Exactly. Regarding your remark about edge detectors: such self-organizing neural nets are organized into hierarchical layers, and early layers' units are going

Exactly. Regarding your remark about edge detectors: such self-organizing neural nets are organized into hierarchical layers, and early layers' units are going to learn to become detectors of statistically common components of the input image, in the same way as the initial layers of the visual system perform blob and edge detection (retina, lateral geniculate nucleus, V1). In mathematical terms, these early units learn the conditional principal components of the inputs. The layers that are built upon these detectors, if correctly organized, are going to build upon this initial abstraction and learn more complex features: for instance to find these these edges in relative positions (to each other). Eventually, up the abstraction chain, units detect such statistically frequent features as the shape of cat's ears (common in youtube videos, I imagine), etc... (Sorry I wrote that fast, I hope it's understandable)