Pith Number

pith:DE7VXBWM

pith:2026:DE7VXBWMP66PMFARWK3OCZAKZC

not attested not anchored not stored refs pending

Closing the Gap on the Sample Complexity of 1-Identification

Wang Chi Cheung, Zitian Li

Matching lower and upper bounds close the sample complexity gap for 1-identification in bandits

arxiv:2601.15620 v2 · 2026-01-22 · cs.LG

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\usepackage{pith}
\pithnumber{DE7VXBWMP66PMFARWK3OCZAKZC}

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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

for instances with at least one qualified arm, we derive a new lower bound on E[τ] via a novel optimization formulation... upper bounds that match the lower bounds up to polynomial logarithmic factors uniformly over all instances.

C2weakest assumption

The novel optimization formulation accurately captures the information-theoretic complexity of 1-identification, and standard concentration assumptions on rewards (e.g., sub-Gaussian) suffice for the upper-bound analysis to hold uniformly.

C3one line summary

New lower bound via optimization and matching upper bounds close the sample complexity gap for 1-identification in bandits with at least one qualified arm.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Pure Exploration for a Good Policy in Reinforcement Learning with Bandit Feedback

Receipt and verification

First computed	2026-05-17T23:39:16.606992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193f5b86cc7fbcf61411b2b6e1640ac8a6d3567255a2046430d3bd5e5b216246

Aliases

arxiv: 2601.15620 · arxiv_version: 2601.15620v2 · doi: 10.48550/arxiv.2601.15620 · pith_short_12: DE7VXBWMP66P · pith_short_16: DE7VXBWMP66PMFAR · pith_short_8: DE7VXBWM

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/DE7VXBWMP66PMFARWK3OCZAKZC \
  | 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: 193f5b86cc7fbcf61411b2b6e1640ac8a6d3567255a2046430d3bd5e5b216246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f75777d379bf95ff5cc317055d7575dd4095591d55a9dc488bd26df1ca3e2e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-22T03:50:31Z",
    "title_canon_sha256": "5aa1a22329b8e12cd043a6a0f5cca1bc0f89df06a5ad3b1efde8fa23d4ab7e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.15620",
    "kind": "arxiv",
    "version": 2
  }
}