48 citations · 52 across the 5 of their papers we have counts for
6 papers
Constrained or Unconstrained? Neural-Network-Based Equation Discovery from Data
Grant Norman, Jacqueline Wentz, Hemanth Kolla +2
Throughout many fields, practitioners often rely on differential equations to model systems. Yet, for many applications, the theoretical derivation of such equations and/or accurat…
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data
Jacqueline Wentz, Alireza Doostan
Recent advances in the field of data-driven dynamics allow for the discovery of ODE systems using state measurements. One approach, known as Sparse Identification of Nonlinear Dyna…
GenMod: A generative modeling approach for spectral representation of PDEs with random inputs
Jacqueline Wentz, Alireza Doostan
We propose a method for quantifying uncertainty in high-dimensional PDE systems with random parameters, where the number of solution evaluations is small. Parametric PDE solutions…
Analytical singular value decomposition for a class of stoichiometry matrices
Jacqueline M. Wentz, David M. Bortz
We present the analytical singular value decomposition of the stoichiometry matrix for a spatially discrete reaction-diffusion system on a one dimensional domain. The domain has tw…
Boundedness of a class of discretized reaction-diffusion systems
Jacqueline M. Wentz, David M. Bortz
Although the spatially continuous version of the reaction-diffusion equation has been well studied, in some instances a spatially-discretized representation provides a more realist…
Pattern Formation in the Longevity-Related Expression of Heat Shock Protein-16.2 in Caenorhabditis elegans
J. M. Wentz, A. Mendenhall, D. M. Bortz
Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress, expression levels of small heat sh…