2 papers
math.ST2025
Algebraic Constraints for Linear Acyclic Causal Models
Cole Gigliotti, Elina Robeva
In this paper we study the space of second- and third-order moment tensors of random vectors which satisfy a Linear Non-Gaussian Acyclic Model (LiNGAM). In such a causal model each…
math.CO2025
Inversion Sets and Quotient Root Systems
Ivan Dimitrov, Cole Gigliotti, Etan Ossip +2
The main result of this paper is a recursive description of all decompositions \[ Î^+ = Φ_1 \sqcup Φ_2 \sqcup \dots \sqcup Φ_k \] of the positive roots of an arbitrary r…