Results 21 to 30 of about 2,380,668 (305)
Monte Carlo Simulation of Stochastic Differential Equation to Study Information Geometry
Entropy, 2022 Information Geometry is a useful tool to study and compare the solutions of a Stochastic Differential Equations (SDEs) for non-equilibrium systems. As an alternative method to solving the Fokker–Planck equation, we propose a new method to calculate time ...
Abhiram Anand Thiruthummal, Eun-jin Kim
doaj +1 more source
Information-Theoretic Probing with Minimum Description Length [PDF]
Proceedings of the 2020 Conference on Empirical Methods in Natural Language Processing (EMNLP), 2020 To measure how well pretrained representations encode some linguistic property, it is common to use accuracy of a probe, i.e. a classifier trained to predict the property from the representations. Despite widespread adoption of probes, differences in their accuracy fail to adequately reflect differences in representations.
Voita, E., Titov, I.
openaire +4 more sources
Entropy, 2021 Information processing is common in complex systems, and information geometric theory provides a useful tool to elucidate the characteristics of non-equilibrium processes, such as rare, extreme events, from the perspective of geometry.
Eun-jin Kim, Adrian-Josue Guel-Cortez
doaj +1 more source
Information length in quantum systems [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, E., Lewis, P.
openaire +3 more sources
Information Geometry, Fluctuations, Non-Equilibrium Thermodynamics, and Geodesics in Complex Systems
Entropy, 2021 Information theory provides an interdisciplinary method to understand important phenomena in many research fields ranging from astrophysical and laboratory fluids/plasmas to biological systems.
Eun-jin Kim
doaj +1 more source
Entropy, 2023 We investigate the effects of different stochastic noises on the dynamics of the edge-localised modes (ELMs) in magnetically confined fusion plasmas by using a time-dependent PDF method, path-dependent information geometry (information rate, information ...
Rainer Hollerbach, Eun-jin Kim
doaj +1 more source
Information length and localization in one dimension [PDF]
Journal of Physics: Condensed Matter, 1994 The scaling properties of the wave functions in finite samples of the one dimensional Anderson model are analyzed. The states have been characterized using a new form of the information or entropic length, and compared with analytical results obtained by assuming an exponential envelope function.
Varga, Imre, Pipek, János
openaire +2 more sources
The information theoretic interpretation of the length of a curve [PDF]
Journal of High Energy Physics, 2015 In the context of holographic duality with AdS3 asymptotics, the Ryu-Takayanagi formula states that the entanglement entropy of a subregion is given by the length of a certain bulk geodesic. The entanglement entropy can be operationalized as the entanglement cost necessary to transmit the state of the subregion from one party to another while ...
Czech, Bartlomiej +3 more
openaire +3 more sources
Information Geometric Theory in the Prediction of Abrupt Changes in System Dynamics
Entropy, 2021 Detection and measurement of abrupt changes in a process can provide us with important tools for decision making in systems management. In particular, it can be utilised to predict the onset of a sudden event such as a rare, extreme event which causes ...
Adrian-Josue Guel-Cortez, Eun-jin Kim
doaj +1 more source
Information Length as a Useful Index to Understand Variability in the Global Circulation
Mathematics, 2020 With improved measurement and modelling technology, variability has emerged as an essential feature in non-equilibrium processes. While traditionally, mean values and variance have been heavily used, they are not appropriate in describing extreme events ...
Eun-jin Kim, James Heseltine, Hanli Liu
doaj +1 more source