AdamX: Cosine similarity meets gradient descent

📅 2026-09-10
📈 Citations: 0
Influential: 0
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🤖 AI Summary
本文提出AdamX优化器,通过引入余弦相似度控制更新幅度,并采用方差校正方案,以实现更平滑的优化过程和竞争性的收敛速度。
📝 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.
Problem

Research questions and friction points this paper is trying to address.

cosine similarity
optimizer
gradient descent
update magnitudes
Innovation

Methods, ideas, or system contributions that make the work stand out.

cosine similarity
adaptive mechanism
variance rectification
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F
Francisco Caldas
NOVA School of Science of Technology, Universidade Nova de Lisboa, Caparica, Portugal
R
Ruben Belo
NOVA School of Science of Technology, Universidade Nova de Lisboa, Caparica, Portugal
C
Cláudia Soares
NOVA School of Science of Technology, Universidade Nova de Lisboa, Caparica, Portugal