Pith Number

pith:Y25SPYVC

pith:2026:Y25SPYVCBA7NQO4C5SFEPKBF5E

not attested not anchored not stored refs resolved

Di-BiLPS: Denoising induced Bidirectional Latent-PDE-Solver under Sparse Observations

Chaoyu Liu, Qian Zhang, Zhonghao Li

Di-BiLPS solves both forward and inverse PDE problems from as little as 3 percent sparse observations by operating entirely in a compressed latent space.

arxiv:2605.13790 v1 · 2026-05-13 · cs.LG · cs.AI

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\pithnumber{Y25SPYVCBA7NQO4C5SFEPKBF5E}

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4 Citations open

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Claims

C1strongest claim

Di-BiLPS consistently achieves SOTA performance under extremely sparse inputs (as low as 3%), while substantially reducing computational cost. Moreover, Di-BiLPS enables zero-shot super-resolution, as it allows predictions over continuous spatial-temporal domains.

C2weakest assumption

That the PDE-informed denoising algorithm operating in the learned latent space accurately recovers the underlying physics without introducing artifacts or bias when observations drop to 3% or lower.

C3one line summary

Di-BiLPS combines a variational autoencoder, latent diffusion, and contrastive learning to achieve state-of-the-art accuracy on PDE problems with as little as 3% observations while supporting zero-shot super-resolution and lower computational cost.

References

21 extracted · 21 resolved · 7 Pith anchors

[1] World Simulation with Video Foundation Models for Physical AI · arXiv:2511.00062

[2] Universal physics Transformers

[3] F., Stuart, A., Mahoney, M 2025

[4] Diffusion Posterior Sampling for General Noisy Inverse Problems · arXiv:2209.14687

[5] An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale 2010 · arXiv:2010.11929

Receipt and verification

First computed	2026-05-18T02:44:15.627127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6bb27e2a2083ed83b82ec8a47a825e935c6096b7345bb81737dc4c2bbf0218f

Aliases

arxiv: 2605.13790 · arxiv_version: 2605.13790v1 · doi: 10.48550/arxiv.2605.13790 · pith_short_12: Y25SPYVCBA7N · pith_short_16: Y25SPYVCBA7NQO4C · pith_short_8: Y25SPYVC

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y25SPYVCBA7NQO4C5SFEPKBF5E \
  | 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: c6bb27e2a2083ed83b82ec8a47a825e935c6096b7345bb81737dc4c2bbf0218f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25567fccfddb85009f9f975376adc3c0f6b6fc681e5598cf2faf8742498237cc",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-13T17:11:07Z",
    "title_canon_sha256": "4347236433d53a8365c7fbd3b4f737d804f229daae4dc15b148a6339e8e8c1df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13790",
    "kind": "arxiv",
    "version": 1
  }
}