1 citations · 1 across the 9 of their papers we have counts for
9 papers
Tracking Representation Dynamics in Large Language Models with Persistent Homology
Naman Malhotra, Jay Ambadkar, Abhinav Gupta +4
Large language models are commonly aligned through supervised fine-tuning, yet little is known about how their internal representations evolve during this process. We study alignme…
Counting symmetric unimodular triangulations
Kamillo Ferry, Michael Joswig, Jörg Rambau
The objects of study are triangulations of the dilated standard triangle in the plane. Motivated by work on T-curves (Geiselmann et al., 2026), the focus lies on unimodular triangu…
Minimum bounding polytropes for estimation of max-linear Bayesian networks
Kamillo Ferry
Max-linear Bayesian networks are recursive max-linear structural equation models represented by an edge weighted directed acyclic graph (DAG). The identifiability and estimation of…
Inference for max-linear Bayesian networks with noise
Mark Adams, Kamillo Ferry, Ruriko Yoshida
Max-Linear Bayesian Networks (MLBNs) provide a powerful framework for causal inference in extreme-value settings; we consider MLBNs with noise parameters with a given topology in t…
Polyhedral Aspects of Maxoids
Tobias Boege, Kamillo Ferry, Benjamin Hollering +1
The conditional independence (CI) relation of a distribution in a max-linear Bayesian network depends on its weight matrix through the -separation criterion. These CI~model…
Good Triangulations of Cosmological Polytopes
Aenne Benjes, Kamillo Ferry, Benjamin Schröter
Cosmological polytopes of graphs are a geometric tool in physics to study wavefunctions for cosmological models whose Feynman diagram is given by the graph. After their recent intr…
The GroebnerWalk.jl package for OSCAR
Kamillo Ferry, Francesco Nowell
Computing Gröbner bases is known to have a very high upper bound on computation time with respect to input length. Due to the connection between polyhedral geometry and Gröbner bas…
Tropical Fréchet Means: a polyhedral approach to exact optimization
Kamillo Ferry, Bo Lin, Carlos Améndola +2
The Fréchet mean is a fundamental notion of central tendency defined as a minimizer of a sum of squared distances in a general metric space. In this paper, we study Fréchet means i…
Tropical combinatorics of max-linear Bayesian networks
Carlos Améndola, Kamillo Ferry
A polytrope is a tropical polyhedron that is also classically convex. We study the tropical combinatorial types of polytropes associated to weighted directed acyclic graphs (DAGs).…