Nonlinear mixed-effects (NLME) models are essential for analyzing hierarchical and longitudinal data, particularly in pharmacometrics. This paper presents deep nonlinear mixed effects (DeepNLME) models and applications thereof in the DeepPumas software framework. DeepNLME integrates neural networks with scientific an...
Niklas Korsbo, M. Tarek, Lorenzo Contento et al.· Quantitative Medicine· 0 citations
Consider a parametric ODE control model. A function of the states and parameters is called observable if its value can in principle be reconstructed from input-output data. The observable functions form a field, called the observation field, represented naturally by a set of generators. Even when the model is not fully...
Alexander Demin, Gleb Pogudin, Christopher Rackauckas· 1 citation
This work exploits the structure that sample-wise batching and local PDE couplings induce in the projection subproblems, exposing this structure using ExaModels.jl and GPU sparse factorization to show that sparse GPU nonlinear optimization is a practical foundation for constrained generative sampling in scientific mach...
Alaina Kolli, Theodoros G. Xenakis, Utkarsh Utkarsh et al.· arXiv.org· 0 citations
This work introduces RLVP: Reinforcement Learning with Verifiable Physics, an RL post-training framework for multi-PDE solver code generation and shows that a smaller LLM post-trained with RLVP can outperform prompting a frontier model on in-distribution PDE solver generation.
Pengfei Cai, Utkarsh Utkarsh, Alan Edelman et al.· arXiv.org· 0 citations
PEM-UDE, a method that combines prediction-error methodology with universal differential equations to discover governing equations from limited, noise-corrupted observations, yields a multi-scale neural mass model that ties single-neuron parameters to macroscopic network dynamics and predicts a relationship between con...
Anthony G. Chesebro, David Hofmann, V. Dixit et al.· 1 citation
We use cookies to run the site and, with your consent, for analytics and to show ads.
See our Cookie Policy.