Spline Layer

Constructs a Spline Layer. At a high-level, it performs the following:

  1. Takes as input a one-dimensional training dataset, a time span, a time step and

an interpolation method.

  1. During training, adjusts the values of the function at multiples of the time-step

such that the curve interpolated through these points has minimum loss on the corresponding one-dimensional dataset.

DiffEqFlux.SplineLayerType

Constructs a Spline Layer. At a high-level, it performs the following:

  1. Takes as input a one-dimensional training dataset, a time span, a time step and

an interpolation method.

  1. During training, adjusts the values of the function at multiples of the time-step

such that the curve interpolated through these points has minimum loss on the corresponding one-dimensional dataset.

SplineLayer(time_span,time_step,spline_basis,saved_points=nothing)

Arguments:

  • time_span: Tuple of real numbers corresponding to the time span.
  • time_step: Real number corresponding to the time step.
  • spline_basis: Interpolation method to be used yb the basis (current supported

interpolation methods: ConstantInterpolation, LinearInterpolation, QuadraticInterpolation, QuadraticSpline, CubicSpline).

  • 'saved_points': values of the function at multiples of the time step. Initialized by default

to a random vector sampled from the unit normal.

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