AISep 30, 2025

HilbertA: Hilbert Attention for Image Generation with Diffusion Models

arXiv:2509.26538v11 citationsh-index: 2
Originality Incremental advance
AI Analysis

This addresses the challenge of efficient high-resolution image generation for AI practitioners, representing an incremental improvement in attention mechanisms.

The paper tackled the problem of designing sparse attention for diffusion transformers that balances 2D spatial locality with GPU efficiency, resulting in HilbertA, which achieved attention speedups of 2.3x at 1024x1024 resolution and up to 4.17x at 2048x2048 while maintaining comparable image quality.

Designing sparse attention for diffusion transformers requires reconciling two-dimensional spatial locality with GPU efficiency, a trade-off that current methods struggle to achieve. Existing approaches enforce two-dimensional spatial locality but often incur uncoalesced memory access. We present HilbertA, a 2D-aware and GPU-efficient sparse attention mechanism. HilbertA reorders image tokens along Hilbert curves to achieve a contiguous memory layout while preserving spatial neighborhoods, and employs a sliding schedule across layers to enable long-range information propagation without repeated or uncoalesced memory access. To further enhance cross-tile communication and positional awareness, HilbertA introduces a small central shared region. Implemented in Triton, HilbertA delivers comparable image quality with significant acceleration over prior methods on Flux.1-dev, demonstrating the feasibility of hardware-aligned two-dimensional sparse attention for high-resolution image generation. HilbertA delivers attention speedups of $2.3\times$ when generating $1024\times 1024$ images, and up to $4.17\times$ at $2048\times 2048$, while achieving image quality comparable to or surpassing baselines.

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