Lead Zirconate Titanate Reservoir Computing for Classification of Written and Spoken Digits

arXiv cs.LG / 4/2/2026

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Key Points

  • The paper extends prior work on physical reservoir computing by using an unpoled cube of Lead Zirconate Titanate (PZT) as the computational substrate to classify handwritten and spoken digits.
  • On MNIST handwritten digits, the PZT-based reservoir reaches 89.0% accuracy, improving on logistic regression baselines by 2.4 percentage points on the same preprocessed data.
  • On AudioMNIST spoken digits, the reservoir achieves 88.2% accuracy, which is essentially equivalent to baseline performance (88.1%), indicating limited gains for this dataset.
  • The authors argue that physical reservoir computing is most beneficial for “intermediate difficulty” classification problems where linear methods fall short but the task remains solvable by the reservoir dynamics.
  • Because PZT is already used in semiconductor applications, the study highlights a potential low-power path to integrate physical reservoir computing with digital algorithms.

Abstract

In this paper we extend our earlier work of (Rietman et al. 2022) presenting an application of physical Reservoir Computing (RC) to the classification of handwritten and spoken digits. We utilize an unpoled cube of Lead Zirconate Titanate (PZT) as a computational substrate to process these datasets. Our results demonstrate that the PZT reservoir achieves 89.0% accuracy on MNIST handwritten digits, representing a 2.4 percentage point improvement over logistic regression baselines applied to the same preprocessed data. However, for the AudioMNIST spoken digits dataset, the reservoir system (88.2% accuracy) performs equivalently to baseline methods (88.1% accuracy), suggesting that reservoir computing provides the greatest benefits for classification tasks of intermediate difficulty where linear methods underperform but the problem remains learnable. PZT is a well-known material already used in semiconductor applications, presenting a low-power computational substrate that can be integrated with digital algorithms. Our findings indicate that physical reservoirs excel when the task difficulty exceeds the capability of simple linear classifiers but remains within the computational capacity of the reservoir dynamics.