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Geometric Science of Information [[electronic resource] ] : 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Geometric Science of Information [[electronic resource] ] : 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Edizione [1st ed. 2019.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Descrizione fisica 1 online resource (XIX, 770 p. 317 illus., 53 illus. in color.)
Disciplina 516.00285
Collana Image Processing, Computer Vision, Pattern Recognition, and Graphics
Soggetto topico Computer science—Mathematics
Artificial intelligence
Optical data processing
Data mining
Mathematics of Computing
Artificial Intelligence
Image Processing and Computer Vision
Data Mining and Knowledge Discovery
ISBN 3-030-26980-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part I: Shape Space -- On geometric properties of the textile set and strict textile set -- Inexact elastic shape matching in the square root normal field framework -- Signatures in Shape Analysis: an Efficient Approach to Motion Identification -- Dilation operator approach for time/Doppler spectra characterization on SU(n) -- Selective metamorphosis for growth modelling with applications to landmarks -- Part II: Geometric Mechanics -- Intrinsic Incremental Mechanics -- -Multi-symplectic Extension of Lie Group Thermodynamics for Covariant Field Theories -- Euler-Poincare equation for Lie groups with non null symplectic cohomology. Application to the Mechanics -- Geometric numerical methods for mechanics -- Souriau Exponential Map Algorithm for Machine Learning on Matrix Lie Groups -- Part 3: Geometry of Tensor-Valued Data -- R-Complex Finsler Information Geometry Applied to Manifolds of Systems -- Minkowski Sum of Ellipsoids and Means of Covariance Matrices -- Hyperquaternions: An Efficient Mathematical Formalism for Geometry -- Alpha-power sums on symmetric cones -- Packing Bounds for Outer Products with Applications to Compressive Sensing -- Part 4: Lie Group Machine Learning -- On a method to construct exponential families by representation theory -- Lie Group Machine Learning & Gibbs Density on Poincare Unit Disk from Souriau Lie Groups Thermodynamics and SU(1,1) Coadjoint Orbits -- Irreversible Langevin MCMC on Lie Groups -- Predicting Bending Moments with Machine Learning -- The exponential of nilpotent supergroups in the theory of Harish-Chandra representations -- Part 5: Geometric structures in thermodynamics and statistical physics -- Dirac structures in open thermodynamics -- From variational to single and double bracket formulations in nonequilibrium thermodynamics of simple systems -- A omological Approach to Belief Propagation and Bethe Approximations -- - About some systems-theoretic properties of Port Thermodynamic systems -- Expectation variables on a para-contact metric manifold exactly derived from master equations -- Part 6: Monotone embedding and affine immersion of probability models -- Doubly autoparallel structure and its applications -- Toeplitz Hermitian Positive Definite Matrix Machine Learning based on Fisher metric -- Deformed exponential and the behavior of the normalizing function -- Normalization problems for deformed exponential families -- New Geometry of parametric statistical Models -- Part 7: Divergence Geometry -- The Bregman chord divergence -- Testing the number and nature of components in a mixture distribution -- Robust etsimation by means of scaled Bregman power distances. Part I: Non-homogeneous data -- Robust estimation by means of scaled Bregman power distances. Part II: Extreme values -- Part 8: Computational Information Geometry -- Topological methods for unsupervised learning -- Geometry and fixed-rate quantization in Riemannian metric spaces induced by separable Bregman divergences -- The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models -- Parameter estimation