2022
DOI: 10.1016/j.neuroimage.2022.119728
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Feature-space selection with banded ridge regression

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Cited by 48 publications
(75 citation statements)
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“…However, because different features may have substantially different predictive powers, and may correlate with one another to different extents, single regularization parameter may be insufficient to allow for accurate TRF estimation of all features in a model (Nunez-Elizalde et al, 2019). To account for this issue, banded ridge regression methods have recently been introduced, which apply individualized ridge parameters to different features in a model (Nunez-Elizalde et al, 2019; Dupré la Tour et al, 2022). This method was not used in the present work, as we chose to build our analysis pipelines using publicly available tools (i.e., mTRF toolbox), which did not have this functionality implemented, yet (but see Crosse et al, 2021 for the description of forthcoming banded ridge regression functionality).…”
Section: Discussionmentioning
confidence: 99%
“…However, because different features may have substantially different predictive powers, and may correlate with one another to different extents, single regularization parameter may be insufficient to allow for accurate TRF estimation of all features in a model (Nunez-Elizalde et al, 2019). To account for this issue, banded ridge regression methods have recently been introduced, which apply individualized ridge parameters to different features in a model (Nunez-Elizalde et al, 2019; Dupré la Tour et al, 2022). This method was not used in the present work, as we chose to build our analysis pipelines using publicly available tools (i.e., mTRF toolbox), which did not have this functionality implemented, yet (but see Crosse et al, 2021 for the description of forthcoming banded ridge regression functionality).…”
Section: Discussionmentioning
confidence: 99%
“…For this purpose, we constructed whole-brain voxel-wise encoding models for the following four settings (see Figure 2 bottom and Appendix A for implementation details): We first built linear models to predict voxel activity from the following three latent representations of the LDM independently: z, c , and z c . Although z c and z produce different images, they result in similar prediction maps on the cortex (see 4.2.1). Therefore, we incorporated them into a single model, and further examined how they differ by mapping the unique variance explained by each feature onto cortex [23]. To control the balance between the appearance of the original image and the semantic fidelity of the conditional text, we varied the level of noise added to z .…”
Section: Methodsmentioning
confidence: 99%
“…Fitting a joint model with ridge regression allows considering the complementarity of different feature spaces but subjects all models (feature sets) to a unique regularization. As the optimal regularization required when fitting each individual feature space may differ (since it depends, among others, on factors such as number of features and features covariances) (27), fitting a joint model with one regularization parameter may be suboptimal and can be extended to banded ridge regression. In banded ridge regression, separate regularization per parameters for each feature space are optimized, which ultimately improves model performance by reducing spurious correlations and ignoring non-predictive feature spaces (27, 28).…”
Section: Methodsmentioning
confidence: 99%
“…As the optimal regularization required when fitting each individual feature space may differ (since it depends, among others, on factors such as number of features and features covariances) (27), fitting a joint model with one regularization parameter may be suboptimal and can be extended to banded ridge regression. In banded ridge regression, separate regularization per parameters for each feature space are optimized, which ultimately improves model performance by reducing spurious correlations and ignoring non-predictive feature spaces (27, 28). In the present work we used banded ridge regression to fit the three encoding models and performed a decomposition of the variance explained by each of the models following established procedures (27).…”
Section: Methodsmentioning
confidence: 99%