Pith Number

pith:QI6J2BFV

pith:2026:QI6J2BFVUX2T3SCAES27P73M37

not attested not anchored not stored refs resolved

Bounded-Rationality, Hedging, and Generalization

Pedro A. Ortega

Generalization is a testable hedging property of a learner's response law to training samples.

arxiv:2605.15340 v1 · 2026-05-14 · cs.LG

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\usepackage{pith}
\pithnumber{QI6J2BFVUX2T3SCAES27P73M37}

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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

Generalization is treated as a testable hedging property of the learner's own response law.

C2weakest assumption

The learner's response law can be represented by an f-divergence regularizer whose native geometry supplies both the lower tradeoff curve and the upper certificate curve, and that these quantities can be recovered from black-box observations of responses to scaled losses and local perturbations.

C3one line summary

Generalization is a testable hedging property of the learner's response law, recovered via f-divergence regularizers that induce information-geometric curves between training loss and sample dependence.

References

69 extracted · 69 resolved · 4 Pith anchors

[1] David A. McAllester. Some PAC-Bayesian Theorems.Machine Learning, 37(3):355–363, 1999 1999

[2] Institute of Mathematical Statistics, 2007 2007

[3] Information-Theoretic Analysis of Generalization Capability of Learning Algorithms 2017

[4] Reasoning About Generalization via Conditional Mutual Information 2020

[5] arXiv preprint arXiv:2309.04381 , year= 2024

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:53.327452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823c9d04b5a5f53dc84024b5f7ff6cdfc9ca308134209751798e42b1f4d128ff

Aliases

arxiv: 2605.15340 · arxiv_version: 2605.15340v1 · doi: 10.48550/arxiv.2605.15340 · pith_short_12: QI6J2BFVUX2T · pith_short_16: QI6J2BFVUX2T3SCA · pith_short_8: QI6J2BFV

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QI6J2BFVUX2T3SCAES27P73M37 \
  | 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: 823c9d04b5a5f53dc84024b5f7ff6cdfc9ca308134209751798e42b1f4d128ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d751d5376fe414ec674028363624984ed3b098bbc0db7f4a53e2dda0d14989f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-14T19:07:53Z",
    "title_canon_sha256": "5464bdaab99de8cfd9a0e1faafc59851894d15fed853670f616abb9567db9664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15340",
    "kind": "arxiv",
    "version": 1
  }
}