Search Results for author: Sokratis J. Anagnostopoulos

Found 2 papers, 1 papers with code

Learning in PINNs: Phase transition, total diffusion, and generalization

no code implementations27 Mar 2024 Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, George Em Karniadakis

We investigate the learning dynamics of fully-connected neural networks through the lens of gradient signal-to-noise ratio (SNR), examining the behavior of first-order optimizers like Adam in non-convex objectives.

Residual-based attention and connection to information bottleneck theory in PINNs

1 code implementation1 Jul 2023 Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, George Em Karniadakis

Driven by the need for more efficient and seamless integration of physical models and data, physics-informed neural networks (PINNs) have seen a surge of interest in recent years.

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