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QuaPy/quapy/method/aggregative.py

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from abc import abstractmethod
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from copy import deepcopy
from typing import Union
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import numpy as np
from joblib import Parallel, delayed
from sklearn.base import BaseEstimator
from sklearn.calibration import CalibratedClassifierCV
from sklearn.metrics import confusion_matrix
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from sklearn.model_selection import StratifiedKFold
from tqdm import tqdm
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import quapy as qp
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import quapy.functional as F
from quapy.classification.svmperf import SVMperf
from quapy.data import LabelledCollection
from quapy.method.base import BaseQuantifier, BinaryQuantifier
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# Abstract classes
# ------------------------------------
class AggregativeQuantifier(BaseQuantifier):
"""
Abstract class for quantification methods that base their estimations on the aggregation of classification
results. Aggregative Quantifiers thus implement a _classify_ method and maintain a _learner_ attribute.
"""
@abstractmethod
def fit(self, data: LabelledCollection, fit_learner=True): ...
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@property
def learner(self):
return self.learner_
@learner.setter
def learner(self, value):
self.learner_ = value
def classify(self, instances):
return self.learner.predict(instances)
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def quantify(self, instances):
classif_predictions = self.classify(instances)
return self.aggregate(classif_predictions)
@abstractmethod
def aggregate(self, classif_predictions:np.ndarray): ...
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def get_params(self, deep=True):
return self.learner.get_params()
def set_params(self, **parameters):
self.learner.set_params(**parameters)
@property
def n_classes(self):
return len(self.classes)
@property
def classes(self):
return self.learner.classes_
@property
def aggregative(self):
return True
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class AggregativeProbabilisticQuantifier(AggregativeQuantifier):
"""
Abstract class for quantification methods that base their estimations on the aggregation of posterior probabilities
as returned by a probabilistic classifier. Aggregative Probabilistic Quantifiers thus extend Aggregative
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Quantifiers by implementing a _posterior_probabilities_ method returning values in [0,1] -- the posterior
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probabilities.
"""
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def posterior_probabilities(self, instances):
return self.learner.predict_proba(instances)
def predict_proba(self, instances):
return self.posterior_probabilities(instances)
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def quantify(self, instances):
classif_posteriors = self.posterior_probabilities(instances)
return self.aggregate(classif_posteriors)
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def set_params(self, **parameters):
if isinstance(self.learner, CalibratedClassifierCV):
parameters = {'base_estimator__'+k:v for k,v in parameters.items()}
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self.learner.set_params(**parameters)
@property
def probabilistic(self):
return True
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# Helper
# ------------------------------------
def training_helper(learner,
data: LabelledCollection,
fit_learner: bool = True,
ensure_probabilistic=False,
val_split:Union[LabelledCollection, float]=None):
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"""
Training procedure common to all Aggregative Quantifiers.
:param learner: the learner to be fit
:param data: the data on which to fit the learner. If requested, the data will be split before fitting the learner.
:param fit_learner: whether or not to fit the learner (if False, then bypasses any action)
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:param ensure_probabilistic: if True, guarantees that the resulting classifier implements predict_proba (if the
learner is not probabilistic, then a CalibratedCV instance of it is trained)
:param val_split: if specified as a float, indicates the proportion of training instances that will define the
validation split (e.g., 0.3 for using 30% of the training set as validation data); if specified as a
LabelledCollection, represents the validation split itself
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:return: the learner trained on the training set, and the unused data (a _LabelledCollection_ if train_val_split>0
or None otherwise) to be used as a validation set for any subsequent parameter fitting
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"""
if fit_learner:
if ensure_probabilistic:
if not hasattr(learner, 'predict_proba'):
print(f'The learner {learner.__class__.__name__} does not seem to be probabilistic. '
f'The learner will be calibrated.')
learner = CalibratedClassifierCV(learner, cv=5)
if val_split is not None:
if isinstance(val_split, float):
if not (0 < val_split < 1):
raise ValueError(f'train/val split {val_split} out of range, must be in (0,1)')
train, unused = data.split_stratified(train_prop=1-val_split)
elif val_split.__class__.__name__ == LabelledCollection.__name__: #isinstance(val_split, LabelledCollection):
train = data
unused = val_split
else:
raise ValueError(f'param "val_split" ({type(val_split)}) not understood; use either a float indicating the split '
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'proportion, or a LabelledCollection indicating the validation split')
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else:
train, unused = data, None
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if isinstance(learner, BaseQuantifier):
learner.fit(train)
else:
learner.fit(train.instances, train.labels)
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else:
if ensure_probabilistic:
if not hasattr(learner, 'predict_proba'):
raise AssertionError('error: the learner cannot be calibrated since fit_learner is set to False')
unused = data
return learner, unused
# Methods
# ------------------------------------
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class CC(AggregativeQuantifier):
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"""
The most basic Quantification method. One that simply classifies all instances and countes how many have been
attributed each of the classes in order to compute class prevalence estimates.
