4 citations · 4 across the 7 of their papers we have counts for
7 papers
Nondimensionalization is more science than art
Richard Tanburn, Danny Hendron, Philip Maini +3
When faced with a mathematical model, often the first step is to reduce the complexity of the model by turning variables and parameters into dimensionless quantities. This process…
A topological approach to the Cahn-Hilliard equation and hyperuniform fields
Abel H. G. Milor, Otto Sumray, Heather A. Harrington +2
Hyperuniform structures are disordered, correlated systems in which density fluctuations are suppressed at large scales. Such a property generalizes the concept of order in pattern…
Discrete signature tensors for persistence landscapes
Vincenzo Galgano, Heather A. Harrington, Daniel Tolosa
Signature tensors of paths are a versatile tool for mathematical data analysis. Recently, they have been applied in the context of vectorisation of persistent homology: after a cho…
Geometry of rational quasi-independence models as toric fiber products
Jane Ivy Coons, Heather A. Harrington, Niharika Chakrabarty Paul
We investigate the geometry of a family of log-linear statistical models called quasi-independence models. The toric fiber product is useful for understanding the geometry of param…
Quiver Laplacians and Feature Selection
Otto Sumray, Heather A. Harrington, Vidit Nanda
The challenge of selecting the most relevant features of a given dataset arises ubiquitously in data analysis and dimensionality reduction. However, features found to be of high im…
Absolute concentration robustness: Algebra and geometry
Luis David García Puente, Elizabeth Gross, Heather A Harrington +4
Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robu…
Topological fingerprints for audio identification
Wojciech Reise, Ximena Fernández, Maria Dominguez +2
We present a topological audio fingerprinting approach for robustly identifying duplicate audio tracks. Our method applies persistent homology on local spectral decompositions of a…