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math.OC2026
Non-Archimedean Polydisc Spaces and Applications to Optimisation
Paul Lezeau, Yiannis Fam, Anthea Monod +1
We propose a new framework for optimisation over non-Archimedean spaces inspired by Berkovich geometry. Specifically, we introduce polydisc spaces, which consists of products of cl…
math.OC2026
Trajectory-Restricted Optimization Conditions and Geometry-Aware Linear Convergence
Faris Chaudhry, Anthea Monod, Keisuke Yano
Linear convergence of first-order methods is typically characterized by global optimization conditions whose constants reflect worst-case geometry of the ambient space. In high-dim…