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aifer4 | 2 years ago

Had a quick read of [3]. This work comments on three contributions to the error in an analog scheme to solve linear systems via an ODE that is encoded in the circuit dynamics, although the specific ODE being solved is not given in the paper. The three sources addressed are: gain error, offset error, and nonlinearity. It is mentioned that the first two can be corrected by calibration, while the nonlinearity error can be mitigated by scaling down the inputs to the problem (the matrix A and vector b in the equation Ax = b). It says that scaling down the problem results in lower accuracy, which I suspect can be captured by the tradeoff we show analytically between time, energy, and accuracy. It is also mentioned that “when the analog accelerator outputs are steady, we can sample the solutions once with higher-precision ADCs. However, the method here does not involve time-averaging the output of the circuit. A core result of our paper is that the accuracy converges with the length of time over which the output is averaged, so I suspect that taking a single sample is a drawback of the method presented here.

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