Results 51 to 60 of about 328,113 (128)
The Geometry of Signal Detection with Applications to Radar Signal Processing
Entropy, 2016 The problem of hypothesis testing in the Neyman–Pearson formulation is considered from a geometric viewpoint. In particular, a concise geometric interpretation of deterministic and random signal detection in the philosophy of information geometry is ...
Yongqiang Cheng +4 more
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Deformed Algebras and Generalizations of Independence on Deformed Exponential Families
Entropy, 2015 A deformed exponential family is a generalization of exponential families. Since the useful classes of power law tailed distributions are described by the deformed exponential families, they are important objects in the theory of complex systems.
Hiroshi Matsuzoe, Tatsuaki Wada
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Nonparametric Information Geometry [PDF]
, 2013 Submitted for publication in the Proceedings od GSI2013 Aug 28-30 2013 ...
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Intrinsic Information-Theoretic Models
EntropyWith this follow-up paper, we continue developing a mathematical framework based on information geometry for representing physical objects. The long-term goal is to lay down informational foundations for physics, especially quantum physics.
D. Bernal-Casas, J. M. Oller
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Information geometry and the renormalization group [PDF]
Physical Review E, 2015 1 + 20 Pages, LaTeX. References added, Discussions improved. Version accepted in Phys.
Maity, Reevu +2 more
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The basics of information geometry [PDF]
AIP Conference Proceedings, 2015 To what extent can we distinguish one probability distribution from another? Are there quantitative measures of distinguishability? The goal of this tutorial is to approach such questions by introducing the notion of the "distance" between two probability distributions and exploring some basic ideas of such an "information geometry".
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On Information Geometrical Structures
Hittite Journal of Science and Engineering, 2018 Information geometry is a modern differential geometric approach to statistics, in particular theory of information. The main motivation for this expository survey article is the lack of compact material that mainly address to mathematical audience ...
Fatma Muazzez Simsir
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Matrix Information Geometry [PDF]
, 2013 Book dedication.- Preface.- Part I: State-of-the-art surveys & original matrix theory work.- Part II: Advanced matrix theory for radar processing.- Part III: Matrix-based signal processing applications.- Index of ...
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INFORMATION GEOMETRY.Information geometry aims at elucidating structures of information spaces by the help of modern differential geometry. It is expected to give a new powerful method applicable to a wide field of information including transformation theory, statistics, control theory, etc.
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Variational Information Principles to Unveil Physical Laws
MathematicsThis article demonstrates that the application of the variation method to purely information-theoretic models can lead to the discovery of fundamental equations in physics, such as Schrödinger’s equation.
D. Bernal-Casas, J. M. Oller
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