Pith Number

pith:UO6DAYQL

pith:2025:UO6DAYQLDCW3VOCGLNR44ZKTLO

not attested not anchored not stored refs pending

Accelerated Decentralized Constraint-Coupled Optimization: A Dual$^2$ Approach

Jingwang Li, Vincent Lau

A dual squared approach produces two accelerated algorithms for decentralized optimization with shared constraints that converge under milder conditions on the public cost function.

arxiv:2505.03719 v5 · 2025-05-06 · math.OC · cs.SY · eess.SY

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\usepackage{pith}
\pithnumber{UO6DAYQLDCW3VOCGLNR44ZKTLO}

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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

✓ Portable graph bundle live · download bundle · merged state

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

Both iD2A and MiD2A guarantee asymptotic convergence under a milder condition on h compared to existing algorithms; under additional assumptions they establish linear convergence rates and significantly lower communication and computational complexity bounds.

C2weakest assumption

The network is undirected and connected, which is required for the information to propagate sufficiently for the dual updates to coordinate the shared constraint across all agents (stated in the problem formulation).

C3one line summary

The Dual² approach produces iD2A and MiD2A gradient methods that achieve asymptotic convergence under milder conditions on the public function and linear rates with reduced communication and computation complexity.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-25T01:18:34.824689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3bc30620b18adbab8465b63ce65535b9adca0f5d50fb200a05f2a616e6a83c5

Aliases

arxiv: 2505.03719 · arxiv_version: 2505.03719v5 · doi: 10.48550/arxiv.2505.03719 · pith_short_12: UO6DAYQLDCW3 · pith_short_16: UO6DAYQLDCW3VOCG · pith_short_8: UO6DAYQL

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/UO6DAYQLDCW3VOCGLNR44ZKTLO \
  | 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: a3bc30620b18adbab8465b63ce65535b9adca0f5d50fb200a05f2a616e6a83c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad3adfe9a2dc3eacfb85b631cd3b8f70f7e8d7c4c3cf7365656078cdb9d111b",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-06T17:46:49Z",
    "title_canon_sha256": "fb8f01bf781dc79d200bce52eb3a1b438835c42e779fc3008f68f1f502b0f145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.03719",
    "kind": "arxiv",
    "version": 5
  }
}