Pith Number

pith:NCWDAHP6

pith:2026:NCWDAHP62XGEZ3RH4F5ZQGX4NP

not attested not anchored not stored refs pending

Uncertainty Estimation via Hyperspherical Confidence Mapping

Eunseo Choi, Heejin Ahn, Ho-Yeon Kim, Jaewon Lee, Myungjun lee, Taeyong jo

Hyperspherical Confidence Mapping captures uncertainty as the violation of a unit hypersphere constraint on network outputs.

arxiv:2605.05964 v2 · 2026-05-07 · cs.LG

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\usepackage{pith}
\pithnumber{NCWDAHP62XGEZ3RH4F5ZQGX4NP}

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Record completeness

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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

Experiments across diverse benchmarks and real-world industrial tasks demonstrate that HCM matches or surpasses ensemble and evidential approaches, with far lower inference cost and stronger confidence-error alignment.

C2weakest assumption

That uncertainty can be reliably captured by the degree of violation of the unit-hypersphere constraint on the normalized direction vector, without needing distributional assumptions or sampling.

C3one line summary

HCM turns neural outputs into magnitude plus unit hypersphere vector and treats uncertainty as the geometric violation of that unit constraint, yielding deterministic estimates for regression and classification that match ensembles at lower cost.

Receipt and verification

First computed	2026-05-29T01:05:11.941033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ac301dfed5cc4cee27e17b981afc6bf4120e1d57d067f311b2f3331762c9af

Aliases

arxiv: 2605.05964 · arxiv_version: 2605.05964v2 · doi: 10.48550/arxiv.2605.05964 · pith_short_12: NCWDAHP62XGE · pith_short_16: NCWDAHP62XGEZ3RH · pith_short_8: NCWDAHP6

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/NCWDAHP62XGEZ3RH4F5ZQGX4NP \
  | 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: 68ac301dfed5cc4cee27e17b981afc6bf4120e1d57d067f311b2f3331762c9af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84dd3ba8d7143e21bc00f2ad419cc5f4f8d6f9d5574cf60e8a69f0482c7facf8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-07T10:11:01Z",
    "title_canon_sha256": "f2b0bd49892481c801702bb89aee8cc7801097957c1790e0ed1698cc9b3c6a66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05964",
    "kind": "arxiv",
    "version": 2
  }
}