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Found 3 papers, 1 papers with code
Probing omics data via harmonic persistent homology
Identifying molecular signatures from complex disease patients with underlying symptomatic similarities is a significant challenge in the analysis of high dimensional multi-omics data.
Inferring COVID-19 Biological Pathways from Clinical Phenotypes via Topological Analysis
In this article, we propose a pipeline to aid practitioners in analyzing clinical notes and revealing the pathways associated with this disease.
Quantitative Curve Selection Lemma
Denoting by $s, d, k$ a bound on the number, the degree and the number of variables of the polynomials describing a semi-algebraic set $S$ and a point $x$ in $\bar S$, we find a semi-algebraic path starting at $x$ and entering in $S$ with a description of degree $(O(d)^{3k+3}, O(d)^{k})$ (using a precise definition of the description of a semi-algebraic path and its degree given in the paper).
Algebraic Geometry 14P25
