Full-rank invariance conjecture for gradient-flow synaptic dynamics
Let X∈Rn×TX \in \mathbb{R}^{n \times T}X∈Rn×T satisfy CX≻0C_X \succ 0CX≻0, and let W(t)W(t)W(t) solve the continuous-time gradient-flow feedforward synaptic dynamics … Write Rm,n\mathcal{R}_{m,n}Rm,n for the…
Full-rank conjecture for optimal Hankel rank-constrained approximations
Hankel rank conjecture. Then