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MambaTree: Tree Topology is All You Need in State Space Model

NeurIPS 2024 · Detection and segmentation › CNN features · approach: Vision state space models · 7 citations (OpenAlex)

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Proposes MambaTree, a state space model that propagates features over an input-dependent minimum spanning tree with a linear-time dynamic programming scan, applied to vision backbones (MambaTreeV) and LoRA-tuned LLMs (MambaTreeL).

Problem

Sequence-based SSMs (Mamba and its visual variants) rely on fixed scan orders that break spatial continuity and struggle with long-range dependencies in both images and text.

Approach

Build an input-aware minimum spanning tree over pixels or tokens (edge weights from feature cosine dissimilarity) and run Mamba-style state propagation along tree paths, with a two-pass dynamic programming algorithm that reduces the all-roots aggregation from O(L^2) to O(L).

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace raster scanning with tree topology scanning (ablation)MambaTreeV-T · ImageNet-1Kaccuracy: 82.6 -> 83.4Helped
Replace cross scanning with tree topology scanning (ablation)MambaTreeV-T · ImageNet-1Kaccuracy: 83.1 -> 83.4Helped
Use cosine rather than Manhattan distance for edge weights (ablation)MambaTreeV-T · ImageNet-1Kaccuracy: 82.9 -> 83.4Helped
Use cosine rather than Euclidean distance for edge weights (ablation)MambaTreeV-T · ImageNet-1Kaccuracy: 83.2 -> 83.4Helped
Traverse all vertices as roots rather than only the first vertex (ablation)MambaTreeV-T · ImageNet-1Kaccuracy: 82.9 -> 83.4Helped
Traverse all vertices as roots rather than only the last vertex (ablation)MambaTreeV-T · ImageNet-1Kaccuracy: 83.0 -> 83.4Helped
Share the same tree topology structure across stages (ablation)MambaTreeV-T · ImageNet-1KTop-1 accuracy: 83.4 -> 83.4No clear effect
Fine-tune with MambaTreeL rather than LoRAMamba 130M · Language benchmarks averageAverage Acc.: +1.1%Helped
Fine-tune with MambaTreeL rather than LoRAMamba 130M · WinoGrandeaccuracy: 52.2 -> 51.1Hurt

Surprising findings

Limitations

Experimental setup

Datasets: ImageNet-1K MSCOCO 2017 ADE20K Alpaca

Benchmarks: ImageNet-1K MSCOCO 2017 ADE20K PIQA AI2-ARC SST WinoGrande LAMBADA RACE OpenBookQA

Metrics: Top-1 accuracy box mAP mask mAP mIoU accuracy throughput

Baselines: ViM VMamba LocalVMamba PlainMamba Swin Transformer ConvNeXt InternImage UniRepLKNet LoRA on Mamba-130M

Builds on: Mamba VMamba LocalMamba Vision Tree Scanning (MST-based feature propagation) LoRA

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