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Pith Number

pith:NLVIECDO

pith:2026:NLVIECDOXB5FZVOD2FTYZJ6XYS
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Skipping the Zeros in Diffusion Models for Sparse Data Generation

Andriy Balinskyy, Carl Herrmann, Gabriel Vicente Rodrigues, Jean Radig, Marius Kloft, Mayank Nagda, Phil Sidney Ostheimer, Sophie Fellenz, Stephan Mandt

Diffusion models can generate sparse data by modeling only non-zero values while handling zero locations separately.

arxiv:2605.01817 v2 · 2026-05-03 · cs.LG

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\pithnumber{NLVIECDOXB5FZVOD2FTYZJ6XYS}

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Record completeness

1 Bitcoin timestamp
2 Internet Archive
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

With Sparsity-Exploiting Diffusion (SED), we model only non-zero values, preserving sparsity. SED delivers computational savings while maintaining or improving generation quality by skipping zeros during training and inference.

C2weakest assumption

That the sparsity pattern (locations of zeros) is independent of the non-zero values and can be handled separately without losing critical distributional information about the data.

C3one line summary

SED modifies diffusion models to generate only non-zero values in sparse data, preserving sparsity patterns, cutting computation, and matching or beating standard DM performance on benchmarks.

Receipt and verification
First computed 2026-05-27T01:05:55.829130Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6aea82086eb87a5cd5c3d1678ca7d7c49326c83e674f0b749b7a0713df93aec5

Aliases

arxiv: 2605.01817 · arxiv_version: 2605.01817v2 · doi: 10.48550/arxiv.2605.01817 · pith_short_12: NLVIECDOXB5F · pith_short_16: NLVIECDOXB5FZVOD · pith_short_8: NLVIECDO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NLVIECDOXB5FZVOD2FTYZJ6XYS \
  | 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: 6aea82086eb87a5cd5c3d1678ca7d7c49326c83e674f0b749b7a0713df93aec5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a8d46a7d4c95a6441c9ed13d0970d4453b79cc421f31eff3f953af06934ee603",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-03T10:51:25Z",
    "title_canon_sha256": "1dd872630ceb03138578a41ab6e53156a7d63d0b85f58bce000883750c5ff7a2"
  },
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  "source": {
    "id": "2605.01817",
    "kind": "arxiv",
    "version": 2
  }
}