Results 21 to 30 of about 409,949 (290)
Optimal projection filters with information geometry [PDF]
, 2023 We review the introduction of several types of projection filters. Projection structures coming from information geometry are used to obtain a finite dimensional filter in the form of a stochastic differential equation (SDE), starting from the exact ...
Bernard Hanzon +5 more
core +1 more source
Towards a canonical divergence within information geometry [PDF]
, 2021 In Riemannian geometry geodesics are integral curves of the Riemannian distance gradient. We extend this classical result to the framework of Information Geometry.
Ay, N. +3 more
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The Information Geometry of UMAP
CoRR, 2023 12 pages, 2 figures, 3 tables ; Github repo (https://github.com/sashakolpakov/info-geometry-umap) ; to appear in Le ...
Alexander Kolpakov \ University of Neuch\^atel, Switzerland +2 more
openaire +3 more sources
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction [PDF]
, 2023 Jordan algebras arise naturally in (quantum) information geometry, and we want to understand their role and their structure within that framework. Inspired by Kirillov's discussion of the symplectic structure on coadjoint orbits, we provide a similar ...
Schwachhöfer, Lorenz J. +7 more
core +2 more sources
Syntax and Geometry of Information
Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), 2023 This paper presents an information-theoretical model of syntactic generalization. We study syntactic generalization from the perspective of the capacity to disentangle semantic and structural information, emulating the human capacity to assign a grammaticality judgment to semantically nonsensical sentences. In order to isolate the structure, we propose
Bailly, Raphaël +2 more
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Information geometry and holographic correlators
Journal of High Energy Physics, 2022 We explore perturbative corrections to quantum information geometry. In particular, we study a Bures information metric naturally associated with the correlation functions of a conformal field theory.
Hardik Bohra +2 more
doaj +1 more source
Biology, geometry and information [PDF]
Theory in Biosciences, 2021 AbstractThe main thesis developed in this article is that the key feature of biological life is the a biological process can control and regulate other processes, and it maintains that ability over time. This control can happen hierarchically and/or reciprocally, and it takes place in three-dimensional space.
openaire +3 more sources
An Information Geometry-Based Track-Before-Detect Algorithm for Range-Azimuth Measurements in Radar Systems. [PDF]
Entropy (Basel)The detection of weak moving targets in heterogeneous clutter backgrounds is a significant challenge in radar systems. In this paper, we propose a track-before-detect (TBD) method based on information geometry (IG) theory applied to range-azimuth ...
Liu J, Wu H, Yang Z, Hua X, Cheng Y.
europepmc +2 more sources
F‐Manifolds and geometry of information [PDF]
Bulletin of the London Mathematical Society, 2020 The theory of $F$-manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since 1990's. The focus of this paper consists in the demonstration that various spaces of
Combe , N., Manin, Y.
openaire +5 more sources
Quantum information geometry of driven CFTs
Journal of High Energy Physics, 2023 Driven quantum systems exhibit a large variety of interesting and sometimes exotic phenomena. Of particular interest are driven conformal field theories (CFTs) which describe quantum many-body systems at criticality.
Jan de Boer +3 more
doaj +1 more source