Abstract
Recent research in cognitive neuroscience has uncovered so-called neural manifolds that play a central role in explanations of behavior. Revealed through the use of a range of dimensionality reduction techniques, these manifolds are entities in low-dimensional spaces contained in high-dimensional neural spaces. In this paper, I explore a possible computational interpretation for the role of manifolds in cognition. I argue that manifolds provide evidence for what neural computations are performed. I then turn to argue that manifolds also provide evidence for how inputs are transformed into outputs during neural computation.
