The broader question is methodological:
As AI systems grow increasingly complex and opaque, should we invest more effort in stable, reproducible equation discovery methods?
Symbolic regression might deserve renewed attention.
🔗 doi.org/10.1016/j.es...
#SymbolicRegression #ExplainableAI #ScientificML

125 citations: Can you trust your PINN solutions? This work develops rigorous error estimates for residual minimization in neural networks, providing convergence guarantees for quantifying solution accuracy.

📖 www.dl.begellhouse.com/journals/558...

#ScientificML #PINNs

165 citations: ReLU performs poorly in physics-informed ML due to derivative requirements. Hyperbolic tangent, swish & sine (especially adaptive variants) deliver superior results for multiscale scientific problems.

📖 www.dl.begellhouse.com/journals/558...

#NeuralNetworks #ScientificML

359 citations: Standard PIML fails for nonlinear hyperbolic PDEs with shock discontinuities in two-phase porous media transport. The breakthrough? Adding minimal diffusion enables accurate neural network learning.

📖 www.dl.begellhouse.com/journals/558...

#PIML #ScientificML

Registrations close for #DRSciML by Noon (Manchester time). Do register soon to ensure you get the Zoom links to attend this exciting event on the foundations of #ScientificML 💥

🔗 Read the paper: arxiv.org/pdf/2507.0...

#AI #ConformalPrediction #DataExtraction #ScientificML #OCR #NLP #MachineLearning #UncertaintyQuantification

Machine learning with hard constraints: Neural Differential-Algebraic Equations (DAEs) as a general formalism - Stochastic Lifestyle We recently released a new manuscript Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints where we showed a way to develop neural networks where any arbitrary...

Looking to build ML models that strictly follow physical or structural constraints?
This blog dives into Neural DAEs—a powerful approach using differential-algebraic equations.
www.stochasticlifestyle.com/machine-lear...
#JuliaLang #MachineLearning #NeuralDAEs #ScientificML #AIResearch

Deep Neural Network for Solving Poisson−Boltzmann Equations on Protein Surfaces

www.dl.begellhouse.com/journals/558...

#ComputationalBiophysics #ScientificML #Electrostatics #DeepLearningModels

Deep Neural Network for Solving Poisson−Boltzmann Equations on Protein Surfaces

www.dl.begellhouse.com/journals/558...

#ComputationalBiophysics #ScientificML #Electrostatics #DeepLearningModels

Deep Neural Network for Solving Poisson−Boltzmann Equations on Protein Surfaces

www.dl.begellhouse.com/journals/558...

#ComputationalBiophysics #ScientificML #Electrostatics #DeepLearningModels