E-Books durchsuchen

Geometric Science of Information [2021]

1
From Bayesian Inference to MCMC and Convex Optimisation in Hadamard Manifolds
2
Finite Sample Smeariness on Spheres
3
Gaussian Distributions on Riemannian Symmetric Spaces in the Large <italic>N</italic> Limit
4
Smeariness Begets Finite Sample Smeariness
5
Online Learning of Riemannian Hidden Markov Models in Homogeneous Hadamard Spaces
6
Submanifolds of Fixed Degree in Graded Manifolds for Perceptual Completion
7
An Auditory Cortex Model for Sound Processing
8
Conformal Model of Hypercolumns in V1 Cortex and the Möbius Group. Application to the Visual Stability Problem
9
Extremal Controls for the Duits Car
10
Multi-shape Registration with Constrained Deformations
11
Geodesics and Curvature of the Quotient-Affine Metrics on Full-Rank Correlation Matrices
12
Parallel Transport on Kendall Shape Spaces
13
Diffusion Means and Heat Kernel on Manifolds
14
A Reduced Parallel Transport Equation on Lie Groups with a Left-Invariant Metric
15
Currents and <italic>K</italic>-functions for Fiber Point Processes
16
<italic>Q</italic>-Information Geometry of Systems
17
Group Actions and Monotone Metric Tensors: The Qubit Case
18
Quantum Jensen-Shannon Divergences Between Infinite-Dimensional Positive Definite Operators
19
Towards a Geometrization of Quantum Complexity and Chaos
20
Hunt’s Colorimetric Effect from a Quantum Measurement Viewpoint
21
The Herglotz Principle and Vakonomic Dynamics
22
Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems
23
Examples of Symbolic and Numerical Computation in Poisson Geometry
24
New Directions for Contact Integrators
25
Space-Time Thermo-Mechanics for a Material Continuum
26
Entropic Dynamics Yields Reciprocal Relations
27
Gibbs States on Symplectic Manifolds with Symmetries
28
Gaussian Distributions on the Space of Symmetric Positive Definite Matrices from Souriau’s Gibbs State for Siegel Domains by Coadjoint Orbit and Moment Map
29
On Gaussian Group Convex Models
30
Exponential-Wrapped Distributions on <inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mtext>SL</mtext><mo>(</mo><mn>2</mn><mo>,</mo><mi>C</mi><mo>)</mo></mrow></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text {SL}(2,\mathbb {C})$$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula> and the Möbius Group
31
Information Geometry and Hamiltonian Systems on Lie Groups
32
Multisymplectic Variational Integrators for Fluid Models with Constraints
33
Metriplectic Integrators for Dissipative Fluids
34
From Quantum Hydrodynamics to Koopman Wavefunctions I
35
From Quantum Hydrodynamics to Koopman Wavefunctions II
36
The Fisher Information of Curved Exponential Families and the Elegant Kagan Inequality
37
Continuous Wavelet Transforms for Vector-Valued Functions
38
Entropy Under Disintegrations
39
Koszul Information Geometry, Liouville-Mineur Integrable Systems and Moser Isospectral Deformation Method for Hermitian Positive-Definite Matrices
40
Flapping Wing Coupled Dynamics in Lie Group Setting
41
Canonical Foliations of Statistical Manifolds with Hyperbolic Compact Leaves
42
Open Problems in Global Analysis. Structured Foliations and the Information Geometry
43
Curvature Inequalities and Simons’ Type Formulas in Statistical Geometry
44
Harmonicity of Conformally-Projectively Equivalent Statistical Manifolds and Conformal Statistical Submersions
45
Algorithms for Approximating Means of Semi-infinite Quasi-Toeplitz Matrices
46
Archetypal Model of Entropy by Poisson Cohomology as Invariant Casimir Function in Coadjoint Representation and Geometric Fourier Heat Equation
47
Bridge Simulation and Metric Estimation on Lie Groups
48
Constructing the Hamiltonian from the Behaviour of a Dynamical System by Proper Symplectic Decomposition
49
Non-relativistic Limits of General Relativity
50
A Primer on Alpha-Information Theory with Application to Leakage in Secrecy Systems
51
Schrödinger Encounters Fisher and Rao: A Survey
52
Projections with Logarithmic Divergences
53
Chernoff, Bhattacharyya, Rényi and Sharma-Mittal Divergence Analysis for Gaussian Stationary ARMA Processes
54
Wasserstein Statistics in One-Dimensional Location-Scale Models
55
Traditional and Accelerated Gradient Descent for Neural Architecture Search
56
Recent Developments on the MTW Tensor
57
Wasserstein Proximal of GANs
58
Information Cohomology of Classical Vector-Valued Observables
59
Belief Propagation as Diffusion
60
Towards a Functorial Description of Quantum Relative Entropy
61
Frobenius Statistical Manifolds and Geometric Invariants
62
<inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><mspace></mspace><mi>SU</mi><mspace></mspace></mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\,\mathrm{SU}\,}}(1,1)$$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula> Equivariant Neural Networks and Application to Robust Toeplitz Hermitian Positive Definite Matrix Classification
63
Iterative SE(3)-Transformers
64
End-to-End Similarity Learning and Hierarchical Clustering for Unfixed Size Datasets
65
Information Theory and the Embedding Problem for Riemannian Manifolds
66
cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope
67
Topological Model of Neural Information Networks
68
On Information Links
69
Betti Curves of Rank One Symmetric Matrices
70
Algebraic Homotopy Interleaving Distance
71
A Python Hands-on Tutorial on Network and Topological Neuroscience
72
Computing Statistical Divergences with Sigma Points
73
Remarks on Laplacian of Graphical Models in Various Graphs
74
Classification in the Siegel Space for Vectorial Autoregressive Data
75
Information Metrics for Phylogenetic Trees via Distributions of Discrete and Continuous Characters
76
Wald Space for Phylogenetic Trees
77
A Necessary Condition for Semiparametric Efficiency of Experimental Designs
78
Parametrisation Independence of the Natural Gradient in Overparametrised Systems
79
Properties of Nonlinear Diffusion Equations on Networks and Their Geometric Aspects
80
Rényi Relative Entropy from Homogeneous Kullback-Leibler Divergence Lagrangian
81
Statistical Bundle of the Transport Model
82
Efficient Quasi-Geodesics on the Stiefel Manifold
83
Optimization of a Shape Metric Based on Information Theory Applied to Segmentation Fusion and Evaluation in Multimodal MRI for DIPG Tumor Analysis
84
Metamorphic Image Registration Using a Semi-lagrangian Scheme
85
Geometry of the Symplectic Stiefel Manifold Endowed with the Euclidean Metric
86
On <italic>f</italic>-divergences Between Cauchy Distributions
87
Transport Information Hessian Distances
88
Minimization with Respect to Divergences and Applications
89
Optimal Transport with Some Directed Distances
90
Robust Empirical Likelihood
91
Mind2Mind: Transfer Learning for GANs
92
Fast and Asymptotic Steering to a Steady State for Networks Flows
93
Geometry of Outdoor Virus Avoidance in Cities
94
A Particle-Evolving Method for Approximating the Optimal Transport Plan
95
Schrödinger Problem for Lattice Gases: A Heuristic Point of View
96
A Variational Perspective on the Thermodynamics of Non-isothermal Reacting Open Systems
97
On the Thermodynamic Interpretation of Deep Learning Systems
98
Dirac Structures in Thermodynamics of Non-simple Systems
Feedback