q-bio.QM · 2026-06-06 · No. 15
Quantitative Methods, 2026-06-06.
1 new papers in q-bio.QM. Titles, authors,
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01 — The papers
1 entries-
01
$p$-adic Bi-Filtrations for Topological Machine Learning on Genomic Sequences
Tirtharaj Dash, Gunja Sachdeva
q-bio.QM · cs.LG · math.AT · q-bio.GN
We introduce pVR, a topological machine learning framework for alignment-free genomic sequence classification that combines $p$-adic numbers with topological data analysis. Each DNA sequence is encoded along two complementary axes: a $p$-adic distance on $k$-mer prefixes, which captures hierarchical positional structure, and a compositional $L_1$ distance on $k$-mer frequencies, which captures local sequence content. The two distances jointly...
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