Pith Number

pith:SZFWBOAT

pith:2026:SZFWBOATNRZ6UJ5YU544FLMNET

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Combining pre-trained models via localized model averaging

Baihua He, Yuhong Yang, Ziwen Gao

Modeling averaging weights as functions of covariates yields asymptotically optimal in-sample and out-of-sample risks when combining pre-trained models.

arxiv:2605.13421 v1 · 2026-05-13 · stat.ME

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3 Author claim open · sign in to claim

4 Citations 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 establish the asymptotic optimality of the proposed method for both in-sample and out-of-sample risks, as well as the consistency of the estimated weights.

C2weakest assumption

The local weights can be flexibly learned as functions of covariates under a general loss that accommodates broad prediction tasks, with data conditions allowing consistent estimation.

C3one line summary

Localized model averaging with covariate-dependent weights achieves asymptotic optimality and weight consistency for combining pre-trained models under a general loss framework.

References

202 extracted · 202 resolved · 5 Pith anchors

[1] The Annals of Statistics , volume= 2000

[2] Combining forecasting procedures: 2004

[3] Journal of Econometrics , volume= 2013

[4] Journal of the American Statistical Association , volume= 2022

[5] Economics Letters , year=2017, volume= 2017

Receipt and verification

First computed	2026-05-18T02:44:47.333101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

964b60b8136c73ea27b8a779c2ad8d24fc81dcb047ab1d34823f91a2d8f06224

Aliases

arxiv: 2605.13421 · arxiv_version: 2605.13421v1 · doi: 10.48550/arxiv.2605.13421 · pith_short_12: SZFWBOATNRZ6 · pith_short_16: SZFWBOATNRZ6UJ5Y · pith_short_8: SZFWBOAT

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SZFWBOATNRZ6UJ5YU544FLMNET \
  | 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: 964b60b8136c73ea27b8a779c2ad8d24fc81dcb047ab1d34823f91a2d8f06224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff52b2eab230b2afdef90eef9cffde8b363aa0fd9c8151e3ad7af745130b60b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-13T12:16:04Z",
    "title_canon_sha256": "f885738edb92e46abd9a2b6170399ee325ca88d5506bac25f255507728c4df07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13421",
    "kind": "arxiv",
    "version": 1
  }
}