Pith Number

pith:F4GLMDB7

pith:2026:F4GLMDB7HEYSVLNHHD7ZFV24DH

not attested not anchored not stored refs pending

A Unified Fractional Regularization Framework for Sparse Recovery

Chuanqi Ma, Hao Wang, Haoyu He, Yinhao Zhao

The ℓ1/ℓp^q fractional regularizer has first-order stationary points equivalent to those of the subtractive ℓ1 - α ℓp model and admits a new RIP recovery condition for high-coherence matrices.

arxiv:2604.23184 v2 · 2026-04-25 · cs.IT · cs.LG · math.IT

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\pithnumber{F4GLMDB7HEYSVLNHHD7ZFV24DH}

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4 Citations 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

The first-order stationary points of the ℓ1/ℓp^q formulation are equivalent to those of the subtractive ℓ1 - α ℓp model, and the framework admits a new sufficient recovery condition under the RIP that holds even for high-coherence sensing matrices.

C2weakest assumption

The RIP-based recovery condition and the equivalence both rely on the parameters p and q being chosen in (0,1) and on the sensing matrix satisfying a restricted isometry property whose constants are not quantified in the abstract; the abstract does not state how sensitive the guarantees are to the choice of these parameters.

C3one line summary

A unified ℓ1/ℓp^q fractional regularizer equates to the subtractive ℓ1 - α ℓp model at stationary points, supplies a new RIP-based recovery condition, and is solved by a provably convergent majorization-minimization algorithm.

Receipt and verification

First computed	2026-05-28T01:04:40.711362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0cb60c3f39312aada738ff92d75c19f104f42de15eb4541c13624751aa3beb

Aliases

arxiv: 2604.23184 · arxiv_version: 2604.23184v2 · doi: 10.48550/arxiv.2604.23184 · pith_short_12: F4GLMDB7HEYS · pith_short_16: F4GLMDB7HEYSVLNH · pith_short_8: F4GLMDB7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4GLMDB7HEYSVLNHHD7ZFV24DH \
  | 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: 2f0cb60c3f39312aada738ff92d75c19f104f42de15eb4541c13624751aa3beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fac80aad8636ae627ab935c8720cc0c581d1a504a6aa2f804e90a599b034a88",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-04-25T07:32:39Z",
    "title_canon_sha256": "2a15f0911022720deb4bf8e7ca553c719f9ea901ae6081a1d565b6a944004b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.23184",
    "kind": "arxiv",
    "version": 2
  }
}