Fig. 3.

Commutative diagram for temporal receptive field responses under temporal scaling transformations of the temporal domain. Such transformations describe the effect of events occurring slower or faster in the world. (The commutative diagram should be read from the lower left corner to the upper right corner, and means that irrespective of whether the image is first convolved with a temporal smoothing kernel and then subject to temporal scaling transformation, or whether the temporal signal is first subject to a temporal scaling transformation and then convolved with a temporal smoothing kernel, we should get the same result provided that the temporal scale parameters $\tau$ and ${\tau }^{\prime }$ are properly matched to the relative temporal scaling factor S between the two temporal patterns)