Roff, Emily
- The small-scale limit of magnitude and the one-point property
2023/12/22 by Emily Roff, Masahiko Yoshinaga, Roff, Emily +1 · 2 citations
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms
- The maximum entropy of a metric space
2019/08/29 by Leinster, Tom, Roff, Emily · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Metric Geometry (math.MG) #Probability (math.PR)
- Iterated magnitude homology
2023/09/01 by Emily Roff, Roff, Emily · 1 citation
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Topological and Geometric Data Analysis
- Bigraded path homology and the magnitude-path spectral sequence
2024/04/10 by Richard Hepworth, Emily Roff, Hepworth, Richard +1 · 1 citation
Computer Science · Mathematics · Medicine · #05C25 (Primary) #05C31 #05C38 #18G35 #18G90 #55U35 (Secondary) #Algebraic Topology (math.AT) #Category Theory (math.CT) #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Leprosy Research and Treatment #Topological and Geometric Data Analysis
- Is magnitude 'generically continuous' for finite metric spaces?
2025/01/15 by Katsumasa, Hirokazu, Roff, Emily, Yoshinaga, Masahiko · 1 citation
#05C12 #51F99 #54C08 #54E35 #55N31 #62R40 #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #General Topology (math.GN) #Machine Learning (stat.ML) #Metric Geometry (math.MG)