Pith Number

pith:CLKGG7GH

pith:2026:CLKGG7GH3AZD7NMO22XQLBJ7OR

not attested not anchored not stored refs pending

Constrained Policy Optimization with Cantelli-Bounded Value-at-Risk

Jan-Peter Calliess, Rohan Tangri

VaR-CPO approximates Value-at-Risk constraints via Cantelli's inequality to guarantee zero violations during training in feasible reinforcement learning environments.

arxiv:2601.22993 v4 · 2026-01-30 · cs.LG · stat.ML

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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

VaR-CPO achieves zero constraint violations during training in feasible environments, a property baseline methods fail to uphold, while providing worst-case bounds for policy improvement and constraint violation.

C2weakest assumption

The Cantelli inequality provides a sufficiently tight and conservative approximation to the true VaR constraint so that enforcing the bound still guarantees the original probabilistic constraint in practice.

C3one line summary

VaR-CPO approximates non-differentiable VaR constraints via Cantelli's inequality to enable safe, sample-efficient policy optimization with zero training violations in feasible environments.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-30T01:17:33.333863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d4637cc7d8323fb58ed6af05853f747e55a2b67d4353530956dd25adbf10a5

Aliases

arxiv: 2601.22993 · arxiv_version: 2601.22993v4 · doi: 10.48550/arxiv.2601.22993 · pith_short_12: CLKGG7GH3AZD · pith_short_16: CLKGG7GH3AZD7NMO · pith_short_8: CLKGG7GH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CLKGG7GH3AZD7NMO22XQLBJ7OR \
  | 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: 12d4637cc7d8323fb58ed6af05853f747e55a2b67d4353530956dd25adbf10a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a662487e501e5952911af607c6e10b4bdbd3b18692871938a12ba80531e99d48",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-30T13:57:47Z",
    "title_canon_sha256": "30ce4acde7984652dff459c97f283d90840781c4c1a41d0540b94b58f3c4c83c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.22993",
    "kind": "arxiv",
    "version": 4
  }
}