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1. Estimation and Testing Under Sparsity : École d'Été de Probabilités de Saint-Flour XLV – 2015
by Sara van de Geer
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2159
オンライン: http://dx.doi.org/10.1007/978-3-319-32774-7
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1 Introduction
The Lasso
3 The square-root Lasso
4 The bias of the Lasso and worst possible sub-directions
5 Confidence intervals using the Lasso
6 Structured sparsity
7 General loss with norm-penalty
8 Empirical process theory for dual norms
9 Probability inequalities for matrices
10 Inequalities for the centred empirical risk and its derivative
11 The margin condition
12 Some worked-out examples
13 Brouwer’s fixed point theorem and sparsity
14 Asymptotically linear estimators of the precision matrix
15 Lower bounds for sparse quadratic forms
16 Symmetrization, contraction and concentration
17 Chaining including concentration
18 Metric structure of convex hulls
1 Introduction
The Lasso
3 The square-root Lasso
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2. Extensions of Positive Definite Functions : Applications and Their Harmonic Analysis
by Palle Jorgensen, Steen Pedersen, Feng Tian
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2160
オンライン: http://dx.doi.org/10.1007/978-3-319-39780-1
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3. Stochastic Porous Media Equations
by Viorel Barbu, Giuseppe Da Prato, Michael Röckner
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2163
オンライン: http://dx.doi.org/10.1007/978-3-319-41069-2
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Foreword
Preface
Introduction
Equations with Lipschitz nonlinearities
Equations with maximal monotone nonlinearities
Variational approach to stochastic porous media equations
L1-based approach to existence theory for stochastic porous media equations
The stochastic porous media equations in Rd
Transition semigroups and ergodicity of invariant measures
Kolmogorov equations
A Two analytical inequalities
Bibliography
Glossary
Translator’s note
Index
Foreword
Preface
Introduction
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4. Séminaire de Probabilités XLVIII
edited by Catherine Donati-Martin, Antoine Lejay, Alain Rouault
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2168
オンライン: http://dx.doi.org/10.1007/978-3-319-44465-9
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Mathias Beiglböck, Martin Huesmann and Florian Stebegg: Root to Kellerer
Nicolas Juillet: Peacocks Parametrised by a Partially Ordered Set
Convex order for path-dependent derivatives: a dynamic programming approach
Dai Taguchi: Stability problem for one-dimensional stochastic differential equations with discontinuous drift
Alexis Devulder: The Maximum of the Local Time of a Diffusion Process in a Drifted Brownian Potential
Mátyás Barczy and Peter Kern: A link between Bougerol’s identity and a formula due to Donati-Martin, Matsumoto and Yor
Ismal Bailleul: Large deviation principle for bridges of sub-Riemannian diffus ion processes
Jürgen Angst and Camille Tardif: Dévissage of a Poisson boundary under equivariance and regularity conditions
Nicolas Privault: Weitzenböck and Clark-Ocone decompositions for differential forms on the space of normal martingales
Anita Behme, Alexander Lindner and Makoto Maejima: On the range of exponential functionals of Lévy processes
Cédric Lecouvey and Kilian Raschel: t-Martin boundary of killed random walks in the quadrant
Christophe Profeta and Thomas Simon: On the harmonic measure of stable processes
Oleskiy Khorunzhiy: On High Moments of Strongly Diluted Large Wigner Random Matrices
Songzi Li: Dyson processes on the octonion algebra
Franck Maunoury: Necessary and sufficient conditions for the existence of a-determinantal processes
Stéphane Laurent: Filtrations of the erased-word processes
Anna Aksamit and Libo Li: Projections, pseudo-stopping times and the immersion property
David Applebaum: Stationary Random Fields on the Unitary Dual of a Compact Group
Wendelin Werner: On the spatial Markov property of soups of unoriented and oriented loops
Mathias Beiglböck, Martin Huesmann and Florian Stebegg: Root to Kellerer
Nicolas Juillet: Peacocks Parametrised by a Partially Ordered Set
Convex order for path-dependent derivatives: a dynamic programming approach
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5. Pseudodifferential Equations Over Non-Archimedean Spaces
by W. A. Zúñiga-Galindo
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2174
オンライン: http://dx.doi.org/10.1007/978-3-319-46738-2
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p-Adic Analysis: Essential Ideas and Results
Parabolic-type Equations and Markov Processes
Non-Archimedean Parabolic-type Equations With Variable Coefficients
Parabolic-Type Equations on Adeles
Fundamental Solutions and Schrödinger Equations
Pseudodifferential Equations of Klein-Gordon Type
p-Adic Analysis: Essential Ideas and Results
Parabolic-type Equations and Markov Processes
Non-Archimedean Parabolic-type Equations With Variable Coefficients
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6. Stochastic Geometry, Spatial Statistics and Random Fields : Models and Algorithms
edited by Volker Schmidt
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2120
オンライン: http://dx.doi.org/10.1007/978-3-319-10064-7
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Stein’s Method for Approximating Complex Distributions, with a View towards Point Processes
Clustering Comparison of Point Processes, with Applications to Random Geometric Models
Random Tessellations and their Application to the Modelling of Cellular Materials
Stochastic 3D Models for the Micro-structure of Advanced Functional Materials
Boolean Random Functions
Random Marked Sets and Dimension Reduction
Space-Time Models in Stochastic Geometry
Rotational Integral Geometry and Local Stereology - with a View to Image Analysis
An Introduction to Functional Data Analysis
Some Statistical Methods in Genetics
Extrapolation of Stationary Random Fields
Spatial Process Simulation
Introduction to Coupling-from-the-Past using R
References
Index
Stein’s Method for Approximating Complex Distributions, with a View towards Point Processes
Clustering Comparison of Point Processes, with Applications to Random Geometric Models
Random Tessellations and their Application to the Modelling of Cellular Materials
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7. Lévy Matters IV : Estimation for Discretely Observed Lévy Processes
by Denis Belomestny, Fabienne Comte, Valentine Genon-Catalot, Hiroki Masuda, Markus Reiß
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2128
オンライン: http://dx.doi.org/10.1007/978-3-319-12373-8
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Estimation and calibration of Lévy models via Fourier methods
Adaptive Estimation for Lévy processes
Parametric estimation of Lévy processes
Estimation and calibration of Lévy models via Fourier methods
Adaptive Estimation for Lévy processes
Parametric estimation of Lévy processes
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8. Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
by David Alonso-Gutiérrez, Jesús Bastero
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2131
オンライン: http://dx.doi.org/10.1007/978-3-319-13263-1
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The Conjectures
Main Examples
Relating the Conjectures
Appendix
Index
The Conjectures
Main Examples
Relating the Conjectures
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9. Correlated Random Systems: Five Different Methods : CIRM Jean-Morlet Chair, Spring 2013
edited by Véronique Gayrard, Nicola Kistler
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2143
オンライン: http://dx.doi.org/10.1007/978-3-319-17674-1
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1 Random Polymers
2 Spontaneous replica symmetry breaking and interpolation methods for complex statistical mechanics systems
3 Derrida’s random energy models: from spin glasses to the extremes of correlated random fields
4 Isomorphism Theorems: Markov processes, Gaussian processes and beyond
5 Spectral properties of Wigner matrices
1 Random Polymers
2 Spontaneous replica symmetry breaking and interpolation methods for complex statistical mechanics systems
3 Derrida’s random energy models: from spin glasses to the extremes of correlated random fields
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10. Minimum Action Curves in Degenerate Finsler Metrics : Existence and Properties
by Matthias Heymann
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2134
オンライン: http://dx.doi.org/10.1007/978-3-319-17753-3
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