Computer-Implemented Symbolic Differentiation Using First-Order Retraction

Computer-Implemented Symbolic Differentiation Using First-Order Retraction

A computer accesses an input element storage and an output element storage. The computer accesses a symbolic expression for output element storage as a function of the input element storage. The computer computes, using a symbolic computation engine of the computer, a symbolic expression for the tan...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Pattison, Dominic William, Solliday, Bradley Matthew, Kennedy, Ryan David, Zhu, Jack Louis, Bucki, Nathan Leo, Sun, Yixiao, Holtz, Kristen Marie, Miller, Aaron Christopher, Martirosyan, Hayk, VanderMey, Josiah Timothy, Wang, Samuel Shenghung, Cross, Gareth Benoit, Zheng, Harrison, Tomic, Teodor, Henry, Peter Benjamin
Format: Patent
Sprache:eng
Schlagworte:
CALCULATING
COMPUTING
CONTROLLING
COUNTING
ELECTRIC DIGITAL DATA PROCESSING
PHYSICS
REGULATING
SYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
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Beschreibung
Zusammenfassung:A computer accesses an input element storage and an output element storage. The computer accesses a symbolic expression for output element storage as a function of the input element storage. The computer computes, using a symbolic computation engine of the computer, a symbolic expression for the tangent space Jacobian of the output element storage with respect to an input tangent space. The computer outputs the computed expression.