Pith Number

pith:TGNT5DH3

pith:2026:TGNT5DH3DWBW2ROPFBRV4J7L5F

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Optimal excitation and measurement patterns for networks with tree topology

Alexandre Sanfelici Bazanella, Eduardo Mapurunga

For networks with tree topology, minimal excitation and measurement patterns selected via the partial information matrix optimize the trace of the asymptotic covariance matrix.

arxiv:2605.12829 v1 · 2026-05-12 · physics.soc-ph · cs.SY · eess.SY

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Claims

C1strongest claim

For networks with tree topology, minimal EMPs can be systematically selected using the partial information matrix concept such that the trace of the asymptotic covariance matrix is optimized, and for cross trees the accuracy of a module depends on the magnitude of its parameters.

C2weakest assumption

The network is exactly a tree (no cycles) and the asymptotic covariance matrix derived from the information matrix accurately reflects finite-sample estimation error under the chosen excitation and measurement patterns.

C3one line summary

Minimal excitation and measurement patterns for tree networks are selected via partial information matrices to optimize estimation accuracy, with module accuracy depending on parameter magnitudes in cross trees.

References

13 extracted · 13 resolved · 0 Pith anchors

[1] Ravazzi, C., and Ye, M. (2020). Dynamical Networks of Social Influence: Modern Trends and Perspectives. IFAC-PapersOnLine, 53(2), 17616–17627 2020

[2] Bazanella, A.S., Gevers, M., and Hendrickx, J.M. (2019). Network identification with partial excitation and mea- surement. In2019 IEEE 58th Conference on Decision and Control (CDC), 5500–5506 2019

[3] (2018).Lectures on Network Systems 2018

[4] Tomlin, C.J. (2016). Reconstruction of Gene Regulatory Networks Based on Repairing Sparse Low-Rank Matrices. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 13(4), 767–777 2016

[5] Gevers, M., Bazanella, A.S., and da Silva, G.V. (2018). A practical method for the consistent identification of a module in a dynamical network.IFAC-PapersOnLine, 51(15), 862–867 2018

Receipt and verification

First computed	2026-05-18T03:09:12.111980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999b3e8cfb1d836d45cf28635e27ebe97f8ac130f31b45ebe5d7d48e3ddfc09e

Aliases

arxiv: 2605.12829 · arxiv_version: 2605.12829v1 · doi: 10.48550/arxiv.2605.12829 · pith_short_12: TGNT5DH3DWBW · pith_short_16: TGNT5DH3DWBW2ROP · pith_short_8: TGNT5DH3

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TGNT5DH3DWBW2ROPFBRV4J7L5F \
  | 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: 999b3e8cfb1d836d45cf28635e27ebe97f8ac130f31b45ebe5d7d48e3ddfc09e

Canonical record JSON

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    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-05-12T23:54:19Z",
    "title_canon_sha256": "864b9c6a702d4fc072cdba35a72e0a671ceeb4c7845ccc474030a3792795f158"
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