repeated at each tooth engagement and at high speeds and loads, can cause vibrations in transmissions and contact-entry impact loads on gear teeth which affect the life of a gearset. It is customary to make small changes to machine settings in order to produce gear pairs with vastly improved kinematics. Therefore, machine setting changes must be carefully chosen such as to produce appropriate un
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