output
20232026
most citedOn the Krein-Rutman theorem and beyond

2 citations

10 papers

math.DS2026

Backward bifurcations in spatial replicator models:when invasion criteria fail to predict coexistence

Tomas Freire, Erida Gjini, Sten Madec

The replicator equation is a central framework for studying frequency--dependent selection in ecology and evolutionary game theory. In well-mixed populations, the long-term outcome…

cs.LG2026

LiST: Lipschitz Scaling Training for Robust and Calibrated Neural Networks

Arthur Chiron, Franck Mamalet, Thomas Massena +2

While accuracy, robustness, and calibration are all essential for reliable neural networks, they are often studied separately; developing models that satisfy all three simultaneous…

cs.CV2026

LipSSD: Lipschitz-Constrained Single-Shot Detection for Adversarially Robust Object Detection

Vincent Lébé, Yannick Prudent, Corentin Friedrich +3

Object detectors have many applications in safety-critical systems, but they are known to be sensitive to worst-case perturbations such as adversarial attacks, which limits their a…

cs.AI2026

From SGD to Muon: Adaptive Optimization via Schatten-p Norms

Thomas Massena, Corentin Friedrich, Mathieu Serrurier

Modern optimizers, like Muon, impose matrix-wise geometry constraints on their updates. These matrix-wise constraints can be unified under Linear Minimization Oracle (LMO) theory.…

q-bio.PE2026

Multi-strain SIS dynamics with coinfection under host population structure

Sten Madec, Nicola Cinardi, Erida Gjini

Coinfection phenomena are common in nature, yet there is a lack of analytical approaches for coinfection systems with a high number of circulating and interacting strains. In this…

cs.CV2025

Fast and Flexible Robustness Certificates for Semantic Segmentation

Thomas Massena, Corentin Friedrich, Franck Mamalet +1

Deep Neural Networks are vulnerable to small perturbations that can drastically alter their predictions for perceptually unchanged inputs. The literature on adversarially robust De…

math.DS2025

Derivation of a spatial replicator system with environmental heterogeneity from a co-colonization SIS model with N strains and P patches

Sten Madec, Erida Gjini

The interplay between local and regional processes in the dynamics of ecological communities remains a challenge to model, analyze and predict. This is especially notable in infect…

cs.LG2025

Efficient Robust Conformal Prediction via Lipschitz-Bounded Networks

Thomas Massena, Léo andéol, Thibaut Boissin +4

Conformal Prediction (CP) has proven to be an effective post-hoc method for improving the trustworthiness of neural networks by providing prediction sets with finite-sample guarant…

stat.AP2025

Gaussian Process-driven Hidden Markov Models for Early Diagnosis of Infant Gait Anomalies

Luis Torres-Torres F., Jonatan Arias-García, Hernán F. García +2

Gait analysis is critical in the early detection and intervention of motor neurological disorders in infants. Despite its importance, traditional methods often struggle to model th…

math.AP2023★ 2 cited

On the Krein-Rutman theorem and beyond

Claudia Fonte Sanchez, Pierre Gabriel, Stéphane Mischler

In this work, we revisit the Krein-Rutman theory for semigroups of positive operators in a Banach lattice framework and we provide some very general, efficient and handy results wi…