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Rare Event Analysis for Minimum Hellinger Distance Estimators via Large Deviation Theory [PDF]
Entropy, 2021 Hellinger distance has been widely used to derive objective functions that are alternatives to maximum likelihood methods. While the asymptotic distributions of these estimators have been well investigated, the probabilities of rare events induced by ...
Anand N. Vidyashankar +1 more
doaj +3 more sources
Logarithmic Potential Theory and Large Deviation [PDF]
Computational Methods and Function Theory, 2015 We derive a general large deviation principle for a canonical sequence of probability measures, having its origins in random matrix theory, on unbounded sets $K$ of ${\bf C}$ with weakly admissible external fields $Q$ and very general measures $ν$ on $K$.
N Levenberg, T Bloom, F Wielonsky
exaly +6 more sources
Stochastic quantum Zeno by large deviation theory [PDF]
New Journal of Physics, 2016 Quantum measurements are crucial for observing the properties of a quantum system, which, however, unavoidably perturb its state and dynamics in an irreversible way.
Stefano Gherardini +5 more
doaj +5 more sources
Large-deviation theory of increasing returns
Physical Review E, 2023 An influential theory of increasing returns has been proposed by the economist W. B. Arthur in the '80s to explain the lock-in phenomenon between two competing commercial products. In the most simplified situation there are two competing products that gain customers according to a majority mechanism: each new customer arrives and asks which product ...
Simone Franchini, Riccardo Balzan
openaire +3 more sources
Entropy regularized reinforcement learning using large deviation theory
Physical Review Research, 2023 Reinforcement learning (RL) is an important field of research in machine learning that is increasingly being applied to complex optimization problems in physics.
Argenis Arriojas +3 more
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Persistent anomalies of the North Atlantic jet stream and associated surface extremes over Europe
Environmental Research Letters, 2023 Unusual, persistent configurations of the North Atlantic jet stream affect the weather and climate over Europe. We focus on winter and on intraseasonal and seasonal time scales, and study persistent jet anomalies through the lens of large deviation ...
Vera Melinda Galfi, Gabriele Messori
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Large Deviations in Quantum Information Theory [PDF]
Problems of Information Transmission, 2003 The authors study the probabilities of certain events, which are useful in quantum information theory. In particular, they obtain the asymptotic estimates of these probabilities and make use of the exponential Chebyshev estimation procedure.
Ahlswede, Rudolf, Blinovski, Vladimir
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Efficiency large deviation function of quantum heat engines
New Journal of Physics, 2021 The efficiency of small thermal machines is typically a fluctuating quantity. We here study the efficiency large deviation properties of two exemplary quantum heat engines, the harmonic oscillator and the two-level Otto motors.
Tobias Denzler, Eric Lutz
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Approaching a large deviation theory for complex systems [PDF]
Nonlinear Dynamics, 2021 10 pages, 3 ...
Ugur Tirnakli +2 more
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Landau theory for finite-time dynamical phase transitions
New Journal of Physics, 2023 We study the time evolution of thermodynamic observables that characterise the dissipative nature of thermal relaxation after an instantaneous temperature quench.
Jan Meibohm, Massimiliano Esposito
doaj +1 more source