Pith Number

pith:4DNWNNUO

pith:2026:4DNWNNUOUCIBV7Q33NXOYRNZIA

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Support-Proximity Augmented Diffusion Estimation for Offline Black-Box Optimization

Bowei He, Can Chen, Haolun Wu, Linfeng Du, Xue Liu, Ye Yuan, Yonghan Yang, Zipeng Sun

SPADE augments diffusion models with support-proximity regularization to solve offline black-box optimization more effectively.

arxiv:2605.11246 v2 · 2026-05-11 · cs.LG

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Claims

C1strongest claim

SPADE achieves state-of-the-art performance across Design-Bench tasks and an LLM data mixture optimization benchmark. Theoretically, we prove that our regularization is first-order equivalent to maximizing a Bayesian posterior with a valid design prior.

C2weakest assumption

That kNN-based density estimation on the input space sufficiently captures the data manifold constraint p(x) and that the added calibration module can enforce global moment and ranking consistency without distorting the learned conditional distribution p(y|x).

C3one line summary

SPADE augments conditional diffusion models for forward surrogate modeling in offline BBO with calibrated moment/ranking consistency and support-proximity regularization, achieving SOTA on Design-Bench and LLM optimization benchmarks.

Formal links

1 machine-checked theorem link

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-05-22T01:04:55.438509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0db66b68ea0901afe1bdb6eec45b94005bfbf35048d2c1604061cd4edd41aa1

Aliases

arxiv: 2605.11246 · arxiv_version: 2605.11246v2 · doi: 10.48550/arxiv.2605.11246 · pith_short_12: 4DNWNNUOUCIB · pith_short_16: 4DNWNNUOUCIBV7Q3 · pith_short_8: 4DNWNNUO

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4DNWNNUOUCIBV7Q33NXOYRNZIA \
  | 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: e0db66b68ea0901afe1bdb6eec45b94005bfbf35048d2c1604061cd4edd41aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb2af30a39151a7801f3a03c58f4042e468bded850a9daa4efdc575143cdb7c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-11T21:09:28Z",
    "title_canon_sha256": "3543e9f49a00ac3d720c581bd200e75a00137da6284da5d14904ec3f6b24a067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11246",
    "kind": "arxiv",
    "version": 2
  }
}