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Polyconvex functionals and maximum principle
Let us consider continuous minimizers $ u : \bar \Omega \subset \mathbb{R}^n \to \mathbb{R}^n $ of $ \mathcal{F}(v) = \int_{\Omega} [|Dv|^p \, + \, |{\rm det}\,Dv|^r] dx, $ with $ p > 1 $ and $ r > 0 $; then it is known that every ...
Menita Carozza +3 more
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The maximum entropy principle for compositional data
Background Compositional systems, represented as parts of some whole, are ubiquitous. They encompass the abundances of proteins in a cell, the distribution of organisms in nature, and the stoichiometry of the most basic chemical reactions.
Corey Weistuch +3 more
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Pontryagin Maximum Principle for Distributed-Order Fractional Systems
We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type.
Faïçal Ndaïrou, Delfim F. M. Torres
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Abolishing the maximum tension principle
We find the series of example theories for which the relativistic limit of maximum tension Fmax=c4/4G represented by the entropic force can be abolished.
Mariusz P. Da̧browski, H. Gohar
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Utility Function from Maximum Entropy Principle
Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function.
Amir H. Darooneh
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Risk-Sensitive Maximum Principle for Controlled System with Delay
Risk-sensitive maximum principle and verification theorem for controlled system with delay is obtained by virtue of classical convex variational technique.
Peng Wang
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A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations
We consider a class of nonlinear integro-differential equations that model degenerate nonlocal diffusion. We investigate whether the strong maximum principle is valid for this nonlocal equation. For degenerate parabolic PDEs, the strong maximum principle
Tucker Hartland, Ravi Shankar
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Optimal Control of Quantum Systems by Pontryagin Maximum Principle
Optimal control provides powerful tools and concepts that can be applied to control quantum systems. It has been used extensively to improve the performance of quantum processes in a variety of active areas in quantum technologies. This paper reviews the
Nahid Binandeh Dehaghani +1 more
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Objective Bayesianism and the Maximum Entropy Principle
Objective Bayesian epistemology invokes three norms: the strengths of our beliefs should be probabilities; they should be calibrated to our evidence of physical probabilities; and they should otherwise equivocate sufficiently between the basic ...
Jon Williamson, Jürgen Landes
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Maximum Entropy Principle in Image Restoration
Many imaging systems are faced with the problem of estimating a true image from a degraded dataset. In such systems, the image degradation is translated into a convolution with a Point Spread Function (PSF) and addition of noise.
PETROVICI, M.-A., DAMIAN, C., COLTUC, D.
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