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