exp_stdp_pre_kernel

exp_stdp_pre_kernel(diff: Tensor, learning_rate: float, time_constant: float, **kwargs) → Tensor

Returns the presynaptic update for exponential spike-timing dependent plasticity.

\[K_\text{pre}(t_\Delta(t)) = \eta \exp\left(-\frac{\lvert t_\Delta(t) \rvert}{\tau} \right) [t_\Delta(t) < 0]\]

Parameters:

• diff (torch.Tensor) – duration of time, possibly adjusted, between presynaptic and postsynaptic spikes, \(t_\Delta(t)\), in \(\text{ms}\).

• learning_rate (float) – learning rate for update component, \(\eta\).

• time_constant (float) – time constant of exponential decay for update component, \(\tau\), in \(\text{ms}\).

Returns:

unreduced update component.

Return type:

torch.Tensor

Note

See SpikeTimeHalfKernel for more information on the expected inputs and outputs.