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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 online resource (256 p.) |
| Soggetto topico |
Mathematics & science
Research & information: general |
| Soggetto non controllato |
Augustin-Csiszár mutual information
Bahadur efficiency Bayes risk bootstrap Bregman divergence capacitory discrimination Carlson-Levin inequality chi-squared divergence conditional limit theorem conditional Rényi divergence convexity data transmission difference of convex (DC) programming dimensionality reduction discriminant analysis error exponents f-divergence f-divergences horse betting hypothesis testing information contraction information geometry information inequalities information measures Jensen diversity Jensen-Bregman divergence Jensen-Shannon centroid Jensen-Shannon divergence Kelly gambling large deviations Markov chains maximal correlation maximum likelihood method of types minimum divergence estimator mixture family mutual information n/a Pinsker's inequality relative entropy Rényi divergence Rényi entropy Rényi mutual information skew-divergence statistical divergences statistical inference strong data-processing inequalities total variation α-mutual information |
| 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 online resource (494 p.) |
| Soggetto non controllato |
?-continuity condition
accretive operators asymptotic error constant attractor basin banach space Banach space basin of attraction basins of attraction Chebyshev-Halley-type computational efficiency computational efficiency index computational order of convergence conjugate gradient method convex constraints convexity divided difference operator drazin inverse dynamics efficiency index engineering applications error bound finite difference (FD) fixed point theorem fourth order iterative methods Fréchet derivative Fredholm integral equation Frédholm integral equation generalized inverse global convergence heston model high order higher order higher order method higher order of convergence Hilbert space Hull-White integral equation intersection iteration scheme iterative method iterative methods iterative process Jarratt method Kantorovich hypothesis King's family Kung-Traub conjecture least square problem Lipschitz condition local convergence Moore-Penrose multi-valued quasi-nonexpasive mappings multiple roots multiple zeros multiple-root finder multipoint iterations multipoint iterative methods n-dimensional Euclidean space Newton method Newton-HSS method Newton-like method Newton-type methods Newton's iterative method Newton's method Newton's second order method non-differentiable operator non-linear equation nonlinear equation nonlinear equations nonlinear HSS-like method nonlinear models nonlinear monotone equations nonlinear operator equation nonlinear systems numerical experiment optimal iterative methods optimal methods optimal order option pricing order of convergence Padé approximation parametric curve PDE Picard-HSS method planar algebraic curve point projection Potra-Pták method projection method purely imaginary extraneous fixed point R-order radius of convergence rate of convergence rectangular matrices semi-local convergence semilocal convergence signal and image processing signal processing sixteenth order convergence method sixteenth-order optimal convergence smooth and nonsmooth operators split variational inclusion problem Steffensen's method system of nonlinear equations systems of nonlinear equations the improved curvature circle algorithm variational inequality problem weight function with memory |
| 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 online resource (318 p.) |
| Soggetto topico |
Mathematics & science
Research & information: general |
| Soggetto non controllato |
analytic functions
Appell-Bessel functions ArcTan and ArcTanh functions asymptotics Bessel functions bi-close-to-convex functions cardioid domain Catalan's constant Chebyshev polynomials circular domain close-to-convex functions close-to-convexity closed form closure property coefficient estimates combinatorial partition-theoretic identities conic domain convergence theorems convex functions convexity convolution cotangent sum Dedekind sum delta sequence determinant differential operator distortion distribution Euler sums Euler's pentagonal number theorem exponential sums Fibonacci number Fox-Wright function fractional Laplacian functions with positive real part gamma function and its extension generalized Lupaş operators generating functions Hadamard product Hankel determinant Hankel matrix Hardy space harmonic numbers harmonic univalent functions hyper-Bessel functions hypergeometric function and its extensions integral expressions integral representation integral representations inverse Jacobi's triple-product identity Janowski functions Korovkin's type theorem Lambert series laplace and other integral transforms lemniscate of Bernoulli Hankel determinant Lucas number m-fold symmetric functions Mersenne number modular transformation multivalent functions multivariable R-functions p-valent analytic function partial fractions periodic tridiagonal Toeplitz matrix Pochhammer symbol and its extensions q analogue q-Bernardi integral operator q-close-to-convex functions q-convex functions q-integral operator q-product identities q-Ruschweyh differential operator q-starlike functions quasi-Hadamard Ramanujan's theta functions reciprocals riemann zeta function Riesz fractional derivative Rogers-Ramanujan continued fraction Rogers-Ramanujan identities Schur's second partition theorem Schur's, the Göllnitz-Gordon's and the Göllnitz's partition identities second Hankel determinant Sherman-Morrison-Woodbury formula special functions starlike function starlike functions starlikeness subordinate subordination subordinations theta-function identities Toeplitz matrix Trigamma function umbral methods univalent function univalent functions Voronovskaya type theorem with symmetric conjecture point τ-Gauss hypergeometric function and its extensions τ-Kummer hypergeometric function |
| 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 online resource (184 p.) |
| Soggetto topico | Information technology industries |
| Soggetto non controllato |
artificial neural networks
assessment banking brain-computer interface breast cancer subtyping CART ensembles and bagging categorical data citizen science classification classification and regression tree clustering CNN-LSTM architectures consensus models convexity cross-validation dam inflow prediction damped Newton data quality data-adaptive kernel functions deep forest EEG motor imagery ensemble model feature selection Gower's interpolation formula Gower's metric hedonic prices housing hyper-parameter optimization image data input predictor selection kernel clustering kernel density estimation long short-term memory machine learning mathematical competency METABRIC dataset mixed data multi-category classifier multi-omics data multidimensional scaling multivariate adaptive regression splines n/a non-linear optimization predictive models quantile regression real-time motion imagery recognition similarity stochastic gradient descent support vector machine wavelet transform |
| 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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