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Analysis

This paper addresses the challenges of representation collapse and gradient instability in Mixture of Experts (MoE) models, which are crucial for scaling model capacity. The proposed Dynamic Subspace Composition (DSC) framework offers a more efficient and stable approach to adapting model weights compared to standard methods like Mixture-of-LoRAs. The use of a shared basis bank and sparse expansion reduces parameter complexity and memory traffic, making it potentially more scalable. The paper's focus on theoretical guarantees (worst-case bounds) through regularization and spectral constraints is also a strong point.
Reference

DSC models the weight update as a residual trajectory within a Star-Shaped Domain, employing a Magnitude-Gated Simplex Interpolation to ensure continuity at the identity.