CAML: Commutative algebra machine learning -- a case study on protein-ligand binding affinity prediction

Fuente: arXiv
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Main Authors: Feng, Hongsong, Suwayyid, Faisal, Zia, Mushal, Wee, JunJie, Hozumi, Yuta, Chen, Chunlong, Wei, Guo-Wei
Format: Preprint
Published: 2025
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_version_ 1866915259761033216
author Feng, Hongsong
Suwayyid, Faisal
Zia, Mushal
Wee, JunJie
Hozumi, Yuta
Chen, Chunlong
Wei, Guo-Wei
author_facet Feng, Hongsong
Suwayyid, Faisal
Zia, Mushal
Wee, JunJie
Hozumi, Yuta
Chen, Chunlong
Wei, Guo-Wei
contents Recently, Suwayyid and Wei have introduced commutative algebra as an emerging paradigm for machine learning and data science. In this work, we integrate commutative algebra machine learning (CAML) for the prediction of protein-ligand binding affinities. Specifically, we apply persistent Stanley-Reisner theory, a key concept in combinatorial commutative algebra, to the affinity predictions of protein-ligand binding and metalloprotein-ligand binding. We introduce three new algorithms, i.e., element-specific commutative algebra, category-specific commutative algebra, and commutative algebra on bipartite complexes, to address the complexity of data involved in (metallo) protein-ligand complexes. We show that the proposed CAML outperforms other state-of-the-art methods in (metallo) protein-ligand binding affinity predictions.
format Preprint
id arxiv_https___arxiv_org_abs_2504_18646
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle CAML: Commutative algebra machine learning -- a case study on protein-ligand binding affinity prediction
Feng, Hongsong
Suwayyid, Faisal
Zia, Mushal
Wee, JunJie
Hozumi, Yuta
Chen, Chunlong
Wei, Guo-Wei
Biomolecules
Recently, Suwayyid and Wei have introduced commutative algebra as an emerging paradigm for machine learning and data science. In this work, we integrate commutative algebra machine learning (CAML) for the prediction of protein-ligand binding affinities. Specifically, we apply persistent Stanley-Reisner theory, a key concept in combinatorial commutative algebra, to the affinity predictions of protein-ligand binding and metalloprotein-ligand binding. We introduce three new algorithms, i.e., element-specific commutative algebra, category-specific commutative algebra, and commutative algebra on bipartite complexes, to address the complexity of data involved in (metallo) protein-ligand complexes. We show that the proposed CAML outperforms other state-of-the-art methods in (metallo) protein-ligand binding affinity predictions.
title CAML: Commutative algebra machine learning -- a case study on protein-ligand binding affinity prediction
topic Biomolecules
url https://arxiv.org/abs/2504.18646