Article
Astronomy & Astrophysics
Daniel L. Nedel
Summary: This work introduces new interaction terms between two SYK models, enabling the calculation of vacuum time dependent entanglement entropy in the conformal and large N limit. It is found that the vacuum evolves as a time dependent SU(2) squeezed state, and the time dependent entanglement entropy follows the same form as the Page curve of Black Hole formation and evaporation.
Article
Construction & Building Technology
Yin Tang, Zixiong Su, Hang Yu, Kege Zhang, Chaoen Li, Hai Ye
Summary: This study measured the local insulation of 57 typical garments and 62 ensembles with different layers, finding significant differences in local insulation values compared to overall insulation values, especially varying greatly between different body parts. A new method for estimating the overall insulation of ensembles was proposed based on prediction equations of local insulation, resulting in a reduction of mean relative error from 12.6% to 3.4% compared to traditional linear regression equations. This study provides basic data and prediction equations for future research on clothing insulation and local thermal comfort.
BUILDING AND ENVIRONMENT
(2022)
Article
Quantum Science & Technology
Anna Vershynina
Summary: We investigate the coherence of relative entropy and find that good coherence measures can be defined using Tsallis or Renyi entropy when measured. However, Tsallis entropy does not generate a genuine coherence monotone unless under very restrictive operations. Additionally, we provide a continuity estimate for Renyi coherence and present two coherence measures based on the closest incoherent state measured by Tsallis or Renyi relative entropy.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Physics, Multidisciplinary
Niv Levhari, Alex Samorodnitsky
Summary: This article introduces the study of noise operators on the Boolean cube, proving tight results related to the Renyi entropy and norms.
Article
Physics, Multidisciplinary
Petr Jizba, Hynek Lavicka, Zlata Tabachova
Summary: This paper discusses the challenge of uncovering causal interdependencies from observational data in nonlinear time series analysis using Renyi's information measure. The authors focus on Renyi's transfer entropy to analyze the directional information flow between bivariate time series. They show that by selecting the appropriate parameter, information can be controlled between specific parts of the distributions. The study establishes the equivalence between Granger causality and Renyi transfer entropy for Gaussian variables.
Article
Computer Science, Artificial Intelligence
Souad Chennaf, Jaleleddine Ben Amor
Summary: This paper proposes a new type of entropy called Renyi entropy as an extension of logarithm entropy in an uncertain random environment and applies it to portfolio selection. The mathematical properties of Renyi entropy and partial Renyi entropy are examined and an approach for calculating partial Renyi entropy through Monte Carlo simulation is provided. The concept of Renyi cross-entropy and partial Renyi cross-entropy is introduced for uncertain random variables. Numerical examples are used to illustrate the application of partial Renyi entropy in portfolio selection.
Article
Physics, Multidisciplinary
Huaijing Huang, Zhaoqi Wu, Chuanxi Zhu, Shao-Ming Fei
Summary: Quantifying the quantumness of ensembles is an important and practical task in quantum information theory. In this paper, the quantumness of quantum ensembles is quantified based on a coherence quantifier and generalized alpha-z-relative Renyi entropy. The measure satisfies the desired properties of a quantumness measure and its relationship with existing measures is discussed, with detailed examples provided to illustrate its application.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2021)
Article
Physics, Particles & Fields
Pengfei Zhang, Yingfei Gu, Alexei Kitaev
Summary: In this study, stringy effects in a potential gravity-dual picture for SYK-like models are related to the branching time, which is a kinetic coefficient defined by the retarded kernel. A bound on the branching time is proposed when assuming the leading diagrams are ladders with thin rungs, suggesting that such models are unlikely candidates for sub-AdS holography. Additionally, in the weak coupling limit, a relationship between the branching time, Lyapunov exponent, and quasiparticle lifetime is derived using two different approximations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Computer Science, Artificial Intelligence
Rehan Ahmad Khan Sherwani, Tooba Arshad, Mohammed Albassam, Muhammad Aslam, Shumaila Abbas
Summary: This research proposed modified forms of entropy measures for dealing with interval value data, specifically applied to the Weibull distribution. The results suggested that these methods are more suitable for handling random variable data with uncertainty or vagueness.
COMPLEX & INTELLIGENT SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Sergei Koltcov, Vera Ignatenko, Maxim Terpilovskii, Paolo Rosso
Summary: The paper introduces an approach based on Renyi entropy to determine the correct number of topics in hierarchical topic models and tests it on three different hierarchical models. The experimental results show varying performance of different models in determining the number of topics.
PEERJ COMPUTER SCIENCE
(2021)
Review
Chemistry, Multidisciplinary
Federico Fogolari, Roberto Borelli, Agostino Dovier, Gennaro Esposito
Summary: The article introduces the application and advantages of the kth nearest neighbor method in entropy estimation, as well as the relevant variables, metrics, and applications associated with this method. By combining this method with mutual information, high-dimensional problems can be addressed.
WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE
(2023)
Article
Physics, Multidisciplinary
Wendao Yuan, Zhaoqi Wu, Shao-Ming Fei
Summary: This article discusses the key role of the Gram matrix of a set of quantum pure states in quantum information theory, and quantifies the quantumness of a pure-state ensemble using the generalized alpha-z-relative Renyi entropy of coherence. The practicality of this quantifier is demonstrated by calculating the quantumness of important pure-state ensembles and comparing it with other existing quantifiers.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2022)
Article
Computer Science, Theory & Methods
Jiheon Woo, Chanhee Yoo, Young-Sik Kim, Yuval Cassuto, Yongjune Kim
Summary: This paper discusses the estimation problem of minimum entropy for non-independent and identically distributed sources and proposes two techniques to accurately estimate the minimum entropy. The first technique resolves the overestimation problem by translating the collision entropy into the minimum entropy. Next, the LRS estimator is generalized by adopting the general Renyi entropy instead of the collision entropy (i.e., second-order Renyi entropy), and it is shown that adopting a higher order can reduce the variance of minimum entropy estimates. By integrating these techniques, a generalized LRS estimator is proposed, which effectively resolves the overestimation problem and provides stable minimum entropy estimates. Theoretical analysis and empirical results support that the proposed generalized LRS estimator significantly improves the estimation accuracy, making it an appealing alternative to the LRS estimator.
IEEE TRANSACTIONS ON INFORMATION FORENSICS AND SECURITY
(2023)
Article
Computer Science, Artificial Intelligence
Rakshitha Godahewa, Kasun Bandara, Geoffrey Webb, Slawek Smyl, Christoph Bergmeir
Summary: Ensembling techniques are used to improve the performance of Global Forecasting Models (GFM) and univariate models in heterogeneous datasets. A new clustered ensembles methodology is proposed to train multiple GFMs on different clusters of series, achieving higher accuracy than baseline models.
KNOWLEDGE-BASED SYSTEMS
(2021)
Article
Physics, Multidisciplinary
Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao
Summary: This paper proves that the Renyi entropy power of general probability densities solving the p-nonlinear heat equation in Rn is a concave function of time under certain conditions, extending previous concavity inequalities. The authors provide a condition that includes previous conditions and is more general, ultimately obtaining the necessary conditions systematically.
