Pith Number

pith:PCX6UQLI

pith:2026:PCX6UQLIDNFQXMQ5YHV7CPYQKV

not attested not anchored not stored refs pending

SF-Flow: Sound field magnitude estimation via flow matching guided by sparse measurements

Ege Erdem, Orchisama Das, Shoichi Koyama, Tomohiko Nakamura, Zoran Cvetkovi\'c

Flow matching reconstructs 3D sound field magnitudes from sparse microphone measurements up to 1 kHz.

arxiv:2605.10398 v2 · 2026-05-11 · eess.AS

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications 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

We propose a novel framework for 3D ATF magnitude reconstruction as a guided generation task, with a 3D U-Net conditioned by a permutation-invariant set encoder. ... Experimental results demonstrate that SF-Flow achieves accurate reconstruction up to 1 kHz, trains substantially faster than the autoencoder baseline, and improves significantly with dataset size.

C2weakest assumption

That the flow matching process guided by the permutation-invariant set encoder on a 3D U-Net can reliably recover the underlying acoustic properties from sparse measurements without introducing artifacts or failing at higher frequencies or complex geometries.

C3one line summary

SF-Flow applies flow matching with a permutation-invariant set encoder and 3D U-Net to reconstruct ATF magnitudes from sparse inputs, showing accurate results up to 1 kHz with faster training than autoencoder baselines.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

SF-Flow: Sound field magnitude estimation via flow matching guided by sparse measurements

Receipt and verification

First computed	2026-08-17T01:13:05.202109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78afea41681b4b0bb21dc1ebf13f10556989b2dbea950030d9fc6d0e8b6e3698

Aliases

arxiv: 2605.10398 · arxiv_version: 2605.10398v2 · doi: 10.48550/arxiv.2605.10398 · pith_short_12: PCX6UQLIDNFQ · pith_short_16: PCX6UQLIDNFQXMQ5 · pith_short_8: PCX6UQLI

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PCX6UQLIDNFQXMQ5YHV7CPYQKV \
  | 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: 78afea41681b4b0bb21dc1ebf13f10556989b2dbea950030d9fc6d0e8b6e3698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "242e6512b9c3ec9cfa5350055e78b5d3de89e33670ab325cf8bb605340a72b31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.AS",
    "submitted_at": "2026-05-11T11:40:57Z",
    "title_canon_sha256": "46756d0316577026ae69ba61bb0a283d1d925677465fa1871c04da56db2b97ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10398",
    "kind": "arxiv",
    "version": 2
  }
}