Beyond Uniform Subspaces: Spectrum-Aware and Depth-Adaptive Fusion for Multi-Task Model Merging

arXiv:2609.24612 · cs.CV · Submitted 2026-09-21 · Read on arXiv

cs.CV

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Model Merging — 34× in this paper · explained in 2 episodes
• Adaptation — 30× in this paper · explained in 1 episode
• Benchmark — 20× in this paper · explained in 2 episodes
• Generalization — 14× in this paper · explained in 13 episodes
• Accuracy — 13× in this paper · explained in 1 episode
• Ablation — 9× in this paper · explained in 1 episode
• Ablation study — 5× in this paper · explained in 1 episode
• Fine-Tuning — 5× in this paper · explained in 5 episodes
• Alignment — 3× in this paper · explained in 1 episode
• Robustness — 3× in this paper · explained in 5 episodes
• Ablation Studies — 2× in this paper · explained in 1 episode
• Adam — 2× in this paper · explained in 2 episodes
• Computational overhead — 2× in this paper · explained in 2 episodes
• Content-aware Plasticity Score — 2× in this paper
• Downstream Tasks — 2× in this paper · explained in 2 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Transformer — 2× in this paper · explained in 2 episodes
• Adaptability — 1× in this paper · explained in 1 episode
• Aggregation — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 3 episodes
• Comparison of Essential Component Ratio — 1× in this paper
• Consistency — 1× in this paper · explained in 3 episodes
• Continual Learning — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Domain Shift — 1× in this paper · explained in 4 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Low-Rank Adaptation (LoRA) — 1× in this paper · explained in 9 episodes
• Mixture of Experts — 1× in this paper · explained in 2 episodes
• Representation Learning — 1× in this paper · explained in 2 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes
• Spectral Geometry — 1× in this paper · explained in 2 episodes

Sources

• Label-Free Cross-Task LoRA Merging with Null-Space Compression
• Essential Subspace Merging for Multi-Task Learning
• Model Merging in the Essential Subspace
• Deep Model Fusion: A Survey
• Purifying Task Vectors in Knowledge-Aware Subspace for Model Merging
• Layer Normalization
• Task Alignment: A Simple Proxy for Practical Model Merging Across Diverse Vision Tasks
• Model Merging with Functional Dual Anchors
• Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms
• ACE-Merging: Data-Free Model Merging with Adaptive Covariance Estimation

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