Is margin preserved after random projection?
  Random projections have been applied in many machine learning algorithms. However, whether margin is preserved after random projection is non-trivial and not well studied. In this paper we analyse margin distortion after random projection, and give the conditions of margin preservation for binary classification problems. We also extend our analysis to margin for multiclass problems, and provide theoretical bounds on multiclass margin on the projected data. 
Qinfeng Shi (The University of Adelaide), Chunhua Shen (The University   of Adelaide), Rhys Hill (The University of Adelaide...
cs.LG cs.CV stat.ML