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AnalogVNN: A fully modular framework for modeling and optimizing photonic neural networks

Published 14 Oct 2022 in cs.LG, cs.ET, and physics.optics | (2210.10048v2)

Abstract: AnalogVNN, a simulation framework built on PyTorch which can simulate the effects of optoelectronic noise, limited precision, and signal normalization present in photonic neural network accelerators. We use this framework to train and optimize linear and convolutional neural networks with up to 9 layers and ~1.7 million parameters, while gaining insights into how normalization, activation function, reduced precision, and noise influence accuracy in analog photonic neural networks. By following the same layer structure design present in PyTorch, the AnalogVNN framework allows users to convert most digital neural network models to their analog counterparts with just a few lines of code, taking full advantage of the open-source optimization, deep learning, and GPU acceleration libraries available through PyTorch. Code is available at https://analogvnn.github.io

Citations (2)

Summary

  • The paper presents AnalogVNN, a PyTorch framework for modeling and optimizing photonic neural networks by simulating analog imperfections like noise and limited precision.
  • AnalogVNN simulates analog effects using standard digital models with minimal overhead, allowing extensive hyperparameter exploration with PyTorch's capabilities.
  • Experiments show that precision and noise in network weights significantly impact accuracy more than input precision, providing crucial design insights for analog hardware.

The paper presents a novel framework called Analog Virtual Neural Network (Analog VNN) for the modeling and optimization of photonic neural networks (PNNs) using PyTorch. This framework addresses the challenges associated with translating digital deep neural network (DNN) models to the analog domain, particularly photonics, where issues such as optoelectronic noise, limited precision, and signal normalization can degrade the performance and generalizability of neural networks.

Overview of Analog VNN Framework:

  1. Motivation and Context:
    • The recent exponential growth in DNNs necessitates significant computing resources, growing faster than the improvements in hardware performance and efficiency. Analog computing, particularly photonic analog computing, offers high efficiency and low latency by parallelizing linear operations.
    • Photonic computing capitalizes on superior modulation speeds of optical systems, potentially providing ultra-low latency and real-time processing capabilities.
  2. Simulation Approach:
    • Analog VNN focuses on the effects of analog computing elements, such as noise and reduced precision, rather than the detailed physical modeling of analog devices. This abstraction aids in efficiently simulating the transition from digital to analog network models with minimal overhead.
    • The framework allows users to integrate noise, reduced precision, and signal normalization layers into digital models, thereby simulating the conditions of analog environments.
  3. Compatibility and Modularity:
    • Built on PyTorch, Analog VNN benefits from comprehensive optimization libraries, GPU acceleration, and ease of use. It allows researchers to convert digital models to analog forms with minimal code alterations.
  4. Application and Optimization:
    • Through Analog VNN, extensive hyperparameter exploration was conducted on small-scale photonic image classifiers (1 to 6 layers), followed by optimizations on larger, more complex models like a 9-layer CIFAR-10 CNN.
    • Factors such as normalization, activation functions, and bit precision were examined. Notably, reduced precision in weights exhibited a stronger influence on model accuracy compared to the precision of inputs.

Key Findings and Results:

  • Small-Scale Networks: Hyperparameter combinations, including normalization (e.g., Clamp) and bit precision variations, were exhaustively tested, underscoring the importance of activation functions for performance in deeper models.
  • Large-Scale Networks: For the 9-layer CIFAR-10 model, optimized configurations achieved significant accuracy improvements. Crucially, it was found that precision and noise of weights impacted accuracy more than those of inputs.
  • Accuracy vs. Precision & Noise: Models demonstrated increased robustness with stochastic rounding techniques and showed that higher precision in weights contributed significantly to model performance compared to increased input precision.

Conclusions:

Analog VNN proves to be an effective simulation framework for photonic and other analog neural networks by providing insights into design trade-offs regarding precision and noise handling. The research underscores the critical role of high precision and low-noise weights in ensuring the effective deployment of analog neural networks for complex tasks, promising substantial time and cost savings for hardware design and validation. Additionally, the approach is general enough to extend to other hardware domains such as electronic and spintronic systems.

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