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Noah D. Brenowitz, Tom Beucler, Michael Pritchard, and Christopher S. Bretherton

( Beucler et al. 2018 ; Kuang 2018 , 2010 ; Herman and Kuang 2013 ). These linearized response functions (LRFs) are typically computed by perturbing inputs in some basis and reading the outputs (appendix B of Beucler 2019 ) or by perturbing the forcing and inverting the corresponding operator ( Kuang 2010 ). If the input/output bases are of finite dimension, then the LRF can be represented by a matrix. LRFs can also be directly computed from data, for instance, by fitting a linear regression model

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