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cs.LG2026
Meta-Learned Basis Adaptation for Parametric Linear PDEs
Vikas Dwivedi, Monica Sigovan, Bruno Sixou
We propose a hybrid physics-informed framework for solving families of parametric linear partial differential equations (PDEs) by combining a meta-learned predictor with a least-sq…
cs.LG2026
Soft Partition-based KAPI-ELM for Multi-Scale PDEs
Vikas Dwivedi, Monica Sigovan, Bruno Sixou
Physics-informed machine learning holds great promise for solving differential equations, yet existing methods struggle with highly oscillatory, multiscale, or singularly perturbed…