Information geometry encoded in bulk geometry
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2020)107
Abstract: We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained… read more here.
Keywords: information geometry; encoded bulk; geometry; bulk geometry ... See more keywords
Information geometry theory of bifurcations? A covariant formulation.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0069033
Abstract: The conventional local bifurcation theory (CBT) fails to present a complete characterization of the stability and general aspects of complex phenomena. After all, the CBT only explores the behavior of nonlinear dynamical systems in the… read more here.
Keywords: theory; geometry theory; geometry; theory bifurcations ... See more keywords
Information geometry and Bose-Einstein condensation.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0136244
Abstract: It is a long held conjecture in the connection between information geometry (IG) and thermodynamics that the curvature endowed by IG diverges at phase transitions. Recent work on the IG of Bose-Einstein (BE) gases challenged… read more here.
Keywords: limit; geometry; bose einstein; curvature ... See more keywords
Information geometry and synchronization phase transition in the Kuramoto model.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.044211
Abstract: We discuss how the synchronization in the Kuramoto model can be treated in terms of information geometry. We argue that the Fisher information is sensitive to synchronization transition; specifically, components of the Fisher metric diverge… read more here.
Keywords: kuramoto model; synchronization; information geometry; geometry ... See more keywords
Stochastic Thermodynamic Interpretation of Information Geometry.
Sign Up to like & getrecommendations! Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.121.030605
Abstract: In recent years, the unified theory of information and thermodynamics has been intensively discussed in the context of stochastic thermodynamics. The unified theory reveals that information theory would be useful to understand nonstationary dynamics of… read more here.
Keywords: information geometry; information; thermodynamics; stochastic thermodynamic ... See more keywords
Information Geometry under Hierarchical Quantum Measurement.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.250502
Abstract: In most quantum technologies, measurements need to be performed on the parametrized quantum states to transform the quantum information to classical information. The measurements, however, inevitably distort the information. The characterization of the discrepancy is… read more here.
Keywords: information; geometry hierarchical; quantum; hierarchical quantum ... See more keywords
Information Geometry-Based Fuzzy-C Means Algorithm for Cooperative Spectrum Sensing
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3019422
Abstract: In this paper, the spectrum sensing problem is investigated under the context of information geometry and a novel clustering algorithm based spectrum sensing scheme is developed to obtain a classifier to estimate the channel state… read more here.
Keywords: information geometry; based fuzzy; spectrum sensing; geometry ... See more keywords
Generalized t-SNE Through the Lens of Information Geometry
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3113397
Abstract: t-SNE (t-distributed Stochastic Neighbor Embedding) is known to be one of the very powerful tools for dimensionality reduction and data visualization. By adopting the student’s t-distribution in the original SNE (Stochastic Neighbor Embedding), t-SNE achieves… read more here.
Keywords: information geometry; generalized sne; original sne; geometry ... See more keywords
Target detection and tracking based on information geometry for sensor networks
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Sensor Networks"
DOI: 10.1504/ijsnet.2019.10021952
Abstract: In this paper, the application of information geometry is explored in an attempt to gain a better understanding of sensor system issues for target resolution and tracking in ground-to-air sensor networks. In particular, the Fisher… read more here.
Keywords: information geometry; target detection; geometry; sensor networks ... See more keywords
Conjugate Representations and Characterizing Escort Expectations in Information Geometry
Sign Up to like & getrecommendations! Published in 2017 at "Entropy"
DOI: 10.3390/e19070309
Abstract: Based on the maximum entropy (MaxEnt) principle for a generalized entropy functional and the conjugate representations introduced by Zhang, we have reformulated the method of information geometry. For a set of conjugate representations, the associated… read more here.
Keywords: information geometry; conjugate representations; geometry; escort expectation ... See more keywords
On the Limiting Behaviour of the Fundamental Geodesics of Information Geometry
Sign Up to like & getrecommendations! Published in 2017 at "Entropy"
DOI: 10.3390/e19100524
Abstract: The Information Geometry of extended exponential families has received much recent attention in a variety of important applications, notably categorical data analysis, graphical modelling and, more specifically, log-linear modelling. The essential geometry here comes from… read more here.
Keywords: information geometry; behaviour fundamental; fundamental geodesics; limiting behaviour ... See more keywords