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
• SPSA: Sindh Punjabi Student Association

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