"""
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def __init__(self, learner:BaseEstimator):
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self.learner = learner
def fit(self, data: LabelledCollection, fit_learner=True):
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"""
Trains the Classify & Count method unless _fit_learner_ is False, in which case it is assumed to be already fit.
:param data: training data
:param fit_learner: if False, the classifier is assumed to be fit
:return: self
"""
self.learner, _ = training_helper(self.learner, data, fit_learner)
return self
def aggregate(self, classif_predictions):
return F.prevalence_from_labels(classif_predictions, self.n_classes)
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class ACC(AggregativeQuantifier):
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def __init__(self, learner:BaseEstimator, val_split=0.4):
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self.learner = learner
self.val_split = val_split
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def fit(self, data: LabelledCollection, fit_learner=True, val_split: Union[float, int, LabelledCollection]=None):
"""
Trains a ACC quantifier
:param data: the training set
:param fit_learner: set to False to bypass the training (the learner is assumed to be already fit)
:param val_split: either a float in (0,1) indicating the proportion of training instances to use for
validation (e.g., 0.3 for using 30% of the training set as validation data), or a LabelledCollection
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indicating the validation set itself, or an int indicating the number k of folds to be used in kFCV
to estimate the parameters
:return: self
"""
if val_split is None:
val_split = self.val_split
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if isinstance(val_split, int):
# kFCV estimation of parameters
y, y_ = [], []
kfcv = StratifiedKFold(n_splits=val_split)
pbar = tqdm(kfcv.split(*data.Xy), total=val_split)
for k, (training_idx, validation_idx) in enumerate(pbar):
pbar.set_description(f'{self.__class__.__name__} fitting fold {k}')
training = data.sampling_from_index(training_idx)
validation = data.sampling_from_index(validation_idx)
learner, val_data = training_helper(self.learner, training, fit_learner, val_split=validation)
y_.append(learner.predict(val_data.instances))
y.append(val_data.labels)
y = np.concatenate(y)
y_ = np.concatenate(y_)
class_count = data.counts()
# fit the learner on all data
self.learner.fit(*data.Xy)
else:
self.learner, val_data = training_helper(self.learner, data, fit_learner, val_split=val_split)
y_ = self.learner.predict(val_data.instances)
y = val_data.labels
class_count = val_data.counts()
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self.cc = CC(self.learner)
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# estimate the matrix with entry (i,j) being the estimate of P(yi|yj), that is, the probability that a
# document that belongs to yj ends up being classified as belonging to yi
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self.Pte_cond_estim_ = confusion_matrix(y, y_).T / class_count
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return self
def classify(self, data):
return self.cc.classify(data)
def aggregate(self, classif_predictions):
prevs_estim = self.cc.aggregate(classif_predictions)
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return ACC.solve_adjustment(self.Pte_cond_estim_, prevs_estim)
@classmethod
def solve_adjustment(cls, PteCondEstim, prevs_estim):
# solve for the linear system Ax = B with A=PteCondEstim and B = prevs_estim
A = PteCondEstim
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B = prevs_estim
try:
adjusted_prevs = np.linalg.solve(A, B)
adjusted_prevs = np.clip(adjusted_prevs, 0, 1)
adjusted_prevs /= adjusted_prevs.sum()
except np.linalg.LinAlgError:
adjusted_prevs = prevs_estim # no way to adjust them!
