title: Cubic Spline Smoothing Compensation for Irregularly Sampled Sequences
abstract: The marriage of recurrent neural networks and neural ordinary differential networks (ODE-RNN) is effective in modeling irregularly sampled sequences.
  While ODE produces the smooth hidden states between observation intervals, the RNN will trigger a hidden state jump when a new observation arrives and thus cause the interpolation discontinuity problem.
  To address this issue, we propose the cubic spline smoothing compensation, which is a stand-alone module upon either the output or the hidden state of ODE-RNN and can be trained end-to-end.
  We derive its analytical solution and provide its theoretical interpolation error bound.
  Extensive experiments indicate its merits over both ODE-RNN and cubic spline interpolation.
authors: Jing Shi Jing Bi Yingru Liu Chenliang Xu
hIndex: Chenliang Xu 25