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

📅 2025-02-28
📈 Citations: 0
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🤖 AI Summary
Deep learning models struggle with object binding in multi-object visual scenes, failing to accurately distinguish and integrate features belonging to the same object. To address this, we propose a neuroscience-inspired, synchrony-driven object binding mechanism: for the first time, we embed Kuramoto phase synchronization dynamics into deep neural networks, leveraging complex-valued weights and learnable phase encodings to achieve differentiable, dynamic, object-level feature clustering via feature-phase alignment. Our method supports both feedforward and feedback loop architectures and introduces a phase-driven feature grouping module. Evaluated on multi-object classification tasks—including overlapping handwritten digits, noisy images, and out-of-distribution geometric transformations—our model significantly outperforms real-valued baselines and ablated complex-valued models without synchronization. Results demonstrate that phase synchronization substantially enhances robustness and generalization, validating its functional role in perceptual grouping.

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📝 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 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.
Problem

Research questions and friction points this paper is trying to address.

Enhancing object encoding in deep learning models using synchrony-based mechanisms.
Improving visual categorization through complex-valued representations and Kuramoto dynamics.
Addressing object binding challenges in multi-object image tasks.
Innovation

Methods, ideas, or system contributions that make the work stand out.

Complex-valued representations enhance neural networks.
Kuramoto dynamics promote phase alignment in models.
Synchrony-driven mechanisms improve visual categorization tasks.
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