Papers & Surveys

Must-read benchmark papers and technical surveys (no news or industry reports)

20 resources

AOT-POT: Adaptive Operator Transformation for Large-Scale PDE Pre-training

ScientificML
Proposes Adaptive Operator Transformation (AOT) to address structural diversity challenges in multi-PDE pre-training by adapting target solution operators rather than increasing model capacity, improving neural operator generalization across equations.
See LICENSE file Neural OperatorPDE Pre-trainingAdaptive Transformation

DeepONet (Original Paper)

Foundational Paper
Presents a branch-trunk architecture realizing a deep learning version of the universal operator approximation theorem - the first systematic architecture for learning nonlinear operators and still a mainstream baseline.
arXiv preprint (copyright held by authors) DeepONetNeural OperatorFoundational

Fourier Neural Operator (Original Paper)

Foundational Paper
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

Gnomon: Physics-Informed Link-State Forecasting for LEO Networks

Electromagnetics
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 file LEO satellitePhysics-Informed Neural Networklink prediction

Beyond Point Prediction: Artificial Representative Trees with Uncertainty

ScientificML
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 file Decision TreesInterpretable MLUncertainty Quantification
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