{ "id": "2003.09671", "version": "v1", "published": "2020-03-21T14:43:45.000Z", "updated": "2020-03-21T14:43:45.000Z", "title": "On Information Plane Analyses of Neural Network Classifiers -- A Review", "authors": [ "Bernhard C. Geiger" ], "comment": "8 pages; under review", "categories": [ "cs.LG", "cs.CV", "cs.IT", "math.IT", "stat.ML" ], "abstract": "We review the current literature concerned with information plane analyses of neural network classifiers. While the underlying information bottleneck theory and the claim that information-theoretic compression is causally linked to generalization are plausible, empirical evidence was found to be both supporting and conflicting. We review this evidence together with a detailed analysis how the respective information quantities were estimated. Our analysis suggests that compression visualized in information planes is not information-theoretic, but is rather compatible with geometric compression of the activations.", "revisions": [ { "version": "v1", "updated": "2020-03-21T14:43:45.000Z" } ], "analyses": { "keywords": [ "neural network classifiers", "information plane analyses", "information bottleneck theory", "information-theoretic compression", "geometric compression" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }