code: def hadamard_low_rank_subsample(U, P, rho):
      """Hadamard multiply U and P component-wise (1st), with Nyström type subsampling."""
      rankU = U.shape[2]
      rankP = P.shape[2]
      permut = np.sort(
          np.random.permutation(range(rankU * rankP))[range(rho)]
      )
      return (np.tile(U, rankP) * np.repeat(P, rankU, 2))[:, :, permut]
  
imports: import collections
  from functools import partial
  import numpy
  from scipy.sparse.linalg import svds
  from sklearn.base import BaseEstimator, TransformerMixin
  from sktime.dists_kernels.base import BasePairwiseTransformerPanel
label_desc: Use image node_id 25 for calling a global function with example usage: hadamard_low_rank_subsample(U, P, rho) and returns: unknown