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Researchers introduce fully trainable connection optimization for logic gate and lookup table networks

A new method enables partial or full optimization of connections in deep differentiable logic gate networks (LGNs) and lookup table networks (LUTNs) by learning a probability distribution over connections per input pin. The approach outperforms standard fixed-connection LGNs on Yin-Yang, MNIST, and Fashion-MNIST benchmarks while requiring fewer resources.

0 engagement·1 source·Fri, Jul 10, 2026, 01:24 PM
The paper presents a training technique that jointly optimizes both the connections and the gate types (or LUT entries) in differentiable logic gate networks. For each input pin, a probability distribution over a set of candidate connections is maintained, and the connection with the highest probability is selected during forward passes. This allows the network to learn which inputs to use, effectively pruning irrelevant connections. Experiments show that connection-optimized LGNs achieve higher accuracy than fixed-connection counterparts on three benchmarks: Yin-Yang, MNIST Handwritten Digits, and Fashion-MNIST. The method also reduces the number of required gates or LUTs, leading to more efficient inference. The work is published on arXiv.

Entities

Logic Gate Networks (LGNs)(concept)Lookup Table Networks (LUTNs)(concept)Yin-Yang(benchmark)MNIST Handwritten Digits(benchmark)Fashion-MNIST(benchmark)

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