with generalized empirical localization -- Properties of the cross entropy of ARMA processes -- Part 9: Statistical Manifold & Hessian Information Geometry -- Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian curvature -- Inequalities for statistical submanifolds in sasakian statistical manifolds -- Generalized Wintgen Inequality for Legendrian Submanifolds in Sasakian statistical manifolds -- Logarithmic divergence: geometry and interpretation of curvature -- Hessian Curvature and Optimal Transport -- Part 10: Non-parametric Information Geometry -- Divergence functions in Information Geometry -- Sobolev Statistical Manifolds and Exponential Models -- Minimization of the Kullback-Leibler divergence over a log-normal exponential arc -- Riemannian distance and diameter of the space of probability measures and the parametrix -- Part 11: Statistics on non-linear data -- A unified formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt distances between positive definite operators -- Exploration of Balanced Metrics on Symmetric Positive Definite Matrices -- Affine-invariant midrange statistics -- Is affine-invariance well defined on SPD matrices? A principled continuum of metrics -- Shape part transfer via semantic latent space factorization -- Part 12: Geometric and structure preserving discretizations -- Variational discretization framework for geophysical flows -- Finite element methods for geometric evolution equations -- Local truncation error of low-order fractional variational integrators -- A partitioned finite element method for the structure-preserving discretization of damped in finite-dimensional port-Hamiltonian systems with boundary control -- Geometry, Energy, and Entropy Compatible (GEEC) variational approaches to various numerical schemes for fluid dynamics -- Part 13: Optimization on Manifold -- Canonical Moments for Optimal Uncertainty Quantification on a Variety -- Computational investigations of an obstacle-type shape optimization problem in the space of smooth shapes -- Bezier curves and C^2 interpolation in Riemannian Symmetric Spaces -- A Formalization of The Natural Gradient Method for General Similarity Measures -- The Frenet-Serret framework for aligning geometric curves -- Part 14: Geometry of Quantum States -- When geometry meets psycho-physics and quantum mechanics: Modern perspectives on the space of perceived colors -- Quantum statistical manifolds: The finite-dimensional case -- Generalized Gibbs Ensembles in Discrete Quantum Gravity -- On the notion of composite system, classical and quantum -- Part 15: Probability on Riemannian Manifolds -- The Riemannian barycentre as a proxy for global optimization -- Hamiltonian Monte Carlo on Lie groups and constrained mechanics on homogeneous manifolds -- On the Fisher Rao information metric in the space of normal distributions -- Simulation of Conditioned Diffusions on the Flat Torus -- Towards parametric bi-invariant density estimation on SE(2) -- Part 16: Wasserstein Information Geometry / Optimal Transport -- Affine Natural Proximal Learning -- Parametric Fokker-Planck equation -- Multi-marginal Schroedinger bridges -- Hopf-Cole transformation and Schrodinger problems -- - Curvature of the manifold of fixed-rank positive-semidefinite matrices endowed with the Bures-Wasserstein metric -- Part 17: Geometric Science of Information Libraries -- Second-order networks in PyTorch -- Symmetric Algorithmic Components for Shape Analysis with Dieomorphisms.
Record Nr. UNISA-996466467103316
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Geometric Science of Information : 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Geometric Science of Information : 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Edizione [1st ed. 2019.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Descrizione fisica 1 online resource (XIX, 770 p. 317 illus., 53 illus. in color.)
