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pith:FEY4PBGA

pith:2026:FEY4PBGAEZTFI3BWKE3HXWFFVN

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SERE: A Stabilized Element-Wise Method for Downlink Rate Estimation in Clustered Cell-Free Networks

Han Hao, Hao Wu, Junyuan Wang, Panpan Niu

A stabilized element-wise method derives deterministic equivalents for downlink rates in clustered cell-free networks by proving diagonal convergence of resolvent matrices.

arxiv:2605.17297 v1 · 2026-05-17 · cs.IT · math.IT

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Claims

C1strongest claim

We propose a stabilized element-wise rate estimation method for downlink rate estimation in clustered cell-free networks. We establish the diagonal element-wise convergence of resolvent matrices, which enables the derivation of deterministic equivalents for inter-subnetwork interference and the downlink ergodic rate. Simulation results show that the proposed method achieves a relative error below 6% while significantly reducing computational complexity compared with the Monte Carlo simulation.

C2weakest assumption

The diagonal element-wise convergence of resolvent matrices holds for the system model of clustered cell-free networks, allowing deterministic equivalents to be derived for inter-subnetwork interference and ergodic rate under both RZF and ZF precoding.

C3one line summary

Introduces a stabilized element-wise rate estimation method deriving deterministic equivalents for downlink ergodic rates in clustered cell-free networks, with relative error below 6%.

References

17 extracted · 17 resolved · 0 Pith anchors

[1] Multi-cell MIMO cooperative networks: A new look at interference, 2010

[2] Rate-constrained network decomposition for clustered cell-free networking, 2022

[3] Clustered cell-free networking: A graph partitioning approach, 2023

[4] Energy-efficient clustered cell- free networking with access point selection, 2024

[5] M. H. Kalos and P. A. Whitlock,Monte Carlo methods. John Wiley & Sons, 2009 2009

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-20T00:03:50.852592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2931c784c02666546c3651367bd8a5ab6a151816cd3c06392d758f953adfa5ef

Aliases

arxiv: 2605.17297 · arxiv_version: 2605.17297v1 · doi: 10.48550/arxiv.2605.17297 · pith_short_12: FEY4PBGAEZTF · pith_short_16: FEY4PBGAEZTFI3BW · pith_short_8: FEY4PBGA

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FEY4PBGAEZTFI3BWKE3HXWFFVN \
  | 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: 2931c784c02666546c3651367bd8a5ab6a151816cd3c06392d758f953adfa5ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8cf768672c13816d4c5a5d49ae17c15fbd6ae32814588210662844fbb0498cf",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-17T07:19:44Z",
    "title_canon_sha256": "dd03daf30f51479af2656c372eac2852ab14bfe49d75328aa62cbf7c349d3595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17297",
    "kind": "arxiv",
    "version": 1
  }
}