{ "id": "2202.04513", "version": "v1", "published": "2022-02-09T15:24:30.000Z", "updated": "2022-02-09T15:24:30.000Z", "title": "The no-free-lunch theorems of supervised learning", "authors": [ "Tom F. Sterkenburg", "Peter D. Grünwald" ], "journal": "Synthese 199:9979-10015 (2021)", "doi": "10.1007/s11229-021-03233-1", "categories": [ "cs.LG" ], "abstract": "The no-free-lunch theorems promote a skeptical conclusion that all possible machine learning algorithms equally lack justification. But how could this leave room for a learning theory, that shows that some algorithms are better than others? Drawing parallels to the philosophy of induction, we point out that the no-free-lunch results presuppose a conception of learning algorithms as purely data-driven. On this conception, every algorithm must have an inherent inductive bias, that wants justification. We argue that many standard learning algorithms should rather be understood as model-dependent: in each application they also require for input a model, representing a bias. Generic algorithms themselves, they can be given a model-relative justification.", "revisions": [ { "version": "v1", "updated": "2022-02-09T15:24:30.000Z" } ], "analyses": { "keywords": [ "supervised learning", "no-free-lunch results presuppose", "no-free-lunch theorems promote", "machine learning algorithms equally lack", "learning algorithms equally lack justification" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }