Differentiating Functions of the Jacobian with Respect to the Weights

نویسندگان

  • Gary William Flake
  • Barak A. Pearlmutter
چکیده

Abstract For many problems, the correct behavior of a model depends not only on its input-output mapping but also on properties of its Jacobian matrix, the matrix of partial derivatives of the model’s outputs with respect to its inputs. We introduce the J-prop algorithm, an efficient general method for computing the exact partial derivatives of a variety of simple functions of the Jacobian of a model with respect to its free parameters. The algorithm applies to any parametrized feedforward model, including nonlinear regression, multilayer perceptrons, and radial basis function networks.

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تاریخ انتشار 1999