Author

Marek Gałązka

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Preprint Sep 2026

Total Path Length in Power-Weight Recursive Trees: Martingale Limits and Global Fluctuations

We study total path length in recursive trees with positive deterministic attachment weights. Writing $W_n=\sum_{i=1}^n w_i$ and $p_n=w_n/W_n$, we obtain exact martingale-innovation identities and a variance recurrence. Under the condition $p_n=O(n^{-1})$, centered total path length divided by $n$ converges almost sure...

Marek Gałązka, H. Wdowicka · 0 citations

Aug 2026

Performance Evaluation of In-Database Statistical Methods Using SAP HANA Predictive Analysis Library

The increasing demand for real-time analytics has driven the development of in-database analytical frameworks that integrate statistical processing directly into database systems. SAP HANA Predictive Analysis Library (PAL) represents a prominent implementation of this paradigm. However, there is limited empirical evide...

Marek Gałązka, H. Wdowicka · Communications of Internatio... · 0 citations

#machine learning Preprint Sep 2026

Robust and Learned Online Matching in Growing Trees

We study irrevocable maximum-cardinality matching in trees revealed by successive leaf attachments, with a known horizon and an exogenous growth law that is misspecified or unknown. For deterministic affine attachment forecasts with nonnegative degree reinforcement, the optimal threshold policy loses at most twice the...

Marek Gałązka, H. Wdowicka · 0 citations