c

scalation.minima

LassoAdmm

class LassoAdmm extends AnyRef

The LassoAdmm class performs LASSO regression using Alternating Direction Method of Multipliers (ADMM). Minimize the following objective function to find an optimal solutions for 'x'.

argmin_x (1/2)||Ax − b||_2^2 + λ||x||_1

A = data matrix b = response vector λ = weighting on the l_1 penalty x = solution (coefficient vector)

See also

euler.stat.yale.edu/~tba3/stat612/lectures/lec23/lecture23.pdf

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Instance Constructors

  1. new LassoAdmm(a: MatrixD, b: VectorD, λ: Double = 0.01)

    a

    the data matrix

    b

    the response vector

    λ

    the regularization l_1 penalty weight

Value Members

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  8. def fast_sthresh(v: VectorD, thr: Double): VectorD

    Return the fast soft thresholding function.

    Return the fast soft thresholding function.

    v

    the vector to threshold

    thr

    the threshold

  9. def finalize(): Unit
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  16. def solve(): VectorD

    Solve for 'x' using ADMM.

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