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@ -10,11 +10,15 @@ from engines import w_simpls,pls,bridge,pca
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from cx_utils import m_shape
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def w_pls_cv_val(X, Y, amax, n_blocks=None, algo='simpls'):
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"""Returns and RMSEP for pls tailored for wide X.
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"""Returns rmsep and aopt for pls tailored for wide X.
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comments:
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-- X, Y inputs need to be centered (fixme: check)
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"""
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k, l = m_shape(Y)
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PRESS = zeros((l, amax+1), dtype='f')
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# X,Y are centered0
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if n_blocks==None:
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n_blocks = Y.shape[0]
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XXt = dot(X, X.T)
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@ -29,7 +33,7 @@ def w_pls_cv_val(X, Y, amax, n_blocks=None, algo='simpls'):
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That = dot(Doi, dot(U, inv(triu(dot(H.T,U))) ))
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else:
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raise NotImplementedError
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#Yhat = empty((amax, k, l),dtype='<f8')
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Yhat = []
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for j in range(l):
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TQ = dot(That, triu(dot(Q[j,:][:,newaxis], ones((1,amax)))) )
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@ -41,15 +45,21 @@ def w_pls_cv_val(X, Y, amax, n_blocks=None, algo='simpls'):
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aopt = find_aopt_from_sep(rmsep)
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return rmsep, aopt
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def pls_val(X, Y, amax=2, n_blocks=10,algo='pls'):
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def pls_val(X, Y, amax=2, n_blocks=10, algo='pls', metric=None):
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""" Validation results of pls model.
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comments:
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-- X, Y inputs need to be centered (fixme: check)
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"""
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k, l = m_shape(Y)
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PRESS = zeros((l, amax+1), dtype='<f8')
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EE = zeros((amax, k, l), dtype='<f8')
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Yhat = zeros((amax, k, l), dtype='<f8')
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# X,Y are centered
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V = pls_gen(X, Y, n_blocks=n_blocks, center=True, index_out=True)
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V = pls_gen(X, Y, n_blocks=n_blocks, center=True, index_out=True, metric=metric)
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for Xin, Xout, Yin, Yout, out in V:
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ym = -sum(Yout,0)[newaxis]/Yin.shape[0]
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Yin = (Yin - ym)
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@ -73,13 +83,19 @@ def pls_val(X, Y, amax=2, n_blocks=10,algo='pls'):
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def pca_alter_val(a, amax, n_sets=10, method='diag'):
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"""Pca validation by altering elements in X.
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comments:
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-- may do all jk estimates in this loop
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"""
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# todo: it is just as easy to do jk-estimates her as well
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V = diag_pert(a, n_sets, center=True, index_out=True)
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sep = empty((n_sets, amax), dtype='f')
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for i, (xi, ind) in enumerate(V):
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dat_i = pca(xi, amax, mode='detailed')
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Ti,Pi = dat_i['T'],dat_i['P']
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Ti, Pi = dat_i['T'],dat_i['P']
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for j in xrange(amax):
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Xhat = dot(Ti[:,:j+1], Pi[:,:j+1].T)
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a_sub = a.ravel().take(ind)
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@ -100,7 +116,9 @@ def pca_cv_val(a, amax, n_sets):
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output:
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-- sep, (amax x m x n), squared error of prediction (press)
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-- aopt, guestimated optimal number of components
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"""
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m, n = a.shape
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E = empty((amax, m, n), dtype='f')
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xtot = (a**2).sum() # this needs centering
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@ -117,11 +135,12 @@ def pca_cv_val(a, amax, n_sets):
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sep.append(E[a].sum()/xtot)
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sep = array(sep)
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aopt = find_aopt_from_sep(sep)
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return sep, aopt
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def pls_jkW(a, b, amax, n_blocks=None, algo='pls', use_pack=False, center=True):
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def pls_jkW(a, b, amax, n_blocks=None, algo='pls', use_pack=True, center=True, metric=None):
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""" Returns CV-segments of paramter W for wide X.
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todo: add support for T,Q and B
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"""
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if n_blocks == None:
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@ -129,26 +148,28 @@ def pls_jkW(a, b, amax, n_blocks=None, algo='pls', use_pack=False, center=True):
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Wcv = empty((n_blocks, a.shape[1], amax), dtype='f')
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if use_pack:
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if use_pack and metric==None:
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u, s, inflater = svd(a, full_matrices=0)
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a = u*s
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V = pls_gen(a, b, n_blocks=n_blocks, center=center)
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V = pls_gen(a, b, n_blocks=n_blocks, center=center, metric=metric)
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for nn,(a_in, a_out, b_in, b_out) in enumerate(V):
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if algo=='pls':
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dat = pls(a_in, b_in, amax, 'loads', 'fast')
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elif algo=='bridge':
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dat = bridge(a_in, b_in, amax, 'loads', 'fast')
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W = dat['W']
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if use_pack:
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if use_pack and metric==None:
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W = dot(inflater.T, W)
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Wcv[nn,:,:] = W
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return Wcv
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def pca_jkP(a, aopt, n_blocks=None):
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def pca_jkP(a, aopt, n_blocks=None, metric=None):
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"""Returns loading from PCA on CV-segments.
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input:
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@ -178,9 +199,11 @@ def pca_jkP(a, aopt, n_blocks=None):
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return PP
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def find_aopt_from_sep(sep, method='75perc'):
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"""Returns an estimate of optimal number of components from rmsecv.
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"""
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if method=='vanilla':
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# min rmsep
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rmsecv = sqrt(sep.mean(0))
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