205 citations · 1.2k across the 33 of their papers we have counts for
4 papers · 1 filter
Automatic differentiation and the optimization of differential equation models in biology
Steven A. Frank
A computational revolution unleashed the power of artificial neural networks. At the heart of that revolution is automatic differentiation, which calculates the derivative of a per…
Optimizing differential equations to fit data and predict outcomes
Steven A. Frank
Many scientific problems focus on observed patterns of change or on how to design a system to achieve particular dynamics. Those problems often require fitting differential equatio…
Measurement Invariance, Entropy, and Probability
Steven A. Frank, D. Eric Smith
We show that the natural scaling of measurement for a particular problem defines the most likely probability distribution of observations taken from that measurement scale. Our app…
The common patterns of nature
Steven A. Frank
We typically observe large-scale outcomes that arise from the interactions of many hidden, small-scale processes. Examples include age of disease onset, rates of amino acid substit…