Computer-implemented computation of tangent-space jacobian
US12282524B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Jan 27, 2023 |
| Grant date | Apr 22, 2025 |
| Priority date | — |
| Expiry date | Aug 27, 2043 |
Classification
- Technology area (CPC B)Performing Operations; Transporting
- CPC primaryB64U2201/20
- WIPO fieldControl
- WIPO sectorInstruments
Abstract
A computer accesses a first symbolic expression for an output matrix as a function of an input matrix at a computing device comprising processing circuitry and memory. The computer computes a first Jacobian of the input matrix with respect to an input tangent space. The computer computes a second Jacobian of the output matrix with respect to the input matrix. The computer computes a third Jacobian of an output tangent space with respect to the input matrix. The computer applies symbolic matrix multiplication to the first Jacobian, the second Jacobian, and the third Jacobian to obtain a second symbolic expression for the output tangent space with respect to the input tangent space. The computer provides a representation of the second symbolic expression, the second symbolic expression representing a computed tangent-space Jacobian.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.