Discretisation

Appears in 1 paper

The process of converting a continuous-time differential equation (dx/dt = Ax + Bu) into a discrete recurrence (x_t = Āx_{t-1} + B̄u_t).

As used in Paper 21 — Mamba: Linear-Time Sequence Modeling with Selective State Spaces →

The process of converting a continuous-time differential equation (dx/dt = Ax + Bu) into a discrete recurrence (x_t = Āx_{t-1} + B̄u_t). The bilinear (or zero-order hold) method: Ā = exp(Δ·A), B̄ = Δ·B. Critical for Mamba to work in practice.