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When machine learning (ML) algorithms are used in mission-critical domains (e.g., self-driving cars, cyber security) or life-critical domains (e.g., surgical robotics), it is often important to ensure that the learned models satisfy some high-level correctness requirements — these requirements can be instantiated in particular domains via constraints like safety (e.g., a robot arm should not come within five meters of any human operator during any phase of performing an autonomous operation) or liveness (e.g., a car should eventually cross a 4-way intersection). Such constraints can be formally described in propositional logic, first order logic or temporal logics such as Probabilistic Computation Tree Logic (PCTL)[31]. For example, in a lane change controller we can enforce the following PCTL safety property on seeing a slow-moving truck in front: Pr>0.99[F(changedLane or reducedSpeed)] , where F is the eventually operator in PCTL logic — this property states that the car should eventually change lanes or reduce speed with high probability (greater than 0.99). Trusted Machine Learning (TML) refers to a learning methodology that ensures that the specified properties are satisfied.more » « less
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