Disciplina 516.00285
Collana Image Processing, Computer Vision, Pattern Recognition, and Graphics
Soggetto topico Computer science—Mathematics
Artificial intelligence
Optical data processing
Data mining
Mathematics of Computing
Artificial Intelligence
Image Processing and Computer Vision
Data Mining and Knowledge Discovery
ISBN 3-030-26980-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part I: Shape Space -- On geometric properties of the textile set and strict textile set -- Inexact elastic shape matching in the square root normal field framework -- Signatures in Shape Analysis: an Efficient Approach to Motion Identification -- Dilation operator approach for time/Doppler spectra characterization on SU(n) -- Selective metamorphosis for growth modelling with applications to landmarks -- Part II: Geometric Mechanics -- Intrinsic Incremental Mechanics -- -Multi-symplectic Extension of Lie Group Thermodynamics for Covariant Field Theories -- Euler-Poincare equation for Lie groups with non null symplectic cohomology. Application to the Mechanics -- Geometric numerical methods for mechanics -- Souriau Exponential Map Algorithm for Machine Learning on Matrix Lie Groups -- Part 3: Geometry of Tensor-Valued Data -- R-Complex Finsler Information Geometry Applied to Manifolds of Systems -- Minkowski Sum of Ellipsoids and Means of Covariance Matrices -- Hyperquaternions: An Efficient Mathematical Formalism for Geometry -- Alpha-power sums on symmetric cones -- Packing Bounds for Outer Products with Applications to Compressive Sensing -- Part 4: Lie Group Machine Learning -- On a method to construct exponential families by representation theory -- Lie Group Machine Learning & Gibbs Density on Poincare Unit Disk from Souriau Lie Groups Thermodynamics and SU(1,1) Coadjoint Orbits -- Irreversible Langevin MCMC on Lie Groups -- Predicting Bending Moments with Machine Learning -- The exponential of nilpotent supergroups in the theory of Harish-Chandra representations -- Part 5: Geometric structures in thermodynamics and statistical physics -- Dirac structures in open thermodynamics -- From variational to single and double bracket formulations in nonequilibrium thermodynamics of simple systems -- A omological Approach to Belief Propagation and Bethe Approximations -- - About some systems-theoretic properties of Port Thermodynamic systems -- Expectation variables on a para-contact metric manifold exactly derived from master equations -- Part 6: Monotone embedding and affine immersion of probability models -- Doubly autoparallel structure and its applications -- Toeplitz Hermitian Positive Definite Matrix Machine Learning based on Fisher metric -- Deformed exponential and the behavior of the normalizing function -- Normalization problems for deformed exponential families -- New Geometry of parametric statistical Models -- Part 7: Divergence Geometry -- The Bregman chord divergence -- Testing the number and nature of components in a mixture distribution -- Robust etsimation by means of scaled Bregman power distances. Part I: Non-homogeneous data -- Robust estimation by means of scaled Bregman power distances. Part II: Extreme values -- Part 8: Computational Information Geometry -- Topological methods for unsupervised learning -- Geometry and fixed-rate quantization in Riemannian metric spaces induced by separable Bregman divergences -- The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models -- Parameter estimation with generalized empirical localization -- Properties of the cross entropy of ARMA processes -- Part 9: Statistical Manifold & Hessian Information Geometry -- Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian curvature -- Inequalities for statistical submanifolds in sasakian statistical manifolds -- Generalized Wintgen Inequality for Legendrian Submanifolds in Sasakian statistical manifolds -- Logarithmic divergence: geometry and interpretation of curvature -- Hessian Curvature and Optimal Transport -- Part 10: Non-parametric Information Geometry -- Divergence functions in Information Geometry -- Sobolev Statistical Manifolds and Exponential Models -- Minimization of the Kullback-Leibler divergence over a log-normal exponential arc -- Riemannian distance and diameter of the space of probability measures and the parametrix -- Part 11: Statistics on non-linear data -- A unified formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt distances between positive definite operators -- Exploration of Balanced Metrics on Symmetric Positive Definite Matrices -- Affine-invariant midrange statistics -- Is affine-invariance well defined on SPD matrices? A principled continuum of metrics -- Shape part transfer via semantic latent space factorization -- Part 12: Geometric and structure preserving discretizations -- Variational discretization framework for geophysical flows -- Finite element methods for geometric evolution equations -- Local truncation error of low-order fractional variational integrators -- A partitioned finite element method for the structure-preserving discretization of damped in finite-dimensional port-Hamiltonian systems with boundary control -- Geometry, Energy, and Entropy Compatible (GEEC) variational approaches to various numerical schemes for fluid dynamics -- Part 13: Optimization on Manifold -- Canonical Moments for Optimal Uncertainty Quantification on a Variety -- Computational investigations of an obstacle-type shape optimization problem in the space of smooth shapes -- Bezier curves and C^2 interpolation in Riemannian Symmetric Spaces -- A Formalization of The Natural Gradient Method for General Similarity Measures -- The Frenet-Serret framework for aligning geometric curves -- Part 14: Geometry of Quantum States -- When geometry meets psycho-physics and quantum mechanics: Modern perspectives on the space of perceived colors -- Quantum statistical manifolds: The finite-dimensional case -- Generalized Gibbs Ensembles in Discrete Quantum Gravity -- On the notion of composite system, classical and quantum -- Part 15: Probability on Riemannian Manifolds -- The Riemannian barycentre as a proxy for global optimization -- Hamiltonian Monte Carlo on Lie groups and constrained mechanics on homogeneous manifolds -- On the Fisher Rao information metric in the space of normal distributions -- Simulation of Conditioned Diffusions on the Flat Torus -- Towards parametric bi-invariant density estimation on SE(2) -- Part 16: Wasserstein Information Geometry / Optimal Transport -- Affine Natural Proximal Learning -- Parametric Fokker-Planck equation -- Multi-marginal Schroedinger bridges -- Hopf-Cole transformation and Schrodinger problems -- - Curvature of the manifold of fixed-rank positive-semidefinite matrices endowed with the Bures-Wasserstein metric -- Part 17: Geometric Science of Information Libraries -- Second-order networks in PyTorch -- Symmetric Algorithmic Components for Shape Analysis with Dieomorphisms.
