4 papers
Implementing neural network mixed-effects models in Template Model Builder (TMB)
Nan Zheng, Hoi Yiu Cheung, Vibhu Sharma +2
Neural network mixed-effects models (NMMs) have gained traction by combining the strong representation and predictive power of artificial neural networks with the capacity of mixed…
Leveraging Sparsity to Improve No-U-Turn Sampling Efficiency for Hierarchical Bayesian Models
Cole C. Monnahan, Kasper Kristensen, James T. Thorson +1
Analysts routinely use Bayesian hierarchical models to understand natural processes. The no-U-turn sampler (NUTS) is the most widely used algorithm to sample high-dimensional, cont…
Analyzing the topological structure of composite dynamical systems
Michael Robinson, Michael L. Szulczewski, James T. Thorson
This chapter explores dynamical structural equation models (DSEMs) and their nonlinear generalizations into sheaves of dynamical systems. It demonstrates these two disciplines on p…
A unifying theory for the evaluation of conditional Akaike information for mixed-effects models
Nan Zheng, Noel Cadigan, James T. Thorson
We propose two methods to evaluate the conditional Akaike information (cAI) for mixed-effects models with no restriction on cluster size. Method 1 is designed for continuous data a…