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Applications in robotics and human computer interaction demand low system latency, but systems that process conventional Nyquist sampled sensor input burn lots of power to process inputs at the high sample rate needed to achieve the required latency. The DNN accelerators and event sensors developed by our group and others overcome this tradeoff by using brain-inspired data-driven sensing and inference. These devices can always be quick to respond when needed and dissipate almost no power at other times. I will show results from our lab using our event sensors that demonstrate this principle. I will also discuss our convolutional and recurrent deep neural network accelerators that also exploit activation sparsity to achieve state of the art power efficiency, throughput, and latency. 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