{ "id": "cond-mat/0001100", "version": "v1", "published": "2000-01-10T11:46:38.000Z", "updated": "2000-01-10T11:46:38.000Z", "title": "Finite Size Scaling of Perceptron", "authors": [ "Elka Korutcheva", "N. Tonchev" ], "comment": "7 pages, 1 figure, Submitted to Phys.Lett.A", "categories": [ "cond-mat.stat-mech" ], "abstract": "We study the first-order transition in the model of a simple perceptron with continuous weights and large, bit finite value of the inputs. Making the analogy with the usual finite-size physical systems, we calculate the shift and the rounding exponents near the transition point. In the case of a general perceptron with larger variety of inputs, the analysis only gives bounds for the exponents.", "revisions": [ { "version": "v1", "updated": "2000-01-10T11:46:38.000Z" } ], "analyses": { "keywords": [ "finite size scaling", "bit finite value", "first-order transition", "simple perceptron", "larger variety" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000cond.mat..1100K" } } }