return adjusted_prevs
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class PCC(AggregativeProbabilisticQuantifier):
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def __init__(self, learner: BaseEstimator):
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self.learner = learner
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def fit(self, data: LabelledCollection, fit_learner=True):
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self.learner, _ = training_helper(self.learner, data, fit_learner, ensure_probabilistic=True)
return self
def aggregate(self, classif_posteriors):
return F.prevalence_from_probabilities(classif_posteriors, binarize=False)
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class PACC(AggregativeProbabilisticQuantifier):
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def __init__(self, learner: BaseEstimator, val_split=0.4):
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self.learner = learner
self.val_split = val_split
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def fit(self, data: LabelledCollection, fit_learner=True, val_split:Union[float, int, LabelledCollection]=None):
"""
Trains a PACC quantifier
:param data: the training set
:param fit_learner: set to False to bypass the training (the learner is assumed to be already fit)
:param val_split: either a float in (0,1) indicating the proportion of training instances to use for
validation (e.g., 0.3 for using 30% of the training set as validation data), or a LabelledCollection
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indicating the validation set itself, or an int indicating the number k of folds to be used in kFCV
to estimate the parameters
:return: self
"""
if val_split is None:
val_split = self.val_split
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if isinstance(val_split, int):
# kFCV estimation of parameters
y, y_ = [], []
kfcv = StratifiedKFold(n_splits=val_split)
pbar = tqdm(kfcv.split(*data.Xy), total=val_split)
for k, (training_idx, validation_idx) in enumerate(pbar):
pbar.set_description(f'{self.__class__.__name__} fitting fold {k}')
training = data.sampling_from_index(training_idx)
validation = data.sampling_from_index(validation_idx)
learner, val_data = training_helper(
self.learner, training, fit_learner, ensure_probabilistic=True, val_split=validation)
y_.append(learner.predict_proba(val_data.instances))
y.append(val_data.labels)
y = np.concatenate(y)
y_ = np.vstack(y_)
# fit the learner on all data
self.learner.fit(*data.Xy)
else:
self.learner, val_data = training_helper(
self.learner, data, fit_learner, ensure_probabilistic=True, val_split=val_split)
y_ = self.learner.predict_proba(val_data.instances)
y = val_data.labels
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self.pcc = PCC(self.learner)
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# estimate the matrix with entry (i,j) being the estimate of P(yi|yj), that is, the probability that a
# document that belongs to yj ends up being classified as belonging to yi
confusion = np.empty(shape=(data.n_classes, data.n_classes))
for yi in range(data.n_classes):
confusion[yi] = y_[y==yi].mean(axis=0)
self.Pte_cond_estim_ = confusion.T
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return self
def aggregate(self, classif_posteriors):
prevs_estim = self.pcc.aggregate(classif_posteriors)
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return ACC.solve_adjustment(self.Pte_cond_estim_, prevs_estim)
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def classify(self, data):
return self.pcc.classify(data)
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class EMQ(AggregativeProbabilisticQuantifier):
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MAX_ITER = 1000
EPSILON = 1e-4
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def __init__(self, learner: BaseEstimator):
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self.learner = learner
def fit(self, data: LabelledCollection, fit_learner=True):
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self.learner, _ = training_helper(self.learner, data, fit_learner, ensure_probabilistic=True)
self.train_prevalence = F.prevalence_from_labels(data.labels, self.n_classes)
return self
def aggregate(self, classif_posteriors, epsilon=EPSILON):
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priors, posteriors = self.EM(self.train_prevalence, classif_posteriors, epsilon)
return priors
def predict_proba(self, instances, epsilon=EPSILON):
classif_posteriors = self.learner.predict_proba(instances)
priors, posteriors = self.EM(self.train_prevalence, classif_posteriors, epsilon)
return posteriors
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@classmethod
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def EM(cls, tr_prev, posterior_probabilities, epsilon=EPSILON):
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Px = posterior_probabilities
Ptr = np.copy(tr_prev)
qs = np.copy(Ptr) # qs (the running estimate) is initialized as the training prevalence
s, converged = 0, False
qs_prev_ = None
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while not converged and s < EMQ.MAX_ITER:
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# E-step: ps is Ps(y=+1|xi)
ps_unnormalized = (qs / Ptr) * Px
ps = ps_unnormalized / ps_unnormalized.sum(axis=1).reshape(-1,1)
# M-step: qs_pos is Ps+1(y=+1)
qs = ps.mean(axis=0)
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if qs_prev_ is not None and qp.error.mae(qs, qs_prev_) < epsilon and s>10:
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converged = True
qs_prev_ = qs
s += 1
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if not converged:
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#raise UserWarning('the method has reached the maximum number of iterations; it might have not converged')
print('[warning] the method has reached the maximum number of iterations; it might have not converged')
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return qs, ps
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class HDy(AggregativeProbabilisticQuantifier, BinaryQuantifier):
"""
Implementation of the method based on the Hellinger Distance y (HDy) proposed by
González-Castro, V., Alaiz-Rodrı́guez, R., and Alegre, E. (2013). Class distribution
estimation based on the Hellinger distance. Information Sciences, 218:146164.
