Within- vs outside-manifold learning
A series of closed-loop BCI experiments used the decoder as a controllable causal probe of neural flexibility. After fitting a decoder to a subject's existing neural manifold, the experimenters perturbed the mapping in two ways: within-manifold perturbations rearrange how existing manifold dimensions map to the cursor, whereas outside-manifold perturbations demand activity patterns off the manifold. Subjects learned within-manifold perturbations quickly and within a single session, but outside-manifold perturbations were markedly harder, revealing that the manifold is a genuine short-timescale constraint on what population patterns can readily be produced.
Follow-up work showed the picture is not fixed. With extended practice over many days, subjects can eventually learn some outside-manifold mappings by generating new activity patterns, and skill acquisition often proceeds by first re-associating existing patterns before, more slowly, expanding the repertoire. For BCI design the lessons are practical: decoders that stay within a user's manifold are easier to control and adapt, restricting a person to their current manifold caps short-term performance, and the manifold itself can be reshaped by learning but only gradually — which bears directly on how aggressively a decoder should be re-mapped during training.
These perturbation studies are among the few results that establish causation, not just correlation, between population structure and behaviour, because the decoder that defines the manifold is under experimental control.