Convexity in tree spaces
We study the geometry of metrics and convexity structures on the space of phylogenetic
trees, which is here realized as the tropical linear space of all ultrametrics. The CAT(0) …
trees, which is here realized as the tropical linear space of all ultrametrics. The CAT(0) …
Principal component analysis and the locus of the Fréchet mean in the space of phylogenetic trees
Evolutionary relationships are represented by phylogenetic trees, and a phylogenetic
analysis of gene sequences typically produces a collection of these trees, one for each gene …
analysis of gene sequences typically produces a collection of these trees, one for each gene …
Confidence sets for phylogenetic trees
A Willis - Journal of the American Statistical Association, 2019 - Taylor & Francis
Inferring evolutionary histories (phylogenetic trees) has important applications in biology,
criminology, and public health. However, phylogenetic trees are complex mathematical …
criminology, and public health. However, phylogenetic trees are complex mathematical …
[PDF][PDF] Investigations in Hadamard spaces
A Bërdëllima - 2021 - ediss.uni-goettingen.de
This thesis investigates the interplay between geometry and convex analysis in Hadamard
spaces. Formally a Hadamard space is a complete CAT (0) space, ie a metric space of …
spaces. Formally a Hadamard space is a complete CAT (0) space, ie a metric space of …
Advanced methods for point cloud processing and simplification
Nowadays, mobile robot exploration needs a rangefinder to obtain a large number of
measurement points to achieve a detailed and precise description of a surrounding area …
measurement points to achieve a detailed and precise description of a surrounding area …
Improved particle swarm optimization algorithm based on a three-dimensional convex hull for fitting a screw thread central axis
L Lei, Z **e, H Zhu, Y Guan, M Kong, BO Zhang… - IEEE …, 2020 - ieeexplore.ieee.org
To meet the needs of three-dimensional (3D) measurement and to achieve the high-
precision fitting of the central axis of a screw thread, this study performed complex …
precision fitting of the central axis of a screw thread, this study performed complex …
Geodesics to characterize the phylogenetic landscape
Phylogenetic trees are fundamental for understanding evolutionary history. However, finding
maximum likelihood trees is challenging due to the complexity of the likelihood landscape …
maximum likelihood trees is challenging due to the complexity of the likelihood landscape …
Recognizing weighted means in geodesic spaces
Geodesic metric spaces support a variety of averaging constructions for given finite sets.
Computing such averages has generated extensive interest in diverse disciplines. Here we …
Computing such averages has generated extensive interest in diverse disciplines. Here we …
Maximum likelihood estimation of log-concave densities on tree space
Y Takazawa, T Sei - Statistics and Computing, 2024 - Springer
Phylogenetic trees are key data objects in biology, and the method of phylogenetic
reconstruction has been highly developed. The space of phylogenetic trees is a …
reconstruction has been highly developed. The space of phylogenetic trees is a …
Compact sets and the closure of their convex hulls in CAT (0) spaces
A Bërdëllima - arxiv preprint arxiv:2109.06002, 2021 - arxiv.org
We study the closure of the convex hull of a compact set in a complete CAT (0) space. First
we give characterization results in terms of compact sets and the closure of their convex …
we give characterization results in terms of compact sets and the closure of their convex …