11. In quasi-Newton methods, the Hessian matrix of second derivatives doesn't need to be evaluated directly. 12. Using this score function and Hessian matrix , the partial likelihood can be maximized using the Newton-Raphson algorithm. 13. The Hessian matrix and the adjoint are required for four-dimensional variational data assimilation ( 4D-Var ). 14. The Hessian matrix was developed in the 19th century by the German mathematician Ludwig Otto Hesse and later named after him. 15. The difference is that the measure for thresholding is computed from the Hessian matrix instead of a second-moment matrix. 16. See Hessian matrix # Bordered Hessian for a discussion that generalizes these rules to the case of equality-constrained optimization. 17. The graph colouring techniques explore sparsity patterns of the Hessian matrix and cheap Hessian vector products to obtain the entire matrix. 18. However, at each individual scale, the Hessian affine detector chooses interest points based on the Hessian matrix at that point: 19. Special cases include the Monge Amp�re equation and Poisson's equation ( the Laplacian being the trace of the Hessian matrix ). 20. I'm not 100 % certain I am using the terms " Hessian Matrix " and " Information Matrix " exactly as intended.
