A distributed asynchronous relaxation algorithm for the assignment problem

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A Point Set Generation Network for 3D Object Reconstruction from a Single Image (2016, methodology): “We therefore implement a (1 + ǫ) approximation scheme given by [2].”
DeepSDF: Learning Continuous Signed Distance Functions for Shape Representation (2019, methodology): “Although the metric is commonly approximated in the deep learning literature [19] by distributed approximation schemes [5] for speed during training, we compute the metric accurately for evaluation using a more modest number of point samples (500) using [18].”
Pix3D: Dataset and Methods for Single-Image 3D Shape Modeling (2018, methodology): “In practice, calculating the exact EMD value is computationally expensive; we instead use a (1 + ) approximation algorithm [3].”
Point Cloud GAN (2018, methodology): “Instead, we consider an approximation provided by Bertsekas (1985).”
PCN: Point Completion Network (2018, methodology): “In practice, finding the optimal φ is too expensive, so we use an iterative (1 + ) approximation scheme [4].”