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pith:PJW27EJT

pith:2026:PJW27EJTZY2DMHX332FQKTCT7N
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Estimating Tail Risks in Language Model Output Distributions

He He, Kathleen McKeown, Raghav Singhal, Rajesh Ranganath, Rico Angell, Zachary Horvitz, Zhou Yu

Creating unsafe versions of language models allows accurate estimation of rare harmful outputs with 10-20 times fewer samples than brute force.

arxiv:2604.22167 v2 · 2026-04-24 · cs.LG · cs.AI

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Claims

C1strongest claim

On benchmarks measuring misuse and misalignment, these estimates match brute-force Monte Carlo estimates using 10-20x fewer samples. For example, we can estimate probability of harmful outputs on the order of 10^-4 with just 500 samples.

C2weakest assumption

That unsafe versions of the target model can be constructed such that importance sampling yields unbiased estimates of the original model's harmful output probabilities without introducing systematic bias from the modification process.

C3one line summary

Importance sampling with unsafe model variants estimates tail probabilities of harmful language model outputs using 10-20x fewer samples than brute-force Monte Carlo.

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1 paper in Pith

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First computed 2026-06-11T01:09:36.049698Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7a6daf9133ce34361efbde8b054c53fb699642678948de336cd0f514930a5658

Aliases

arxiv: 2604.22167 · arxiv_version: 2604.22167v2 · doi: 10.48550/arxiv.2604.22167 · pith_short_12: PJW27EJTZY2D · pith_short_16: PJW27EJTZY2DMHX3 · pith_short_8: PJW27EJT
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Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PJW27EJTZY2DMHX332FQKTCT7N \
  | 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: 7a6daf9133ce34361efbde8b054c53fb699642678948de336cd0f514930a5658
Canonical record JSON
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    "license": "http://creativecommons.org/licenses/by/4.0/",
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    "submitted_at": "2026-04-24T02:30:46Z",
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