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pith:2026:5DSXIWYO6NDEDXU7GWLIP3KMN4
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Attention-Based Sampler for Diffusion Language Models

James Kwok, Kai Syun Hou, Weiyu Chen, Yuyan Zhou

Decoding tokens in descending order of attention matrix column sums approximately maximizes sequence likelihood in diffusion language models.

arxiv:2604.08564 v2 · 2026-03-18 · cs.CL · cs.LG

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Claims

C1strongest claim

We theoretically demonstrate that optimal sequence likelihood can be approximately achieved by decoding tokens in descending order of their attention matrix column sums.

C2weakest assumption

That the attention matrix column sums computed during the diffusion process serve as a reliable proxy for each token's marginal contribution to the joint log-likelihood, without requiring additional fitting or model-specific adjustments.

C3one line summary

Attn-Sampler decodes diffusion language models by selecting tokens in descending order of attention column sums, yielding higher quality and more parallel generation than token-level greedy baselines.

Receipt and verification
First computed 2026-06-04T01:08:49.741875Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e8e5745b0ef34641de9f359687ed4c6f2a0bf00c37e1ae46d8d057ed29df4b92

Aliases

arxiv: 2604.08564 · arxiv_version: 2604.08564v2 · doi: 10.48550/arxiv.2604.08564 · pith_short_12: 5DSXIWYO6NDE · pith_short_16: 5DSXIWYO6NDEDXU7 · pith_short_8: 5DSXIWYO
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Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5DSXIWYO6NDEDXU7GWLIP3KMN4 \
  | 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: e8e5745b0ef34641de9f359687ed4c6f2a0bf00c37e1ae46d8d057ed29df4b92
Canonical record JSON
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    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-03-18T07:49:13Z",
    "title_canon_sha256": "52a3bbb70a5797a703be1ddcb8f10f43fe2e08bf3191798e796d3149e5eb2d9e"
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