Results 51 to 60 of about 776,491 (337)
How Quantum Evolution with Memory is Generated in a Time-Local Way
Two widely used but distinct approaches to the dynamics of open quantum systems are the Nakajima-Zwanzig and time-convolutionless quantum master equation, respectively.
K. Nestmann, V. Bruch, M. R. Wegewijs
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Mixing of Metropolis-adjusted Markov chains via couplings: The high acceptance regime [PDF]
We present a coupling framework to upper bound the total variation mixing time of various Metropolis-adjusted, gradient-based Markov kernels in the `high acceptance regime'.
Nawaf Bou-Rabee, Stefan Oberdorster
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Positive Operator Valued Measures and Feller Markov kernels [PDF]
26 pages.
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Reversible Markov kernels and involutions on product spaces [PDF]
In this paper the relations between independence preserving (IP) involutions and reversible Markov kernels are investigated. We introduce an involutive augmentation H = (f, g_f) of a measurable function f and relate the IP property of H to f-generated reversible Markov kernels.
Mauro Piccioni, Jacek Wesołowski
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Maximum asymmetry of copulas revisited
Motivated by the nice characterization of copulas A for which d∞(A, At) is maximal as established independently by Nelsen [11] and Klement & Mesiar [7], we study maximum asymmetry with respect to the conditioning-based metric D1 going back to Trutschnig [
Kamnitui Noppadon +2 more
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Duality and Intertwining for discrete Markov kernels: a relation and examples [PDF]
We supply some relations that establish intertwining from duality and give a probabilistic interpretation. This is carried out in the context of discrete Markov chains, fixing up the background of previous relations established for monotone chains and their Siegmund duals. We revisit the duality for birth-and-death chains and the nonneutral Moran model,
Thierry Huillet, Servet Martı́nez
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Optimal measures and Markov transition kernels [PDF]
We study optimal solutions to an abstract optimization problem for measures, which is a generalization of classical variational problems in information theory and statistical physics. In the classical problems, information and relative entropy are defined using the Kullback-Leibler divergence, and for this reason optimal measures belong to a one ...
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Rademacher complexity for Markov chains: Applications to kernel smoothing and Metropolis–Hastings [PDF]
Following the seminal approach by Talagrand, the concept of Rademacher complexity for independent sequences of random variables is extended to Markov chains.
P. Bertail, Franccois Portier
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Monotone bivariate Markov kernels with specified marginals [PDF]
Summary: Given two Markov kernels \( k\) and \( k'\) on an ordered Polish space, such that \( k\) is stochastically dominated by \( k'\), we establish the existence of: (i) a monotone bivariate Markov kernel whose marginals are \( k\) and \( k'\) and (ii) an upward coupler from \( k\) to \( k'\). This extends the results of \textit{V.
Machida, Motoya, Shibakov, Alexander
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Unsupervised SAR image segmentation based on kernel TMFs with belief propagation
The triplet Markov field (TMF) model has achieved promising results in synthetic aperture radar (SAR) image segmentation. Focusing on the simple likelihood modelling of an SAR image and the effective optimisation of the TMF model, an unsupervised SAR ...
Lu Gan, Xiaoming Liu, Ziwei Li
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