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B. Yüzbaşı

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Preprint Oct 2026

The Lambert Penalty: Logarithmic Shrinkage for Sparse Regression

Sparse regression must balance prediction accuracy with reproducible variable selection. We introduce the Lambert penalty by limiting how quickly the retained fraction of a scalar score increases after variable entry. Maximizing retention under this scale-equivariant constraint yields a logarithmic transition from exac...

B. Yüzbaşı · 0 citations
Preprint Sep 2026

Lorentz Hyperbolic Weighted Regression: Theory for Fixed and Estimated Representations

Many applications provide each observation with a meaningful representation in addition to an ordinary response and covariates. When that representation is hierarchical, hub-periphery structured, or network derived, Euclidean or geographic proximity may define the wrong peer groups. We present Lorentz hyperbolic weight...

B. Yüzbaşı, Zühal Küçükarslan Yüzbaşı · 0 citations
Preprint Sep 2026

Max-Test-Calibrated Stein Shrinkage with Honest Submodel Selection in Ultra-High-Dimensional Regression

Classical preliminary-test and Stein-type estimators interpolate between restricted and full regression fits, but OLS and chi-squared calibration fail when $p\gg n$ and the restriction is data-adaptive. We propose an honest sample-separated framework built around a common selected-null law. Independent selection data e...

B. Yüzbaşı · 0 citations

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