Arcee: Differentiable Recurrent State Chain for Generative Vision Modeling with Mamba SSMs
- URL: http://arxiv.org/abs/2511.11243v2
- Date: Mon, 17 Nov 2025 18:00:42 GMT
- Title: Arcee: Differentiable Recurrent State Chain for Generative Vision Modeling with Mamba SSMs
- Abstract summary: State-space models (SSMs) are increasingly adopted for long-context sequence modeling.<n>Recent "Mamba-for-vision" variants largely explore multiple scan orders to relax strict causality for non-sequential signals.<n>Arcee is a cross-block recurrent state chain that reuses each block's terminal state-space representation.
- Score: 3.5590835022089813
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: State-space models (SSMs), Mamba in particular, are increasingly adopted for long-context sequence modeling, providing linear-time aggregation via an input-dependent, causal selective-scan operation. Along this line, recent "Mamba-for-vision" variants largely explore multiple scan orders to relax strict causality for non-sequential signals (e.g., images). Rather than preserving cross-block memory, the conventional formulation of the selective-scan operation in Mamba reinitializes each block's state-space dynamics from zero, discarding the terminal state-space representation (SSR) from the previous block. Arcee, a cross-block recurrent state chain, reuses each block's terminal state-space representation as the initial condition for the next block. Handoff across blocks is constructed as a differentiable boundary map whose Jacobian enables end-to-end gradient flow across terminal boundaries. Key to practicality, Arcee is compatible with all prior "vision-mamba" variants, parameter-free, and incurs constant, negligible cost. As a modeling perspective, we view terminal SSR as a mild directional prior induced by a causal pass over the input, rather than an estimator of the non-sequential signal itself. To quantify the impact, for unconditional generation on CelebA-HQ (256$\times$256) with Flow Matching, Arcee reduces FID$\downarrow$ from $82.81$ to $15.33$ ($5.4\times$ lower) on a single scan-order Zigzag Mamba baseline. Efficient CUDA kernels and training code will be released to support rigorous and reproducible research.
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