Perspectives on the integration between first-principles and data-driven modeling
Efficiently embedding and/or integrating mechanistic information with data-driven models is
essential if it is desired to simultaneously take advantage of both engineering principles and …
essential if it is desired to simultaneously take advantage of both engineering principles and …
Physics-informed machine learning in prognostics and health management: State of the art and challenges
Prognostics and health management (PHM) plays a constructive role in the equipment's
entire life health service. It has long benefited from intensive research into physics modeling …
entire life health service. It has long benefited from intensive research into physics modeling …
Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks
We propose two approaches of locally adaptive activation functions namely, layer-wise and
neuron-wise locally adaptive activation functions, which improve the performance of deep …
neuron-wise locally adaptive activation functions, which improve the performance of deep …
Physics informed neural fields for smoke reconstruction with sparse data
High-fidelity reconstruction of dynamic fluids from sparse multiview RGB videos remains a
formidable challenge, due to the complexity of the underlying physics as well as the severe …
formidable challenge, due to the complexity of the underlying physics as well as the severe …
Physics-integrated variational autoencoders for robust and interpretable generative modeling
Integrating physics models within machine learning models holds considerable promise
toward learning robust models with improved interpretability and abilities to extrapolate. In …
toward learning robust models with improved interpretability and abilities to extrapolate. In …
Physics constrained learning for data-driven inverse modeling from sparse observations
Deep neural networks (DNN) can model nonlinear relations between physical quantities.
Those DNNs are embedded in physical systems described by partial differential equations …
Those DNNs are embedded in physical systems described by partial differential equations …
Transformer meets boundary value inverse problems
A Transformer-based deep direct sampling method is proposed for electrical impedance
tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A …
tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A …
Partial differential equations meet deep neural networks: A survey
Many problems in science and engineering can be represented by a set of partial differential
equations (PDEs) through mathematical modeling. Mechanism-based computation following …
equations (PDEs) through mathematical modeling. Mechanism-based computation following …
Algorithmically-consistent deep learning frameworks for structural topology optimization
Topology optimization has emerged as a popular approach to refine a component's design
and increase its performance. However, current state-of-the-art topology optimization …
and increase its performance. However, current state-of-the-art topology optimization …
Inverse design of spontaneous parametric downconversion for generation of high-dimensional qudits
Spontaneous parametric downconversion (SPDC) in quantum optics is an invaluable
resource for the realization of high-dimensional qudits with spatial modes of light. One of the …
resource for the realization of high-dimensional qudits with spatial modes of light. One of the …