REVIEW 8 cited by
Nested Sampling Methods
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
Nested sampling (NS) computes parameter posterior distributions and makes Bayesian model comparison computationally feasible. Its strengths are the unsupervised navigation of complex, potentially multi-modal posteriors until a well-defined termination point. A systematic literature review of nested sampling algorithms and variants is presented. We focus on complete algorithms, including solutions to likelihood-restricted prior sampling, parallelisation, termination and diagnostics. The relation between number of live points, dimensionality and computational cost is studied for two complete algorithms. A new formulation of NS is presented, which casts the parameter space exploration as a search on a tree data structure. Previously published ways of obtaining robust error estimates and dynamic variations of the number of live points are presented as special cases of this formulation. A new online diagnostic test is presented based on previous insertion rank order work. The survey of nested sampling methods concludes with outlooks for future research.
Forward citations
Cited by 8 Pith papers
-
You're Gonna Need a Bigger Core: Calibrating Massive Star Models against Galactic OB-type Stars
Galactic OB-star HR-diagram data imply a constant core overshoot α_ov ≈ 0.33 for 12–40 M_sun, yielding larger helium cores than standard prescriptions.
-
An intrinsic decline of accretion activity in GRS 1915+105
Deep X-ray, radio, and infrared non-detections of GRS 1915+105 imply an intrinsic decline in accretion activity rather than enhanced obscuration, likely driven by 2023-2024 outflows clearing the inner disc.
-
Sampler-free gravitational wave inference using matrix multiplication
A new algorithm computes gravitational wave posterior distributions and evidence integrals by grid evaluation with matrix multiplications, avoiding stochastic samplers and running in minutes on a single CPU.
-
A catalogue of candidate milli-parsec separation massive black hole binaries from long term optical photometric monitoring
A combined CRTS and ZTF search yields 36 candidate milli-parsec massive black hole binaries with 3-5 cycles of sinusoidal variability, and shows that 58 earlier Graham et al. candidates are likely red noise.
-
Confidence intervals for functionals in constrained inverse problems via data-adaptive sampling-based calibration
Constraint-aware confidence intervals for ill-posed inverse problems are made computationally practical via a Berger-Boos bounding set, sampling, and quantile regression, achieving nominal coverage with shorter interv...
-
Background-level reconstruction of scalar-field potentials from dark-energy histories and comparison with analytic potential families
A background reconstruction maps prescribed ρ_de(z) histories to V(φ) and ranks analytic potentials by Bayesian evidence, with exponential preferred for CPL and shifted-tanh for sign-switching targets.
-
unimpeded: A Public Grid of Nested Sampling Chains for Cosmological Model Comparison and Tension Analysis
A public library of pre-computed nested-sampling chains for 8 cosmological models and a large dataset grid enables fast Bayesian model comparison; combined analyses most often prefer ΛCDM, with DES–Planck and SH0ES–Pl...
-
PolyStan: PolyChord nested sampling and Bayesian evidences for Stan models
PolyStan wraps PolyChord nested sampling for Stan models, enabling evidence computation and multimodal posterior sampling through a cmdstan-style interface.
Discussion (0). Continue with ORCID to comment.