Reproduce “FractalMamba++: Scaling Vision Mamba Across Resolutions via Hilbert Fractal Geometry” on OpenResearch

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About this paper

Bo Li, Haoke Xiao, Lv Tang

Researchers from vivo Mobile Communication Co., Ltd., Kuaishou Technology, and the University of Alberta developed FractalMamba++, a Vision Mamba backbone that uses Hilbert fractal geometry to achieve robust resolution scalability. The model consistently outperforms existing Vision Mamba variants on high-resolution image classification, object detection, semantic segmentation, and change detection tasks by enhancing spatial continuity, long-range information propagation, and positional encoding.

Key insights

  • A unified geometric principle, such as the self-similar structure of the Hilbert curve, can deterministically guide the design of multiple backbone components for consistent and resolution-invariant performance.
  • Preserving 2D spatial locality during 2D-to-1D sequence conversion is more effective for high-resolution generalization in Vision Mamba models than relying solely on multi-scale training.
  • Deterministic, geometry-derived skip connections can efficiently counteract information fading in recurrent SSMs, allowing for better global context modeling without increasing asymptotic sequence complexity.

Summary by alphaXiv.

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