Record Nr. UNINA-9910349304403321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometric Science of Information [[electronic resource] ] : Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Geometric Science of Information [[electronic resource] ] : Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (XXV, 877 p. 168 illus.)
Disciplina 516.00285
Collana Image Processing, Computer Vision, Pattern Recognition, and Graphics
Soggetto topico Optical data processing
Artificial intelligence
Computer science—Mathematics
Computer security
Image Processing and Computer Vision
Artificial Intelligence
Mathematics of Computing
Systems and Data Security
ISBN 3-319-68445-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Statistics on non-linear data -- Shape space -- Optimal Transport & Applications -- Statistical Manifold & Hessian Information Geometry -- Statistical Manifold and Hessian Information Geometry -- Monotone Embedding in Information Geometry -- Information Structure in Neuroscience -- Geometric Robotics and Tracking -- Geometric Mechanics and Robotics -- Stochastic Geometric Mechanics and Lie Group Thermodynamics -- Probability on Riemannian Manifolds -- Divergence Geometry -- Non-parametric Information Geometry -- Optimization on Manifold -- Computational Information Geometry -- Probability Density Estimation -- Session Geometry of Tensor-Valued Data -- Geodesic Methods with Constraints -- Applications of Distance Geometry.
Record Nr. UNISA-996465414003316
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Geometric Science of Information : Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Geometric Science of Information : Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (XXV, 877 p. 168 illus.)
Disciplina 516.00285
Collana Image Processing, Computer Vision, Pattern Recognition, and Graphics
Soggetto topico Optical data processing
Artificial intelligence
Computer science—Mathematics
Computer security
Image Processing and Computer Vision
Artificial Intelligence
Mathematics of Computing
Systems and Data Security
ISBN 3-319-68445-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Statistics on non-linear data -- Shape space -- Optimal Transport & Applications -- Statistical Manifold & Hessian Information Geometry -- Statistical Manifold and Hessian Information Geometry -- Monotone Embedding in Information Geometry -- Information Structure in Neuroscience -- Geometric Robotics and Tracking -- Geometric Mechanics and Robotics -- Stochastic Geometric Mechanics and Lie Group Thermodynamics -- Probability on Riemannian Manifolds -- Divergence Geometry -- Non-parametric Information Geometry -- Optimization on Manifold -- Computational Information Geometry -- Probability Density Estimation -- Session Geometry of Tensor-Valued Data -- Geodesic Methods with Constraints -- Applications of Distance Geometry.
Record Nr. UNINA-9910483020303321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometric Science of Information [[electronic resource] ] : First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Geometric Science of Information [[electronic resource] ] : First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (XX, 879 p. 157 illus.)
