Source code for alibi_detect.cd.tensorflow.mmd

import logging
import numpy as np
import tensorflow as tf
from typing import Callable, Dict, Optional, Tuple, Union
from alibi_detect.cd.base import BaseMMDDrift
from alibi_detect.utils.tensorflow.distance import mmd2_from_kernel_matrix
from alibi_detect.utils.tensorflow.kernels import GaussianRBF
from alibi_detect.utils.warnings import deprecated_alias
from alibi_detect.utils.frameworks import Framework

logger = logging.getLogger(__name__)


[docs]class MMDDriftTF(BaseMMDDrift):
[docs] @deprecated_alias(preprocess_x_ref='preprocess_at_init') def __init__( self, x_ref: Union[np.ndarray, list], p_val: float = .05, x_ref_preprocessed: bool = False, preprocess_at_init: bool = True, update_x_ref: Optional[Dict[str, int]] = None, preprocess_fn: Optional[Callable] = None, kernel: Callable = GaussianRBF, sigma: Optional[np.ndarray] = None, configure_kernel_from_x_ref: bool = True, n_permutations: int = 100, input_shape: Optional[tuple] = None, data_type: Optional[str] = None ) -> None: """ Maximum Mean Discrepancy (MMD) data drift detector using a permutation test. Parameters ---------- x_ref Data used as reference distribution. p_val p-value used for the significance of the permutation test. x_ref_preprocessed Whether the given reference data `x_ref` has been preprocessed yet. If `x_ref_preprocessed=True`, only the test data `x` will be preprocessed at prediction time. If `x_ref_preprocessed=False`, the reference data will also be preprocessed. preprocess_at_init Whether to preprocess the reference data when the detector is instantiated. Otherwise, the reference data will be preprocessed at prediction time. Only applies if `x_ref_preprocessed=False`. update_x_ref Reference data can optionally be updated to the last n instances seen by the detector or via reservoir sampling with size n. For the former, the parameter equals {'last': n} while for reservoir sampling {'reservoir_sampling': n} is passed. preprocess_fn Function to preprocess the data before computing the data drift metrics. kernel Kernel used for the MMD computation, defaults to Gaussian RBF kernel. sigma Optionally set the GaussianRBF kernel bandwidth. Can also pass multiple bandwidth values as an array. The kernel evaluation is then averaged over those bandwidths. configure_kernel_from_x_ref Whether to already configure the kernel bandwidth from the reference data. n_permutations Number of permutations used in the permutation test. input_shape Shape of input data. data_type Optionally specify the data type (tabular, image or time-series). Added to metadata. """ super().__init__( x_ref=x_ref, p_val=p_val, x_ref_preprocessed=x_ref_preprocessed, preprocess_at_init=preprocess_at_init, update_x_ref=update_x_ref, preprocess_fn=preprocess_fn, sigma=sigma, configure_kernel_from_x_ref=configure_kernel_from_x_ref, n_permutations=n_permutations, input_shape=input_shape, data_type=data_type ) self.meta.update({'backend': Framework.TENSORFLOW.value}) # initialize kernel if isinstance(sigma, np.ndarray): sigma = tf.convert_to_tensor(sigma) self.kernel = kernel(sigma) if kernel == GaussianRBF else kernel # compute kernel matrix for the reference data if self.infer_sigma or isinstance(sigma, tf.Tensor): self.k_xx = self.kernel(self.x_ref, self.x_ref, infer_sigma=self.infer_sigma) self.infer_sigma = False else: self.k_xx, self.infer_sigma = None, True
[docs] def kernel_matrix(self, x: Union[np.ndarray, tf.Tensor], y: Union[np.ndarray, tf.Tensor]) -> tf.Tensor: """ Compute and return full kernel matrix between arrays x and y. """ k_xy = self.kernel(x, y, self.infer_sigma) k_xx = self.k_xx if self.k_xx is not None and self.update_x_ref is None else self.kernel(x, x) k_yy = self.kernel(y, y) kernel_mat = tf.concat([tf.concat([k_xx, k_xy], 1), tf.concat([tf.transpose(k_xy, (1, 0)), k_yy], 1)], 0) return kernel_mat
[docs] def score(self, x: Union[np.ndarray, list]) -> Tuple[float, float, float]: """ Compute the p-value resulting from a permutation test using the maximum mean discrepancy as a distance measure between the reference data and the data to be tested. Parameters ---------- x Batch of instances. Returns ------- p-value obtained from the permutation test, the MMD^2 between the reference and test set, \ and the MMD^2 threshold above which drift is flagged. """ x_ref, x = self.preprocess(x) # compute kernel matrix, MMD^2 and apply permutation test using the kernel matrix n = x.shape[0] kernel_mat = self.kernel_matrix(x_ref, x) kernel_mat = kernel_mat - tf.linalg.diag(tf.linalg.diag_part(kernel_mat)) # zero diagonal mmd2 = mmd2_from_kernel_matrix(kernel_mat, n, permute=False, zero_diag=False).numpy() mmd2_permuted = np.array( [mmd2_from_kernel_matrix(kernel_mat, n, permute=True, zero_diag=False).numpy() for _ in range(self.n_permutations)] ) p_val = (mmd2 <= mmd2_permuted).mean() # compute distance threshold idx_threshold = int(self.p_val * len(mmd2_permuted)) distance_threshold = np.sort(mmd2_permuted)[::-1][idx_threshold] return p_val, mmd2, distance_threshold