/* Context for Bounded Regularized Gauss-Newton algorithm. Extended with L1-regularizer with a linear transformation matrix D: 0.5*||Ax-b||^2 + lambda*||D*x||_1 When D is an identity matrix, we have the classic lasso, aka basis pursuit denoising in compressive sensing problem. */ #if !defined(__TAO_BRGN_H) #define __TAO_BRGN_H #include <../src/tao/bound/impls/bnk/bnk.h> /* BNLS, a sub-type of BNK, is used in brgn solver */ typedef struct { PetscErrorCode (*regularizerobjandgrad)(Tao,Vec,PetscReal*,Vec,void*); PetscErrorCode (*regularizerhessian)(Tao,Vec,Mat,void*); void *reg_obj_ctx; void *reg_hess_ctx; Mat H,Hreg,D; /* Hessian, Hessian for regulization part, and Dictionary matrix have size N*N, and K*N respectively. (Jacobian M*N not used here) */ Vec x_old,x_work,r_work,diag,y,y_work; /* x, r=J*x, and y=D*x have size N, M, and K respectively. */ Tao subsolver,parent; PetscReal lambda,epsilon; /* lambda is regularizer weight for both L2-norm Gaussian-Newton and L1-norm, ||x||_1 is approximated with sum(sqrt(x.^2+epsilon^2)-epsilon)*/ PetscInt reg_type; } TAO_BRGN; #endif /* if !defined(__TAO_BRGN_H) */