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GulFM (version 0.5.0)

General Unilateral Load Estimator for Two-Layer Latent Factor Models

Description

Implements general unilateral loading estimator for two-layer latent factor models with smooth, element-wise factor transformations. We provide data simulation, loading estimation,finite-sample error bounds, and diagnostic tools for zero-mean and sub-Gaussian assumptions. A unified interface is given for evaluating estimation accuracy and cosine similarity. The philosophy of the package is described in Guo G. (2026) .

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Install

install.packages('GulFM')

Monthly Downloads

253

Version

0.5.0

License

MIT + file LICENSE

Maintainer

Guangbao Guo

Last Published

January 8th, 2026

Functions in GulFM (0.5.0)

verify_subgaussian

Verify sub-Gaussian preservation
estimate_gul_loadings

General unilateral load Estimator
g_fun

Smooth link functions compliant with Theorems 9&10
verify_mean

Verify zero-mean preservation (Theorem 10 assumption 2a)
generate_gfm_data

Generate general factor model with smooth latent transformation
g_theorem

Simulation wrapper for Theorems 9 & 10
loading_metrics

Multi-metric evaluation of factor loading matrix estimation error
gul_simulation

Single-replication GUL simulation