Results 41 to 50 of about 326,200 (128)
Interest rates and information geometry [PDF]
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001 20 pages, 3 ...
Brody, D C, Hughston, L P
openaire +4 more sources
AxiomsA critical processing step for AI algorithms is mapping the raw data to a landscape where the similarity of two data points is conveniently defined. Frequently, when the data points are compositions of probability functions, the similarity is reduced to ...
Giovanni Pistone, Muhammad Shoaib
doaj +1 more source
Divergence Functions in Information Geometry [PDF]
, 2019 10 ...
Felice, Domenico, Ay, Nihat
openaire +2 more sources
Information geometry and phase transitions [PDF]
Physica A: Statistical Mechanics and its Applications, 2004 6 pages with 1 ...
Janke, W., Johnston, D. A., Kenna, R.
openaire +2 more sources
Information Geometry under Hierarchical Quantum Measurement
Physical Review Letters, 2022 This is a short version of arXiv:2109 ...
Hongzhen Chen, Yu Chen, Haidong Yuan
openaire +3 more sources
On the Fisher Metric of Conditional Probability Polytopes
Entropy, 2014 We consider three different approaches to define natural Riemannian metrics on polytopes of stochastic matrices. First, we define a natural class of stochastic maps between these polytopes and give a metric characterization of Chentsov type in terms of ...
Guido Montúfar, Johannes Rauh, Nihat Ay
doaj +1 more source
Entropy, 2017 Information geometry enables a deeper understanding of the methods of statistical inference. In this paper, the problem of nonlinear parameter estimation is considered from a geometric viewpoint using a natural gradient descent on statistical manifolds ...
Yongqiang Cheng, Xuezhi Wang, Bill Moran
doaj +1 more source
Multisource Fusion UAV Cluster Cooperative Positioning Using Information Geometry
Remote Sensing, 2022 Due to the functional limitations of a single UAV, UAV clusters have become an important part of smart cities, and the relative positioning between UAVs is the core difficulty in UAV cluster applications.
Chengkai Tang +4 more
doaj +1 more source
Sentience and the Origins of Consciousness: From Cartesian Duality to Markovian Monism
Entropy, 2020 This essay addresses Cartesian duality and how its implicit dialectic might be repaired using physics and information theory. Our agenda is to describe a key distinction in the physical sciences that may provide a foundation for the distinction between ...
Karl J. Friston +2 more
doaj +1 more source
Duality in Quantum Information Geometry [PDF]
Open Systems & Information Dynamics, 2004 Let [Formula: see text] be a separable Hilbert space. We consider the manifold [Formula: see text] consisting of density operators ρ on [Formula: see text] such that ρp is of trace class for some p ɛ (0, 1). We say [Formula: see text] is nearby ρ if there exists C > 1 such that C−1 ρ < σ < Cρ.
openaire +1 more source