Formally Verifying Analog Neural Networks with Device Mismatch Variations

Yasmine Abu-Haeyeh, Thomas Bartelsmeier, Tobias Ladner, Matthias Althoff, Lars Hedrich, Markus Olbrich · 2025

Training and running inference of large neural networks comes with excessive cost and power consumption. Thus, realizing these networks as analog circuits is an energy-and areaefficient alternative. However, analog neural networks suffer from inherent deviations within their circuits, requiring extensive testing for their correct behavior under these deviations. Unfortunately, tests based on Monte Carlo simulations are extremely time- and resource-intensive. We present an alternative approach to proving the correctness of the neural network using formal neural network verification techniques and developing a modeling methodology for these analog neural circuits. Our experimental results compare two methods based on reachability analysis showing their effectiveness by reducing the test time from days to milliseconds. Thus, they offer a faster, more scalable solution for verifying the correctness of analog neural circuits.

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