In the last decade, developments in tropical geometry have provided a number of uses directly applicable to problems in statistical learning. The TML package is the first R package which contains a comprehensive set of tools and methods used for basic computations related to tropical convexity, visualization of tropically convex sets, as well as supervised and unsupervised learning models using the tropical metric under the max-plus algebra over the tropical projective torus. Primarily, the TML package employs a Hit and Run Markov chain Monte Carlo sampler in conjunction with the tropical metric as its main tool for statistical inference. In addition to basic computation and various applications of the tropical HAR sampler, we also focus on several supervised and unsupervised methods incorporated in the TML package including tropical principal component analysis, tropical logistic regression and tropical kernel density estimation.

翻译：过去十年间，热带几何的发展为统计学习问题提供了多种直接可用的方法。TML软件包是首个综合提供以下功能的R语言工具集：热带凸性基础计算、热带凸集可视化，以及基于热带射影环面上极大-加法代数下热带度量的监督与无监督学习模型。该软件包主要采用结合热带度量的Hit and Run马尔可夫链蒙特卡洛采样器作为统计推断的核心工具。除热带HAR采样器的基本计算及其多种应用外，我们还重点介绍了TML软件包中集成的若干监督与无监督方法，包括热带主成分分析、热带逻辑回归和热带核密度估计。