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Found 6 papers, 2 papers with code
Variability of morphology in beat-to-beat photoplethysmographic waveform quantified with unsupervised wave-shape manifold learning for clinical assessment
We investigated the beat-to-beat fluctuation of the photoplethysmography (PPG) waveform.
A cusp-capturing PINN for elliptic interface problems
In this paper, we propose a cusp-capturing physics-informed neural network (PINN) to solve discontinuous-coefficient elliptic interface problems whose solution is continuous but has discontinuous first derivatives on the interface.
An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications
A new and efficient neural-network and finite-difference hybrid method is developed for solving Poisson equation in a regular domain with jump discontinuities on embedded irregular interfaces.
A shallow physics-informed neural network for solving partial differential equations on surfaces
To track the surface, we additionally introduce a prescribed hidden layer to enforce the topological structure of the surface and use the network to learn the homeomorphism between the surface and the prescribed topology.
A Shallow Ritz Method for Elliptic Problems with Singular Sources
We first introduce the energy functional of the problem and then transform the contribution of singular sources to a regular surface integral along the interface.
A Discontinuity Capturing Shallow Neural Network for Elliptic Interface Problems
In this paper, a new Discontinuity Capturing Shallow Neural Network (DCSNN) for approximating $d$-dimensional piecewise continuous functions and for solving elliptic interface problems is developed.
