{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/a-generative-product-of-filters-model-of","title":"A Generative Product-of-Filters Model of Audio","arxiv_id":"1312.5857","date":"2013-12-20","proceeding":null,"authors":["Dawen Liang","Matthew D. Hoffman","Gautham J. Mysore"],"abstract":"We propose the product-of-filters (PoF) model, a generative model that\ndecomposes audio spectra as sparse linear combinations of \"filters\" in the\nlog-spectral domain. PoF makes similar assumptions to those used in the classic\nhomomorphic filtering approach to signal processing, but replaces hand-designed\ndecompositions built of basic signal processing operations with a learned\ndecomposition based on statistical inference. This paper formulates the PoF\nmodel and derives a mean-field method for posterior inference and a variational\nEM algorithm to estimate the model's free parameters. We demonstrate PoF's\npotential for audio processing on a bandwidth expansion task, and show that PoF\ncan serve as an effective unsupervised feature extractor for a speaker\nidentification task.","url_abs":"http://arxiv.org/abs/1312.5857v5","url_pdf":"http://arxiv.org/pdf/1312.5857v5.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"a-generative-product-of-filters-model-of","repo_url":"https://github.com/dawenl/pof","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"speaker-identification","task_name":"Speaker Identification"},{"task_slug":"model","task_name":"model"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}