Pith Number

pith:3HMGV22Q

pith:2013:3HMGV22QLOBPTCRI7K2WYJTHYF

not attested not anchored not stored refs resolved

Importance Nested Sampling and the MultiNest Algorithm

A.N. Pettitt, E. Cameron, F. Feroz, M.P. Hobson

Importance nested sampling reuses all MultiNest points to estimate Bayesian evidence up to ten times more accurately than standard nested sampling.

arxiv:1306.2144 v3 · 2013-06-10 · astro-ph.IM · physics.data-an · stat.CO

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

importance nested sampling (INS), an alternative summation of the MultiNest draws, which can calculate the Bayesian evidence at up to an order of magnitude higher accuracy than `vanilla' NS with no change in the way MultiNest explores the parameter space.

C2weakest assumption

That the full set of points collected during MultiNest's constrained likelihood sampling, including those previously discarded, can be treated as an unbiased pseudo-importance sample for evidence summation.

C3one line summary

Importance nested sampling re-uses all MultiNest points, including those previously discarded, as a pseudo-importance sample to estimate Bayesian evidence with substantially higher accuracy than vanilla nested sampling.

References

7 extracted · 7 resolved · 4 Pith anchors

[1] Initializing adaptive importance sampling with Markov chains 2008 · arXiv:1304.7808

[2] Cluster detection in weak lensing surveys 2012 · arXiv:0810.0781

[3] Consistency of the Adaptive Multiple Importance Sampling 2003 · arXiv:1211.2548

[4] Theory of binless multi-state free energy estimation with applications to protein-ligand binding, 2012

[5] Bayes in the sky: Bayesian inference and model selection in cosmology, 2008

Formal links

2 machine-checked theorem links

Cited by

17 papers in Pith

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dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences

Inferring the star-formation histories of massive quiescent galaxies with BAGPIPES: Evidence for multiple quenching mechanisms

Receipt and verification

First computed	2026-05-17T23:38:13.136234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d86aeb505b82f98a28fab56c2667c17f311fe5e662a080dc8a2828812f4147

Aliases

arxiv: 1306.2144 · arxiv_version: 1306.2144v3 · doi: 10.48550/arxiv.1306.2144 · pith_short_12: 3HMGV22QLOBP · pith_short_16: 3HMGV22QLOBPTCRI · pith_short_8: 3HMGV22Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3HMGV22QLOBPTCRI7K2WYJTHYF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d9d86aeb505b82f98a28fab56c2667c17f311fe5e662a080dc8a2828812f4147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8931f3deef74d25c0d30cefef5374e72ada9969c12e86ea72bd3c9ed1e546ae8",
    "cross_cats_sorted": [
      "physics.data-an",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2013-06-10T09:22:32Z",
    "title_canon_sha256": "cc6889135f08a4f4fd90647f79cc9ad20f42863167b4d2e1dd6b079f05721333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2144",
    "kind": "arxiv",
    "version": 3
  }
}