# scikit-learn__scikit-learn-13241
# Loki Mode Multi-Agent Patch
# Attempts: 1

--- a/sklearn/decomposition/kernel_pca.py
+++ b/sklearn/decomposition/kernel_pca.py
@@ -11,6 +11,7 @@ from scipy.linalg import eigh
 
 from ..utils import check_random_state
 from ..utils.validation import check_is_fitted, check_array
+from ..utils.extmath import svd_flip
 from ..exceptions import NotFittedError
 from ..base import BaseEstimator, TransformerMixin, _UnstableOn32BitMixin
 from ..preprocessing import KernelCenterer
@@ -183,6 +184,11 @@ class KernelPCA(BaseEstimator, TransformerMixin, _UnstableOn32BitMixin):
             self.alphas_ = self.alphas_[:, indices]
             self.lambdas_ = self.lambdas_[indices]
 
+        # flip eigenvectors' sign to enforce deterministic output
+        self.alphas_, _ = svd_flip(self.alphas_,
+                                   np.zeros_like(self.alphas_).T)
+
+
         # remove eigenvectors with a zero eigenvalue
         if self.remove_zero_eig or self.n_components is None:
             self.alphas_ = self.alphas_[:, self.lambdas_ > 0]