4 papers
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation
Aldric Labarthe, Yann Kerzreho
We study horizontal differentiation when the set of feasible products is a structured subset of the Lancasterian characteristics space. Modeling this set as a compact Riemannian ma…
Bayesian Latent Space Models for Graphs Are Misspecified: Toward Robust Inference via Generalized Posteriors
Aldric Labarthe
Bayesian latent space models offer a principled approach to network representation, but rely on correct specification of both geometry and link function. Real-world networks often…
Aligning the Unseen in Attributed Graphs: Interplay between Graph Geometry and Node Attributes Manifold
Aldric Labarthe, Roland Bouffanais, Julien Randon-Furling
The standard approach to representation learning on attributed graphs -- i.e., simultaneously reconstructing node attributes and graph structure -- is geometrically flawed, as it m…
Generating social networks with static and dynamic utility-maximization approaches
Aldric Labarthe, Yann Kerzreho
In this paper, we introduce a conceptual framework that model human social networks as an undirected dot-product graph of independent individuals. Their relationships are only dete…