How a reservoir encodes input history jointly in density and geometric degrees of freedom remains insufficiently understood. We address this mechanistic gap with a continuous density on an internal manifold coupled to an independently evolving Chern-Simons (CS) connection through a conserved current. On the same intern...
Jyotiranjan Beuria, Venkatesh H. Chembrolu· 0 citations
We investigate whether a Chern-Simons (CS) context reservoir is a viable computational substrate and whether evolving its gauge connection provides a benefit beyond simpler mechanisms. The reservoir state is a density fluctuation on a two-dimensional context manifold, whose drift is generated by a density-sourced conne...
Jyotiranjan Beuria, Venkatesh H. Chembrolu· 0 citations
Results show that the main functional impact is on self-healing: after obstacle-induced fragmentation, the closed slow-fast loop accelerates restoration of spatial connectedness, whereas an uncoupled slow trace behaves like a memoryless controller.
A classical Lindblad-inspired multi-timescale reservoir is introduced that bridges open-system dynamical principles with structured state-space modeling and offers an interpretable recurrent architecture in which mixing, memory, and stability are explicit and independently tunable design variables.
Jyotiranjan Beuria, Amit K. Shukla· 1 citation
We use cookies to run the site and, with your consent, for analytics and to show ads.
See our Cookie Policy.