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Adam Optimizer Convergence Properties Revisited in New Research Paper

By PulseAugur Editorial · [2 sources] ·

A new paper revisits the convergence properties of the Adam optimization algorithm, demonstrating that projected Adam with arbitrary moment decay parameters can exhibit average regret bounded away from zero. This finding extends to various Adam variants, including AdamW, RMSProp, NAdam, Adan, AdaMax, and Muon. The research utilizes a three-periodic sequence of linear functions, similar to prior work but with a slightly adjusted parameter for the slope. AI

RANK_REASON The cluster contains an academic paper detailing theoretical research on optimization algorithms.

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AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

Adam Optimizer Convergence Properties Revisited in New Research Paper

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Steven Heilman, Sampad Mohanty ·

    On the Convergence of Adam, Revisited

    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<…

  2. arXiv stat.ML TIER_1 English(EN) · Sampad Mohanty ·

    On the Convergence of Adam, Revisited

    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 …

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