Publications by authors named "Benjamin L Francis"
Article Synopsis
- The paper examines how sensitive complex dynamical systems are to changes in parameters using information geometry, highlighting a phenomenon known as "sloppiness," where certain parameters have an exponential hierarchy of sensitivity.
- It introduces a classification scheme for parameters based on their sensitivity over long observation periods, distinguishing between models with high and low effective dimensionality, particularly in cases of oscillatory behavior.
- By defining a measure called winding frequency, the authors suggest methods to simplify high-dimensional models into more manageable low-dimensional structures, enabling the use of existing analytical techniques for better model fitting and analysis.
