4.6 Article

Geometric Variational Inference

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Astronomy & Astrophysics

Comparison of classical and Bayesian imaging in radio interferometry: Cygnus A with CLEAN and resolve

Philipp Arras et al.

Summary: The traditional CLEAN imaging algorithm in radio interferometry has several shortcomings, such as the inability to handle the concept of diffuse flux and generating unphysical negative flux regions. In contrast, the Bayesian imaging algorithm resolve can effectively address these issues and achieve super-resolution, albeit at the cost of higher computational effort.

ASTRONOMY & ASTROPHYSICS (2021)

Article Physics, Multidisciplinary

Field Dynamics Inference for Local and Causal Interactions

Philipp Frank et al.

Summary: Inference of fields defined in space and time from observational data is a core discipline in many scientific areas. The proposed method in this work is based on statistically homogeneous random fields defined in space and time and demonstrates how to reconstruct the field together with its prior correlation structure from data. The prior model of the correlation structure is described in a non-parametric fashion and solely builds on fundamental physical assumptions such as space-time homogeneity, locality, and causality.

ANNALEN DER PHYSIK (2021)

Article Astronomy & Astrophysics

Reconstructing non-repeating radio pulses with Information Field Theory

C. Welling et al.

Summary: This paper discusses the importance of radio signals from particle showers in dielectric media for detecting cosmic rays and neutrinos, as well as the application of Information Field Theory to accurately reconstruct pulse parameters from noisy data.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2021)

Article Statistics & Probability

A Geometric Variational Approach to Bayesian Inference

Abhijoy Saha et al.

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (2020)

Article Astronomy & Astrophysics

The Galactic Faraday depth sky revisited

Sebastian Hutschenreuter et al.

ASTRONOMY & ASTROPHYSICS (2020)

Article Astronomy & Astrophysics

Resolving nearby dust clouds

R. H. Leike et al.

ASTRONOMY & ASTROPHYSICS (2020)

Article Astronomy & Astrophysics

Unified radio interferometric calibration and imaging with joint uncertainty quantification

Philipp Arras et al.

ASTRONOMY & ASTROPHYSICS (2019)

Review Statistics & Probability

Variational Inference: A Review for Statisticians

David M. Blei et al.

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (2017)

Article Mathematics, Applied

FAST ESTIMATION OF tr(f(A)) VIA STOCHASTIC LANCZOS QUADRATURE

Shashanka Ubaru et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2017)

Article Computer Science, Artificial Intelligence

A tutorial on variational Bayesian inference

Charles W. Fox et al.

ARTIFICIAL INTELLIGENCE REVIEW (2012)

Review Statistics & Probability

Riemann manifold Langevin and Hamiltonian Monte Carlo methods

Mark Girolami et al.

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY (2011)

Article Mathematics, Applied

DISCRETIZATION-INVARIANT BAYESIAN INVERSION AND BESOV SPACE PRIORS

Matti Lassas et al.

INVERSE PROBLEMS AND IMAGING (2009)

Article Mathematics

Triangular transformations of measures

VI Bogachev et al.

SBORNIK MATHEMATICS (2005)

Article Multidisciplinary Sciences

Markov chain Monte Carlo without likelihoods

P Marjoram et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2003)