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Linear Response Estimators for Singular Statistical Models

We define susceptibilities as a measure of the response of an observable quantity of a parameterized statistical model to a perturbation of the data for a general class of observables. We define estimators for these susceptibilities as statistics in a sequence of n data-points and prove that these estimators are consistent and asymptotically unbiased in the large n regime.

Authors
Chris Elliott, Daniel Murfet
Timaeus
Published
May 8, 2026

Build on our work

Our tools for susceptibilities, local learning coefficients, and SGMCMC sampling are open source in the devinterp library.

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Timaeus has merged into Resolution. Open roles are now posted on the Resolution careers page.