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cs.LG2026
An Optimisation Framework for the Well-Conditioned Training of Physics-Informed Neural Networks
Joseph Webb, Sadok Jerad, Coralia Cartis
Physics-informed neural networks (PINNs) have emerged as a promising route to solve partial differential equations, yet they have struggled to reach the precision of classical solv…
math.OC2026
Fast Adaptive Tensor Methods Under Local Smoothness
Sadok Jerad
A new, fast adaptive regularization methods is proposed and analyzed under local Lipschitz smoothness of the -th order tensor. For nonconvex problems, it achieves the optimal $\…
math.OC2026
A Parameter-Free First-Order Algorithm for Non-Convex Optimization with Global Rate
Sichao Xiong, Sadok Jerad, Coralia Cartis
We introduce PF-AGD, the first parameter-free, deterministic, accelerated first-order method to achieve oracle complexity bound when minimizing sufficiently…