1 citations · 2 across the 4 of their papers we have counts for
6 papers
Concurrence Topology of Some Cancer Genomics Data
Steven P. Ellis
The topological data analysis method "concurrence topology" is applied to mutation frequencies in 69 genes in glioblastoma data. In dimension 1 some apparent "mutual exclusivity" i…
Joining and Independence in Concurrence Topology
Steven P. Ellis
"Concurrence topology" (Ellis and Klein \emph{Homology, Homotopy, and Applications,} \textbf{16}) is a TDA method for binary data. The idea is to construct a filtration consisting…
Singularity of Data Analytic Operations
Steven P. Ellis
Statistical data by their very nature are indeterminate in the sense that if one repeats the process of collecting the data the new data set will be different from the original. Bu…
Describing High-Order Statistical Dependence Using "Concurrence Topology", with Application to Functional MRI Brain Data
Steven P. Ellis, Arno Klein
For multivariate data, dependence beyond pair-wise can be important. This is true, for example, in using functional MRI (fMRI) data to investigate brain functional connectivity. Wh…
On the Approximation of a Function Continuous off a Closed Set by One Continuous Off a Polyhedron
Steven P. Ellis
Let be a finite simplicial comple with underlying space (union of simplices in ) . Let be a subcomplex of . Let . Then there exists , \emph…
An Algorithm for Unconstrained Quadratically Penalized Convex Optimization
Steven P. Ellis
A descent algorithm, "Quasi-Quadratic Minimization with Memory" (QQMM), is proposed for unconstrained minimization of the sum, , of a non-negative convex function, , and a qu…