Enhancing Deep Neural Networks Through Complex-Valued Representations and Kuramoto Synchronization Dynamics

Abstract

Neural synchrony is hypothesized to play a crucial role in how the brain organizes visual scenes into structured representations, enabling the robust encoding of multiple objects within a scene. However, current deep learning models often struggle with object binding, limiting their ability to represent multiple objects effectively. Inspired by neuroscience, we investigate whether synchrony-based mechanisms can enhance object encoding in artificial models trained for visual categorization. Specifically, we combine complex-valued representations with Kuramoto dynamics to promote phase alignment, facilitating the grouping of features belonging to the same object. We evaluate two architectures employing synchrony: a feedforward model and a recurrent model with feedback connections to refine phase synchronization using top-down information. Both models outperform a real-valued baseline and complex-valued models without Kuramoto synchronization on tasks involving multi-object images, such as overlapping handwritten digits, noisy inputs, and out-of-distribution transformations. Our findings highlight the potential of synchrony-driven mechanisms to enhance deep learning models, improving their performance, robustness, and generalization in complex visual categorization tasks.

Cite

Text

Muzellec et al. "Enhancing Deep Neural Networks Through Complex-Valued Representations and Kuramoto Synchronization Dynamics." Transactions on Machine Learning Research, 2025.

Markdown

[Muzellec et al. "Enhancing Deep Neural Networks Through Complex-Valued Representations and Kuramoto Synchronization Dynamics." Transactions on Machine Learning Research, 2025.](https://mlanthology.org/tmlr/2025/muzellec2025tmlr-enhancing/)

BibTeX

@article{muzellec2025tmlr-enhancing,
  title     = {{Enhancing Deep Neural Networks Through Complex-Valued Representations and Kuramoto Synchronization Dynamics}},
  author    = {Muzellec, Sabine and Alamia, Andrea and Serre, Thomas and VanRullen, Rufin},
  journal   = {Transactions on Machine Learning Research},
  year      = {2025},
  url       = {https://mlanthology.org/tmlr/2025/muzellec2025tmlr-enhancing/}
}