It is not easy to investigate imagery perceptual learning since imagery is not easy to control. We controlled for unspecific learning effects by asking observers to perform a length discrimination task, where observers did not imagine the central line to be offset. There was no transfer to the bisection task, a result which rules out that the mere presentation of the bisection stimulus is sufficient for learning (
Experiment 4). One may argue that in the
Experiment 4, the horizontal flanking lines interfered with the bisection stimulus (e.g., a crowding effect). We tested this hypothesis by comparing bisection thresholds for bisection stimuli with and without horizontal flanking lines. Thresholds in both conditions did not differ (
Supplementary Material). We need to mention that another control experiment has led to significant transfer. Participants indicated which of the two outer lines was of higher luminance. Performance improved for this task and transferred to the bisection task (
Supplementary Material). One explanation is that indeed perceptual learning is rather unspecific. The other explanation is that the luminance difference has led to attraction of the center line towards one of the outer lines, as we show in a control experiment (
Supplementary Material 1.2). Similar effects of attraction and repulsion caused by manipulation of luminance were previously found with Vernier (Badcock & Westheimer,
1985; Westheimer & McKee,
1977) and other stimuli (Bulatov, Bulatova, & Surkys,
2012; Morgan, Ward, & Cleary,
1994; Whitaker, Mcgraw, Pacey, & Barrett,
1996), strongly supporting the theory of spatial pooling by light. Learning with imagined and identical stimuli cannot be explained by classic neural network models, in which learning is purely stimulus driven (for a review, see Tsodyks & Gilbert,
2004). Learning with imagined and identical stimuli cannot be explained by models of hyperacuity (Klein & Levi,
1985; Wilson,
1986) because these models extract variations of the stimuli (left vs. right offset), which is missing in imagery learning and learning with identical stimuli. How can imagery learning be explained? Imagery enhances presynaptic neurons similarly to the activation generated by stimuli (Kosslyn et al.,
1995). Likewise, it was shown that attention can boost activity in primary visual cortex even before stimuli presentation (Gandhi, Heeger, & Boynton,
1999; Silver, Ress, & Heeger,
2007). Hence, these presynaptic activations may be used in classic learning models to learn. Another mechanism is internal noise reduction (Amitay et al.,
2013; Amitay, Zhang, Jones, & Moore,
2014; Micheyl, McDermott, & Oxenham,
2009). For example, there might be noise sources in the brain, which may unspecifically add noise to neurons involved in the task. Inhibiting these neurons can thus lead to improvements in learning and to transfer, which we often observe in imagery learning but not in training with proper stimuli. When such factors are important in learning with identical and imagined stimuli, then they might be important as well in learning with proper stimuli.