{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-11521060","patent":{"patent_number":"US-11521060","title":"Tensor-based computing system for quaternion operations","assignee":null,"inventors":[],"filing_date":"2018-05-31T00:00:00.000Z","publication_date":"2022-12-06T00:00:00.000Z","cpc_codes":["G06N","G06F","G06F","G06F","G06N","G06N","G06N","G06N","G06N","G06N"],"num_claims":24,"abstract":"A machine-learning system includes a quaternion (QT) computation engine. Input data to the QT computation engine includes quaternion values, each comprising a real component and three imaginary components, represented as a set of real-valued tensors. A single quaternion value is represented as a 1-dimensional real-valued tensor having four real-valued components, wherein a first real-valued component represents the real component of the single quaternion value, and wherein a second, a third, and a fourth real-valued component each respectively represents one of the imaginary components. A quaternion-valued vector having a size N is represented as a 2-dimensional real-valued tensor comprising N 1-dimensional real-valued tensors. A quaternion-valued matrix having N×M dimensions is represented as a 3-dimensional real-valued tensor comprising M 2-dimensional real-valued tensors comprising N 1-dimensional real-valued tensors."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Tensor-based computing system for quaternion operations","description":"A machine-learning system includes a quaternion (QT) computation engine. Input data to the QT computation engine includes quaternion values, each comprising a real component and three imaginary compon","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-11521060","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-11521060","citation_suggestion":"Patentable. \"Tensor-based computing system for quaternion operations\" (US-11521060). https://patentable.app/patents/US-11521060","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-11521060","json":"https://patentable.app/api/llm-context/US-11521060","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-31T07:59:49.793Z"}