Pith Number

pith:KXTRWL3J

pith:2026:KXTRWL3JLN7V64OWYZ7GSOB3FJ

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Beyond Distribution Estimation: Simplex Anchored Structural Inference Towards Universal Semi-Supervised Learning

Bo Han, Hanyang Li, Jie Yu, Jun Ma, Yaxin Hou, Yuheng Jia

Representation-level structural inference via SAGE enables effective learning in universal semi-supervised settings without distribution estimation.

arxiv:2605.07557 v4 · 2026-05-08 · cs.LG

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Claims

C1strongest claim

By shifting focus to representation-level structural inference via Simplex Anchored Graph-state Equipartition (SAGE), the method captures high-order inter-sample dependencies to establish structural consensus, uses simplex equiangular tight frame vectors for inter-class separation, and achieves consistent outperformance with an average accuracy gain of 8.52% on five benchmarks.

C2weakest assumption

The observation that inter-sample relations captured by representations are more reliable than pseudo-labels holds in the UniSSL setting with scarce labels and arbitrary unlabeled distributions; this premise is invoked to justify bypassing distribution estimation entirely.

C3one line summary

SAGE uses simplex-anchored graph-state equipartition and equiangular tight frames to perform structural inference on representations, bypassing distribution estimation in universal semi-supervised learning and achieving 8.52% average accuracy gains on benchmarks.

References

83 extracted · 83 resolved · 0 Pith anchors

[1] Medical Image Computing and Computer Assisted Intervention (MICCAI) , volume =

[2] Medical Image Computing and Computer Assisted Intervention (MICCAI) , volume =

[3] International Conference on Machine Learning (ICML) , year =

[4] Yue Fan and Dengxin Dai and Anna Kukleva and Bernt Schiele , title =

[5] Proceedings of the AAAI Conference on Artificial Intelligence (AAAI) , volume =

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:41.332049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e71b2f695b7f5f71d6c67e69383b2a5d8cdf8f24eca49c3ff9ffccdb8365cc

Aliases

arxiv: 2605.07557 · arxiv_version: 2605.07557v4 · doi: 10.48550/arxiv.2605.07557 · pith_short_12: KXTRWL3JLN7V · pith_short_16: KXTRWL3JLN7V64OW · pith_short_8: KXTRWL3J

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KXTRWL3JLN7V64OWYZ7GSOB3FJ \
  | 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: 55e71b2f695b7f5f71d6c67e69383b2a5d8cdf8f24eca49c3ff9ffccdb8365cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c8d2632c3ee75aae9adc4d702f7ff11d7373c729060d2466bec24e19cd6dfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-08T10:33:09Z",
    "title_canon_sha256": "30aa677c6006bb2b2b970d657ea13680454707082cd91db194e12af62e91444b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.07557",
    "kind": "arxiv",
    "version": 4
  }
}