2 citations · 5 across the 8 of their papers we have counts for
8 papers
Exploring high-dimensional random landscapes: from spin glasses to random matrices, passing through simple chaotic systems
Alessandro Pacco
High-dimensional random landscapes underlie phenomena as diverse as glassy physics and optimization in machine learning, and even their simplest toy models already display extraord…
Non-reciprocal interactions and high-dimensional chaos: comparing dynamics and statistics of equilibria in a solvable class of models
Samantha J. Fournier, Alessandro Pacco, Valentina Ros +1
We investigate a model of high-dimensional dynamical variables with all-to-all interactions that are random and non-reciprocal. We characterize its phase diagram and show that the…
Triplets of local minima in a high-dimensional random landscape: Correlations, clustering, and memoryless activated jumps
Alessandro Pacco, Alberto Rosso, Valentina Ros
We compute the distribution of triplets of stationary points in the energy landscape of the spherical p-spin model, by evaluating the quenched three-point complexity by means of th…
Curvature-driven pathways interpolating between stationary points: the case of the pure spherical 3-spin model
Alessandro Pacco, Giulio Biroli, Valentina Ros
This paper focuses on characterizing the energy profile along pathways connecting different regions of configuration space in the context of a prototypical glass model, the pure sp…
Overlaps between eigenvectors of spiked, correlated random matrices: from matrix PCA to random Gaussian landscapes
Alessandro Pacco, Valentina Ros
We consider pairs of GOE (Gaussian Orthogonal Ensemble) matrices which are correlated with each others, and subject to additive and multiplicative rank-one perturbations. We focus…
Learning Gaussian Mixtures with Generalised Linear Models: Precise Asymptotics in High-dimensions
Bruno Loureiro, Gabriele Sicuro, Cédric Gerbelot +3
Generalised linear models for multi-class classification problems are one of the fundamental building blocks of modern machine learning tasks. In this manuscript, we characterise t…
The Look-and-Say The Biggest Sequence Eventually Cycles
Éric Brier, Rémi Géraud-Stewart, David Naccache +2
In this paper we consider a variant of Conway's sequence (OEIS A005150, A006715) defined as follows: the next term in the sequence is obtained by considering contiguous runs of dig…
Stuttering Conway Sequences Are Still Conway Sequences
Éric Brier, Rémi Géraud-Stewart, David Naccache +2
A look-and-say sequence is obtained iteratively by reading off the digits of the current value, grouping identical digits together: starting with 1, the sequence reads: 1, 11, 21,…