Self-supervised monocular depth estimation has become an appealing solution to the lack of ground truth labels, but its reconstruction loss often produces over-smoothed results across object boundaries and is incapable of handling occlusion explicitly. In this paper, we propose a new approach to leverage pseudo ground truth depth maps of stereo images generated from pretrained stereo matching methods. Our method is comprised of three subnetworks; monocular depth network, confidence network, and threshold network. The confidence map of the pseudo ground truth depth map is first estimated to mitigate performance degeneration by inaccurate pseudo depth maps. To cope with the prediction error of the confidence map itself, we also propose to leverage the threshold network that learns the threshold {\tau} in an adaptive manner. The confidence map is thresholded via a differentiable soft-thresholding operator using this truncation boundary {\tau}. The pseudo depth labels filtered out by the thresholded confidence map are finally used to supervise the monocular depth network. To apply the proposed method to various training dataset, we introduce the network-wise training strategy that transfers the knowledge learned from one dataset to another. Experimental results demonstrate superior performance to state-of-the-art monocular depth estimation methods. Lastly, we exhibit that the threshold network can also be used to improve the performance of existing confidence estimation approaches.