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" 2017 MATRIX Annals / "
David R. Wood, editor-in-chief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors.
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BL
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| Record Number
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860262
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| Title & Author
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2017 MATRIX Annals /\ David R. Wood, editor-in-chief ; Jan de Gier, Cheryl E. Praeger, Terence Tao, editors.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2019]
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| Series Statement
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MATRIX Book Series ;; 2
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1 online resource
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| ISBN
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3030041603
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: 3030041611
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: 303004162X
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: 9783030041601
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: 9783030041618
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: 9783030041625
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9783030041601
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| Notes
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3 Hamiltonian Monte Carlo
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| Contents
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Intro; Preface; Hypergeometric Motives and Calabi-Yau Differential Equations; Computational Inverse Problems; Integrability in Low-Dimensional Quantum Systems; Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger's Book; Combinatorics, Statistical Mechanics, and Conformal Field Theory; Mathematics of Risk; Tutte Centenary Retreat; Geometric R-Matrices: From Geometry to Probability; Contents; Part I Refereed Articles; A Metropolis-Hastings-Within-Gibbs Sampler for Nonlinear Hierarchical-Bayesian Inverse Problems; 1 Introduction
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2 The Randomize-Then-Optimize Proposal Density3 RTO-Metropolis-Hastings and Its Embedding Within Hiererichical Gibbs; 3.1 RTO-MH-Within-Hierarchical Gibbs; 4 Numerical Experiment; 5 Conclusions; References; Sequential Bayesian Inference for Dynamical Systems Using the Finite Volume Method; 1 Introduction; 1.1 A Stylized Problem; 2 Sequential Bayesian Inference for Dynamical Systems; 2.1 The Frobenius-Perron Operator is a PDE; 3 Finite Volume Solver; 4 Continuous-Time Frobenius-Perron Operator and Convergence of the FVM Approximation; 5 Computed Examples
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2.3 Likelihood-Informed Subspace3 Results; 4 Conclusions; References; Wider Contours and Adaptive Contours; 1 Introduction; 2 Three Fundamental Models; 2.1 Monomolecular, Bimolecular and Trimolecular Models; 3 Pseudospectra Are Important for Stochastic Processes; 4 A Mittag-Leffler Stochastic Simulation Algorithm; 5 Computing a Mittag-Leffler Matrix Function; 5.1 Computing Contour Integrals; 5.2 Estimating the Field of Values; 6 Conclusion; References; Bayesian Point Set Registration; 1 Introduction; 2 Problem Statement and Statistical Model; 2.1 Bayesian Formulation
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3 An Optimization Problem in Kc(Rd)4 Galerkin Approximations to Kc(R2); 5 Gradients of Functions on GA; 6 A First Numerical Simulation; References; Local Volatility Calibration by Optimal Transport; 1 Introduction; 2 Optimal Transport; 3 Formulation; 3.1 The Martingale Problem; 3.2 Augmented Lagrangian Approach; 4 Numerical Method; 5 Numerical Results; 6 Summary; References; Likelihood Informed Dimension Reduction for Remote Sensing of Atmospheric Constituent Profiles; 1 Introduction; 2 Methodology; 2.1 Bayesian Formulation of the Inverse Problem; 2.2 Prior Reduction
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5.1 FVF Tracking of a Pendulum from Measured Force6 Conclusions; References; Correlation Integral Likelihood for Stochastic Differential Equations; 1 Introduction; 2 Background; 2.1 Likelihood via Filtering; 2.2 Correlation Integral Likelihood; 3 Numerical Experiments; 3.1 Ornstein-Uhlenbeck with Modification for Dynamics; 3.2 Stochastic Chaos; 4 Conclusions; References; A Set Optimization Technique for Domain Reconstruction from Single-Measurement Electrical Impedance Tomography Data; 1 Introduction; 2 The Convex Source Support in Electrical Impedance Tomography
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| Abstract
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MATRIX is Australia's international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017: - Hypergeometric Motives and Calabi-Yau Differential Equations - Computational Inverse Problems - Integrability in Low-Dimensional Quantum Systems - Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger's Book - Combinatorics, Statistical Mechanics, and Conformal Field Theory - Mathematics of Risk - Tutte Centenary Retreat - Geometric R-Matrices: from Geometry to Probability The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
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| Subject
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Mathematics.
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Mathematics.
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| Dewey Classification
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510
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| LC Classification
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QA39.3.M38 2019
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| Added Entry
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Gier, Jan de
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Praeger, Cheryl E.
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Tao, Terence
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Wood, David R.
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