一篇新论文重新探讨了 Adam 优化算法的收敛性质，证明了具有任意动量衰减参数的投影 Adam 可以表现出有界非零的平均遗憾。这一发现扩展到各种 Adam 变体，包括 AdamW、RMSProp、NAdam、Adan、AdaMax 和 Muon。该研究利用了与先前工作类似的三周期线性函数序列，但对斜率参数进行了微调。 AI
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新研究论文重新审视 Adam 优化器收敛性质
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关于 Adam 收敛的再探讨
arXiv:2607.03519v1 Announce Type: cross Abstract: We show that projected Adam for online optimization with arbitrary moment decay parameters $\beta_1,\beta_2\in[0,1)$ can have average regret bounded away from zero. A similar result of Reddi-Kale-Kumar from 2018 required $\beta_1<…
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关于 Adam 收敛的再探讨
We show that projected Adam for online optimization with arbitrary moment decay parameters $β_1,β_2\in[0,1)$ can have average regret bounded away from zero. A similar result of Reddi-Kale-Kumar from 2018 required $β_1<\sqrt{β_2}$. Similar to their result, we use a three-periodic …