{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9753893","patent":{"patent_number":"US-9753893","title":"Joint algorithm for sampling and optimization and natural language processing applications of same","assignee":null,"inventors":[],"filing_date":"2012-06-18T00:00:00.000Z","publication_date":"2017-09-05T00:00:00.000Z","cpc_codes":["G06F","G06F","G06F"],"num_claims":16,"abstract":"In rejection sampling of a function or distribution p over a space X, a proposal distribution q(n) is refined responsive to rejection of a sample x*εX to generate a refined proposal distribution q(n+1) selected to satisfy the criteria p(x)≦q(n+1)(x)≦q(n)(x) and q(n+1)(x*)<q(n)(x*). In a sampling mode, the sample x* is obtained by random sampling of the space X, the rejection sampling accepts or rejects x* based on comparison of a ratio p(x*)/q(x*) with a random draw, and the refined proposal distribution q(n+1) is selected to minimize a norm ∥q(n+1)∥α where α<∞. In an optimization mode, the sample x* is obtained such that q*=q(n)(x*) maximizes q(n) over the space X, the rejection sampling accepts or rejects x* based on a difference between or ratio of q* and p(x*), and the refined proposal distribution q(n+1) is selected to minimize a norm ∥q(n+1)∥∞=max{q(n+1)(x)}."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Joint algorithm for sampling and optimization and natural language processing applications of same","description":"In rejection sampling of a function or distribution p over a space X, a proposal distribution q(n) is refined responsive to rejection of a sample x*εX to generate a refined proposal distribution q(n+1","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9753893","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9753893","citation_suggestion":"Patentable. \"Joint algorithm for sampling and optimization and natural language processing applications of same\" (US-9753893). https://patentable.app/patents/US-9753893","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9753893","json":"https://patentable.app/api/llm-context/US-9753893","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T09:17:48.857Z"}