In [19] the weight vector is computed using a gradient-descent formulation, which uses bounds on the expected generalization error of the SVM.
Debate, argument, and rhetoric were, in Jinsai's view, little more than empty formulations reflecting descent into the same kind of emptiness that so characterized the Buddhist teachings one sought to oppose.
Recently, to perform fast and better classification, Jianxin Wu [79] introduces PmSVM, which solves a dual SVM formulation using a coordinate descent approach.
We use the columnwise coordinate descent to solve the matrix decomposition represented formulation, which empirically leads to a similar solution to the group sparsity formulation.
They then use the gradient descent method to solve the variational level set formulation.
Three training model formulations including Levenberg-Marquardt (LM), gradient descent, and Bayesian regularization were employed for training the ANN models.
The CHI model could be efficiently solved by using the block coordinate descent algorithm that is illustrated in Appendix: "CHI model formulation" section.
Next, a constrained gradient descent (GD) algorithm is deployed to solve the simplified formulation (Problem 2) using the convex solution as a starting point.
In this sense, while the notion of reward is redundant in the free energy formulation, and physiological stability is achieved through gradient descent function, homeostasis in our model can only be achieved through computing reward.
The introduction of adjoint states allows to iteratively optimize the feedback matrix using a gradient descent method in a distributed way, based on a finite horizon formulation.
In their formulation, the learning rule is derived as a gradient descent rule on an objective function that is cubic in the nonlinear response.
