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Transformer Geometry Observatory TGO-IV: Developmental Topology Observatory
Kaustubh Kapil, Kishor P. Upla
Transformers have had a profound impact on the world of language processing and computer vision. As efforts to answer the million-dollar question of ``How does a Transformer learn?…
SPARC-Net: A Spectral, Causality-Aware, and Hard-Constrained Physics-Informed Architecture for Stiff and Shock-Dominated Partial Differential Equations
Divyavardhan Singh, Dimple Sonone, Hammad Mohammad +1
Physics-Informed Neural Networks (PINNs) provide a meshless approach for solving partial differential equations (PDEs), but suffer severe degradation in stiff and shock-dominated p…
Stabilized Adaptive Loss and Residual-Based Collocation for Physics-Informed Neural Networks
Divyavardhan Singh, Shubham Kamble, Dimple Sonone +1
Physics-Informed Neural Networks (PINNs) have been recognized as a mesh-free alternative to solve partial differential equations where physics information is incorporated. However,…