Ella Pavlechko

Mathematics - Grads & Temps

Works (2)

Updated: July 5th, 2023 14:40

2022 article

Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary

Pavlechko, E., & Saksala, T. (2022, January 1). Inverse Problems and Imaging.

By: E. Pavlechko n & T. Saksala n

author keywords:   Inverse problem; Riemannian geometry; distance function; geodesics
topics (OpenAlex): Numerical methods in inverse problems; Thermoelastic and Magnetoelastic Phenomena; Geometric Analysis and Curvature Flows
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Source: Web Of Science
Added: June 20, 2022

2020 article

Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace

Anaya, M., Anipchenko-Ulaj, O., Ashfaq, A., Chiu, J., Kaiser, M., Ohsawa, M. S., … Yap, C. (2020, June 9). Advances in Applied Mathematics.

By: M. Anaya*, O. Anipchenko-Ulaj*, A. Ashfaq*, J. Chiu*, M. Kaiser*, M. Ohsawa*, M. Owen *, E. Pavlechko n ...

author keywords: Frechet mean; Phylogenetic trees; Non-positively curved spaces
topics (OpenAlex): Topological and Geometric Data Analysis; Functional Equations Stability Results; Advanced Topology and Set Theory; Point processes and geometric inequalities; Computational Geometry and Mesh Generation
TL;DR: The first necessary and sufficient conditions for an edge to be in the Frechet mean are given, in the form of inequalities on the weights of the edges, which provide a pre-processing step for finding the treespace orthant containing the Frehet mean. (via Semantic Scholar)
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Added: August 24, 2020

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