In this talk, we will present some initial work on planning using topological abstraction. We will consider a multi-pursuer multi-evader problem as a case study to ground the discussion. We will describe how we can cast the abstraction problem as a topological problem and by leveraging sheaf theoretic methods develop a framework to search for st...
Creator:
Speranzon, Alberto (United Technologies Corporation)
Created:
2015-10-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Breast cancer is a complex genetic set of diseases that remains to be understood. It is widely believed that for initiation and progression of each of these diseases a number of genes need to be missregulated. Gene missregulation may occur through gains or losses of the genome, commonly termed DNA copy number abnormalities (CNAs). CNAs are routi...
Creator:
Arsuaga, F. Javier (San Francisco State University)
Created:
2013-10-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Living nematic is a realization of an active matter combining a nematic liquid crystal with swimming bacteria. The material exhibits a remarkable tendency towards spatio-temporal self-organization manifested in the creation of dynamic textures of self-propelled half-integer topological defects (disclinations or vortices). The well-established a...
Creator:
Aronson, Igor (The Pennsylvania State University)
Created:
2018-01-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
To understand the function of neurons, as well as other types of cells in the brain, it is essential to analyze their shape. Perhaps unsurprisingly, topology provides us with tools ideally suited to performing such an analysis. In this talk I will present a selection of the results of a long-standing collaboration with Lida Kanari of the Blue Br...
Creator:
Kathryn Hess-Bellwald, Kathryn (École Polytechnique Fédérale de Lausanne (EPFL))
Created:
2022-08-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In the first lecture, we will provide an overview of the various ways that topological informationis used in signal detection problems in functional MRI (fMRI) and otherimaging applications. The principal tool used involves computing the expectednumber of critical points of various types of a smooth random field undersome predetermined null hypo...
Creator:
Taylor, Jonathan (Stanford University)
Created:
2013-10-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.