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New research links optimizers to mode connectivity in neural networks

Researchers have explored the role of optimizers in mode connectivity within neural networks, a concept previously underexplored. Their work demonstrates that solutions generated by a single optimizer, such as AdamW or Muon, form a connected set in two-layer ReLU networks at sufficient width. The study further characterizes how regions from different optimizers interact, showing they can be disjoint or overlapping depending on regularization and network width. Empirical tests on GPT-2 pretraining revealed that paths using the same optimizer maintain spectral properties, while cross-optimizer paths exhibit smoother transitions, highlighting optimizer-dependent structures. AI

Summary written by gemini-2.5-flash-lite from 1 source. How we write summaries →

IMPACT Reveals optimizer-dependent structure in model training, potentially influencing future optimization techniques for large models.

RANK_REASON Academic paper detailing novel findings on optimizer-induced mode connectivity in neural networks. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

COVERAGE [1]

  1. arXiv cs.AI TIER_1 · Mert Pilanci ·

    Optimizer-Induced Mode Connectivity: From AdamW to Muon

    Mode connectivity has been widely studied, yet the role of the optimizer remains underexplored. We revisit it through optimizer-induced implicit regularization, asking how connectivity behaves when restricted to solutions constrained by a given optimizer. For two-layer ReLU netwo…