Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 23 min ago
PreprintarXiv licencearXiv

GGMNIRA as a Gaussian Graphical Model Extension of the NodeIdentifyR Algorithm for Projected Node Importance

Abstract

The NodeIdentifyR Algorithm (NIRA) has been increasingly applied in psychological network research as a simulated-manipulation approach for comparing the network-level impact associated with different nodes. However, NIRA is restricted to binary variables, and the theoretical interpretation of the manipulated node intercept is primarily grounded in the symptom-activation context of psychopathology. To address these limitations, we extend NIRA to Gaussian graphical model and propose the Gaussian Graphical Model NodeIdentifyR Algorithm (GGMNIRA). GGMNIRA systematically manipulates the conditional mean of each node and uses Kullback--Leibler (KL) divergence to quantify the resulting change in the joint network distribution. Because the conditional mean has a meaningful interpretation for variables across different areas of psychology, GGMNIRA can be applied to a broader range of psychological research contexts. We also developed complementary procedures for evaluating the uncertainty of GGMNIRA results, including a correlation-stability coefficient and a nonparametric bootstrap difference test for KL divergence. In addition, GGMNIRA was extended to bridge Gaussian graphical model, allowing simulated manipulation to be conducted at both the node and construct levels in multi-construct networks. All methods are implemented in the R package "GGMNIRA".

Related

  1. An Adaptive Projected-Gradient Algorithm for Sample-Average Approximations of Stochastic Multi-Objective Optimization
    Yiyang Li, Lei Wang, Xiaojun Chen
    arXivPreprintarXiv licenceFull textOptimisation & controlarXiv
  2. A Stochastic EM Algorithm with Sampling-Importance Resampling for Missing Data in Regression with Nonlinear Predictors
    Dale S. Kim
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
  3. The best approximation tuple: an extension of the Cheney-Goldstein algorithm and results to the multiple sets case
    Yair Censor, Daniel Reem
    arXivPreprintarXiv licenceFull textAnalysis & PDEsOptimisation & controlarXiv
  4. Learning extremal graphical structures in high dimensions
    Sebastian Engelke, Michaël Lalancette, Stanislav Volgushev A
    The Annals of StatisticsPeer-reviewedLicence not statedFull text40 citedStatisticsOpenAlex
  5. A graphical approach to integration and the fundamental theorem
    David O. Tall
    Warwick Research Archive Portal (University of Warwick)Peer-reviewedLicence not statedFull text44 citedGeneral mathematicsOpenAlex
BibTeX
@misc{wu2026ggmnira,
  title = {{GGMNIRA as a Gaussian Graphical Model Extension of the NodeIdentifyR Algorithm for Projected Node Importance}},
  author = {Yiming Wu and Fei Wang and Hongyun Liu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.00915},
  eprint = {2607.00915},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.00915},
}
RIS
TY  - UNPB
TI  - GGMNIRA as a Gaussian Graphical Model Extension of the NodeIdentifyR Algorithm for Projected Node Importance
AU  - Yiming Wu
AU  - Fei Wang
AU  - Hongyun Liu
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2607.00915
UR  - https://arxiv.org/abs/2607.00915
AB  - The NodeIdentifyR Algorithm (NIRA) has been increasingly applied in psychological network research as a simulated-manipulation approach for comparing the network-level impact associated with different nodes. However, NIRA is restricted to binary variables, and the theoretical interpretation of the manipulated node intercept is primarily grounded in the symptom-activation context of psychopathology. To address these limitations, we extend NIRA to Gaussian graphical model and propose the Gaussian Graphical Model NodeIdentifyR Algorithm (GGMNIRA). GGMNIRA systematically manipulates the conditional mean of each node and uses Kullback--Leibler (KL) divergence to quantify the resulting change in the joint network distribution. Because the conditional mean has a meaningful interpretation for variables across different areas of psychology, GGMNIRA can be applied to a broader range of psychological research contexts. We also developed complementary procedures for evaluating the uncertainty of GGMNIRA results, including a correlation-stability coefficient and a nonparametric bootstrap difference test for KL divergence. In addition, GGMNIRA was extended to bridge Gaussian graphical model, allowing simulated manipulation to be conducted at both the node and construct levels in multi-construct networks. All methods are implemented in the R package "GGMNIRA".
ER  -