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Dynamic Model Merging Made Slim
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Proposes DiDi-Merging, a data-free dynamic model-merging method that uses differentiable rank optimization to split parameters between a shared low-rank module and per-task low-rank experts, matching prior dynamic methods at about 1.24x single-model parameters.
Problem
Dynamic model merging stores either a full-size shared model with tiny experts or heavy per-task experts, leading to poor accuracy-efficiency trade-offs; the paper seeks a slim balance between shared and expert parameters without original training data.
Approach
Represent both shared and expert task vectors as low-rank modules whose ranks are learned end-to-end via a smooth tanh-based singular-value truncation with a compression penalty, then recover fidelity with a data-free LoRA refinement against the stored task vectors.
Key results
- On 8 ViT-B/32 vision tasks, DiDi-Merging-S reaches 89.3% average at 1.24x parameters, matching TSV-C (89.5% at 2.08x); DiDi-Merging-M reaches 89.8% at 1.4x, the best overall.
- On Llama-3.1-8B-Instruct LLM merging at 2x parameters, DiDi-Merging-L averages 55.0 vs 52.8 for Twin-Merging and 53.2 for FREE-Merging (+5.4% over prior dynamic methods per the text).
- On multimodal merging at 1.4x-2.0x, DiDi-Merging achieves 99.3% retention on VQA-style video tasks and 101.1% on 7 image tasks, outperforming NaiveMC, MMER and FREE-Merging.
Surprising findings
- Some dynamic merged models (including DiDi-Merging) exceed the fine-tuned individual on several audio and point-cloud tasks, attributed to transferred instruction-following patterns from sister MLLMs.
- Static merging followed by uniform-rank LoRA recovery (e.g., WUDI + uniform LoRA at 84.6%) falls notably short of DiDi-Merging-S (89.3%) at the same budget.
Limitations
- Routing uses an oracle MoE-style router that takes task identity at inference; learned input-based routing is left for future work.
- Find-Optimal-Rank stage runs sequentially per task and is the dominant wall-clock bottleneck.
- Reported LLM gains are for a 2x budget; the 1.24x/1.4x budgets only match baselines on harder settings.
Experimental setup
Datasets: SUN397 Cars RESISC45 EuroSAT SVHN GTSRB MNIST DTD MMLU-Pro MMLU-redux GPQA-Diamond GSM8K
Benchmarks: SUN397 Cars RESISC45 EuroSAT SVHN GTSRB MNIST DTD MMLU-Pro MMLU-redux GPQA-Diamond GSM8K
Metrics: accuracy normalized average retention (%) parameter overhead (x single model) BLEU ROUGE-L METEOR CIDEr
Baselines: Weight Averaging TSV-Merging CAT-Merging ISO-CTS WUDI-Merging WEMoE SMILE TALL-Mask+TIES Twin-Merging EMR-Merging FREE-Merging TSV-C
Builds on: TSV-Merging AdaLoRA DyLoRA Dobi-SVD Twin-Merging
Closest papers by meaning
- Twin-Merging: Dynamic Integration of Modular Expertise in Model Merging (NeurIPS 2024 · similarity 0.91)
- Whoever Started the interference Should End It: Guiding Data-Free Model Merging via Task Vectors (ICML 2025 · similarity 0.90)
- CAT Merging: A Training-Free Approach for Resolving Conflicts in Model Merging (ICML 2025 · similarity 0.90)
- Merging on the Fly Without Retraining: A Sequential Approach to Scalable Continual Model Merging (NeurIPS 2025 · similarity 0.90)
- Modeling Multi-Task Model Merging as Adaptive Projective Gradient Descent (ICML 2025 · similarity 0.89)
- No Task Left Behind: Isotropic Model Merging with Common and Task-Specific Subspaces (ICML 2025 · similarity 0.89)
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