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Divergence Measures : Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems
| Divergence Measures : Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems |
| Autore | Sason Igal |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (256 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
Bregman divergence
f-divergence Jensen-Bregman divergence Jensen diversity Jensen-Shannon divergence capacitory discrimination Jensen-Shannon centroid mixture family information geometry difference of convex (DC) programming conditional Rényi divergence horse betting Kelly gambling Rényi divergence Rényi mutual information relative entropy chi-squared divergence f-divergences method of types large deviations strong data-processing inequalities information contraction maximal correlation Markov chains information inequalities mutual information Rényi entropy Carlson-Levin inequality information measures hypothesis testing total variation skew-divergence convexity Pinsker's inequality Bayes risk statistical divergences minimum divergence estimator maximum likelihood bootstrap conditional limit theorem Bahadur efficiency α-mutual information Augustin-Csiszár mutual information data transmission error exponents dimensionality reduction discriminant analysis statistical inference |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Divergence Measures |
| Record Nr. | UNINA-9910576871103321 |
Sason Igal
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut
| Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.7242 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Definite integrals Orbit method |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
Bianchi identity
Brownian motion Casimir operator Clifford algebras Clifford variables Dirac operator Euclidean vector space Feynman-Kac formula Gaussian integral Gaussian type estimates Heisenberg algebras Kostant Leftschetz formula Littlewood-Paley decomposition Malliavin calculus Pontryagin maximum principle Selberg's trace formula Sobolev spaces Toponogov's theorem Witten complex action functional complexification conjugations convergence convexity de Rham complex displacement function distance function elliptic Laplacian elliptic orbital integrals fixed point formulas flat bundle general kernels general orbital integrals geodesic flow geodesics harmonic oscillator heat kernel heat kernels heat operators hypoelliptic Laplacian hypoelliptic deformation hypoelliptic heat kernel hypoelliptic heat kernels hypoelliptic operators hypoelliptic orbital integrals index formulas index theory infinite dimensional orbital integrals keat kernels local index theory locally symmetric space matrix part model operator nondegeneracy orbifolds orbital integrals parallel transport trivialization probabilistic construction pseudodistances quantitative estimates quartic term real vector space refined estimates rescaled heat kernel resolvents return map rough estimates scalar heat kernel scalar heat kernels scalar hypoelliptic Laplacian scalar hypoelliptic heat kernels scalar hypoelliptic operator scalar part semisimple orbital integrals smooth kernels standard elliptic heat kernel supertraces symmetric space symplectic vector space trace formula unbounded operators uniform bounds uniform estimates variational problems vector bundles wave equation wave kernel wave operator |
| ISBN |
1-283-16387-X
9786613163875 1-4008-4057-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910456831103321 |
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Bismut Jean-Michel
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| Princeton, : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut
| Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.7242 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Definite integrals Orbit method |
| Soggetto non controllato |
Bianchi identity
Brownian motion Casimir operator Clifford algebras Clifford variables Dirac operator Euclidean vector space Feynman-Kac formula Gaussian integral Gaussian type estimates Heisenberg algebras Kostant Leftschetz formula Littlewood-Paley decomposition Malliavin calculus Pontryagin maximum principle Selberg's trace formula Sobolev spaces Toponogov's theorem Witten complex action functional complexification conjugations convergence convexity de Rham complex displacement function distance function elliptic Laplacian elliptic orbital integrals fixed point formulas flat bundle general kernels general orbital integrals geodesic flow geodesics harmonic oscillator heat kernel heat kernels heat operators hypoelliptic Laplacian hypoelliptic deformation hypoelliptic heat kernel hypoelliptic heat kernels hypoelliptic operators hypoelliptic orbital integrals index formulas index theory infinite dimensional orbital integrals keat kernels local index theory locally symmetric space matrix part model operator nondegeneracy orbifolds orbital integrals parallel transport trivialization probabilistic construction pseudodistances quantitative estimates quartic term real vector space refined estimates rescaled heat kernel resolvents return map rough estimates scalar heat kernel scalar heat kernels scalar hypoelliptic Laplacian scalar hypoelliptic heat kernels scalar hypoelliptic operator scalar part semisimple orbital integrals smooth kernels standard elliptic heat kernel supertraces symmetric space symplectic vector space trace formula unbounded operators uniform bounds uniform estimates variational problems vector bundles wave equation wave kernel wave operator |
| ISBN |
1-283-16387-X
9786613163875 1-4008-4057-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910781482503321 |
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Bismut Jean-Michel
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| Princeton, : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Iterative Methods for Solving Nonlinear Equations and Systems
| Iterative Methods for Solving Nonlinear Equations and Systems |
| Autore | Soleymani Fazlollah |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (494 p.) |
| Soggetto non controllato |
Lipschitz condition
