Papers & Surveys

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

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Deep-Learning Solvers and Surrogates for Infinity and p-Laplace Problems

ScientificML
This paper investigates neural network solvers for infinity and p-Laplace problems in nonlinear analysis, applying PINNs and DeepONets to 2D and 3D domains with p values ranging from 2 to 1000.
New See LICENSE file Infinity equationsp-Laplace equationsPhysics-informed neural networks

Equation Discovery with Bayesian Tree-Adjoining Grammars

ScientificML
A Bayesian tree-adjoining grammar framework for equation discovery and structure identification in general nonlinear systems.
New See LICENSE file equation discoveryBayesian modelingtree-adjoining grammars

On the Limits of Univariate Deep Learning for Significant Wave Height Forecasting

Fluid Mechanics
This study evaluates five deep learning architectures for univariate significant wave height forecasting using buoy observations. Across a 47-buoy, 37-year evaluation corpus, the model families converge to nearly identical performance, with an between-family standard deviation of 0.0014 square meters.
New See LICENSE file significant wave height forecastingocean buoysdeep learning comparison

Architecture Acceleration of Machine Learning Gravitational Waveform Surrogate Models

Geophysics
This paper presents differentiable and hardware-accelerated implementations of the machine-learning surrogate models mlgw and mlgw-bns for gravitational-wave waveform modeling, enabling JIT compilation, vector parallelization, GPU acceleration, and automatic differentiation within JAX.
New See LICENSE file gravitational waveswaveform surrogate modelsGPU acceleration

Gradient Surgery for Physics-Informed Neural Networks

ScientificML
This paper studies gradient conflicts and multi-task optimization in Physics-Informed Neural Networks, with implications for more stable convergence in stiff and high-frequency partial differential equations.
New See LICENSE file Physics-Informed Neural NetworksGradient ConflictsMulti-Task Optimization

Conformal Symplectic Structure of Brinkman Penalisation for Structure-Preserving Operator Learning of Hamiltonian PDEs

ScientificML
Reveals compatibility conditions under which multi-symplectic Hamiltonian PDEs regularized by Brinkman-type penalization retain a multi-conformal symplectic structure, yielding exact local conservation laws for structure-preserving operator learning on complex geometries.
New See LICENSE file Hamiltonian PDEsBrinkman penalizationStructure-preserving learning

DNNsolver: Accurate and Efficient Deep Learning Modeling of Polarization-Sensitive Diffractive Neural Networks

Electromagnetics
DNNsolver introduces a deep learning-based approach for modeling polarization-sensitive diffractive neural networks, addressing the limitation of thin element approximation in capturing intra-layer electromagnetic coupling for improved accuracy and efficiency in high-density optical computing.
New See LICENSE file Diffractive Neural NetworksPolarization-SensitiveElectromagnetic Coupling

GridSFM: A Foundation Model for Solving AC Optimal Power Flow

Power Systems
A physics-informed GNN-based foundation model for AC-OPF, pretrained across 54 grid topologies (500-4,000 buses), achieving 2.45% zero-shot generation-cost error on 10,000-bus systems.
New See LICENSE file AC-OPFGraph Neural NetworkPower System Optimization

PR-Smoother: Simulator-Preserving Non-Gaussian Smoothing for Data Assimilation

Geophysics
PR-Smoother is an amortized smoother for prescribed-simulator data assimilation, supporting non-Gaussian posterior estimation over physical state variables in high-dimensional simulators with calibration compatibility.
New See LICENSE file Data AssimilationNon-Gaussian SmoothingAmortized Inference
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