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This study introduces functional learning (FL) to train non-differentiable physical hardware, enabling light-speed neural network inference with optical systems. This approach bypasses traditional design constraints for novel hardware development.

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Area of Science:

  • Deep learning
  • Physical neural networks
  • Optical computing

Background:

  • Training non-differentiable hardware presents significant challenges in modeling, control, and calibration.
  • Existing digital neural networks face power and bandwidth limitations.

Purpose of the Study:

  • To introduce functional learning (FL), a novel deep-learning paradigm for training physical neural networks.
  • To enable end-to-end training of non-differentiable and modeless physical neurons.
  • To develop a programmable incoherent optical neural network.

Main Methods:

  • Functional learning (FL) paradigm for training loose neuron arrays.
  • Implicit gradient propagation for non-differentiable physical neurons.
  • Numerical and physical verification using a light field neural network (LFNN).

Main Results:

  • Demonstrated a programmable incoherent optical neural network.
  • Achieved light-speed, high-bandwidth, and power-efficient neural network inference.
  • Validated FL's capability for hardware without handcrafted design or precise assembly.

Conclusions:

  • Functional learning provides a new methodology for hardware design, chip manufacturing, and system control.
  • Optical neural networks offer a promising alternative to digital networks for specific applications.
  • FL paves the way for brain-inspired optical computation and advanced optical devices.