Pith Number

pith:Y3HFMZEP

pith:2026:Y3HFMZEPW46KCMH7FZG65XU7TR

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Even More Guarantees for Variational Inference in the Presence of Symmetries

Antonio Vergari, Lena Zellinger

Sufficient conditions on target symmetries guarantee exact mean recovery in variational inference with forward KL and alpha-divergences even under misspecification.

arxiv:2604.21407 v2 · 2026-04-23 · cs.LG · stat.CO · stat.ML

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\usepackage{pith}
\pithnumber{Y3HFMZEPW46KCMH7FZG65XU7TR}

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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 derive sufficient conditions guaranteeing exact recovery of the mean when using the forward Kullback-Leibler divergence and α-divergences.

C2weakest assumption

The target distribution possesses symmetries that interact with the location-scale variational family in a way that permits exact mean recovery under the chosen divergences.

C3one line summary

Sufficient conditions on target symmetries guarantee exact mean recovery in variational inference with location-scale families for forward KL and alpha-divergences.

Receipt and verification

First computed	2026-06-08T01:04:05.387653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ce56648fb73ca130ff2e4deede9f9c4fed22c422d2d30c79c1c85a224dc91e

Aliases

arxiv: 2604.21407 · arxiv_version: 2604.21407v2 · doi: 10.48550/arxiv.2604.21407 · pith_short_12: Y3HFMZEPW46K · pith_short_16: Y3HFMZEPW46KCMH7 · pith_short_8: Y3HFMZEP

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/Y3HFMZEPW46KCMH7FZG65XU7TR \
  | 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: c6ce56648fb73ca130ff2e4deede9f9c4fed22c422d2d30c79c1c85a224dc91e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bdd00534c2c7db380a087717999d0533099837aaa94a2b36f97cc6ebe35414",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-04-23T08:22:37Z",
    "title_canon_sha256": "5c3f1df0bd481e7111bf7c43793bd9fae3f8448a5231fc1aa1b40ecc0b0c5db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.21407",
    "kind": "arxiv",
    "version": 2
  }
}