Pith. sign in

Nested Sampling Methods

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
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.

citation-role summary

background 1

citation-polarity summary

roles

background 1

polarities

background 1

representative citing papers

An intrinsic decline of accretion activity in GRS 1915+105

astro-ph.HE · 2026-07-07 · conditional · novelty 6.0

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.

The Radius of PSR J0740+6620 from NICER and XMM-Newton Data

astro-ph.HE · 2021-05-14 · conditional · novelty 6.0

PSR J0740+6620 has an equatorial radius of 13.7^{+2.6}_{-1.5} km, and multi-messenger data constrain 1.4 and 2.08 solar-mass neutron star radii to 12.45 and 12.35 km respectively.

citing papers explorer

Showing 3 of 3 citing papers.

  • An intrinsic decline of accretion activity in GRS 1915+105 astro-ph.HE · 2026-07-07 · conditional · none · ref 26 · internal anchor

    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.

  • The Radius of PSR J0740+6620 from NICER and XMM-Newton Data astro-ph.HE · 2021-05-14 · conditional · none · ref 27

    PSR J0740+6620 has an equatorial radius of 13.7^{+2.6}_{-1.5} km, and multi-messenger data constrain 1.4 and 2.08 solar-mass neutron star radii to 12.45 and 12.35 km respectively.

  • Counting voids and filaments: Betti Curves as a Powerful Probe for Cosmology astro-ph.CO · 2025-12-08 · unverdicted · none · ref 88

    Betti curves from persistent homology of large-scale structure provide complementary cosmological constraints on ns, sigma8, and Om, with tighter bounds when analyzed jointly with the power spectrum.