Large-kernel Convolutional Neural Networks for Wide Parameter-Space Searches of Continuous Gravitational Waves

The sensitivity of wide-parameter-space searches for continuous gravitational waves (CWs) is limited by their high computational cost. Deep learning is being studied as an alternative method to replace various aspects of a CW search. In previous work arXiv:2305.01057[gr-qc], new design principles were presented for deep neural network (DNN) search of CWs and such DNNs were trained to perform a targeted search with matched filtering sensitivity. In this paper, we adapt these design principles to build a DNN architecture for wide parameter-space searches in ten days of data from two detectors (H1 and L1). We train a DNN for each of the benchmark cases: six all-sky searches and eight directed searches at different frequencies in the search band of 20 - 1000 Hz. We compare our results to the DNN sensitivity achieved from arXiv:2005.04140[gr-qc] and find that our trained DNNs are more sensitive in all the cases. The absolute improvement in detection probability ranges from 6.5% at 20 Hz to 38% at 1000 Hz in the all-sky cases and from 1.5% at 20 Hz to 59.4% at 500 Hz in the directed cases. An all-sky DNN trained on the entire search band of 20 - 1000 Hz shows a high sensitivity at all frequencies providing a proof of concept for training a single DNN to perform the entire search. We also study the generalization of the DNN performance to signals with different signal amplitude, frequency and the dependence of the DNN sensitivity on sky-position.