Novel stacked hybrid autoencoder for imputing LISA data gaps

The Laser Interferometer Space Antenna data stream will contain gaps with missing or unusable data due to antenna repointing, orbital corrections, instrument malfunctions, and unknown random processes. We introduce a new deep learning model to impute data gaps in the Laser Interferometer Space Antenna data stream. The stacked hybrid autoencoder combines a denoising convolutional autoencoder with a bidirectional gated recurrent unit. The denoising convolutional autoencoder is used to extract relevant features in the corrupted data, while the bidirectional gated recurrent unit captures the temporal dynamics of the gravitational-wave signals. We show for a massive black hole binary signal, corrupted by data gaps of various numbers and duration, that we yield an overlap of greater than 99.97% when the gaps do not occur in the merging phase and greater than 99% when the gaps do occur in the merging phase. However, if data gaps occur during merger time, we show that we get biased astrophysical parameter estimates, highlighting the need for ``protected periods,'' where antenna repointing does not occur during the predicted merger time.