Pith Number

pith:WQSSGNYS

pith:2026:WQSSGNYSI6U527HVQUR2OFQM54

not attested not anchored not stored refs pending

Sliced-Regularized Optimal Transport

Khai Nguyen

Sliced-regularized optimal transport approximates exact OT plans more accurately than entropic OT by pulling the plan toward a smoothened sliced OT reference instead of an independent coupling.

arxiv:2604.23944 v3 · 2026-04-27 · stat.ML · cs.LG

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations 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

By incorporating a scalable SOT plan as a prior, SROT yields more accurate approximations of the exact OT plan than EOT under the same level of regularization. Moreover, the resulting transport plan improves upon the reference SOT plan itself.

C2weakest assumption

That regularizing toward a smoothened sliced OT plan produces a better approximation to exact OT than regularizing toward an independent coupling, and that the Sinkhorn-style algorithm reliably computes the desired plan.

C3one line summary

SROT regularizes the OT plan toward a smoothened sliced OT plan, producing more accurate approximations to exact OT than entropic OT while also improving on the sliced OT reference.

Cited by

1 paper in Pith

ASAP: Amortized Doubly-Stochastic Attention via Sliced Dual Projection

Receipt and verification

First computed	2026-05-21T02:05:03.412485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42523371247a9dd7cf58523a7160cef05eb27507ebabb39c5566cab4ea6a811

Aliases

arxiv: 2604.23944 · arxiv_version: 2604.23944v3 · doi: 10.48550/arxiv.2604.23944 · pith_short_12: WQSSGNYSI6U5 · pith_short_16: WQSSGNYSI6U527HV · pith_short_8: WQSSGNYS

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WQSSGNYSI6U527HVQUR2OFQM54 \
  | 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: b42523371247a9dd7cf58523a7160cef05eb27507ebabb39c5566cab4ea6a811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "224c2131e0b315f59b2459d49be6fedcf5c12e3604ffe73c31d8beac2f4a0312",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-04-27T01:36:29Z",
    "title_canon_sha256": "c9e44d87064a904d36ad0f8b2f9aed516a6cf2ac957806c80aa8383ce4afe4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.23944",
    "kind": "arxiv",
    "version": 3
  }
}