norse.torch.functional.lif_ex_current_encoder

norse.torch.functional.lif_ex_current_encoder(input_current: Tensor, voltage: Tensor, p: LIFExParameters = (tensor(0.5000), tensor(200.), tensor(100.), tensor(0.), tensor(1.), tensor(0.), 'super', 100.0), dt: float = 0.001) → Tuple[Tensor, Tensor]

Computes a single euler-integration step of a leaky integrator adapted from https://neuronaldynamics.epfl.ch/online/Ch5.S2.html. More specifically it implements one integration step of the following ODE

\[\begin{split}\begin{align*} \dot{v} &= 1/\tau_{\text{mem}} \left(v_{\text{leak}} - v + i + \Delta_T exp\left({{v - v_{\text{th}}} \over {\Delta_T}}\right)\right) \\ \dot{i} &= -1/\tau_{\text{syn}} i \end{align*}\end{split}\]

Parameters:

input (torch.Tensor): the input current at the current time step voltage (torch.Tensor): current state of the LIFEx neuron p (LIFExParameters): parameters of a leaky integrate and fire neuron dt (float): Integration timestep to use