Forward-only learning in memristor arrays with month-scale stability

Abstract

Turning memristor arrays from efficient inference engines into systems capable of on-chip learning has proved difficult. Weight updates have a high energy cost and cause device wear, analog states drift, and backpropagation requires a backward pass with reversed signal flow. Here we experimentally demonstrate learning on standard filamentary HfOx/Ti arrays that addresses these challenges with two design choices. First, we rely on forward-only training algorithms in the Forward-Forward family that use only inference-style operations. Second, we use sub-1 V reset-only, single-pulse updates that cut energy and yield stable analog states. We first validate fully in-hardware single-layer learning, where both analog MAC operations and sub-1 V programming updates are performed on chip. We then train two-layer classifiers on an ImageNet-resolution four-class task using a hardware-in-the-loop protocol on arrays up to 8,064 devices: all conductance reads and programming updates are physical, and multilayer MACs are emulated in software from the measured conductances. Two forward-only variants, two-pass supervised Forward-Forward and a single-pass competitive rule, achieve test accuracies of 89.5% and 89.6%, respectively; a reference experiment using backpropagation reaches 90.0%. Across five independent runs per method, these accuracies are indistinguishable within statistical uncertainty. Trained models retain accuracy for at least one month under ambient conditions and remain stable under an aggressive 25 h read-disturb protocol, whereas a matched set-based Write&Verify baseline loses nearly three percentage points of test accuracy. At the array level, sub-1 V reset updates use 460 times less energy than conventional program-and-verify programming and require just 46% more energy than inference-only operation.