標(biāo)題: Titlebook: Geometric Structures of Information; Frank Nielsen Book 2019 Springer Nature Switzerland AG 2019 Hessian Information Geometry.Shape Space. [打印本頁(yè)] 作者: Fuctionary 時(shí)間: 2025-3-21 18:28
書(shū)目名稱(chēng)Geometric Structures of Information影響因子(影響力)
書(shū)目名稱(chēng)Geometric Structures of Information影響因子(影響力)學(xué)科排名
書(shū)目名稱(chēng)Geometric Structures of Information網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱(chēng)Geometric Structures of Information網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
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書(shū)目名稱(chēng)Geometric Structures of Information讀者反饋
書(shū)目名稱(chēng)Geometric Structures of Information讀者反饋學(xué)科排名
作者: Intervention 時(shí)間: 2025-3-21 21:35
1860-4862 tions between different mathematical domains like shape spac.This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. I作者: osteocytes 時(shí)間: 2025-3-22 04:13
,Metrische Dualit?t in der isotropen Ebene,characteristic Function, Koszul Forms, and affine representation of Lie Algebra and Lie Group. The 2nd Koszul form is an extension of classical Fisher metric. Koszul theory of hessian structures and Koszul forms could be considered as main foundation and pillars of Information Geometry.作者: 令人不快 時(shí)間: 2025-3-22 04:52 作者: Nonthreatening 時(shí)間: 2025-3-22 12:15
Models of Body Image for Boys and Mene coordinates. Finally, we demonstrate applications of the flattening to nonextensive statistical physics, Voronoi partitions and weighted centroids on the probability simplex with respect to ., which are not necessarily of Bregman type.作者: 搬運(yùn)工 時(shí)間: 2025-3-22 13:53 作者: 搬運(yùn)工 時(shí)間: 2025-3-22 19:57
Conformal Flattening on the Probability Simplex and Its Applications to Voronoi Partitions and Cente coordinates. Finally, we demonstrate applications of the flattening to nonextensive statistical physics, Voronoi partitions and weighted centroids on the probability simplex with respect to ., which are not necessarily of Bregman type.作者: Vulnerable 時(shí)間: 2025-3-22 23:03
Some Universal Insights on Divergences for Statistics, Machine Learning and Artificial Intelligenceg. Furthermore, we discuss some specificalities, subtleties as well as pitfalls when e.g. one “moves away” from the probability context. Several subcases and examples are given, including a new approach to obtain parameter estimators in continuous models which is based on noisy divergence minimization.作者: watertight, 時(shí)間: 2025-3-23 04:06 作者: abysmal 時(shí)間: 2025-3-23 08:00
Temperaturbeanspruchte Scheiben und Platten,m classical information theory generalize to this setting. Moreover, viewing the Fourier transform for noncommutative unimodular Lie groups as a matrix-valued function, relationships between trace inequalities, diffusion processes, and convolution are examined.作者: 呼吸 時(shí)間: 2025-3-23 10:41
Rho-Tau Embedding of Statistical Models,he coordinates of a parametric model are affine then the rho-tau metric tensor is Hessian and the dual coordinates are affine as well. We illustrate our approach using models belonging to deformed exponential families, and give a simple and precise characterization for the rho-tau metric to become Hessian.作者: Psa617 時(shí)間: 2025-3-23 14:34 作者: 有斑點(diǎn) 時(shí)間: 2025-3-23 19:58 作者: wangle 時(shí)間: 2025-3-23 23:18
Rho-Tau Embedding of Statistical Models,-tau divergence. It depends only on the product . of the derivatives of . and .. Hence, once the metric tensor is fixed still some freedom is left to manipulate the geometry. We call this the .. A sufficient condition for the existence of a dually flat geometry is established. It is shown that, if t作者: Commemorate 時(shí)間: 2025-3-24 03:15
A Class of Non-parametric Deformed Exponential Statistical Models,t zero. This class generalizes the class introduced by N.J.?Newton. We discuss the convexity and regularity of the normalization operator, the form of the deformed statistical divergences and their convex duality, the properties of the escort densities, and the affine manifold structure of the stati作者: 靈敏 時(shí)間: 2025-3-24 10:01 作者: 歡呼 時(shí)間: 2025-3-24 13:12 作者: STALL 時(shí)間: 2025-3-24 15:23
Monte Carlo Information-Geometric Structures,pect to any statistical divergence like the Kullback–Leibler (KL) divergence or the Hellinger divergence. When equipping a statistical manifold with the KL divergence, the induced manifold structure is dually flat, and the KL divergence between distributions amounts to an equivalent Bregman divergen作者: 繁榮地區(qū) 時(shí)間: 2025-3-24 22:47 作者: 乞丐 時(shí)間: 2025-3-24 23:22 作者: 百靈鳥(niǎo) 時(shí)間: 2025-3-25 05:48