heston model rectangular matrices computational efficiency Hull–White order of convergence signal and image processing dynamics divided difference operator engineering applications smooth and nonsmooth operators Newton-HSS method higher order method Moore–Penrose asymptotic error constant multiple roots higher order efficiency index multiple-root finder computational efficiency index Potra–Pták method nonlinear equations system of nonlinear equations purely imaginary extraneous fixed point attractor basin point projection fixed point theorem convex constraints weight function radius of convergence Frédholm integral equation semi-local convergence nonlinear HSS-like method convexity accretive operators Newton-type methods multipoint iterations banach space Kantorovich hypothesis variational inequality problem Newton method semilocal convergence least square problem Fréchet derivative Newton’s method iterative process Newton-like method Banach space sixteenth-order optimal convergence nonlinear systems Chebyshev–Halley-type Jarratt method iteration scheme Newton’s iterative method basins of attraction drazin inverse option pricing higher order of convergence non-linear equation numerical experiment signal processing optimal methods rate of convergence n-dimensional Euclidean space non-differentiable operator projection method Newton’s second order method intersection planar algebraic curve Hilbert space conjugate gradient method sixteenth order convergence method Padé approximation optimal iterative methods error bound high order Fredholm integral equation global convergence iterative method integral equation ?-continuity condition systems of nonlinear equations generalized inverse local convergence iterative methods multi-valued quasi-nonexpasive mappings R-order finite difference (FD) nonlinear operator equation basin of attraction PDE King’s family Steffensen’s method nonlinear monotone equations Picard-HSS method nonlinear models the improved curvature circle algorithm split variational inclusion problem computational order of convergence with memory multipoint iterative methods Kung–Traub conjecture multiple zeros fourth order iterative methods parametric curve optimal order nonlinear equation |
| ISBN | 3-03921-941-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910367739103321 |
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Soleymani Fazlollah
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| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical Analysis and Analytic Number Theory 2019
| Mathematical Analysis and Analytic Number Theory 2019 |
| Autore | Srivastava Rekha |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
| Descrizione fisica | 1 electronic resource (318 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
subordination
functions with positive real part reciprocals univalent functions starlikeness convexity close-to-convexity hyper-Bessel functions Hardy space distribution fractional Laplacian Riesz fractional derivative delta sequence convolution subordinations starlike functions convex functions close-to-convex functions cardioid domain Hankel determinant m-fold symmetric functions harmonic univalent functions with symmetric conjecture point integral expressions coefficient estimates distortion umbral methods harmonic numbers special functions integral representations laplace and other integral transforms analytic functions quasi-Hadamard differential operator closure property riemann zeta function asymptotics exponential sums multivalent functions q-Ruschweyh differential operator q-starlike functions circular domain q-Bernardi integral operator Bessel functions Appell–Bessel functions generating functions Chebyshev polynomials Euler sums Catalan’s constant Trigamma function integral representation closed form ArcTan and ArcTanh functions partial fractions Lambert series cotangent sum modular transformation Dedekind sum lemniscate of Bernoulli Hankel determinant determinant inverse Mersenne number periodic tridiagonal Toeplitz matrix Sherman-Morrison-Woodbury formula Fibonacci number Lucas number Toeplitz matrix Hankel matrix univalent function second Hankel determinant bi-close-to-convex functions gamma function and its extension Pochhammer symbol and its extensions hypergeometric function and its extensions τ-Gauss hypergeometric function and its extensions τ-Kummer hypergeometric function Fox-Wright function p-valent analytic function Hadamard product q-integral operator generalized Lupaş operators q analogue Korovkin’s type theorem convergence theorems Voronovskaya type theorem starlike function subordinate Janowski functions conic domain q-convex functions q-close-to-convex functions theta-function identities multivariable R-functions Jacobi’s triple-product identity Ramanujan’s theta functions q-product identities Euler’s pentagonal number theorem Rogers-Ramanujan continued fraction Rogers-Ramanujan identities combinatorial partition-theoretic identities Schur’s, the Göllnitz-Gordon’s and the Göllnitz’s partition identities Schur’s second partition theorem |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557507003321 |
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Srivastava Rekha
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Statistical Data Modeling and Machine Learning with Applications
| Statistical Data Modeling and Machine Learning with Applications |
| Autore | Gocheva-Ilieva Snezhana |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
| Descrizione fisica | 1 electronic resource (184 p.) |
| Soggetto topico | Information technology industries |
| Soggetto non controllato |
mathematical competency
assessment machine learning classification and regression tree CART ensembles and bagging ensemble model multivariate adaptive regression splines cross-validation dam inflow prediction long short-term memory wavelet transform input predictor selection hyper-parameter optimization brain-computer interface EEG motor imagery CNN-LSTM architectures real-time motion imagery recognition artificial neural networks banking hedonic prices housing quantile regression data quality citizen science consensus models clustering Gower's interpolation formula Gower's metric mixed data multidimensional scaling classification data-adaptive kernel functions image data multi-category classifier predictive models support vector machine stochastic gradient descent damped Newton convexity METABRIC dataset breast cancer subtyping deep forest multi-omics data categorical data similarity feature selection kernel density estimation non-linear optimization kernel clustering |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557359003321 |
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Gocheva-Ilieva Snezhana
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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