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An alternating learning-based collocation method for solving inverse elliptic problems

arXiv:2606.01622v1 Announce Type: cross Abstract: We propose the Alternating Learning-Based Collocation (ALBC) method for solving inverse elliptic problems. Our approach employs sinusoidal shallow networks as adaptive basis generators. By alternately updating the state variable and the unknown parameter, we decompose the original nonconvex joint optimization problem into a sequence of tractable linear subproblems.

arXiv Physics 8d ago

An alternating learning-based collocation method for solving inverse elliptic problems

Announce Type: new Abstract: We propose the Alternating Learning-Based Collocation (ALBC) method for solving inverse elliptic problems. Our approach employs sinusoidal shallow networks as adaptive basis generators. By alternately updating the state variable and the unknown parameter, we decompose the original nonconvex joint optimization problem into a sequence of tractable linear subproblems.

arXiv CS 8d ago