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AdamX: Cosine similarity meets gradient descent

Sep 2026 · 0 citations · 24 references
Computer Science Mathematics

TL;DR

AdamX, a first-order optimizer that incorporates cosine similarity as an adaptive mechanism for controlling update magnitudes is introduced, which is scalable, model-agnostic, and straightforward to integrate into existing training pipelines.

Abstract

We introduce AdamX, a first-order optimizer that incorporates cosine similarity as an adaptive mechanism for controlling update magnitudes. The proposed method is scalable, model-agnostic, and straightforward to integrate into existing training pipelines. We further introduce a variance rectification scheme that promotes smoother optimization during the early stages of training. Overall, we provide empirical evidence that AdamX achieves competitive convergence rates across a range of benchmark datasets and architectures. Performance is evaluated in terms of the number of epochs required to reach predefined performance thresholds under a fixed hyperparameter budget. Code and Experiments available at: https://github.com/FranciscoCaldas/adamX.

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