11 citations · 13 across the 4 of their papers we have counts for
6 papers
Right Number, Wrong State? Measuring Cross-Jurisdiction Substitution in LLM Recall of State Policy
Jiayu Feng
When an LLM answers a state-specific policy question wrongly, it may be hallucinating, or it may be returning a real value that holds in another state. We test this with a minimal-…
Finding the Right Balance: Relevance and Diversity in LLM Retrieval
Guillaume Brouillette, Faustin Kagabo, Usef Faghihi +1
Retrieval diversification is widely available in retrieval-augmented generation (RAG) frameworks, yet prior studies disagree on whether it improves retrieval and answer quality. We…
Analyzing Multifiltering Functions Using Multiparameter Discrete Morse Theory
Guillaume Brouillette
A multiparameter filtration, or a multifiltration, may in many cases be seen as the collection of sublevel sets of a vector function, which we call a multifiltering function. The m…
Multiparameter Discrete Morse Theory
Guillaume Brouillette, Madjid Allili, Tomasz Kaczynski
The main objective of this paper is to extend Morse-Forman theory to vector-valued functions. This is mostly motivated by the need to develop new tools and methods to compute multi…
Tricomplex Distance Estimation for Filled-in Julia Sets and Multibrot Sets
Pierre-Olivier Parisé, Guillaume Brouillette, Dominic Rochon
In this article, we present a distance estimation formula that can be used to ray trace 3D slices of the filled-in Julia sets and the Multibrot sets generated by the tricomplex pol…
Characterization of the Principal 3D Slices Related to the Multicomplex Mandelbrot Set
Guillaume Brouillette, Dominic Rochon
This article focuses on the dynamics of the different tridimensional principal slices of the multicomplex Multibrot sets. First, we define an equivalence relation between those sli…