(A) Distance matrix based on the distances between the category centers in the (10D) latent PCs space. (B) Relationship between perceptual distances (y-axis) and distances between categories in the latent PCs space (x-axis). The black dashed line indicates the linear regression line. (C) Same as (B), but based on the rating experiments from Baumgartner et al., 2013, for the touch-only (black data points) and vision-only (gray data points) conditions. Again, the dashed lines represent regression lines, and in black and gray for the touch-only and the vision-only conditions, respectively. (D) Effect of compression. Correlation between distances in the latent PCs space and perceptual distances (black y-axis), reconstruction performance (blue y-axis), and classification performance (orange y-axis), as a function of compression rate (x-axis). Black line and data points indicate Pearson’s r correlation coefficient, and orange line and data points indicate classification accuracy (%). The blue lines represent the reconstruction performance computed as R2 and expressed in percentage of explained variance; the dashed blue line represents the reconstruction performance for the training data set, and the continuous line for the validation data set. The horizontal orange dashed line represents the between-participants agreement expressed as classification accuracy. The gray shaded area indicates the compression level corresponding to the Autoencoder used for the analyses depicted in Figure 3 and Figure 4A–C.