37 citations · 98 across the 9 of their papers we have counts for
9 papers
The Impact of Changes in Resolution on the Persistent Homology of Images
Teresa Heiss, Sarah Tymochko, Brittany Story +4
Digital images enable quantitative analysis of material properties at micro and macro length scales, but choosing an appropriate resolution when acquiring the image is challenging.…
A Topological Approach for Motion Track Discrimination
Tegan Emerson, Sarah Tymochko, George Stantchev +3
Detecting small targets at range is difficult because there is not enough spatial information present in an image sub-region containing the target to use correlation-based methods…
Argumentative Topology: Finding Loop(holes) in Logic
Sarah Tymochko, Zachary New, Lucius Bynum +4
Advances in natural language processing have resulted in increased capabilities with respect to multiple tasks. One of the possible causes of the observed performance gains is the…
Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh
Bifurcations in dynamical systems characterize qualitative changes in the system behavior. Therefore, their detection is important because they can signal the transition from norma…
Classifying sleep states using persistent homology and Markov chain: a Pilot Study
Sarah Tymochko, Kritika Singhal, Giseon Heo
Obstructive sleep Apnea (OSA) is a form of sleep disordered breathing characterized by frequent episodes of upper airway collapse during sleep. Pediatric OSA occurs in 1-5% of chil…
Chatter Diagnosis in Milling Using Supervised Learning and Topological Features Vector
Melih C. Yesilli, Sarah Tymochko, Firas A. Khasawneh +1
Chatter detection has become a prominent subject of interest due to its effect on cutting tool life, surface finish and spindle of machine tool. Most of the existing methods in cha…
Adaptive Partitioning for Template Functions on Persistence Diagrams
Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh
As the field of Topological Data Analysis continues to show success in theory and in applications, there has been increasing interest in using tools from this field with methods fo…
Using Persistent Homology to Quantify a Diurnal Cycle in Hurricane Felix
Sarah Tymochko, Elizabeth Munch, Jason Dunion +2
The diurnal cycle of tropical cyclones (TCs) is a daily cycle in clouds that appears in satellite images and may have implications for TC structure and intensity. The diurnal patte…
Fairest edge usage and minimum expected overlap for random spanning trees
Nathan Albin, Jason Clemens, Derek Hoare +3
Random spanning trees of a graph are governed by a corresponding probability mass distribution (or "law"), , defined on the set of all spanning trees of . This paper addr…