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Adam is the de facto optimization algorithm for several deep learning applications, but an understanding of its implicit bias and how it differs from other algorithms, particularly standard first-order methods such as (stochastic) gradient…

Machine Learning · Computer Science 2025-10-27 Bhavya Vasudeva , Jung Whan Lee , Vatsal Sharan , Mahdi Soltanolkotabi

As a well-known optimization framework, the Alternating Direction Method of Multipliers (ADMM) has achieved tremendous success in many classification and regression applications. Recently, it has attracted the attention of deep learning…

Machine Learning · Computer Science 2021-12-23 Junxiang Wang , Hongyi Li , Liang Zhao

We propose a batch size invariant version of Adam, for use in large-scale, distributed settings, in which the mini-batch is divided into micro-batches which are distributed among worker nodes. For the v term, standard Adam first computes…

Machine Learning · Computer Science 2024-03-01 Xi Wang , Laurence Aitchison

Reinforcement learning (RL), particularly RL from verifiable reward (RLVR), has become a crucial phase of training large language models (LLMs) and a key focus of current scaling efforts. However, optimization practices in RL largely follow…

Machine Learning · Computer Science 2026-02-25 Sagnik Mukherjee , Lifan Yuan , Pavan Jayasinha , Dilek Hakkani-Tür , Hao Peng

Adam has been widely adopted for training deep neural networks due to less hyperparameter tuning and remarkable performance. To improve generalization, Adam is typically used in tandem with a squared $\ell_2$ regularizer (referred to as…

Machine Learning · Computer Science 2022-02-02 Zhenxun Zhuang , Mingrui Liu , Ashok Cutkosky , Francesco Orabona

Researchers have started using LLM agents in place of human subjects in behavioural and political-science experiments, often as a cheaper substitute for laboratory pools. The substitution does not hold up in strategic settings: humans and…

General Economics · Economics 2026-05-27 Po Han Teo

Large language models (LLMs) often exhibit abrupt emergent behavior, whereby new abilities arise at certain points during their training. This phenomenon, commonly referred to as a ''phase transition'', remains poorly understood. In this…

Computation and Language · Computer Science 2025-04-01 Yuko Nakagi , Keigo Tada , Sota Yoshino , Shinji Nishimoto , Yu Takagi

Adam has achieved strong empirical success, but its theory remains incomplete even in the deterministic full-batch setting, largely because adaptive preconditioning and momentum are tightly coupled. In this work, a convergent reformulation…

Optimization and Control · Mathematics 2026-04-13 Yaxin Yu , Long Chen , Zeyi Xu

When training neural models, it is common to combine multiple loss terms. The balancing of these terms requires considerable human effort and is computationally demanding. Moreover, the optimal trade-off between the loss term can change as…

Machine Learning · Computer Science 2020-06-29 Itzik Malkiel , Lior Wolf

Productive human-AI collaboration requires appropriate reliance, yet contemporary AI systems are often miscalibrated, exhibiting systematic overconfidence or underconfidence. We investigate whether humans can learn to mentally recalibrate…

Human-Computer Interaction · Computer Science 2026-03-25 ZhaoBin Li , Mark Steyvers

Diffusion-based large language models (dLLMs) are gaining attention for their inherent capacity for parallel decoding, offering a compelling alternative to autoregressive LLMs. Among various decoding strategies, block-wise…

Machine Learning · Computer Science 2026-03-03 Guanxi Lu , Hao Mark Chen , Yuto Karashima , Zhican Wang , Daichi Fujiki , Hongxiang Fan

Adaptive algorithms like AdaGrad and AMSGrad are successful in nonconvex optimization owing to their parameter-agnostic ability -- requiring no a priori knowledge about problem-specific parameters nor tuning of learning rates. However, when…

Optimization and Control · Mathematics 2022-10-17 Junchi Yang , Xiang Li , Niao He

Gradient-based first-order adaptive optimization methods such as the Adam optimizer are prevalent in training artificial networks, achieving the state-of-the-art results. This work attempts to answer the question whether it is viable for…

Neural and Evolutionary Computing · Computer Science 2022-12-20 Yukun Yang , Peng Li

The advent of the Transformer architecture has propelled the growth of natural language processing (NLP) models, leading to remarkable achievements in numerous NLP tasks. Yet, the absence of specialized hardware like expansive GPU memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-18 Xiaofeng Wu , Jia Rao , Wei Chen

The paper derives analytical expressions for the asymptotic average updating direction of the adaptive moment generation (ADAM) algorithm when applied to recursive identification of nonlinear systems. It is proved that the standard…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Torbjörn Wigren , Ruoqi Zhang , Per Mattsson

We investigate the role of the optimizer in determining the quality of the model fit for neural networks with a small to medium number of parameters. We study the performance of Adam, an algorithm for first-order gradient-based optimization…

Machine Learning · Computer Science 2022-05-17 John Taylor , Wenyi Wang , Biswajit Bala , Tomasz Bednarz

We show that deep reinforcement learning algorithms can retain their ability to learn without resetting network parameters in settings where the number of gradient updates greatly exceeds the number of environment samples by combatting…

Machine Learning · Computer Science 2024-08-06 Marcel Hussing , Claas Voelcker , Igor Gilitschenski , Amir-massoud Farahmand , Eric Eaton

Large language models (LLMs), initially developed for generative AI, are now evolving into agentic AI systems, which make decisions in complex, real-world contexts. Unfortunately, while their generative capabilities are well-documented,…

Artificial Intelligence · Computer Science 2026-04-02 Matthew DosSantos DiSorbo , Harang Ju , Sinan Aral

The paper presents the formulation, implementation, and evaluation of the ArcGD optimiser. The evaluation is conducted initially on a non-convex benchmark function and subsequently on a real-world ML dataset. The initial comparative study…

Machine Learning · Computer Science 2026-03-25 Nikhil Verma , Joonas Linnosmaa , Leonardo Espinosa-Leal , Napat Vajragupta

Artificial Neural Networks (ANN) comprise important symmetry properties, which can influence the performance of Monte Carlo methods in Neuroevolution. The problem of the symmetries is also known as the competing conventions problem or…

Neural and Evolutionary Computing · Computer Science 2011-07-25 Onay Urfalioglu , Orhan Arikan