mlsanityData to 7 Oct 2026

Enhancing deep neural networks through complex-valued representations and Kuramoto synchronization dynamics

arXiv 2502.21077 ↗First posted 28 Feb 2025cs.CV cs.AI nlin.AOcited by 3

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Abstract (arXiv)

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 their real-valued counterparts 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.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 18 of its 70 references that are in the map. First posted on arXiv 28 Feb 2025.

Builds on

18 of 70 references.

References · 18

  1. 2017Dynamic Routing Between Capsulescited by 689
  2. 2020On the Binding Problem in Artificial Neural Networkscited by 230
  3. 2017Deep Complex Networkscited by 215
  4. 2021A Survey of Complex-Valued Neural Networkscited by 61
  5. 2021Visual Representation Learning Does Not Generalize Strongly Within the Same Domaincited by 60
  6. 2022Complex-Valued Autoencoders for Object Discoverycited by 40
  7. 2024Artificial Kuramoto Oscillatory Neuronscited by 37
  8. 2013Neuronal Synchrony in Complex-Valued Deep Networkscited by 28
  9. 2023Contrastive Training of Complex-Valued Autoencoders for Object Discoverycited by 16
  10. 2023Image segmentation with traveling waves in an exactly solvable recurrent neural networkcited by 8
  11. 2024Recurrent Complex-Weighted Autoencoders for Unsupervised Object Discoverycited by 8
  12. 2021KuraNet: Systems of Coupled Oscillators that Learn to Synchronizecited by 6
6 more
  1. 2024Binding Dynamics in Rotating Featurescited by 5
  2. 2024Tracking objects that change in appearance with phase synchronycited by 3
  3. 2019Critical synchronization dynamics of the Kuramoto model on connectome and small world graphscited by 2
  4. 2022Learning Structured Representations of Visual Scenescited by 2
  5. 2024Learning Semantic Structure through First-Order-Logic Translationcited by 2
  6. 2023On the Generalization of Learned Structured Representationscited by 1

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 1; 2026: 2.

3 papers.