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PreprintCC BY 4.0arXiv

Optical Reservoir Computing with Structural Nonlinearity for Forecasting Chaotic Time Series

Abstract

Optical computing offers a promising route to high-speed, energy-efficient information processing. However, implementing nonlinear operations typically requires strong light-matter interactions. Here, we introduce structural nonlinearity into an optical reservoir computing architecture, using only linear components. A digital micromirror device acts as a reconfigurable scattering potential, while the propagation of light through a scattering medium provides the high-dimensional mode mixing. By enforcing a second interaction with the wavefront shaper, we obtain a quadratic mapping of the input within the reservoir. A single experimental apparatus simultaneously implements conventional and structurally nonlinear reservoir architectures, enabling a direct comparison on forecasting of the chaotic Mackey-Glass time series. We demonstrate that the structurally nonlinear reservoir improves short-term prediction accuracy and better preserves the long-term dynamics of the chaotic system, demonstrating the potential of structural nonlinearity for low-power optical computing.

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BibTeX
@misc{venancio2026optical,
  title = {{Optical Reservoir Computing with Structural Nonlinearity for Forecasting Chaotic Time Series}},
  author = {Leandro R. Venâncio and Jonathan Dong and Mickael Mounaix and Jacopo Bertolotti},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02733},
  eprint = {2609.02733},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02733},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Optical Reservoir Computing with Structural Nonlinearity for Forecasting Chaotic Time Series
AU  - Leandro R. Venâncio
AU  - Jonathan Dong
AU  - Mickael Mounaix
AU  - Jacopo Bertolotti
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02733
UR  - https://arxiv.org/abs/2609.02733
AB  - Optical computing offers a promising route to high-speed, energy-efficient information processing. However, implementing nonlinear operations typically requires strong light-matter interactions. Here, we introduce structural nonlinearity into an optical reservoir computing architecture, using only linear components. A digital micromirror device acts as a reconfigurable scattering potential, while the propagation of light through a scattering medium provides the high-dimensional mode mixing. By enforcing a second interaction with the wavefront shaper, we obtain a quadratic mapping of the input within the reservoir. A single experimental apparatus simultaneously implements conventional and structurally nonlinear reservoir architectures, enabling a direct comparison on forecasting of the chaotic Mackey-Glass time series. We demonstrate that the structurally nonlinear reservoir improves short-term prediction accuracy and better preserves the long-term dynamics of the chaotic system, demonstrating the potential of structural nonlinearity for low-power optical computing.
ER  -