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In order to use persistence diagrams as a true statistical tool, it would be very useful to have a good notion of mean and variance for a set of diagrams. In [21], Mileyko and his collaborators made the first study of the properties of the Fréchet mean in (D p , W p), the space of persistence diagrams equipped with the p-th Wasserstein metric. In… (More)

- Katia Koelle, Oliver Ratmann, David A. Rasmussen, Virginia Pasour, Jonathan Mattingly
- Proceedings. Biological sciences / The Royal…
- 2011

Antigenically variable RNA viruses are significant contributors to the burden of infectious disease worldwide. One reason for their ubiquity is their ability to escape herd immunity through rapid antigenic evolution and thereby to reinfect previously infected hosts. However, the ways in which these viruses evolve antigenically are highly diverse. Some have… (More)

In order to use persistence diagrams as a true statistical tool, it would be very useful to have a good notion of mean and variance for a set of diagrams. In [20], Mileyko and his collaborators made the first study of the properties of the Fréchet mean in (D p , W p), the space of persistence diagrams equipped with the p-th Wasserstein metric. In… (More)

- Jonathan Mattingly, Pi
- 2009

We propose to create and administer a formal Fellows program that encourages talented post-docs with mathematical or theoretical science expertise to work on topics arising in a variety of disciplinary contexts and to benefit from interactions with peers and established faculty research groups. A number of senior faculty spanning a broad range of… (More)

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