{"work":{"id":"f9c879c8-ae3e-4396-b8bd-647d65636238","openalex_id":null,"doi":null,"arxiv_id":"1707.09564","raw_key":null,"title":"A PAC-Bayesian Approach to Spectrally-Normalized Margin Bounds for Neural Networks","authors":null,"authors_text":"Behnam Neyshabur, Srinadh Bhojanapalli, and Nathan Srebro","year":2017,"venue":"cs.LG","abstract":"We present a generalization bound for feedforward neural networks in terms of the product of the spectral norm of the layers and the Frobenius norm of the weights. The generalization bound is derived using a PAC-Bayes analysis.","external_url":"https://arxiv.org/abs/1707.09564","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T15:45:59.293185+00:00","pith_arxiv_id":"1707.09564","created_at":"2026-05-10T23:20:54.465237+00:00","updated_at":"2026-05-25T15:45:59.293185+00:00","title_quality_ok":true,"display_title":"A pac-bayesian approach to spectrally- normalized margin bounds for neural networks.arXiv preprint arXiv:1707.09564","render_title":"A pac-bayesian approach to spectrally- normalized margin bounds for neural networks.arXiv preprint arXiv:1707.09564"},"hub":{"state":{"work_id":"f9c879c8-ae3e-4396-b8bd-647d65636238","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":12,"external_cited_by_count":null,"distinct_field_count":5,"first_pith_cited_at":"2019-06-26T15:05:24+00:00","last_pith_cited_at":"2026-05-14T21:01:05+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-06-01T14:53:33.596232+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":1},{"context_role":"method","n":1}],"polarity_counts":[{"context_polarity":"background","n":1},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}