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PISA: Piecewise Sparse Attention Is Wiser for Efficient Diffusion Transformers
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Proposes PISA, a training-free piecewise sparse attention for diffusion transformers that computes critical KV blocks exactly and approximates the remaining blocks via block-wise Taylor expansion fused into online softmax.
Problem
Block sparse attention in video and image diffusion transformers discards non-critical key-value blocks, causing quality degradation at high sparsity, while linear/hybrid alternatives break pre-trained attention distributions and need retraining.
Approach
Replace the keep-or-drop rule with exact-or-approximate: exact computation for selected blocks and a hybrid-order (block-wise zeroth-order plus global first-order) Taylor approximation for unselected blocks, integrated into the softmax numerator and denominator so pre-trained weights are reused without training.
Key results
- On Wan2.1-14B at 87.5% sparsity, PISA reaches 1.91x speedup with PSNR 22.69 and LPIPS 0.124 versus SpargeAttn 1.85x and PSNR 21.47.
- On Hunyuan-13B 720P, PISA achieves 2.57x speedup, versus 2.51x for SpargeAttn and 2.54x for SVG2.
- On FLUX.1-dev at 85% sparsity, PISA gets PSNR 17.07 and LPIPS 0.241 versus SpargeAttn at 80% sparsity with PSNR 12.88 and LPIPS 0.296, with latency 6.87 s vs 7.47 s.
Surprising findings
- The zeroth-order-only variant achieves a higher speedup than the hybrid variant on FLUX.1-dev (1.21x vs 1.24x for hybrid, close), and the first-order-only variant is slower (0.96x), indicating the first-order term's memory cost matters.
Limitations
- Speedup on FLUX is modest (about 1.2x) because image generation has lower inherent sparsity.
- The Taylor truncation error is argued to be negligible but not bounded rigorously; the error theorem bounds only the global-mean replacement.
- Covariance-aware block selection is only used for image generation; the video results use the default routing.
Experimental setup
Benchmarks: VBench FID ImageReward HPSv2 MPS
Metrics: VBench S.C./I.Q./A.Q. SSIM PSNR LPIPS FID ImageReward HPSv2 MPS latency speedup
Baselines: SpargeAttn SVG2 FlashAttention-2 FlashAttention-3
Builds on: SpargeAttn FlashAttention SVG2
Closest papers by meaning
- Faster Video Diffusion with Trainable Sparse Attention (NeurIPS 2025 · similarity 0.91)
- Bidirectional Sparse Attention for Faster Video Diffusion Training (NeurIPS 2026 · similarity 0.90)
- Parameterized Stripe Attention for Efficient Video Generation (NeurIPS 2026 · similarity 0.90)
- Sparse Video-Gen: Accelerating Video Diffusion Transformers with Spatial-Temporal Sparsity (ICML 2025 · similarity 0.90)
- MonarchRT: Efficient Attention for Real-Time Video Generation (NeurIPS 2026 · similarity 0.89)
- Re-ttention: Ultra Sparse Visual Generation via Attention Statistical Reshape (NeurIPS 2025 · similarity 0.89)
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