We all know that calculus courses such as 18.01 and 18.02 are univariate and vector calculus, respectively. Modern applications such as machine learning and large-scale optimization require the next ...

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3) Linearization: Compute the Jacobian matrix, which provides a linearization of the dynamics around the steady ... In the worst case we can compute the derivatives by finite difference methods. In ...

There is currently no systematic way of learning the Jacobian matrix using DNNs and deploy it online for task space control in a stable manner without additional offline training for each task. This ...

Derivatives, financial instruments whose value derives from an underlying asset, serve diverse purposes in global markets. They enable investors to hedge risks, speculate on price movements and ...

Financial derivatives are financial instruments that are linked to a specific financial instrument or indicator or commodity, and through which specific financial risks can be traded in financial ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...