Information-Theoretic Matrix Inequalities and Diffusion Processes on Unimodular Lie Groups,ifically, they have the properties of shift-invariant integration, an associative convolution operator, well-defined diffusion processes, and concepts of Entropy, Fisher information, Gaussian distribution, and Fourier transform. Equipped with these definitions, it is shown that many inequalities fro作者: Initiative 時(shí)間: 2025-3-25 09:59
Warped Riemannian Metrics for Location-Scale Models,lso of fundamental importance in information geometry. Precisely, the starting point is a new theorem, which states that the Rao–Fisher information metric of any location-scale model, defined on a Riemannian manifold, is a warped Riemannian metric, whenever this model is invariant under the action o作者: ATP861 時(shí)間: 2025-3-25 15:12 作者: Expand 時(shí)間: 2025-3-25 16:54 作者: 心神不寧 時(shí)間: 2025-3-25 20:22 作者: Etymology 時(shí)間: 2025-3-26 02:29
Timothy D. Brewerton,Kathleen Bradypass this problem, we consider performing stochastic Monte Carlo (MC) estimation of those integral-based mixture/exponential family Bregman generators. We show that, under natural assumptions, these MC generators are almost surely Bregman generators. We define a series of dually flat information geo作者: 似少年 時(shí)間: 2025-3-26 06:14
Anisotrope Scheiben und Platten,ect of considerably under-estimating standard errors when compared to our more general assumptions and, potentially, introducing bias. We comment on the implications of this. The survival times of adult acute myeloid leukaemia patients in northwest England are analyzed.作者: GLOOM 時(shí)間: 2025-3-26 08:32 作者: fluffy 時(shí)間: 2025-3-26 13:58 作者: Intentional 時(shí)間: 2025-3-26 20:05 作者: neutralize 時(shí)間: 2025-3-26 23:04
Statistical Manifolds Admitting Torsion and Partially Flat Spaces,e-contrast function. The aim of this paper is to summarize such previous results. In particular, we focus on a partially flat space, which is a statistical manifold admitting torsion where one of its dual connections is flat. In this space, it is possible to discuss some properties similar to those 作者: 管理員 時(shí)間: 2025-3-27 01:17 作者: GRIEF 時(shí)間: 2025-3-27 06:27 作者: tinnitus 時(shí)間: 2025-3-27 10:45 作者: 姑姑在炫耀 時(shí)間: 2025-3-27 16:14 作者: impale 時(shí)間: 2025-3-27 20:26
Frank NielsenFeatures new and fruitful interactions between several branches of science: information science, mathematics and physics.Addresses interrelations between different mathematical domains like shape spac作者: 機(jī)密 時(shí)間: 2025-3-28 01:50
Springer Nature Switzerland AG 2019作者: 善變 時(shí)間: 2025-3-28 05:56
Geometric Structures of Information978-3-030-02520-5Series ISSN 1860-4862 Series E-ISSN 1860-4870 作者: 稱(chēng)贊 時(shí)間: 2025-3-28 09:27 作者: 小卷發(fā) 時(shí)間: 2025-3-28 13:59
A Class of Non-parametric Deformed Exponential Statistical Models,t zero. This class generalizes the class introduced by N.J.?Newton. We discuss the convexity and regularity of the normalization operator, the form of the deformed statistical divergences and their convex duality, the properties of the escort densities, and the affine manifold structure of the statistical bundle作者: 修正案 時(shí)間: 2025-3-28 15:44 作者: Orthodontics 時(shí)間: 2025-3-28 19:53 作者: MODE 時(shí)間: 2025-3-28 23:27 作者: 過(guò)多 時(shí)間: 2025-3-29 03:28
The Female Body as a Site of Oppositiont zero. This class generalizes the class introduced by N.J.?Newton. We discuss the convexity and regularity of the normalization operator, the form of the deformed statistical divergences and their convex duality, the properties of the escort densities, and the affine manifold structure of the stati作者: 無(wú)關(guān)緊要 時(shí)間: 2025-3-29 07:38
Oral Status in Eating Disordersns on the manifold .. This geometrical structure is called a statistical manifold and plays a central role in information geometry. Recently, the notion of pre-contrast function has been introduced and shown to induce a similar differential geometrical structure on ., but one of the two dual affine 作者: 有花 時(shí)間: 2025-3-29 12:20
Models of Body Image for Boys and Menbability simplex from a viewpoint of . and provides its applications. By restricting affine immersions with certain conditions, the probability simplex is realized to be 1-conformally flat statistical manifolds immersed in .. Using this fact, we introduce a concept of . for such manifolds in order t作者: 傳授知識(shí) 時(shí)間: 2025-3-29 18:59
