class_docstr: Performs utility analysis for DP aggregations.
  
  This class reuses the computation graph from the DP computation code by
  subclassing from pipeline_dp.DPEngine and by replacing some nodes of the
  computational graph from DP computation to analysis.
class_docstr_tok: ["Performs","utility","analysis","for","DP","aggregations",".","This","class","reuses","the","computation","graph","from","the","DP","computation","code","by","subclassing","from","pipeline_dp.DPEngine","and","by","replacing","some","nodes","of","the","computational","graph","from","DP","computation","to","analysis","."]
code: def _annotate(self, col, params, budget):
      # Annotations are not needed because DP computations are not performed.
      return col
  
imports: import copy
  from typing import Optional, Union
  import pipeline_dp
  from pipeline_dp import budget_accounting
  from pipeline_dp import combiners
  from pipeline_dp import contribution_bounders
  from pipeline_dp import pipeline_backend
  import analysis
  import analysis.contribution_bounders
  from analysis import per_partition_combiners
  from analysis import data_structures
label_desc: Use image node_id 9 for calling the UtilityAnalysisEngine obj's underlying member method code with example usage: obj._annotate(col, params, budget) and returns: col