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bugfixed scaling issues

This commit is contained in:
Arnar Flatberg 2007-01-31 11:57:04 +00:00
parent f064b7134d
commit 8e607c7b1a
1 changed files with 16 additions and 20 deletions
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36
fluents/lib/cx_stats.py
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@ -9,7 +9,8 @@ from select_generators import shuffle_1d
from engines import *
import time
def hotelling(P, Pfull, p_center='med', cov_center='med',
def hotelling(Pcv, P, p_center='med', cov_center='med',
alpha=0.3, crot=True, strict=False, metric=None):
"""Returns regularized hotelling T^2.
@ -20,35 +21,35 @@ def hotelling(P, Pfull, p_center='med', cov_center='med',
alpha -- regularisation
crot -- rotate submodels toward full?
strict -- only rotate 90 degree ?
metric -- inverse metric matrix (if P and Pfull from metric pca/pls)
metric -- inverse metric matrix (if Pcv and P from metric pca/pls)
"""
m, n = Pfull.shape
m, n = P.shape
if metric==None:
metric = eye(m, dtype='<f8')
Pfull = dot(metric.T, asarray(Pfull))
n_sets,n,amax = P.shape
P = dot(metric.T, asarray(P))
n_sets, n, amax = Pcv.shape
# allocate
T_sq = empty((n, ),dtype='f')
Cov_i = zeros((n, amax, amax),dtype='f')
# rotate sub_models to full model
if crot:
for i,Pi in enumerate(P):
for i, Pi in enumerate(Pcv):
Pi = dot(metric.T, Pi)
P[i] = procrustes(Pfull, Pi, strict=strict)
Pcv[i] = procrustes(P, Pi, strict=strict)
# center of pnull
if p_center=='med':
P_ctr = median(P, 0)
P_ctr = median(Pcv, 0)
elif p_center=='mean':
# fixme: mean is unstable
P_ctr = mean(P, 0)
P_ctr = mean(Pcv, 0)
else: #use full
P_ctr = Pfull
P_ctr = P
for i in xrange(n):
Pi = P[:,i,:] # (n_sets x amax)
Pi = Pcv[:,i,:] # (n_sets x amax)
Pi_ctr = P_ctr[i,:] # (1 x amax)
Pim = (Pi - Pi_ctr[newaxis])*sqrt(n_sets-1)
Cov_i[i] = (1./n_sets)*dot(Pim.T, Pim)
@ -131,8 +132,6 @@ def pls_qvals(a, b, aopt=None, alpha=.3,
crot -- bool, use rotations of sub models?
strict -- bool, use stict (rot/flips only) rotations?
metric -- bool, use row metric?
"""
m, n = a.shape
@ -144,8 +143,8 @@ def pls_qvals(a, b, aopt=None, alpha=.3,
dat = bridge(a, b, aopt, 'loads', 'fast')
else:
dat = pls(a, b, aopt, 'loads', 'fast')
W = pls_jkW(a, b, aopt, n_blocks=None, algo=algo)
tsq_full = hotelling(W, dat['W'], p_center=p_center,
Wcv = pls_jkW(a, b, aopt, n_blocks=None, algo=algo)
tsq_full = hotelling(Wcv, dat['W'], p_center=p_center,
alpha=alpha, crot=crot, strict=strict,
cov_center=cov_center, metric=metric)
t0 = time.time()
@ -156,8 +155,8 @@ def pls_qvals(a, b, aopt=None, alpha=.3,
dat = bridge(a, b_shuff, aopt, 'loads','fast')
else:
dat = pls(a, b, aopt, 'loads', 'fast')
W = pls_jkW(a, b_shuff, aopt, n_blocks=None, algo=algo)
TSQ[:,i] = hotelling(W, dat['W'],p_center=p_center,
Wcv = pls_jkW(a, b_shuff, aopt, n_blocks=None, algo=algo)
TSQ[:,i] = hotelling(Wcv, dat['W'], p_center=p_center,
alpha=alpha, crot=crot, strict=strict,
cov_center=cov_center, metric=metric)
print time.time() - t1
@ -194,8 +193,6 @@ def ensure_strict(C, only_flips=True):
raise ValueError,"Implement this!"
return Cm*S
def leverage(aopt=1,*args):
"""Returns leverages
input : aopt, number of components to base leverage calculations on
@ -213,7 +210,6 @@ def leverage(aopt=1,*args):
lev.append(lev_u)
return lev
def variances(a,t,p):
"""Returns explained variance and ind. var from blm-params.
input: