Pith Number

pith:HKKJZXQP

pith:2026:HKKJZXQPITLBZDDLSYNTWKV5UH

not attested not anchored not stored refs resolved

Bayesian Algorithm for Collaborative Optimization with Application to Aircraft Design

Mohamed Ali Belhafnaoui, Youssef Diouane

A Bayesian algorithm for collaborative optimization uses Gaussian process surrogates to reduce black-box evaluations while achieving better designs in multidisciplinary problems.

arxiv:2605.05474 v1 · 2026-05-06 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKKJZXQPITLBZDDLSYNTWKV5UH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

On the Scalable MDO problem, BACO consistently achieves lower objective values and drives both constraint violation and interdisciplinary discrepancy to near-zero within the evaluation budget, outperforming all three CO variants across all tested DoE sizes. On the CRM wing problem, BACO identifies a feasible solution within 886 of 1000 allocated evaluations.

C2weakest assumption

The Gaussian process surrogates accurately capture the black-box disciplinary responses and feasibility regions sufficiently well that the acquisition-function-driven points remain informative and the predicted discrepancy constraints enforce true consistency.

C3one line summary

BACO replaces direct black-box calls in collaborative optimization with Gaussian process surrogates at both subsystem and system levels, achieving lower objectives and near-zero constraint violations on MDO benchmarks and a CRM wing problem within limited evaluations.

References

42 extracted · 42 resolved · 1 Pith anchors

[1] Multidisciplinary Design Optimization: A Survey of Architectures 2013 · doi:10.2514/1.j051895

[2] Collaborative Optimization: An Architecture for Large-Scale Distributed Design 1996

[3] Development and Application of the Collaborative Optimization Architecture in a Multidisci- plinary Design Environment 1995

[4] Analytical and Computational Aspects of Collaborative Optimization for Multidisci- plinary Design 2002 · doi:10.2514/2.1646

[5] Enhanced Collaborative Optimization: Application to an Analytic Test Problem and Aircraft Design 2008 · doi:10.2514/6.2008-

Receipt and verification

First computed	2026-06-08T01:04:06.670868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a949cde0f44d61c8c6b961b3b2abda1cf899783000de2f74ba05fe5b7d6749c

Aliases

arxiv: 2605.05474 · arxiv_version: 2605.05474v1 · doi: 10.48550/arxiv.2605.05474 · pith_short_12: HKKJZXQPITLB · pith_short_16: HKKJZXQPITLBZDDL · pith_short_8: HKKJZXQP

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/HKKJZXQPITLBZDDLSYNTWKV5UH \
  | 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: 3a949cde0f44d61c8c6b961b3b2abda1cf899783000de2f74ba05fe5b7d6749c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a277575c937aa5d987c268f60b4077a94c37c7f4d6054721403e1d1911ebc11",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-06T21:53:00Z",
    "title_canon_sha256": "46f093d2b50bddfd7588327bf70796d39cf63d1f5c00707acdd0af24b79a1fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05474",
    "kind": "arxiv",
    "version": 1
  }
}