Introduces neural operators with integral kernels parameterized in Fourier space, enabling resolution-invariant PDE solving - a foundational and highly cited work in physics AI.
arXiv preprint (copyright held by authors)FNONeural OperatorFoundational
HIPNO leverages symmetry-aware physics-informed neural operators to infer hemodynamic states from non-invasive signals, addressing scale symmetry challenges in physics-informed hemodynamic inference and expanding access to advanced monitoring.
See LICENSE fileHemodynamicsPhysics-Informed Neural NetworksNeural Operators
DNNsolver introduces a deep learning approach for modeling polarization-sensitive diffractive neural networks, addressing the challenge of accurate and efficient electromagnetic coupling simulation within cascaded diffractive layers.
See LICENSE fileDiffractive Neural NetworkElectromagnetic CouplingOptical Computing
Proposes bilinear Koopman model-based diffusion (BK-MBD) to reduce computational cost in real-time robot control by decoupling state lifting from candidate propagation.
See LICENSE fileKoopman operatordiffusion modelrobot control
Introduces mollified-sharp decomposition for probabilistic regularization of moving shocks in parametric reduced-order models, enhancing shock-capturing capabilities in CFD applications.
See LICENSE fileshock capturereduced-order modelprobabilistic regularization
Presents a general method for producing stochastic synthetic axion waveforms by shaping Gaussian white noise in the frequency domain, targeting microwave cavity haloscope calibration and analysis pipeline validation for dark matter axion searches.
See LICENSE filedark matter detectionaxionmicrowave cavity
Gnomon introduces a physics-informed system that reconstructs LEO satellite serving geometry and signal attenuation to forecast user-perceived downlink/uplink throughput and RTT under varying trace availability.
See LICENSE fileLEO satellitePhysics-Informed Neural Networklink prediction
A browser-based acoustic simulator and inverse design tool for wind instrument bores without tone holes, using Transfer Matrix Method for forward modeling and adjoint-based Tikhonov regularization for inverse design optimization.
See LICENSE fileacoustic simulationwind instrument designinverse design
Proposes combining Artificial Representative Trees with leaf-wise Mondrian Conformal Predictive Systems to enable a single decision tree to provide continuous predictions, prediction intervals, and probabilistic outputs as an interpretable ML approach.
See LICENSE fileDecision TreesInterpretable MLUncertainty Quantification
The Fractional Fourier Neural Operator (FrFNO) integrates the analytic Mittag-Leffler propagator into a Fourier-based neural operator to provide a resolution-robust surrogate for space-time fractional PDEs with memory-dependent derivatives.
See LICENSE fileFractional PDENeural OperatorMittag-Leffler Propagator
A novel computationally efficient surrogate model for linear mode coupling in graded-index multimode fibers, tunable via a single measurable parameter, benchmarked numerically and experimentally on a 90-polarization-mode fiber.
See LICENSE fileMode CouplingMultimode FiberSurrogate Model
Proposes WaveOp-LiteFM, a lightweight neural-operator flow matching approach that addresses the trade-off between computational cost and accuracy in satellite-to-radar precipitation retrieval for atmospheric remote sensing applications.
See LICENSE fileprecipitation retrievalneural operatorflow matching
Proposes a nonlinear reduced-order model with convolutional operator compression to overcome the Kolmogorov N-width limitation of linear projection-based ROMs, achieving accurate approximations with fewer modes for parametrized PDEs.
See LICENSE filereduced-order modelconvolutional operatorN-width
Presents PQLS, a quasilinear gyrokinetic transport solver using an eigenvalue solver in general magnetic geometry with Bayesian saturation-rule closure to improve turbulent transport prediction in tokamak plasmas.
See LICENSE fileGyrokineticPlasma TurbulenceQuasilinear Model
This paper proposes an improved periodic activation using complex exponential functions generating paired sine-cosine outputs for Physics-Informed Neural Networks, demonstrating superior performance over sine-activated MLPs in reconstructing temperature fields from sparse velocity data in convective flows.
See LICENSE filePINNsperiodic activationconvective flows
This paper solves the four-dimensional HJB equation for two diffusively coupled Stuart-Landau-like oscillators to obtain full-state optimal feedback control, revealing a sharp transition in control strategy from phase synchronization to amplitude collapse at a critical coupling threshold.
See LICENSE filecoupled oscillatorsHJB equationamplitude collapse
Proposes block-triangular joint drifting to overcome the challenge of estimating conditional distributions in stochastic transition modeling, enabling one-step generative surrogate models for trajectory data prediction.
See LICENSE filegenerative surrogate modelstochastic processstate transition