Pith Number

pith:L7OVMBI4

pith:2026:L7OVMBI4IVZVIGJTN35IUD6ZTZ

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Learning to Emulate Chaos: Adversarial Optimal Transport Regularization

Gabriel Melo, Leonardo Santiago, Peter Y. Lu

Adversarial optimal transport regularization trains neural emulators to match chaotic attractor statistics.

arxiv:2604.21097 v2 · 2026-04-22 · stat.ML · cs.LG

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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

Our experiments across a variety of chaotic systems, including systems with high-dimensional chaotic attractors, show that emulators trained with our approach exhibit significantly improved long-term statistical fidelity.

C2weakest assumption

That adversarial optimal transport regularization produces physically consistent emulators without introducing artifacts, instabilities, or distribution mismatches that affect downstream use.

C3one line summary

Adversarial optimal transport objectives train neural emulators with improved long-term statistical fidelity on chaotic systems.

Cited by

1 paper in Pith

Data-Adaptive Learning of Dynamical Systems by Matching Transfer Operators and Invariant Measures

Receipt and verification

First computed	2026-06-19T16:12:54.428507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fdd56051c45735419336efa8a0fd99e5b01019c9ca2ae779f14ee14c2b16e9f

Aliases

arxiv: 2604.21097 · arxiv_version: 2604.21097v2 · doi: 10.48550/arxiv.2604.21097 · pith_short_12: L7OVMBI4IVZV · pith_short_16: L7OVMBI4IVZVIGJT · pith_short_8: L7OVMBI4

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L7OVMBI4IVZVIGJTN35IUD6ZTZ \
  | 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: 5fdd56051c45735419336efa8a0fd99e5b01019c9ca2ae779f14ee14c2b16e9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d9dbd14b83cf37dfa0ed9462d63ca069935c8c9eac081781553108ff8227e6",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-04-22T21:34:06Z",
    "title_canon_sha256": "bfa6e7e595904e8222eaa7854be93274a8fcb0d0151f80effd5bab716e0ed62d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.21097",
    "kind": "arxiv",
    "version": 2
  }
}