adapt.instance_based.TrAdaBoost

class adapt.instance_based.TrAdaBoost(estimator=None, Xt=None, yt=None, n_estimators=10, lr=1.0, copy=True, verbose=1, random_state=None, **params)[source]

Transfer AdaBoost for Classification

TrAdaBoost algorithm is a supervised instances-based domain adaptation method suited for classification tasks.

The method is based on a “reverse boosting” principle where the weights of source instances poorly predicted decrease at each boosting iteration whereas the ones of target instances increase.

The algorithm performs the following steps:

  • 1. Normalize weights: \(\sum w_S + \sum w_T = 1\).

  • 2. Fit an estimator \(f\) on source and target labeled data \((X_S, y_S), (X_T, y_T)\) with the respective importances weights: \(w_S, w_T\).

  • 3. Compute error vectors of training instances:

    • \(\epsilon_S = L_{01}(f(X_S), y_S)\).

    • \(\epsilon_T = L_{01}(f(X_T), y_T)\).

  • 4. Compute total weighted error of target instances: \(E_T = \frac{1}{n_T} w_T^T \epsilon_T\).

  • 5. Update source and target weights:

    • \(w_S = w_S \beta^{\epsilon_S}\).

    • \(w_T = w_T \beta_T^{-\epsilon_T}\).

    Where:

    • \(\beta = 1 \setminus (1 + \sqrt{2 \text{ln} n_S \setminus N})\).

    • \(\beta_T = E_T \setminus (1 - E_T)\).

  • 6. Return to step 1 and loop until the number \(N\) of boosting iteration is reached.

The prediction are then given by the vote of the \(N \setminus 2\) last computed estimators weighted by their respective parameter \(\beta_T\).

Parameters
estimatorsklearn estimator or tensorflow Model (default=None)

Estimator used to learn the task. If estimator is None, a LinearRegression instance is used as estimator.

Xtnumpy array (default=None)

Target input data.

ytnumpy array (default=None)

Target output data.

n_estimatorsint (default=10)

Number of boosting iteration.

lrfloat (default=1.)

Learning rate. For higher lr, the sample weights are updating faster.

copyboolean (default=True)

Whether to make a copy of estimator or not.

verboseint (default=1)

Verbosity level.

random_stateint (default=None)

Seed of random generator.

paramskey, value arguments

Arguments given at the different level of the adapt object. It can be, for instance, compile or fit parameters of the estimator or kernel parameters etc… Accepted parameters can be found by calling the method _get_legal_params(params).

References

1

[1] Dai W., Yang Q., Xue G., and Yu Y. “Boosting for transfer learning”. In ICML, 2007.

Examples

>>> from sklearn.linear_model import RidgeClassifier
>>> from adapt.utils import make_classification_da
>>> from adapt.instance_based import TrAdaBoost
>>> Xs, ys, Xt, yt = make_classification_da()
>>> model = TrAdaBoost(RidgeClassifier(), n_estimators=10, Xt=Xt[:10], yt=yt[:10], random_state=0)
>>> model.fit(Xs, ys)
Iteration 0 - Error: 0.2550
Iteration 1 - Error: 0.2820
Iteration 2 - Error: 0.3011
Iteration 3 - Error: 0.3087
Iteration 4 - Error: 0.3046
Iteration 5 - Error: 0.2933
Iteration 6 - Error: 0.2819
Iteration 7 - Error: 0.2747
Iteration 8 - Error: 0.2712
Iteration 9 - Error: 0.2698
>>> model.score(Xt, yt)
0.66
Attributes
estimators_list of object

List of fitted estimators

estimator_errors_1D array of float

Array of weighted estimator errors computed on labeled target data.

estimator_weights_1D array of float

Array of estimator importance weights.

sample_weights_src_list of numpy arrays

List of source sample weight for each iteration.

sample_weights_tgt_list of numpy arrays

List of target sample weight for each iteration.

Methods

__init__([estimator, Xt, yt, n_estimators, ...])

fit(X, y[, Xt, yt, sample_weight_src, ...])

Fit TrAdaBoost

fit_estimator(X, y[, sample_weight, ...])

Fit estimator on X, y.

get_params([deep])

Get parameters for this estimator.

predict(X)

Return weighted vote of estimators.

predict_estimator(X, **predict_params)

Return estimator predictions for X.

predict_weights([domain])

Return sample weights.

score(X, y)

Return the TrAdaboost score on X, y.

set_params(**params)

Set the parameters of this estimator.

unsupervised_score(Xs, Xt)

Return unsupervised score.

__init__(estimator=None, Xt=None, yt=None, n_estimators=10, lr=1.0, copy=True, verbose=1, random_state=None, **params)[source]
fit(X, y, Xt=None, yt=None, sample_weight_src=None, sample_weight_tgt=None, **fit_params)[source]

Fit TrAdaBoost

Parameters
Xnumpy array

Source input data.

ynumpy array

Source output data.

Xtarray (default=None)

Target input data. If None, the Xt argument given in init is used.

ytarray (default=None)

Target input data. If None, the Xt argument given in init is used.

sample_weight_srcnumpy array, (default=None)

Initial sample weight of source data

sample_weight_tgtnumpy array, (default=None)

Initial sample weight of target data

fit_paramskey, value arguments

Arguments given to the fit method of the estimator.

Returns
selfreturns an instance of self
Other Parameters
Xtarray (default=self.Xt)

Target input data.

ytarray (default=self.yt)

Target output data.

fit_estimator(X, y, sample_weight=None, random_state=None, warm_start=True, **fit_params)[source]

Fit estimator on X, y.

Parameters
Xarray

Input data.

yarray

Output data.

sample_weightarray

Importance weighting.

random_stateint (default=None)

Seed of the random generator

warm_startbool (default=True)

If True, continue to fit estimator_, else, a new estimator is fitted based on a copy of estimator. (Be sure to set copy=True to use warm_start=False)

fit_paramskey, value arguments

Arguments given to the fit method of the estimator and to the compile method for tensorflow estimator.

Returns
estimator_fitted estimator
get_params(deep=True)[source]

Get parameters for this estimator.

Parameters
deepbool, default=True

Not used, here for scikit-learn compatibility.

Returns
paramsdict

Parameter names mapped to their values.

predict(X)[source]

Return weighted vote of estimators.

Parameters
Xarray

Input data.

Returns
y_predarray

Vote results.

predict_estimator(X, **predict_params)[source]

Return estimator predictions for X.

Parameters
Xarray

input data

Returns
y_predarray

prediction of estimator.

predict_weights(domain='src')[source]

Return sample weights.

Return the final importance weighting.

You can secify between “source” and “target” weights with the domain parameter.

Parameters
domainstr (default=”tgt”)

Choose between "source", "src" and "target", "tgt".

Returns
weightssource sample weights
score(X, y)[source]

Return the TrAdaboost score on X, y.

Parameters
Xarray

input data

yarray

output data

Returns
scorefloat

estimator score.

set_params(**params)[source]

Set the parameters of this estimator.

Parameters
**paramsdict

Estimator parameters.

Returns
selfestimator instance

Estimator instance.

unsupervised_score(Xs, Xt)[source]

Return unsupervised score.

The normalized discrepancy distance is computed between the reweighted/transformed source input data and the target input data.

Parameters
Xsarray

Source input data.

Xtarray

Source input data.

Returns
scorefloat

Unsupervised score.

Examples