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VDPMNan.py
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394 lines (302 loc) · 16.6 KB
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import voxelDPM
import VDPMMean
import numpy as np
import scipy
import sys
from env import *
import os
import pickle
import sklearn
import math
''' Class for a Voxelwise Disease Progression Model that can handle missing data (NaNs)'''
class VDPMNanBuilder(voxelDPM.VoxelDPMBuilder):
# builds a voxel-wise disease progression model
def __init__(self, isClust):
super().__init__(isClust)
def generate(self, dataIndices, expName, params):
return VDPMNan(dataIndices, expName, params, self.plotterObj)
class VDPMNan(VDPMMean.VDPMMean):
def __init__(self, dataIndices, expName, params, plotterObj):
super().__init__(dataIndices, expName, params, plotterObj)
self.nanMask = np.nan
def runInitClust(self, runPart, crossData, crossDiag):
# printStats(longData, longDiag)
sys.stdout.flush()
np.random.seed(1)
plotTrajParams = self.params['plotTrajParams']
initClustFile = '%s/initClust.npz' % self.outFolder
nrClust = self.params['nrClust']
labels = self.params['labels']
if runPart[0] == 'R':
# perform some data driven clustering in order to get some initial clustering probabilities
if self.params['initClustering'] == 'k-means':
# perform k-means usign scikit-learn
initClustSubsetInd = self.params['initClustSubsetInd']
nearNeighInitClust = self.params['nearNeighInitClust']
# if subject has nans, fill out the values with mean for that diagnosis
dataToCluster = crossData[:,initClustSubsetInd].copy()
if np.sum(np.isnan(dataToCluster),axis=(0,1)) > 0:
print(np.sum(np.sum(np.isnan(dataToCluster),axis=1) == 0))
unqDiags = np.unique(crossDiag)
nrDiags = len(unqDiags)
nrSubjCross, nrBiomk = crossData.shape
meanValuesDB = np.zeros((nrDiags, nrBiomk))
meanDataSB = np.zeros((nrSubjCross, nrBiomk))
for d in range(nrDiags):
print(crossData[crossDiag == unqDiags[d],:])
print(np.nanmean(crossData[crossDiag == unqDiags[d],:],axis=0))
meanValuesDB[d,:] = np.nanmean(crossData[crossDiag == unqDiags[d],:],axis=0)
meanDataSB[crossDiag == unqDiags[d],:] = meanValuesDB[d,:]
print('dataToCluster[::100,:][::100]', dataToCluster[::100,:][::100])
dataToCluster[np.isnan(dataToCluster)] = meanDataSB[np.isnan(dataToCluster)]
print('dataToCluster[::100,:][::100]', dataToCluster[::100, :][::100])
# print(adsd)
clustResStruct = sklearn.cluster.KMeans(n_clusters=nrClust, random_state=0)\
.fit(dataToCluster.T)
initClustSubset = clustResStruct.labels_ # indices should start from 0
initClust = initClustSubset[nearNeighInitClust]
print('clustHist', [np.sum(initClust == c) for c in range(nrClust)])
print('clustHistSubset', [np.sum(initClustSubset == c) for c in range(nrClust)])
print('initClust', initClust.shape, initClust)
print('initClustSubset', initClustSubset.shape, initClustSubset)
# print(ada)
assert (np.min(initClustSubset) == 0)
assert (np.min(initClust) == 0)
elif self.params['initClustering'] == 'hist':
# assumes data has been z-scored
print(np.std(crossData[crossDiag == CTL], axis=0))
assert (all(np.nanmean(crossData[crossDiag == CTL], axis=0) < 0.5))
avgCrossDataPatB = np.nanmean(crossData[crossDiag == self.params['patientID']], axis=0)
percentiles = list(np.percentile(avgCrossDataPatB,
[c * 100 / nrClust for c in range(1, nrClust)]))
percentiles = [-float("inf")] + percentiles + [float("inf")]
print('avgCrossDataPatB', avgCrossDataPatB, labels[np.isnan(avgCrossDataPatB)])
print('percentiles', percentiles)
assert (len(percentiles) == (nrClust + 1))
initClust = np.zeros(crossData.shape[1], int)
for c in range(nrClust):
clustMask = np.logical_and(percentiles[c] < avgCrossDataPatB,
avgCrossDataPatB < percentiles[c + 1])
initClust[clustMask] = c
os.system('mkdir -p %s' % self.outFolder)
clustDataStruct = dict(initClust=initClust)
pickle.dump(clustDataStruct, open(initClustFile, 'wb'), protocol=pickle.HIGHEST_PROTOCOL)
elif runPart[0] == 'L':
clustDataStruct = pickle.load(open(initClustFile, 'rb'))
initClust = clustDataStruct['initClust']
assert (np.min(initClust) == 0)
else:
print('no file found at runPart[0] for %s' % self.outFolder)
# initClust = np.zeros(crossData.shape[1], int)
return None
# print('initClust', initClust)
# for c in range(nrClust):
# print('clust %d' % c, self.params['labels'][initClust == c])
return initClust
def initTrajParams(self, crossData, crossDiag, clustProbBC, crossAgeAtScan, subShiftsLong,
uniquePartCodeInverse, crossAge1array, extraRangeFactor):
''' ATTENTION: crossData will contain NaNs!
initialises sigmoidal trajectory params [a,b,c,d] with minimum a, maximum a+d, slope a*b/4
and slope maximum attained at center c
'''
print('crossDiag', np.sum(np.isnan(crossDiag)), crossDiag)
assert not np.isnan(crossDiag).any()
assert not np.isnan(clustProbBC).any()
assert not np.isnan(crossAgeAtScan).any()
assert not np.isnan(subShiftsLong).any()
assert not np.isnan(uniquePartCodeInverse).any()
assert not np.isnan(crossAge1array).any()
clustProbBCColNorm = clustProbBC / np.sum(clustProbBC, 0)[None, :]
nrClust = clustProbBC.shape[1]
initSubShiftsCross = subShiftsLong[uniquePartCodeInverse, :]
variances = np.zeros(nrClust, float)
dpsCross = VDPMNan.calcDps(initSubShiftsCross, crossAge1array)
# calculate average voxel value for each (subject, cluster) pair, use them to initialise theta
thetas = np.zeros((nrClust, 4), float)
minMaxRange = np.nanmax(crossData, 0) - np.nanmin(crossData, 0)
print('minMaxRange', minMaxRange.shape)
print('clustProbBCColNorm', clustProbBCColNorm.shape)
minMaxRangeC = np.dot(minMaxRange, clustProbBCColNorm)
dataMinB = np.nanmin(crossData, 0)
dataMinC = np.dot(dataMinB, clustProbBCColNorm)
assert (1 <= self.params['patientID'] <= 3)
print('crossDiag', crossDiag, 'patientID', self.params['patientID'])
print('extraRangeFactor', extraRangeFactor)
thetas[:, 0] = minMaxRangeC + minMaxRangeC * 2 * extraRangeFactor / 10 # ak = (dk + ak) - dk
thetas[:, 1] = -16 / (thetas[:, 0] * np.std(dpsCross[crossDiag == self.params['patientID']])) # bk = 4/ak so that slope = bk*ak/4 = -1
thetas[:, 2] = np.mean(crossAgeAtScan) # ck
thetas[:, 3] = dataMinC - minMaxRangeC * extraRangeFactor / 10 # dk
# print('thetas', thetas)
thetas = self.makeThetasIdentif(thetas, shiftTransform=[0, 1])
# print('thetas', thetas)
# print(adsa)
dataStdB = np.nanstd(crossData, axis=0)
dataStdC = np.dot(dataStdB, clustProbBCColNorm)
variances = np.power(dataStdC, 2)
return thetas, variances
def inferMissingData(self, crossData,longData, prevClustProbBC, thetas, subShiftsCross,
crossAge1array, trajFunc, scanTimepts, partCode, uniquePartCode, plotterObj):
self.nanMask = np.isnan(crossData)
prevClustProbColNormBC = prevClustProbBC / np.sum(prevClustProbBC, 0)[None, :]
(nrSubjCross, nrBiomk) = crossData.shape
nrClust = thetas.shape[0]
dps = voxelDPM.VoxelDPM.calcDps(subShiftsCross, crossAge1array)
fSC = np.zeros((nrSubjCross, nrClust), float)
for k in range(nrClust):
fSC[:, k] = trajFunc(dps, thetas[k, :])
# print('longData[s]', [longData[s] for s in range(5)])
dataInferredSB = np.dot(fSC, prevClustProbBC.T)
# print('crossData[:3,:]', crossData[:3,:])
crossData[self.nanMask] = dataInferredSB[self.nanMask]
longData = self.makeLongArray(crossData, scanTimepts, partCode, uniquePartCode)
# print('crossData[:3,:]', crossData[:3, :])
# print('longData[s]', [longData[s] for s in range(5)])
# print(adss)
return crossData, longData
def recompResponsib(self, crossData, longData, crossAge1array, thetas, variances, subShiftsCross,
trajFunc, prevClustProbBC, scanTimepts, partCode, uniquePartCode):
# overwrite function as we need to use a different variance (in the biomk measurements as opposed to their mean)
prevClustProbColNormBC = prevClustProbBC / np.sum(prevClustProbBC, 0)[None, :]
(nrSubj, nrBiomk) = crossData.shape
nrClust = thetas.shape[0]
dps = voxelDPM.VoxelDPM.calcDps(subShiftsCross, crossAge1array)
fSC = np.zeros((nrSubj, nrClust), float)
for k in range(nrClust):
fSC[:, k] = trajFunc(dps, thetas[k, :])
# dataInferredSB = np.dot(fSC, prevClustProbBC.T)
# crossData[self.nanMask] = dataInferredSB[self.nanMask]
crossData, longData = self.inferMissingData(crossData, longData, prevClustProbBC,
thetas, subShiftsCross, crossAge1array, trajFunc, scanTimepts, partCode, uniquePartCode, self.plotterObj)
varianceIndivBiomk = np.zeros(variances.shape, float)
# estimate the variance in the biomk noise, as opposed to the variance in the mean
for c in range(nrClust):
# call super method
finalSSD = voxelDPM.VoxelDPM.objFunTheta(self, thetas[c,:], crossData, dps,
prevClustProbColNormBC[:,c])[1]
varianceIndivBiomk[c] = finalSSD / (crossData.shape[0])
logClustProb = np.zeros((nrBiomk, nrClust), float)
clustProb = np.zeros((nrBiomk, nrClust), float)
tmpSSD = np.zeros((nrBiomk, nrClust), float)
tmpSSDVar = np.zeros((nrBiomk, nrClust), float)
for k in range(nrClust):
tmpSSD[:, k] = np.sum(np.power(crossData - fSC[:, k][:, None], 2),
0) # sum across subjects, left with 1 x NR_BIOMK array
assert (tmpSSD[:, k].shape[0] == nrBiomk)
tmpSSDVar[:, k] = -tmpSSD[:, k] / (2 * varianceIndivBiomk[k])
logClustProb[:, k] = -tmpSSD[:, k] / (2 * varianceIndivBiomk[k]) - np.log(2 * math.pi * varianceIndivBiomk[k]) * nrSubj / 2
# vertexNr = 755
# print('tmpSSD[vertexNr,:]', tmpSSD[vertexNr, :]) # good
# print('tmpSSDVar[vertexNr,:] ', tmpSSDVar[vertexNr, :]) # good
# print('logClustProb[vertexNr,:]', logClustProb[vertexNr, :]) # bad
for k in range(nrClust):
expDiffs = np.power(np.e, logClustProb - logClustProb[:, k][:, None])
clustProb[:, k] = np.divide(1, np.sum(expDiffs, axis=1))
for c in range(nrClust):
print('sum%d' % c, np.sum(clustProb[:, c]))
# import pdb
# pdb.set_trace()
return clustProb, crossData, longData
def createLongData(self, data, diag, scanTimepts, partCode, ageAtScan):
uniquePartCode = np.unique(partCode)
longData = self.makeLongArray(data, scanTimepts, partCode, uniquePartCode)
longDiagAllTmpts = self.makeLongArray(diag, scanTimepts, partCode, uniquePartCode)
longDiag = np.array([x[0] for x in longDiagAllTmpts])
longScanTimepts = self.makeLongArray(scanTimepts, scanTimepts, partCode, uniquePartCode)
longPartCodeAllTimepts = self.makeLongArray(partCode, scanTimepts, partCode, uniquePartCode)
longPartCode = np.array([x[0] for x in longPartCodeAllTimepts])
longAgeAtScan = self.makeLongArray(ageAtScan, scanTimepts, partCode, uniquePartCode)
uniquePartCodeFiltIndices = np.in1d(partCode, np.array(longPartCode))
# filter cross-sectional data, keep only subjects with at least 2 visits
filtData = data[uniquePartCodeFiltIndices,:]
filtDiag = diag[uniquePartCodeFiltIndices]
filtScanTimetps = scanTimepts[uniquePartCodeFiltIndices]
filtPartCode = partCode[uniquePartCodeFiltIndices]
filtAgeAtScan = ageAtScan[uniquePartCodeFiltIndices]
inverseMap = np.squeeze(np.array([np.where(longPartCode == p) for p in filtPartCode])) # maps from longitudinal space
# to cross-sectional space
print('partCode', partCode)
print('filtPartCode', filtPartCode)
print('longPartCode', longPartCode)
print('inverseMap', inverseMap)
print('np.max(inverseMap)', np.max(inverseMap))
print('len(longData)', len(longData))
assert(np.max(inverseMap) == len(longData)-1) # inverseMap indices should be smaller than the size of longData as they take elements from longData
assert(len(inverseMap) == filtData.shape[0]) # length of inversemap should be the same as the cross-sectional data
#print(np.max(inverseMap), len(longData), len(inverseMap), inverseMap.shape)
#print(test)
return longData, longDiagAllTmpts, longDiag, longScanTimepts, longPartCode, longAgeAtScan, inverseMap, \
filtData, filtDiag, filtScanTimetps, filtPartCode, filtAgeAtScan, uniquePartCode
def makeLongArray(self, array, scanTimepts, partCode, uniquePartCode):
''' place data in a longitudinal format, but only return a View
(i.e. don't make a copy of the cross-sectional data). If the cross-data or long-data is modified,
the changes will propagate in the other array. Useful for NaN inference. '''
longArray = [] # longArray can be data, diag, ageAtScan,scanTimepts, etc .. both 1D or 2D
nrParticipants = len(uniquePartCode)
longCounter = 0
for p in range(nrParticipants):
# print('Participant %d' % uniquePartCode[p])
currPartIndices = np.where(partCode == uniquePartCode[p])[0]
currPartTimepoints = scanTimepts[currPartIndices]
currPartTimeptsOrdInd = np.argsort(currPartTimepoints)
# print uniquePartCode[p], currPartIndices, currPartTimepoints, currPartTimeptsOrdInd
currPartIndicesOrd = currPartIndices[currPartTimeptsOrdInd]
# print(uniquePartCode[p], currPartIndicesOrd)
# for TADPOLE data we can even have x-sectional
# assert (len(currPartTimeptsOrdInd) >= 2) # 2 for PET, 3 for MRI
# if len(currPartTimeptsOrdInd) > 1:
longArray += [array[currPartIndicesOrd]]
# print('array[currPartIndicesOrd[0],:]', array[currPartIndicesOrd[0], :])
# print('longArray[-1]', longArray[-1][0])
# array[currPartIndicesOrd[0], 0] = 2000
# print('array[currPartIndicesOrd[0],:]', array[currPartIndicesOrd[0], :])
# print('longArray[-1]', longArray[-1][0])
# print(adsa)
return longArray
def postFitAnalysis(self, runPart, crossData, crossDiag, dpsCross, clustProbBCColNorm, paramsDataFile, resStruct):
if runPart[4] == 'R':
nrBiomk, nrClust = self.clustProb.shape
plotTrajParams = self.params['plotTrajParams']
nrSubjLong = self.subShifts.shape[0]
longData = resStruct['longData']
longDiag = resStruct['longDiag']
scanTimepts = resStruct['scanTimepts']
crossPartCode = resStruct['crossPartCode']
longDPS = self.makeLongArray(dpsCross, scanTimepts, crossPartCode, np.unique(crossPartCode))
# print('self.clustProb', self.clustProb)
maxClustIndB = np.argmax(self.clustProb,axis=1)
print('biomk groups:', [self.params['labels'][maxClustIndB == c] for c in range(nrClust)])
print('self.thetas', self.thetas)
print('self.variances', self.variances)
print('self.subShifts', self.subShifts)
thetasBiomkIndep = np.zeros((nrBiomk, 4))
variancesBiomkIndep = np.zeros(nrBiomk)
clustProbBiomkIndepCurr = np.identity(nrBiomk)
# for b in range(nrBiomk):
# (thetasBiomkIndep[b, :], variancesBiomkIndep[b]) = self.estimThetas(crossData,
# dpsCross, clustProbBiomkIndepCurr[:, b], self.thetas[maxClustIndB[b]], nrSubjLong)
thetasBiomkClust = [0 for x in range(nrClust)]
for c in range(nrClust):
thetasBiomkClust[c] = thetasBiomkIndep[maxClustIndB == c,:]
# print('longDPS', longDPS[0].shape)
# print('longData', longData[0])
#
# print('thetasBiomkIndep\n', thetasBiomkIndep)
# print('self.thetas\n', self.thetas)
# print(ads)
# crossDataNaNs = crossData.copy()
# crossDataNaNs[self.nanMask] = np.nan
# crossDataNaNs
# plot each biomarker line with the corresponding data
# fig = self.plotterObj.plotTrajIndivBiomk(crossData, crossDiag, self.params['labels'], dpsCross,
# longData, longDiag, longDPS,thetasBiomkIndep, variancesBiomkIndep, plotTrajParams, self.trajFunc,
# nanMask=self.nanMask, replaceFigMode=True, showConfInt=False, colorTitle=False, yLimUseData=False,
# adjustBottomHeight=0.25)
# fig.savefig('%s/trajBiomkIndep.png' % self.outFolder, dpi=100)
# plot each cluster with the biomarker trajectories that best match this cluster
fig = self.plotterObj.plotTrajWeightedDataMean(crossData, crossDiag, dpsCross, longData,
longDiag, longDPS, self.thetas, self.variances, clustProbBCColNorm,
plotTrajParams, self.trajFunc, replaceFigMode=True, thetasSamplesClust=thetasBiomkClust,
showConfInt=False, colorTitle=True, yLimUseData=False, adjustBottomHeight=0.25, orderClust=False,
showInferredData=False)
fig.savefig('%s/trajClustWithBiomkNoInfer.png' % self.outFolder, dpi=100)
# print(adsa)