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SPSA can refer to:

  • Scottish Police Services Authority, a public body of the Scottish Government responsible for certain central services for police forces
  • Southeastern Public Service Authority, the solid waste management agency for the one-million-population region south of Hampton Roads Harbor and the lower James River in Virginia, United States
  • Simultaneous perturbation stochastic approximation, a stochastic method for optimization, especially appropriate for multivariable problems
  • Sindh Punjabi Student Association
  • Somerset Prostate Support Association, a UK charity providing support to men who have prostate problems including prostate cancer and support to their families