Pith Number

pith:ZKSWBLSL

pith:2025:ZKSWBLSL4QKXU2DAWX2O2UTMMD

not attested not anchored not stored refs pending

Frank-Wolfe Algorithms for (L0, L1)-smooth functions

A.A. Vyguzov, F.S. Stonyakin

A new Frank-Wolfe algorithm for (L0, L1)-smooth objectives achieves superior convergence rates.

arxiv:2510.16468 v4 · 2025-10-18 · math.OC

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\usepackage{pith}
\pithnumber{ZKSWBLSL4QKXU2DAWX2O2UTMMD}

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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

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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 establish that this algorithm achieves superior theoretical convergence rates compared to the classical Frank-Wolfe method.

C2weakest assumption

The objective functions satisfy the (L0, L1)-smoothness condition that the new algorithm is designed to exploit for its improved rates (as stated in the abstract).

C3one line summary

A new (L0, L1)-Frank-Wolfe algorithm and its adaptive version are proposed for (L0, L1)-smooth optimization, with claims of better theoretical convergence rates and practical advantages over standard Frank-Wolfe methods.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-21T01:05:11.071362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa560ae4be4157a6860b5f4ed526c60fa3dc69e9f8a60d2e22e82b19fb8ab6e

Aliases

arxiv: 2510.16468 · arxiv_version: 2510.16468v4 · doi: 10.48550/arxiv.2510.16468 · pith_short_12: ZKSWBLSL4QKX · pith_short_16: ZKSWBLSL4QKXU2DA · pith_short_8: ZKSWBLSL

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/ZKSWBLSL4QKXU2DAWX2O2UTMMD \
  | 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: caa560ae4be4157a6860b5f4ed526c60fa3dc69e9f8a60d2e22e82b19fb8ab6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68e4402496ee81ed2d3e59ae8b673502998b2970a0b4e6a88a6fefaa6c53a889",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-10-18T12:26:28Z",
    "title_canon_sha256": "324819c9c870dcb17eba9ffc5dff056b33cbf1e04dac2eaeb1520025e6c1a4b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.16468",
    "kind": "arxiv",
    "version": 4
  }
}