SourceParsing neural dynamics with infinite recurrent switching linear dynamical systems
On the extended NASCAR synthetic task, where the true number of discrete states shifts from 4 to 6 mid-trajectory, the RS LDS model (with k=6 allocated) still maintains only 4 active states after the dynamics switch, as seen in its most-likely discrete state trajectories. On real IBL mouse electrophysiology data, the RS LDS shows much smaller fluctuations in the number of occupied states per trial (spline r²=0.16) compared to the IRSLDS (r²=0.46), indicating it misses trial-varying structure in state usage. The limitation is the fixed cardinality of the discrete state space in the HMM-based transition prior.