Osan, T. M.Bussandri, D. G.Lamberti, P. W.
12页查看更多>>摘要：Jensen-Shannon divergence is an important distinguishability measure between probability distributions that finds interesting applications within the context of Information Theory. In particular, this classical divergence belongs to a remarkable class of divergences known as Csiszar or f-divergences. In this paper we analyze the problem of obtaining a distance measure between two quantum states starting from the classical Jensen-Shannon divergence between two probability distributions. Considering the Jensen-Shannon divergence as a Csiszar divergence, we first focus on the problem of distinguishability between two pure quantum states. We find a quantum version of the classical Jensen-Shannon divergence that differs from the previously introduced Quantum Jensen-Shannon Divergence. The two quantum versions of Jensen-Shannon divergence have different interpretations within the framework of Quantum Information Theory. Whereas the former quantum version of Jensen-Shannon divergence can be interpreted as the Holevo bound, the alternative quantum version obtained in this work equals the accessible information. Furthermore, we obtain a monoparametric family of metrics between two quantum pure states. Finally, we extend this family of metrics to the case of mixed quantum states by means of the concept of purification. (c) 2022 Elsevier B.V. All rights reserved.
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NSTL
Elsevier
Glavatskiy, KirillKalloniatis, Alexander C.
20页查看更多>>摘要：We analyse a Kuramoto-Sakaguchi dynamics on a two-layer multi-network using the Fisher Information which has been demonstrated in a variety of complex dynamical and thermodynamic systems to provide a lens on critical behaviour and transitions to chaos. Here we use a case-study, introduced elsewhere and thus providing a baseline, of multi-networks consisting of tree and random graphs with couplings and frequencies set at values in the vicinity of thresholds for locking, metastable and chaotic states. We observe transitions in the two-dimensional space of the frustrations in the cross-network interactions of the multi-layer system. While the Shannon entropy consistently identifies a range of transitions, the Fisher Information detects additional signals corresponding to significant changes in the microscopic dynamics. We argue that Fisher Information provides a single measure to analyse rich coupled dynamics and to detect meaningful transitions in a finite-size system that otherwise require multiple measures to establish. We support this analysis using a novel semi-analytical steady-state ansatz incorporating splay phase parameters, where the stability analysis concurs with key changes in the Fisher Information. Crown Copyright (C)& nbsp;2022 Published by Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
Guo, YaoqiShi, FengyuanYu, ZhulingYao, Shanshan...
19页查看更多>>摘要：Based on the asymmetric multifractal detrending cross-correlation analysis (MF-ADCCA) method and the multifractal cross-correlation analysis (MFCCA) method, we propose a new method-the asymmetric multifractal cross-correlation analysis (MF-ACCA) method. The simulation results show that the algorithm can describe the asymmetric multifractal characteristics of two time series from qualitative and quantitative perspectives and we compare the MF-ACCA method and the MF-ADCCA method by using Binary ARFIMA model. In addition, the MF-ACCA method is used to analyze the asymmetric cross-correlation relationships among energy markets with different trends. We confirm that when a market experiences large fluctuations, the overall energy market in China ex-hibits multifractal characteristics, and the multifractal cross-correlations among energy markets are asymmetric. (C) 2022 Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
Apeltauer, JiriGroverova, NikolaKrbalek, MilanHobza, Tomas...
19页查看更多>>摘要：We partially correct and significantly deepen the Siegloch's method (1973), which is currently used to determine the capacity of unsignalized intersections. Taking into account current knowledge about microstructure of vehicular traffic flows we suggest Generalized Inverse Gaussian distribution as a theoretically and empirically substantiated alternative to the exponential distribution of priority-stream clearances, considered in Siegloch's original methodology. Furthermore, we formulate a statistical model for gap-acceptance theory and present a series of validated theoretical calculations leading to general formulas for proportion and statistical distribution of priority-stream clearances that exactly k minor-stream vehicles have utilized for their inclusion maneuver (accepted-clearance distribution of order k). Using up-to-date empirical data-sets we test hypotheses of priority-stream clearance-distribution and analyze sample acceptanceratios and empirical distribution of accepted clearances. By means of an original concept we finally estimate an implicit acceptance-rule, with the help of which a minor-street driver is deciding on acceptance/rejection of an offered priority-clearance. (c) 2022 Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
Kadar, ViktoriaDanku, ZsuzsaPal, GergoKun, Ferenc...
12页查看更多>>摘要：We study how the competition of the disordered local strength and of the evolving inhomogeneous stress field affects the evolution of the series of breaking avalanches accompanying the fracture of heterogeneous materials. To generate fracture processes, we use a fiber bundle model of localized load sharing where the degree of strength disorder is controlled by varying two parameters of the distribution of the breaking threshold of fibers. Analyzing the record statistics of avalanches of breaking fibers, we demonstrate that both for low and high disorders the series of crackling events remains stationary until global failure making the collapse of the system unpredictable. Based on computer simulations, we determine a region of the parameter plane of strength disorder where global failure is preceded by an accelerating breaking activity. We show that the record avalanche with the longest lifetime can be used to identify the onset of acceleration of the fracture process towards the catastrophic failure. Comparison of the results to their equal load sharing counterparts reveals that the accelerating regime is shorter than in case of a homogeneous stress field due to the higher degree of brittleness of the system caused by stress localization.
原文链接:- NSTL
- Elsevier
Cullen, Andrew C.Alpcan, TansuKalloniatis, Alexander C.
14页查看更多>>摘要：We apply computational Game Theory to a unification of physics-based models that represent decision-making across a number of agents within both cooperative and competitive processes. Here the competitors try to both positively influence their own returns, while negatively affecting those of their competitors. Modelling these interactions with the so-called Boyd-Kuramoto-Lanchester (BKL) complex dynamical system model yields results that can be applied to business, gaming and security contexts. This paper studies a class of decision problems on the BKL model, where a large set of coupled, switching dynamical systems are analysed using game-theoretic methods.& nbsp;Due to their size, the computational cost of solving these BKL games becomes the dominant factor in the solution process. To resolve this, we introduce a novel Nash Dominant solver, which is both numerically efficient and exact. The performance of this new solution technique is compared to traditional exact solvers, which traverse the entire game tree, as well as to approximate solvers such as Myopic and Monte Carlo Tree Search (MCTS). These techniques are assessed, and used to gain insights into both nonlinear dynamical systems and strategic decision making in adversarial environments. Crown Copyright (C) 2022 Published by Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
