Rethink Model Re-Basin and the Linear Mode Connectivity

Recent studies suggest that with sufficiently wide models, most SGD solutions can, up to permutation, converge into the same basin. This phenomenon, known as the model re-basin regime, has significant implications for model averaging. However, current re-basin strategies are limited in effectiveness due to a lack of comprehensive understanding of underlying mechanisms. Addressing this gap, our work revisits standard practices and uncovers the frequent inadequacies of existing matching algorithms, which we show can be mitigated through proper re-normalization. By introducing a more direct analytical approach, we expose the interaction between matching algorithms and re-normalization processes. This perspective not only clarifies and refines previous findings but also facilitates novel insights. For instance, it connects the linear mode connectivity to pruning, motivating a lightweight yet effective post-pruning plug-in that can be directly merged with any existing pruning techniques. Our implementation is available at https://github.com/XingyuQu/rethink-re-basin.