"""
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def __init__(self, learner: BaseEstimator, val_split=0.4):
self.learner = learner
self.val_split = val_split
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def fit(self, data: LabelledCollection, fit_learner=True, val_split: Union[float, LabelledCollection]=None):
"""
Trains a HDy quantifier
:param data: the training set
:param fit_learner: set to False to bypass the training (the learner is assumed to be already fit)
:param val_split: either a float in (0,1) indicating the proportion of training instances to use for
validation (e.g., 0.3 for using 30% of the training set as validation data), or a LabelledCollection
indicating the validation set itself
:return: self
"""
if val_split is None:
val_split = self.val_split
self._check_binary(data, self.__class__.__name__)
self.learner, validation = training_helper(
self.learner, data, fit_learner, ensure_probabilistic=True, val_split=val_split)
Px = self.posterior_probabilities(validation.instances)[:,1] # takes only the P(y=+1|x)
self.Pxy1 = Px[validation.labels == 1]
self.Pxy0 = Px[validation.labels == 0]
# pre-compute the histogram for positive and negative examples
self.bins = np.linspace(10, 110, 11, dtype=int) #[10, 20, 30, ..., 100, 110]
self.Pxy1_density = {bins: np.histogram(self.Pxy1, bins=bins, range=(0, 1), density=True)[0] for bins in self.bins}
self.Pxy0_density = {bins: np.histogram(self.Pxy0, bins=bins, range=(0, 1), density=True)[0] for bins in self.bins}
return self
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def aggregate(self, classif_posteriors):
# "In this work, the number of bins b used in HDx and HDy was chosen from 10 to 110 in steps of 10,
# and the final estimated a priori probability was taken as the median of these 11 estimates."
# (González-Castro, et al., 2013).
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Px = classif_posteriors[:,1] # takes only the P(y=+1|x)
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prev_estimations = []
#for bins in np.linspace(10, 110, 11, dtype=int): #[10, 20, 30, ..., 100, 110]
#Pxy0_density, _ = np.histogram(self.Pxy0, bins=bins, range=(0, 1), density=True)
#Pxy1_density, _ = np.histogram(self.Pxy1, bins=bins, range=(0, 1), density=True)
for bins in self.bins:
Pxy0_density = self.Pxy0_density[bins]
Pxy1_density = self.Pxy1_density[bins]
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Px_test, _ = np.histogram(Px, bins=bins, range=(0, 1), density=True)
prev_selected, min_dist = None, None
for prev in F.prevalence_linspace(n_prevalences=100, repeat=1, smooth_limits_epsilon=0.0):
Px_train = prev*Pxy1_density + (1 - prev)*Pxy0_density
hdy = F.HellingerDistance(Px_train, Px_test)
if prev_selected is None or hdy < min_dist:
prev_selected, min_dist = prev, hdy
prev_estimations.append(prev_selected)
pos_class_prev = np.median(prev_estimations)
return np.asarray([1-pos_class_prev, pos_class_prev])
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class ELM(AggregativeQuantifier, BinaryQuantifier):
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def __init__(self, svmperf_base, loss, **kwargs):
self.svmperf_base = svmperf_base
self.loss = loss
self.kwargs = kwargs
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self.learner = SVMperf(self.svmperf_base, loss=self.loss, **self.kwargs)
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def fit(self, data: LabelledCollection, fit_learner=True):
self._check_binary(data, self.__class__.__name__)
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assert fit_learner, 'the method requires that fit_learner=True'
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self.learner.fit(data.instances, data.labels)
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return self
def aggregate(self, classif_predictions:np.ndarray):
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return F.prevalence_from_labels(classif_predictions, self.learner.n_classes_)
def classify(self, X, y=None):
return self.learner.predict(X)
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class SVMQ(ELM):
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def __init__(self, svmperf_base, **kwargs):
super(SVMQ, self).__init__(svmperf_base, loss='q', **kwargs)
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class SVMKLD(ELM):
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def __init__(self, svmperf_base, **kwargs):
super(SVMKLD, self).__init__(svmperf_base, loss='kld', **kwargs)
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class SVMNKLD(ELM):
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def __init__(self, svmperf_base, **kwargs):
super(SVMNKLD, self).__init__(svmperf_base, loss='nkld', **kwargs)
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class SVMAE(ELM):
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def __init__(self, svmperf_base, **kwargs):
super(SVMAE, self).__init__(svmperf_base, loss='mae', **kwargs)
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class SVMRAE(ELM):
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def __init__(self, svmperf_base, **kwargs):
super(SVMRAE, self).__init__(svmperf_base, loss='mrae', **kwargs)
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ClassifyAndCount = CC
AdjustedClassifyAndCount = ACC
ProbabilisticClassifyAndCount = PCC
ProbabilisticAdjustedClassifyAndCount = PACC
ExpectationMaximizationQuantifier = EMQ
HellingerDistanceY = HDy
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ExplicitLossMinimisation = ELM
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class OneVsAll(AggregativeQuantifier):
"""
Allows any binary quantifier to perform quantification on single-label datasets. The method maintains one binary
quantifier for each class, and then l1-normalizes the outputs so that the class prevelences sum up to 1.
