Pith Number

pith:BEFQERO5

pith:2025:BEFQERO5LHCFQBA2YFUJCYKAMS

not attested not anchored not stored refs pending

DiVeQ: Differentiable Vector Quantization Using the Reparameterization Trick

Arno Solin, Mohammad Hassan Vali, Tom B\"ackstr\"om

DiVeQ makes vector quantization differentiable by reparameterizing it as an additive error vector.

arxiv:2509.26469 v4 · 2025-09-30 · cs.LG

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\pithnumber{BEFQERO5LHCFQBA2YFUJCYKAMS}

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Record completeness

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2 Internet Archive

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

In VQ-VAE image compression, VQGAN image generation, and DAC speech coding tasks across various data sets, our proposed methods improve reconstruction and sample quality over alternative quantization approaches.

C2weakest assumption

That modeling quantization distortion as an additive error vector (and the space-filling curve assignment) produces gradients that are both stable and unbiased enough to replace auxiliary losses and temperature schedules without degrading the hard forward-pass behavior.

C3one line summary

DiVeQ and SF-DiVeQ make vector quantization differentiable through error-vector reparameterization and space-filling curves, yielding better reconstruction in VQ-VAE, VQGAN, and DAC tasks.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-27T01:05:38.245132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090b0245dd59c458041ac16891614064a3e0d21d3464e2e844ffd25787c17f0b

Aliases

arxiv: 2509.26469 · arxiv_version: 2509.26469v4 · doi: 10.48550/arxiv.2509.26469 · pith_short_12: BEFQERO5LHCF · pith_short_16: BEFQERO5LHCFQBA2 · pith_short_8: BEFQERO5

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BEFQERO5LHCFQBA2YFUJCYKAMS \
  | 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: 090b0245dd59c458041ac16891614064a3e0d21d3464e2e844ffd25787c17f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a69dbb823b02c186d7d5d111ff4d7260b7e85b049a205c70c05bac37fdfd7a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-30T16:17:21Z",
    "title_canon_sha256": "5bc33420f94caab4993bbc8ef26ed4c8e36eec909e4e4de5786e73294215c2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.26469",
    "kind": "arxiv",
    "version": 4
  }
}