2 citations · 3 across the 9 of their papers we have counts for
10 papers
CANN: Commutative Algebra Neural Networks for Virus Classification
Mushal Zia, Faisal Suwayyid, Guo-Wei Wei
The extensive diversity of viral genomes challenges alignment-free representations to capture both nucleotide composition and the higher-order organization of recurring sequence pa…
Localized Persistent Commutative Algebra
Kaiyue He, Faisal Suwayyid, Guo-Wei Wei
We develop a localized persistent theory of commutative algebra for Stanley-Reisner rings, based on local cohomology supported at a coordinate prime rather than at the maximal idea…
Persistent commutative algebra on graphs and hypergraphs
Faisal Suwayyid, Guo-Wei Wei
We introduce a persistent commutative algebra for studying the algebraic and combinatorial evolution of edge ideals of graphs and hypergraphs under filtration. Building on the Pers…
GBNL: Graded Betti Number Learning of Complex Biological Data
Mushal Zia, Faisal Suwayyid, Guo-Wei Wei
While persistent homology is widely used for data shape analysis, persistent commutative algebra (PCA) has seen limited adoption in machine learning and data science. Unlike persis…
CAP: Commutative Algebra Prediction of Protein-Nucleic Acid Binding Affinities
Mushal Zia, Faisal Suwayyid, Yuta Hozumi +3
An accurate prediction of protein-nucleic acid binding affinity is vital for deciphering genomic processes, yet existing approaches often struggle in reconciling high accuracy with…
Commutative algebra neural network reveals genetic origins of diseases
JunJie Wee, Faisal Suwayyid, Mushal Zia +3
Genetic mutations can disrupt protein structure, stability, and solubility, contributing to a wide range of diseases. Existing predictive models often lack interpretability and fai…
CAKR: Commutative algebra k-mer representations for genomics
Faisal Suwayyid, Yuta Hozumi, Mushal Zia +3
Despite the availability of various sequence analysis models, comparative genomic analysis remains a challenge in genomics, genetics, and phylogenetics. Commutative algebra, a fund…
CAML: Commutative algebra machine learning -- a case study on protein-ligand binding affinity prediction
Hongsong Feng, Faisal Suwayyid, Mushal Zia +4
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…
Persistent Stanley--Reisner Theory
Faisal Suwayyid, Guo-Wei Wei
Topological data analysis (TDA) has emerged as an effective approach in data science, with its key technique, persistent homology, rooted in algebraic topology. Although alternativ…
Persistent Dirac of Path and Hypergraph
Faisal Suwayyid, Guo-Wei Wei
This work introduces the development of path Dirac and hypergraph Dirac operators, along with an exploration of their persistence. These operators excel in distinguishing between h…