Pith Number

pith:SWCAX6XU

pith:2026:SWCAX6XUXQ6A7GV7ZNGDEDOYJU

not attested not anchored not stored refs pending

Convergence Rates for Latent Mixing Measures in Infinite Homoscedastic Location-Scale Mixture Models

Alessandro Rinaldo, Dung Le, Nhat Ho, Nicola Bariletto

Lower bounds link mixture density distances to Wasserstein and scale discrepancies, yielding contraction rates for latent mixing measures in infinite location-scale models with unknown shared scale.

arxiv:2605.06845 v2 · 2026-05-07 · math.ST · stat.TH

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\usepackage{pith}
\pithnumber{SWCAX6XUXQ6A7GV7ZNGDEDOYJU}

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Record completeness

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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

we obtain first-of-their-kind contraction rates in the context of Dirichlet process mixtures with an unknown scale parameter shared across components

C2weakest assumption

The approach relies on the smoothness of the mixture kernel via the rate of decay of its characteristic function and a novel PDE inversion condition for sharper inequalities in ordinary-smooth cases.

C3one line summary

The paper provides novel lower bounds connecting L1 distances of mixture densities to discrepancies in mixing measures, leading to first contraction rates for Dirichlet process mixtures with unknown scale.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Posterior concentration and adaptation of the mixing measure in Dirichlet process mixtures

Receipt and verification

First computed	2026-06-30T02:17:22.384261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95840bfaf4bc3c0f9abfcb4c320dd84d36788b57b46e8a365d85f3966dc6cffc

Aliases

arxiv: 2605.06845 · arxiv_version: 2605.06845v2 · doi: 10.48550/arxiv.2605.06845 · pith_short_12: SWCAX6XUXQ6A · pith_short_16: SWCAX6XUXQ6A7GV7 · pith_short_8: SWCAX6XU

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/SWCAX6XUXQ6A7GV7ZNGDEDOYJU \
  | 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: 95840bfaf4bc3c0f9abfcb4c320dd84d36788b57b46e8a365d85f3966dc6cffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2bd858dc1e78563cd133efe25a2f5043a0beff278111ea340d77cb51f1405e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-07T18:47:51Z",
    "title_canon_sha256": "f177ab30d7756e4f536519d9bcdddd5fd98de5ff816fa4d9869c8d2bd556bab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06845",
    "kind": "arxiv",
    "version": 2
  }
}