[图书][B] Essentials of tropical combinatorics
M Joswig - 2021 - books.google.com
The goal of this book is to explain, at the graduate student level, connections between
tropical geometry and optimization. Building bridges between these two subject areas is …
tropical geometry and optimization. Building bridges between these two subject areas is …
Information geometry for phylogenetic trees
MK Garba, TMW Nye, J Lueg… - Journal of Mathematical …, 2021 - Springer
We propose a new space of phylogenetic trees which we call wald space. The motivation is
to develop a space suitable for statistical analysis of phylogenies, but with a geometry based …
to develop a space suitable for statistical analysis of phylogenies, but with a geometry based …
Tropical principal component analysis on the space of phylogenetic trees
Motivation Due to new technology for efficiently generating genome data, machine learning
methods are urgently needed to analyze large sets of gene trees over the space of …
methods are urgently needed to analyze large sets of gene trees over the space of …
Tropical medians by transportation
A Comăneci, M Joswig - Mathematical Programming, 2024 - Springer
Fermat–Weber points with respect to an asymmetric tropical distance function are studied. It
turns out that they correspond to the optimal solutions of a transportation problem. The …
turns out that they correspond to the optimal solutions of a transportation problem. The …
[HTML][HTML] Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians
We present a massively parallel framework for computing tropicalizations of algebraic
varieties which can make use of symmetries using the workflow management system GPI …
varieties which can make use of symmetries using the workflow management system GPI …
Tropical Gaussians: a brief survey
NM Tran - Algebraic statistics, 2020 - msp.org
Tropical mathematics has found many applications in both pure and applied areas, as
documented by a growing number of monographs on its interactions with various other …
documented by a growing number of monographs on its interactions with various other …
Tropical logistic regression model on space of phylogenetic trees
Classification of gene trees is an important task both in the analysis of multi-locus
phylogenetic data, and assessment of the convergence of Markov Chain Monte Carlo …
phylogenetic data, and assessment of the convergence of Markov Chain Monte Carlo …
[HTML][HTML] Tropical support vector machines: Evaluations and extension to function spaces
R Yoshida, M Takamori, H Matsumoto, K Miura - Neural Networks, 2023 - Elsevier
Abstract Support Vector Machines (SVMs) are one of the most popular supervised learning
models to classify using a hyperplane in an Euclidean space. Similar to SVMs, tropical …
models to classify using a hyperplane in an Euclidean space. Similar to SVMs, tropical …
Tropical geometry of phylogenetic tree space: a statistical perspective
Phylogenetic trees are the fundamental mathematical representation of evolutionary
processes in biology. They are also objects of interest in pure mathematics, such as …
processes in biology. They are also objects of interest in pure mathematics, such as …
Signed tropical halfspaces and convexity
We extend the fundamentals for tropical convexity beyond the tropically positive orthant
expanding the theory developed by Loho and V\'egh (ITCS 2020). We study two notions of …
expanding the theory developed by Loho and V\'egh (ITCS 2020). We study two notions of …