Bayesian computation: a summary of the current state, and samples backwards and forwards
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Summary
The difficulties of modelling and then handling ever more complex datasets most likely call for a new type of tool for computational inference that dramatically reduces the dimension and size of the raw data while capturing its essential aspects.
- Type
- article
- Published
- 2015-06-11
- Cited by
- 196
- References
- 272
- Access
- Open access
- OpenAlex
- https://openalex.org/W639587122
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:35482512
Keywords
Computation, Bayesian probability, Current (fluid), Algorithm, Mathematics
References
- Spatial Statistics and Bayesian Computation
- MCMC Methods for Functions: ModifyingOld Algorithms to Make Them Faster
- Time-reversible diffusions
- An Introduction To Compressive Sampling
- Consistency and Fluctuations For Stochastic Gradient Langevin Dynamics
- Estimation of Finite Mixture Distributions Through Bayesian Sampling
- Bayesian Additive Regression Trees
- Langevin-Type Models I: Diffusions with Given Stationary Distributions and their Discretizations*
- Convex Analysis and Monotone Operator Theory in Hilbert Spaces
- Discussion contribution to U. Grenander and M.I. Miller: Representations of knowledge in complex systems
- Adaptive Monte Carlo for Bayesian Variable Selection in Regression Models
- A Pseudo-Marginal Perspective on the ABC Algorithm
- Handbook of Markov Chain Monte Carlo
- Bayesian parameter estimation via variational methods
- Stochastic Modelling for Systems Biology
- Bayesian analysis of measurement error models using INLA
- Bayesian analysis of mixture models with an unknown number of components- an alternative to reversible jump methods
- Efficient Bayesian Inference for Switching State-Space Models using Discrete Particle Markov Chain Monte Carlo Methods
- An Introduction to Variational Methods for Graphical Models
- A Shrinkage-Thresholding Metropolis Adjusted Langevin Algorithm for Bayesian Variable Selection
Cited by
- Efficient Adaptive MCMC Through Precision Estimation
- Bayesian Semiparametric Multivariate Density Deconvolution
- A Survey of Stochastic Simulation and Optimization Methods in Signal Processing
- Control functionals for Monte Carlo integration
- Bayesian computation: a perspective on the current state, and sampling backwards and forwards
- Multimodal, high-dimensional, model-based, Bayesian inverse problems with applications in biomechanics
- On the geometric ergodicity of Hamiltonian Monte Carlo
- Approximating Bayesian confidence regions in convex inverse problems
- A Gaussian-based framework for local Bayesian inversion of geophysical data to rock properties
- Maximum-a-Posteriori Estimation with Bayesian Confidence Regions
- Explaining Preference Heterogeneity with Mixed Membership Modeling
- New focused approaches to topics within model selection and approximate Bayesian inversion
- The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools
- Parallel Local Approximation MCMC for Expensive Models
- Importance sampling type correction of Markov chain Monte Carlo and exact approximations
- Fundamentals and Recent Developments in Approximate Bayesian Computation
- Langevin Diffusion Transitional Markov Chain Monte Carlo with an Application to Pharmacodynamics
- Bayesian Computation Methods for Inferring Regulatory Network Models Using Biomedical Data.
- Adaptive kernels in approximate filtering of state‐space models
- Accelerating Bayesian inference for evolutionary biology models
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