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An all-transistor physical-learning transformer can be trained to perform in-context learning

Most systems trained by equilibrium propagation or coupled learning are in the same class as multi-layer perceptrons: while they may be universal function approximators, they struggle to learn associative tasks which are easy for transformers.

By Michael C. Abbott, Benjamin B. MachtaarXiv cs.LG

This research presents a novel physical-learning transformer architecture using all-transistor circuits to enable in-context learning, addressing limitations in traditional equilibrium propagation and coupled learning systems.

What happened

Researchers developed an all-transistor circuit implementing a physical-learning transformer. By modifying circuit architecture to maintain bidirectional information flow, they created an attention mechanism using MOSFETs. The system was trained using cross-entropy loss and a novel floating circuit element, achieving in-context learning capabilities despite hardware limitations.

Why it matters

This work advances neuromorphic computing by demonstrating hardware-compatible transformer architectures. It addresses challenges in physical systems performing associative learning, which could impact energy-efficient AI implementations and analog computing research.

  • Bidirectional circuit design is critical for physical learning systems
  • MOSFET-based attention mechanisms offer hardware efficiency
  • Cross-entropy loss is essential for training physical transformers
  • Capacitor-based memory improves optimizer performance
  • Approximate gradient transmission can still enable in-context learning

The bigger picture

The approach provides a hardware-oriented framework for implementing transformer-like learning in physical systems, potentially influencing low-power AI hardware design and analog computing architectures.

This study introduces a physically implemented transformer architecture using transistor circuits, demonstrating the feasibility of in-context learning in hardware systems through novel circuit design and training methods.

Technical details

  • Double/dyadic circuit architecture for bidirectional information flow
  • Sub-threshold MOSFET exponential current law for attention mechanisms
  • Cross-entropy loss implementation with novel floating circuit element
  • Lion optimizer with capacitor-based local gradient memory storage
  • Resistor training using approximate gradient transmission components

FAQ

What problem does this research solve?

The research addresses the limitation of traditional equilibrium propagation systems in handling associative tasks, demonstrating a hardware-compatible transformer architecture that can perform in-context learning.

How does the circuit enable attention mechanisms?

The circuit uses sub-threshold MOSFET devices leveraging their exponential current law to implement an attention mechanism, with bidirectional information flow restored through a double/dyadic circuit design.

Why is cross-entropy loss important for training?

Cross-entropy loss was necessary for successful training of the physical system, in contrast to mean squared error, and was implemented using a novel floating circuit element based on MOSFET sub-circuits.

This summary and analysis were generated with AI from the original article and may contain errors. Read the original for the full story.

Read the full story

Originally published by arXiv cs.LG on Oct 12, 2026.

Read on arXiv cs.LG(opens in a new tab)

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