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This variant was used, along with the ExplicitLossMinimization quantifier in
Gao, W., Sebastiani, F.: From classification to quantification in tweet sentiment analysis.
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Social Network Analysis and Mining 6(19), 122 (2016)
"""
def __init__(self, binary_quantifier, n_jobs=-1):
self.binary_quantifier = binary_quantifier
self.n_jobs = n_jobs
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def fit(self, data: LabelledCollection, fit_learner=True):
assert not data.binary, \
f'{self.__class__.__name__} expect non-binary data'
assert isinstance(self.binary_quantifier, BaseQuantifier), \
f'{self.binary_quantifier} does not seem to be a Quantifier'
assert fit_learner==True, 'fit_learner must be True'
self.dict_binary_quantifiers = {c: deepcopy(self.binary_quantifier) for c in data.classes_}
self.__parallel(self._delayed_binary_fit, data)
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return self
def classify(self, instances):
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# returns a matrix of shape (n,m) with n the number of instances and m the number of classes. The entry
# (i,j) is a binary value indicating whether instance i belongs to class j. The binary classifications are
# independent of each other, meaning that an instance can end up be attributed to 0, 1, or more classes.
classif_predictions_bin = self.__parallel(self._delayed_binary_classification, instances)
return classif_predictions_bin.T
def posterior_probabilities(self, instances):
# returns a matrix of shape (n,m,2) with n the number of instances and m the number of classes. The entry
# (i,j,1) (resp. (i,j,0)) is a value in [0,1] indicating the posterior probability that instance i belongs
# (resp. does not belong) to class j.
# The posterior probabilities are independent of each other, meaning that, in general, they do not sum
# up to one.
if not self.binary_quantifier.probabilistic:
raise NotImplementedError(f'{self.__class__.__name__} does not implement posterior_probabilities because '
f'the base quantifier {self.binary_quantifier.__class__.__name__} is not '
f'probabilistic')
posterior_predictions_bin = self.__parallel(self._delayed_binary_posteriors, instances)
return np.swapaxes(posterior_predictions_bin, 0, 1)
def aggregate(self, classif_predictions_bin):
if self.probabilistic:
assert classif_predictions_bin.shape[1]==self.n_classes and classif_predictions_bin.shape[2]==2, \
'param classif_predictions_bin does not seem to be a valid matrix (ndarray) of posterior ' \
'probabilities (2 dimensions) for each document (row) and class (columns)'
else:
assert set(np.unique(classif_predictions_bin)).issubset({0,1}), \
'param classif_predictions_bin does not seem to be a valid matrix (ndarray) of binary ' \
'predictions for each document (row) and class (columns)'
prevalences = self.__parallel(self._delayed_binary_aggregate, classif_predictions_bin)
return F.normalize_prevalence(prevalences)
def quantify(self, X):
if self.probabilistic:
predictions = self.posterior_probabilities(X)
else:
predictions = self.classify(X)
return self.aggregate(predictions)
def __parallel(self, func, *args, **kwargs):
return np.asarray(
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Parallel(n_jobs=self.n_jobs, backend='threading')(
delayed(func)(c, *args, **kwargs) for c in self.classes
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)
)
@property
def classes(self):
return sorted(self.dict_binary_quantifiers.keys())
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def set_params(self, **parameters):
self.binary_quantifier.set_params(**parameters)
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def get_params(self, deep=True):
return self.binary_quantifier.get_params()
def _delayed_binary_classification(self, c, X):
return self.dict_binary_quantifiers[c].classify(X)
def _delayed_binary_posteriors(self, c, X):
return self.dict_binary_quantifiers[c].posterior_probabilities(X)
def _delayed_binary_aggregate(self, c, classif_predictions):
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# the estimation for the positive class prevalence
return self.dict_binary_quantifiers[c].aggregate(classif_predictions[:, c])[1]
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def _delayed_binary_fit(self, c, data):
bindata = LabelledCollection(data.instances, data.labels == c, n_classes=2)
self.dict_binary_quantifiers[c].fit(bindata)
@property
def binary(self):
return False
@property
def probabilistic(self):
return self.binary_quantifier.probabilistic
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