Abstract
Neural responses are often highly heterogeneous non-linear functions of multiple task variables, a signature of a high-dimensional geometry of the neural representations. We studied the representational geometry in the somatosensory cortex of mice trained to report the curvature of objects using their whiskers. High-speed videos of the whisker movements revealed that the task can be solved by linearly integrating multiple whisker contacts over time. However, the neural activity in somatosensory cortex reflects a process of non-linear integration of spatio-temporal features of the sensory inputs. Although the responses at first appear disorganized, we could identify an interesting structure in the representational geometry: different whisker contacts are disentangled variables represented in approximately, but not fully, orthogonal subspaces of the neural activity space. The observed geometry allows linear readouts to perform a broad class of tasks of different complexities without compromising the ability to generalize to novel situations.
Competing Interest Statement
The authors have declared no competing interest.
Footnotes
In this revision we analyze in greater detail the geometry of the representations in S1 during the whisker-based discrimination task. The geometry in S1 can be characterized by a low-dimensional scaffold with perturbations towards a higher-dimensional representation that allows flexible behavior while maintaining a good ability to generalize. We also re-organized the figures and added some panels to make the main message more clear. Introduction and discussion were also updated to accommodate the new results.