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Pierrick Leroy

3 accepted papers

2026

Topology and geometry of the learning space of ReLU networks: connectivity and singularities

ICLR 2026poster

Understanding the properties of the parameter space in feed-forward ReLU networks is critical for effectively analyzing and guiding training dynamics. After initialization, training under gradient flow decisively restricts the parameter space to an algebraic variety that emerges from the homogeneous…

Cited by 0SourceScholar
2025

Attributes Shape the Embedding Space of Face Recognition Models

ICML 2025poster

Face Recognition (FR) tasks have made significant progress with the advent of Deep Neural Networks, particularly through margin-based triplet losses that embed facial images into high-dimensional feature spaces. During training, these contrastive losses focus exclusively on identity information as…

2024

Topological obstruction to the training of shallow ReLU neural networks

NeurIPS 2024poster

Studying the interplay between the geometry of the loss landscape and the optimization trajectories of simple neural networks is a fundamental step for understanding their behavior in more complex settings. This paper reveals the presence of topological obstruction in the loss landscape of shallow R…

Cited by 1SourcePDFScholar