2 citations · 2 across the 6 of their papers we have counts for
14 papers
Algebraic Distance Optimization in Polyhedral Norms
Eliana Duarte, Nidhi Kaihnsa, Julia Lindberg +2
We consider the distance minimization problem to a real algebraic variety $X \subseteq \RR^n$ when the metric is induced by a polyhedral norm. Each point in the variety has a Voron…
Learning Linear Gaussian Polytree Models with Interventions
D. Tramontano, L. Waldmann, M. Drton +1
We present a consistent and highly scalable local approach to learn the causal structure of a linear Gaussian polytree using data from interventional experiments with known interve…
Algebraic Geometry of Quantum Graphical Models
Eliana Duarte, Dmitrii Pavlov, Maximilian Wiesmann
Algebro-geometric methods have proven to be very successful in the study of graphical models in statistics. In this paper we introduce the foundations to carry out a similar study…
Toric Fiber Products in Geometric Modeling
Eliana Duarte, Benjamin Hollering, Maximilian Wiesmann
An important challenge in Geometric Modeling is to classify polytopes with rational linear precision. Equivalently, in Algebraic Statistics one is interested in classifying scaled…
Decomposable context-specific models
Yulia Alexandr, Eliana Duarte, Julian Vill
We introduce a family of discrete context-specific models, which we call decomposable. We construct this family from the subclass of staged tree models known as CStree models. We g…
Families of polytopes with rational linear precision in higher dimensions
Isobel Davies, Eliana Duarte, Irem Portakal +1
In this article we introduce a new family of lattice polytopes with rational linear precision. For this purpose, we define a new class of discrete statistical models that we call m…