differential equations 1finite-sample analysis 1kernel methods 1physics-informed learning 1reproducing kernel Hilbert space 1universal consistency 1
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math.AP2026
Analytic inverse problems with finitely many random measurements
Giovanni S. Alberti, Damiano Poletti, Simone Sanna +1
While infinite-dimensional inverse problems are traditionally analyzed assuming continuous data, practical applications rely on finitely many discrete measurements. Recent determin…
math.AP2026
Inverse problems for quasi-linear elliptic systems modeling electrolysers
Giovanni S. Alberti, Wadim Gerner, Matteo Santacesaria
We investigate the electrochemical processes within an electrolyser cell, which are modelled by a coupled system of second-order quasi-linear elliptic PDEs. In this context, we stu…