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http://dx.doi.org/10.1073/pnas.34.2.43 | DOI Listing |
Entropy (Basel)
November 2022
College of Computer Science, Sichuan University, Chengdu 610065, China.
Data representation has been one of the core topics in 3D graphics and pattern recognition in high-dimensional data. Although the high-resolution geometrical information of a physical object can be well preserved in the form of metrical data, e.g.
View Article and Find Full Text PDFSci Rep
November 2020
IMT School for Advanced Studies, P.zza S. Francesco 19, 55100, Lucca, Italy.
Many real networks feature the property of nestedness, i.e. the neighbours of nodes with a few connections are hierarchically nested within the neighbours of nodes with more connections.
View Article and Find Full Text PDFPhys Rev Lett
December 2019
Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA.
The resource theory of thermal operations, an established model for small-scale thermodynamics, provides an extension of equilibrium thermodynamics to nonequilibrium situations. On a lattice of any dimension with any translation-invariant local Hamiltonian, we identify a large set of translation-invariant states that can be reversibly converted to and from the thermal state with thermal operations and a small amount of coherence. These are the spatially ergodic states, i.
View Article and Find Full Text PDFEntropy (Basel)
July 2019
Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland.
Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability measure and the random variable, both considered in the Kolmogorov probability theory. Within the MV-algebraic probability theory, many important theorems (such as various versions of the central limit theorem or the individual ergodic theorem) have been recently studied and proven.
View Article and Find Full Text PDFGuang Pu Xue Yu Guang Pu Fen Xi
November 2016
As a secondary analysis method, reproducibility and reliability of near-infrared spectroscopy (NIRS) quantitative analysis are quite dependent on modelling process. In this paper, it is focused on outlier analysis for protein quantitative model of wheat based on NIRS. The purpose is to discuss the outlier effect in modelling process of complex sample set.
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