{ "id": "2407.03295", "version": "v1", "published": "2024-07-03T17:29:17.000Z", "updated": "2024-07-03T17:29:17.000Z", "title": "Embedding-Projection Correspondences for the estimation of the Gromov-Hausdorff distance", "authors": [ "Facundo Mémoli", "Zane T. Smith" ], "comment": "working paper", "categories": [ "math.MG" ], "abstract": "This writeup describes ongoing work on designing and testing a certain family of correspondences between compact metric spaces that we call \\emph{embedding-projection correspondences} (EPCs). Of particular interest are EPCs between spheres of different dimension.", "revisions": [ { "version": "v1", "updated": "2024-07-03T17:29:17.000Z" } ], "analyses": { "subjects": [ "53C23" ], "keywords": [ "gromov-hausdorff distance", "embedding-projection correspondences", "estimation", "compact metric spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }