60 citations · 504 across the 24 of their papers we have counts for
24 papers
Far from Asymptopia
Michael C. Abbott, Benjamin B. Machta
Inference from limited data requires a notion of measure on parameter space, most explicit in the Bayesian framework as a prior. Here we demonstrate that Jeffreys prior, the best-k…
Information geometry for multiparameter models: New perspectives on the origin of simplicity
Katherine N. Quinn, Michael C. Abbott, Mark K. Transtrum +2
Complex models in physics, biology, economics, and engineering are often sloppy, meaning that the model parameters are not well determined by the model predictions for collective b…
Resurgence in the O(4) sigma model
Michael C. Abbott, Zoltán Bajnok, János Balog +2
We analyze the free energy of the integrable two dimensional O(4) sigma model in a magnetic field. We use Volin's method to extract high number (2000) of perturbative coefficients…
From perturbative to non-perturbative in the O(4) sigma model
Michael C. Abbott, Zoltán Bajnok, János Balog +1
We study the resurgent trans-series for the free energy of the two-dimensional O(4) sigma model in a magnetic field. Exploiting integrability, we obtain very high-order perturbativ…
Integrable Field Theories with an Interacting Massless Sector
Michael C. Abbott, Inês Aniceto
We present the first known integrable relativistic field theories with interacting massive and massless sectors. And we demonstrate that knowledge of the massless sector is essenti…
A scaling law from discrete to continuous solutions of channel capacity problems in the low-noise limit
Michael C. Abbott, Benjamin B. Machta
An analog communication channel typically achieves its full capacity when the distribution of inputs is discrete, composed of just K symbols, such as voltage levels or wavelengths.…