Disciplina 006.6
006.37
Collana Image Processing, Computer Vision, Pattern Recognition, and Graphics
Soggetto topico Optical data processing
Artificial intelligence
Computer graphics
Pattern recognition
Computer science—Mathematics
Algorithms
Image Processing and Computer Vision
Artificial Intelligence
Computer Graphics
Pattern Recognition
Discrete Mathematics in Computer Science
Algorithm Analysis and Problem Complexity
ISBN 3-642-40020-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Geometric statistics on manifolds and Lie groups -- Deformations in shape spaces -- Differential Geometry in Signal Processing -- Relational Metric -- Discrete Metric Spaces -- Computational Information Geometry -- Computational Aspects of Information Geometry in Statistics -- Optimization on Matrix Manifolds -- Optimal Transport Theory -- Probability on Manifolds -- Divergence Geometry and Ancillarity -- Entropic Geometry -- Tensor-Valued Mathematical Morphology -- Machine/Manifold/Topology Learning -- Hessian Information Geometry -- Geometry of Audio Processing -- Geometry of Inverse Problems -- Algebraic/Infinite dimensional/Banach Information Manifolds -- Information Geometry Manifolds -- Algorithms on Manifolds.
Record Nr. UNISA-996465942303316
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Geometric Science of Information : First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Geometric Science of Information : First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings / / edited by Frank Nielsen, Frédéric Barbaresco
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (XX, 879 p. 157 illus.)
Disciplina 006.6
006.37
Collana Image Processing, Computer Vision, Pattern Recognition, and Graphics
Soggetto topico Optical data processing
Artificial intelligence
Computer graphics
Pattern recognition
Computer science—Mathematics
Algorithms
Image Processing and Computer Vision
Artificial Intelligence
Computer Graphics
Pattern Recognition
Discrete Mathematics in Computer Science
Algorithm Analysis and Problem Complexity
ISBN 3-642-40020-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Geometric statistics on manifolds and Lie groups -- Deformations in shape spaces -- Differential Geometry in Signal Processing -- Relational Metric -- Discrete Metric Spaces -- Computational Information Geometry -- Computational Aspects of Information Geometry in Statistics -- Optimization on Matrix Manifolds -- Optimal Transport Theory -- Probability on Manifolds -- Divergence Geometry and Ancillarity -- Entropic Geometry -- Tensor-Valued Mathematical Morphology -- Machine/Manifold/Topology Learning -- Hessian Information Geometry -- Geometry of Audio Processing -- Geometry of Inverse Problems -- Algebraic/Infinite dimensional/Banach Information Manifolds -- Information Geometry Manifolds -- Algorithms on Manifolds.
Record Nr. UNINA-9910483890503321
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century
Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century
Autore Gazeau Jean-Pierre
Pubbl/distr/stampa MDPI - Multidisciplinary Digital Publishing Institute, 2019
Descrizione fisica 1 electronic resource (260 p.)
Soggetto non controllato signal processing
thermodynamics
heat pulse experiments
quantum mechanics
variational formulation
Wigner function
nonholonomic constraints
thermal expansion
homogeneous spaces
irreversible processes
time-slicing
affine group
Fourier analysis
non-equilibrium processes
harmonic analysis on abstract space
pseudo-temperature
stochastic differential equations
fourier transform
Lie Groups
higher order thermodynamics
short-time propagators
discrete thermodynamic systems
metrics
heat equation on manifolds and Lie Groups
special functions
poly-symplectic manifold
non-Fourier heat conduction
homogeneous manifold
non-equivariant cohomology
Souriau-Fisher metric
Weyl quantization
dynamical systems
symplectization
Weyl-Heisenberg group
Guyer-Krumhansl equation
rigged Hilbert spaces
Lévy processes
Born–Jordan quantization
discrete multivariate sine transforms
continuum thermodynamic systems
interconnection
rigid body motions
covariant integral quantization
cubature formulas
Lie group machine learning
nonequilibrium thermodynamics
Van Vleck determinant
Lie groups thermodynamics
partial differential equations
orthogonal polynomials
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910346692703321
Gazeau Jean-Pierre  
MDPI - Multidisciplinary Digital Publishing Institute, 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui