def E_logqZ(self, Data, LP):
''' Calculate E[ log q(z)] for each active topic
Returns
-------
ElogqZ : 1D array, size K
'''
if hasattr(Data, 'word_count'):
return NumericUtil.calcRlogRdotv(LP['resp'], Data.word_count)
else:
return NumericUtil.calcRlogR(LP['resp'])
def L_entropy(Data=None, LP=None, resp=None, returnVector=0):
""" Calculate entropy of soft assignments term in ELBO objective.
Returns
-------
L_entropy : scalar float
"""
spR = None
if LP is not None:
if 'resp' in LP:
resp = LP['resp']
elif 'spR' in LP:
spR = LP['spR']
N, K = LP['spR'].shape
else:
raise ValueError("LP dict missing resp or spR")
if resp is not None:
N, K = LP['resp'].shape
if hasattr(Data, 'word_count') and N == Data.word_count.size:
if resp is not None:
Hvec = -1 * NumericUtil.calcRlogRdotv(resp, Data.word_count)
elif spR is not None:
Hvec = calcSparseRlogRdotv(v=Data.word_count, **LP)
else:
raise ValueError("Missing resp assignments!")
else:
if resp is not None:
Hvec = -1 * NumericUtil.calcRlogR(resp)
elif 'spR' in LP:
assert 'nnzPerRow' in LP
Hvec = calcSparseRlogR(**LP)
else:
raise ValueError("Missing resp assignments!")
assert Hvec.size == K
assert Hvec.min() >= -1e-6
if returnVector:
return Hvec
return Hvec.sum()
def makeExpansionLPFromZ_HDPTopicModel(Dslice=None,
curModel=None,
curLPslice=None,
ktarget=None,
xInitSS=None,
targetZ=None,
atomType=None,
chosenDataIDs=None,
emptyPiFrac=None,
**kwargs):
''' Create expanded local parameters from Z assignments on target subset.
Returns
-------
xLP : dict with fields
resp : N x Kfresh
DocTopicCount : D x Kfresh
theta : D x Kfresh
ElogPi : D x Kfresh
'''
Kfresh = targetZ.max() + 1
N = curLPslice['resp'].shape[0]
# Compute prior probability of each proposed comp
xPiVec, emptyPi = make_xPiVec_and_emptyPi(curModel=curModel,
ktarget=ktarget,
Kfresh=Kfresh,
xInitSS=xInitSS,
**kwargs)
xalphaPi = curModel.allocModel.alpha * xPiVec
emptyalphaPi = curModel.allocModel.alpha * emptyPi
# Compute likelihood under each proposed comp
xObsModel = curModel.obsModel.copy()
xObsModel.update_global_params(xInitSS)
xLPslice = xObsModel.calc_local_params(Dslice)
# Initialize xresp so each atom is normalized
# This is the "default", for non-target atoms.
xresp = xLPslice['E_log_soft_ev']
xresp += np.log(xalphaPi) # log prior probability
xresp -= xresp.max(axis=1)[:, np.newaxis]
assert np.allclose(xresp.max(axis=1), 0.0)
np.exp(xresp, out=xresp)
xresp /= xresp.sum(axis=1)[:, np.newaxis]
# Now, replace all targeted atoms with an all-or-nothing assignment
if atomType == 'doc' and curModel.getAllocModelName().count('HDP'):
if curModel.getObsModelName().count('Mult'):
for pos, d in enumerate(chosenDataIDs):
start = Dslice.doc_range[d]
stop = Dslice.doc_range[d + 1]
xresp[start:stop, :] = 1e-100
xresp[start:stop, targetZ[pos]] = 1.0
elif curModel.getObsModelName().count('Bern'):
# For all words in each targeted doc,
# Assign them to the corresponding cluster in targetZ
for pos, d in enumerate(chosenDataIDs):
bstart = Dslice.vocab_size * d
bstop = Dslice.vocab_size * (d + 1)
xresp[bstart:bstop, :] = 1e-100
xresp[bstart:bstop, targetZ[pos]] = 1.0
#words_d = Dslice.word_id[
# Dslice.doc_range[d]:Dslice.doc_range[d+1]]
#xresp[bstart + words_d, :] = 1e-100
#xresp[bstart + words_d, targetZ[pos]] = 1.0
else:
for pos, n in enumerate(chosenDataIDs):
xresp[n, :] = 1e-100
xresp[n, targetZ[pos]] = 1.0
assert np.allclose(1.0, xresp.sum(axis=1))
# Make resp consistent with ktarget comp
xresp *= curLPslice['resp'][:, ktarget][:, np.newaxis]
np.maximum(xresp, 1e-100, out=xresp)
# Create xDocTopicCount
xDocTopicCount = np.zeros((Dslice.nDoc, Kfresh))
for d in range(Dslice.nDoc):
start = Dslice.doc_range[d]
stop = Dslice.doc_range[d + 1]
if hasattr(Dslice, 'word_id') and \
curModel.getObsModelName().count('Mult'):
xDocTopicCount[d] = np.dot(Dslice.word_count[start:stop],
xresp[start:stop])
elif hasattr(Dslice, 'word_id') and \
curModel.getObsModelName().count('Bern'):
bstart = d * Dslice.vocab_size
bstop = (d + 1) * Dslice.vocab_size
xDocTopicCount[d] = np.sum(xresp[bstart:bstop], axis=0)
else:
xDocTopicCount[d] = np.sum(xresp[start:stop], axis=0)
# Create xtheta
xtheta = xDocTopicCount + xalphaPi[np.newaxis, :]
# Package up into xLPslice
xLPslice['resp'] = xresp
xLPslice['DocTopicCount'] = xDocTopicCount
xLPslice['theta'] = xtheta
assert np.allclose(xDocTopicCount.sum(axis=1),
curLPslice['DocTopicCount'][:, ktarget])
assert np.allclose(
xtheta.sum(axis=1) + emptyalphaPi, curLPslice['theta'][:, ktarget])
# Compute other LP quantities related to log prob (topic | doc)
# and fill these into the expanded LP dict
digammaSumTheta = curLPslice['digammaSumTheta'].copy()
xLPslice['digammaSumTheta'] = digammaSumTheta
xLPslice['ElogPi'] = \
digamma(xLPslice['theta']) - digammaSumTheta[:, np.newaxis]
xLPslice['thetaRem'] = curLPslice['thetaRem'].copy()
xLPslice['ElogPiRem'] = curLPslice['ElogPiRem'].copy()
# Compute quantities related to leaving ktarget almost empty,
# as we expand and transfer mass to other comps
if emptyalphaPi > 0:
thetaEmptyComp = emptyalphaPi
ElogPiEmptyComp = digamma(thetaEmptyComp) - digammaSumTheta
xLPslice['thetaEmptyComp'] = thetaEmptyComp
xLPslice['ElogPiEmptyComp'] = ElogPiEmptyComp
# Compute quantities related to OrigComp, the original target cluster.
# These need to be tracked and turned into relevant summaries
# so that they can be used to created a valid proposal state "propSS"
xLPslice['ElogPiOrigComp'] = curLPslice['ElogPi'][:, ktarget]
xLPslice['gammalnThetaOrigComp'] = \
np.sum(gammaln(curLPslice['theta'][:, ktarget]))
slack = curLPslice['DocTopicCount'][:, ktarget] - \
curLPslice['theta'][:, ktarget]
xLPslice['slackThetaOrigComp'] = np.sum(slack *
curLPslice['ElogPi'][:, ktarget])
if hasattr(Dslice, 'word_count') and \
xLPslice['resp'].shape[0] == Dslice.word_count.size:
xLPslice['HrespOrigComp'] = -1 * NumericUtil.calcRlogRdotv(
curLPslice['resp'][:, ktarget], Dslice.word_count)
else:
xLPslice['HrespOrigComp'] = -1 * NumericUtil.calcRlogR(
curLPslice['resp'][:, ktarget])
return xLPslice
def restrictedLocalStep_HDPTopicModel(Dslice=None,
curLPslice=None,
ktarget=0,
xObsModel=None,
xalphaPi=None,
thetaEmptyComp=None,
xInitLPslice=None,
b_localStepSingleDoc='fast',
**kwargs):
'''
Returns
-------
xLPslice : dict with updated fields
Fields with learned values
* resp : N x Kfresh
* DocTopicCount : nDoc x Kfresh
* theta : nDoc x Kfresh
* ElogPi : nDoc x Kfresh
Fields copied directly from curLPslice
* digammaSumTheta : 1D array, size nDoc
* thetaRem : scalar
* ElogPiRem : scalar
* thetaEmptyComp
* ElogPiEmptyComp
'''
Kfresh = xObsModel.K
assert Kfresh == xalphaPi.size
# Compute conditional likelihoods for every data atom
xLPslice = xObsModel.calc_local_params(Dslice)
assert 'E_log_soft_ev' in xLPslice
# Initialize DocTopicCount and theta
xLPslice['resp'] = xLPslice['E_log_soft_ev']
xLPslice['DocTopicCount'] = np.zeros((Dslice.nDoc, Kfresh))
xLPslice['theta'] = np.zeros((Dslice.nDoc, Kfresh))
xLPslice['_nIters'] = -1 * np.ones(Dslice.nDoc)
xLPslice['_maxDiff'] = -1 * np.ones(Dslice.nDoc)
if b_localStepSingleDoc == 'fast':
restrictedLocalStepForSingleDoc_Func = \
restrictedLocalStepForSingleDoc_HDPTopicModel
else:
print('SLOW<<<!!')
restrictedLocalStepForSingleDoc_Func = \
restrictedLocalStepForSingleDoc_HDPTopicModel_SlowerButStable
# Fill in these fields, one doc at a time
for d in range(Dslice.nDoc):
xLPslice = restrictedLocalStepForSingleDoc_Func(
d=d,
Dslice=Dslice,
curLPslice=curLPslice,
xLPslice=xLPslice,
xInitLPslice=xInitLPslice,
ktarget=ktarget,
Kfresh=Kfresh,
xalphaPi=xalphaPi,
obsModelName=xObsModel.__class__.__name__,
**kwargs)
# Compute other LP quantities related to log prob (topic | doc)
# and fill these into the expanded LP dict
digammaSumTheta = curLPslice['digammaSumTheta'].copy()
xLPslice['digammaSumTheta'] = digammaSumTheta
xLPslice['ElogPi'] = \
digamma(xLPslice['theta']) - digammaSumTheta[:, np.newaxis]
xLPslice['thetaRem'] = curLPslice['thetaRem'].copy()
xLPslice['ElogPiRem'] = curLPslice['ElogPiRem'].copy()
# Compute quantities related to leaving ktarget almost empty,
# as we expand and transfer mass to other comps
if thetaEmptyComp > 0:
ElogPiEmptyComp = digamma(thetaEmptyComp) - digammaSumTheta
xLPslice['thetaEmptyComp'] = thetaEmptyComp
xLPslice['ElogPiEmptyComp'] = ElogPiEmptyComp
if isExpansion:
# Compute quantities related to OrigComp, the original target cluster.
# These need to be tracked and turned into relevant summaries
# so that they can be used to created a valid proposal state "propSS"
xLPslice['ElogPiOrigComp'] = curLPslice['ElogPi'][:, ktarget]
xLPslice['gammalnThetaOrigComp'] = \
np.sum(gammaln(curLPslice['theta'][:, ktarget]))
slack = curLPslice['DocTopicCount'][:, ktarget] - \
curLPslice['theta'][:, ktarget]
xLPslice['slackThetaOrigComp'] = np.sum(
slack * curLPslice['ElogPi'][:, ktarget])
if hasattr(Dslice, 'word_count') and \
xLPslice['resp'].shape[0] == Dslice.word_count.size:
xLPslice['HrespOrigComp'] = -1 * NumericUtil.calcRlogRdotv(
curLPslice['resp'][:, ktarget], Dslice.word_count)
else:
xLPslice['HrespOrigComp'] = -1 * NumericUtil.calcRlogR(
curLPslice['resp'][:, ktarget])
return xLPslice
def calcELBO_NonlinearTerms(Data=None, SS=None, LP=None, todict=0,
rho=None, Ebeta=None, alpha=None,
resp=None,
nDoc=None, DocTopicCount=None,
theta=None, thetaRem=None,
ElogPi=None, ElogPiRem=None,
sumLogPi=None,
sumLogPiRem=None, sumLogPiRemVec=None,
Hresp=None, slackTheta=None, slackThetaRem=None,
gammalnTheta=None, gammalnSumTheta=None,
gammalnThetaRem=None,
thetaEmptyComp=None, ElogPiEmptyComp=None,
ElogPiOrigComp=None,
gammalnThetaOrigComp=None, slackThetaOrigComp=None,
returnMemoizedDict=0, **kwargs):
""" Calculate ELBO objective terms non-linear in suff stats.
"""
if resp is not None:
N, K = resp.shape
elif LP is not None:
if 'resp' in LP:
N, K = LP['resp'].shape
else:
N, K = LP['spR'].shape
if Ebeta is None:
Ebeta = rho2beta(rho, returnSize='K+1')
if LP is not None:
DocTopicCount = LP['DocTopicCount']
nDoc = DocTopicCount.shape[0]
theta = LP['theta']
thetaRem = LP['thetaRem']
ElogPi = LP['ElogPi']
ElogPiRem = LP['ElogPiRem']
sumLogPi = np.sum(ElogPi, axis=0)
sumLogPiRem = np.sum(ElogPiRem)
if 'thetaEmptyComp' in LP:
thetaEmptyComp = LP['thetaEmptyComp']
ElogPiEmptyComp = LP['ElogPiEmptyComp']
ElogPiOrigComp = LP['ElogPiOrigComp']
gammalnThetaOrigComp = LP['gammalnThetaOrigComp']
slackThetaOrigComp = LP['slackThetaOrigComp']
HrespOrigComp = LP['HrespOrigComp']
elif SS is not None:
sumLogPi = SS.sumLogPi
nDoc = SS.nDoc
if hasattr(SS, 'sumLogPiRemVec'):
sumLogPiRemVec = SS.sumLogPiRemVec
else:
sumLogPiRem = SS.sumLogPiRem
if DocTopicCount is not None and theta is None:
theta = DocTopicCount + alpha * Ebeta[:-1]
thetaRem = alpha * Ebeta[-1]
if theta is not None and ElogPi is None:
digammasumtheta = digamma(theta.sum(axis=1) + thetaRem)
ElogPi = digamma(theta) - digammasumtheta[:, np.newaxis]
ElogPiRem = digamma(thetaRem) - digammasumtheta[:, np.newaxis]
if sumLogPi is None and ElogPi is not None:
sumLogPi = np.sum(ElogPi, axis=0)
sumLogPiRem = np.sum(ElogPiRem)
if Hresp is None:
if SS is not None and SS.hasELBOTerm('Hresp'):
Hresp = SS.getELBOTerm('Hresp')
else:
if hasattr(Data, 'word_count') and N == Data.word_count.size:
if resp is not None:
Hresp = -1 * NumericUtil.calcRlogRdotv(
resp, Data.word_count)
elif 'resp' in LP:
Hresp = -1 * NumericUtil.calcRlogRdotv(
LP['resp'], Data.word_count)
elif 'spR' in LP:
Hresp = calcSparseRlogRdotv(
v=Data.word_count,
**LP)
else:
raise ValueError("Missing resp assignments!")
else:
if resp is not None:
Hresp = -1 * NumericUtil.calcRlogR(resp)
elif 'resp' in LP:
Hresp = -1 * NumericUtil.calcRlogR(LP['resp'])
elif 'spR' in LP:
assert 'nnzPerRow' in LP
Hresp = calcSparseRlogR(**LP)
else:
raise ValueError("Missing resp assignments!")
if slackTheta is None:
if SS is not None and SS.hasELBOTerm('slackTheta'):
slackTheta = SS.getELBOTerm('slackTheta')
slackThetaRem = SS.getELBOTerm('slackThetaRem')
else:
slackTheta = DocTopicCount - theta
slackTheta *= ElogPi
slackTheta = np.sum(slackTheta, axis=0)
slackThetaRem = -1 * np.sum(thetaRem * ElogPiRem)
if gammalnTheta is None:
if SS is not None and SS.hasELBOTerm('gammalnTheta'):
gammalnSumTheta = SS.getELBOTerm('gammalnSumTheta')
gammalnTheta = SS.getELBOTerm('gammalnTheta')
gammalnThetaRem = SS.getELBOTerm('gammalnThetaRem')
else:
sumTheta = np.sum(theta, axis=1) + thetaRem
gammalnSumTheta = np.sum(gammaln(sumTheta))
gammalnTheta = np.sum(gammaln(theta), axis=0)
gammalnThetaRem = theta.shape[0] * gammaln(thetaRem)
if thetaEmptyComp is not None:
gammalnThetaEmptyComp = nDoc * gammaln(thetaEmptyComp) - \
gammalnThetaOrigComp
slackThetaEmptyComp = -np.sum(thetaEmptyComp * ElogPiEmptyComp) - \
slackThetaOrigComp
if returnMemoizedDict:
Mdict = dict(Hresp=Hresp,
slackTheta=slackTheta,
slackThetaRem=slackThetaRem,
gammalnTheta=gammalnTheta,
gammalnThetaRem=gammalnThetaRem,
gammalnSumTheta=gammalnSumTheta)
if thetaEmptyComp is not None:
Mdict['HrespEmptyComp'] = -1 * HrespOrigComp
Mdict['gammalnThetaEmptyComp'] = gammalnThetaEmptyComp
Mdict['slackThetaEmptyComp'] = slackThetaEmptyComp
return Mdict
# First, compute all local-only terms
Lentropy = np.sum(Hresp)
Lslack = slackTheta.sum() + slackThetaRem
LcDtheta = -1 * (gammalnSumTheta - gammalnTheta.sum() - gammalnThetaRem)
# For stochastic (soVB), we need to scale up these terms
# Only used when --doMemoELBO is set to 0 (not recommended)
if SS is not None and SS.hasAmpFactor():
Lentropy *= SS.ampF
Lslack *= SS.ampF
LcDtheta *= SS.ampF
# Next, compute the slack term
alphaEbeta = alpha * Ebeta
Lslack_alphaEbeta = np.sum(alphaEbeta[:-1] * sumLogPi)
if sumLogPiRemVec is not None:
Ebeta_gt = 1 - np.cumsum(Ebeta[:-1])
Lslack_alphaEbeta += alpha * np.inner(Ebeta_gt, sumLogPiRemVec)
else:
Lslack_alphaEbeta += alphaEbeta[-1] * sumLogPiRem
Lslack += Lslack_alphaEbeta
if todict:
return dict(
Lslack=Lslack,
Lentropy=Lentropy,
LcDtheta=LcDtheta,
Lslack_alphaEbeta=Lslack_alphaEbeta)
return LcDtheta + Lslack + Lentropy
def restrictedLocalStep_HDPTopicModel(Dslice=None,
curLPslice=None,
ktarget=0,
kabsorbList=None,
xObsModel=None,
xalphaPi=None,
nUpdateSteps=3,
doBuildOnInit=False,
convThr=0.5,
thetaEmptyComp=0.0,
**kwargs):
''' Compute local parameters for HDPTopicModel via restricted local step.
Returns
-------
xLPslice : dict with updated fields
Fields with learned values
* resp : N x Kfresh
* DocTopicCount : nDoc x Kfresh
* theta : nDoc x Kfresh
* ElogPi : nDoc x Kfresh
Fields copied directly from curLPslice
* digammaSumTheta : 1D array, size nDoc
* thetaRem : scalar
* ElogPiRem : scalar
'''
if doBuildOnInit:
xWholeSS = xInitSS.copy()
Kfresh = xObsModel.K
assert Kfresh == xalphaPi.size
xLPslice = dict()
# Default warm_start initialization for DocTopicCount
# by copying the previous counts at all absorbing states
if kabsorbList is None:
xLPslice['DocTopicCount'] = np.zeros((Dslice.nDoc, Kfresh))
xLPslice['resp'] = np.zeros((curLPslice['resp'].shape[0], Kfresh))
else:
# Initialize DocTopicCounts by copying those from absorbing states
xLPslice['DocTopicCount'] = \
curLPslice['DocTopicCount'][:, kabsorbList].copy()
# Initialize resp by copying existing resp for absorbing state
# Note: this is NOT consistent with some docs in DocTopicCount
# but that will get fixed by restricted step
xLPslice['resp'] = \
curLPslice['resp'][:, kabsorbList].copy()
xLPslice['theta'] = \
xLPslice['DocTopicCount'] + xalphaPi[np.newaxis,:]
xLPslice['_nIters'] = -1 * np.ones(Dslice.nDoc)
xLPslice['_maxDiff'] = -1 * np.ones(Dslice.nDoc)
for step in range(nUpdateSteps):
# Compute conditional likelihoods for every data atom
xLPslice = xObsModel.calc_local_params(Dslice, xLPslice)
assert 'E_log_soft_ev' in xLPslice
assert 'obsModelName' in xLPslice
# Fill in these fields, one doc at a time
for d in xrange(Dslice.nDoc):
xLPslice = restrictedLocalStepForSingleDoc_HDPTopicModel(
d=d,
Dslice=Dslice,
curLPslice=curLPslice,
xLPslice=xLPslice,
ktarget=ktarget,
kabsorbList=kabsorbList,
xalphaPi=xalphaPi,
thetaEmptyComp=thetaEmptyComp,
**kwargs)
isLastStep = step == nUpdateSteps - 1
if not isLastStep:
xSS = xObsModel.calcSummaryStats(Dslice, None, xLPslice)
# Increment
if doBuildOnInit:
xSS.setUIDs(xWholeSS.uids)
xWholeSS += xSS
else:
xWholeSS = xSS
# Global step
xObsModel.update_global_params(xWholeSS)
# Decrement stats
if doBuildOnInit:
xWholeSS -= xSS
# Assess early stopping
if step > 0:
thr = np.sum(np.abs(prevCountVec - xSS.getCountVec()))
if thr < convThr:
break
prevCountVec = xSS.getCountVec()
# Compute other LP quantities related to log prob (topic | doc)
# and fill these into the expanded LP dict
digammaSumTheta = curLPslice['digammaSumTheta'].copy()
xLPslice['digammaSumTheta'] = digammaSumTheta
xLPslice['ElogPi'] = \
digamma(xLPslice['theta']) - digammaSumTheta[:, np.newaxis]
xLPslice['thetaRem'] = curLPslice['thetaRem'].copy()
xLPslice['ElogPiRem'] = curLPslice['ElogPiRem'].copy()
# Compute quantities related to leaving ktarget almost empty,
# as we expand and transfer mass to other comps
if thetaEmptyComp > 0:
ElogPiEmptyComp = digamma(thetaEmptyComp) - digammaSumTheta
xLPslice['thetaEmptyComp'] = thetaEmptyComp
xLPslice['ElogPiEmptyComp'] = ElogPiEmptyComp
# Compute quantities related to OrigComp, the original target cluster.
# These need to be tracked and turned into relevant summaries
# so that they can be used to created a valid proposal state "propSS"
xLPslice['ElogPiOrigComp'] = curLPslice['ElogPi'][:, ktarget]
xLPslice['gammalnThetaOrigComp'] = \
np.sum(gammaln(curLPslice['theta'][:, ktarget]))
slack = curLPslice['DocTopicCount'][:, ktarget] - \
curLPslice['theta'][:, ktarget]
xLPslice['slackThetaOrigComp'] = np.sum(
slack * curLPslice['ElogPi'][:, ktarget])
if hasattr(Dslice, 'word_count') and \
xLPslice['resp'].shape[0] == Dslice.word_count.size:
xLPslice['HrespOrigComp'] = -1 * NumericUtil.calcRlogRdotv(
curLPslice['resp'][:, ktarget], Dslice.word_count)
else:
xLPslice['HrespOrigComp'] = -1 * NumericUtil.calcRlogR(
curLPslice['resp'][:, ktarget])
return xLPslice
