non-negative real number proportional to the amount of
denoising to perform. Meta parameter penalizing the residual sum of squares by
the L1 norm of the wavelet coefficients. For compression, lambda=0.
OPTIONAL ARGUMENTS:
...
additional argument such as
wavelet or
n.levels used by
analysis.
analysis.name
character string indicating which wavelet transform to use, such as
dwt,
nd.dwt,
wp.table,
cp.table and their 2-D versions.
x
object of type obtained from
analysis or a character string: "mof"
(method of frame estimate) is available. Initial guess of the wavelet
coefficients for the iterative interior point algorithm.
perturbation
perturbation parameter defined in Chen, Donoho and Saunders (1996).
max.iter
real number giving the upper bound on the number of interior point iterations
to perform.
opt.tol
convergence threshold for the duality gap. Also perturbation paremeter delta
for the compression case (lambda=0) defined in Chen, Donoho and Saunders
(1996).
fea.tol
primal and dual feasibility convergence threshold.
cg.tol
convergence treshold for the conjugate gradient solver.
cg.max.iter
real number giving the upper bound on the number of iterations to perform by
the conjugate gradient solver.
verbose
logical flag indicating whether or not information should be printed on the
screen at each interior point interation.
VALUE:
coef.hat
estimated wavelet coefficients. Minimizes the basis pursuit objective function
(possibly perturbed if
perturbation is non-zero).
s.hat
real vector of estimated signal.
iter.history
real array of saved iteration information.
converged
logical flag indicating whether or not the algorithm converged before stopping
the iterations.
DETAILS:
see Chen, Donoho and Saunders (1996).
REFERENCES:
Chen S., Donoho, D.L., and Saunders, M. (1996). Atomic decomposition by basis
pursuit. Technical report, Department of Statistics, Stanford University.