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Despite its widespread adoption, Adam's advantage over Stochastic Gradient Descent (SGD) lacks a comprehensive theoretical explanation. This paper investigates Adam's sensitivity to rotations of the parameter space. We observe that Adam's…

Adam has become one of the most favored optimizers in deep learning problems. Despite its success in practice, numerous mysteries persist regarding its theoretical understanding. In this paper, we study the implicit bias of Adam in linear…

Machine Learning · Statistics 2024-06-18 Chenyang Zhang , Difan Zou , Yuan Cao

Emergent Misalignment refers to a failure mode in which fine-tuning large language models (LLMs) on narrowly scoped data induces broadly misaligned behavior. Prior explanations mainly attribute this phenomenon to the generalization of…

Computation and Language · Computer Science 2026-02-02 Yanghao Su , Wenbo Zhou , Tianwei Zhang , Qiu Han , Weiming Zhang , Nenghai Yu , Jie Zhang

The rapid development of large language models (LLMs) has not only provided numerous opportunities but also presented significant challenges. This becomes particularly evident when LLMs inadvertently generate harmful or toxic content,…

Computation and Language · Computer Science 2024-02-20 Kai Chen , Chunwei Wang , Kuo Yang , Jianhua Han , Lanqing Hong , Fei Mi , Hang Xu , Zhengying Liu , Wenyong Huang , Zhenguo Li , Dit-Yan Yeung , Lifeng Shang , Xin Jiang , Qun Liu

Adam is a popular and widely used adaptive gradient method in deep learning, which has also received tremendous focus in theoretical research. However, most existing theoretical work primarily analyzes its full-batch version, which differs…

Machine Learning · Computer Science 2025-10-14 Xuan Tang , Han Zhang , Yuan Cao , Difan Zou

Deep neural networks are traditionally trained using human-designed stochastic optimization algorithms, such as SGD and Adam. Recently, the approach of learning to optimize network parameters has emerged as a promising research topic.…

Machine Learning · Computer Science 2018-11-26 Shipeng Wang , Jian Sun , Zongben Xu

Recent psycholinguistic studies have drawn conflicting conclusions about the relationship between the quality of a language model and the ability of its surprisal estimates to predict human reading times, which has been speculated to be due…

Computation and Language · Computer Science 2023-10-24 Byung-Doh Oh , William Schuler

Adam is a widely used optimization method for training deep learning models. It computes individual adaptive learning rates for different parameters. In this paper, we propose a generalization of Adam, called Adambs, that allows us to also…

Machine Learning · Computer Science 2020-10-27 Rui Liu , Tianyi Wu , Barzan Mozafari

One of the distinguishing characteristics of modern deep learning systems is that they typically employ neural network architectures that utilize enormous numbers of parameters, often in the millions and sometimes even in the billions.…

Machine Learning · Statistics 2021-11-15 Ben Adlam , Jake Levinson , Jeffrey Pennington

While textual frequency has been validated as relevant to human cognition in reading speed, its relatedness to Large Language Models (LLMs) is seldom studied. We propose a novel research direction in terms of textual data frequency, which…

Computation and Language · Computer Science 2026-04-08 Hongyuan Adam Lu , Z. L. , Victor Wei , Zefan Zhang , Zhao Hong , Qiqi Xiang , Bowen Cao , Wai Lam

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

Training large language models requires optimization algorithms that are not only statistically effective, but also computationally and memory efficient at extreme scale. Although Adam remains the dominant optimizer for large-scale…

Machine Learning · Computer Science 2026-05-12 Aditya Ranganath

We present a tendency of large language models (LLMs) to generate absurd patterns despite their clear inappropriateness in a simple task of identifying regularities in number series. Several approaches have been proposed to apply LLMs to…

Computation and Language · Computer Science 2025-10-14 Shin-nosuke Ishikawa , Masato Todo , Taiki Ogihara , Hirotsugu Ohba

Machine learning models, including state-of-the-art deep neural networks, are vulnerable to small perturbations that cause unexpected classification errors. This unexpected lack of robustness raises fundamental questions about their…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Andras Rozsa , Manuel Gunther , Terrance E. Boult

A crucial component of machine learning algorithms is minimizing loss functions with less computational cost and less oscillations. While adaptive learning rate-based optimizers have been widely used for real-world tasks, they do not…

Machine Learning · Computer Science 2026-05-29 Sakshi Kumari , Shyam Kumar M , Sushmitha P

Recent studies have shown that as Transformer-based language models become larger and are trained on very large amounts of data, the fit of their surprisal estimates to naturalistic human reading times degrades. The current work presents a…

Computation and Language · Computer Science 2024-02-06 Byung-Doh Oh , Shisen Yue , William Schuler

In current deep learning tasks, Adam style optimizers such as Adam, Adagrad, RMSProp, Adafactor, and Lion have been widely used as alternatives to SGD style optimizers. These optimizers typically update model parameters using the sign of…

Machine Learning · Computer Science 2024-10-29 Shuaipeng Li , Penghao Zhao , Hailin Zhang , Xingwu Sun , Hao Wu , Dian Jiao , Weiyan Wang , Chengjun Liu , Zheng Fang , Jinbao Xue , Yangyu Tao , Bin Cui , Di Wang

Despite large language models' (LLMs) recent advancements, their bias and hallucination issues persist, and their ability to offer consistent preferential rankings remains underexplored. This study investigates the capacity of LLMs to…

Computation and Language · Computer Science 2024-10-14 Xiutian Zhao , Ke Wang , Wei Peng

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

Machine Learning · Computer Science 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

In the last decade, the generalization and adaptation abilities of deep learning models were typically evaluated on fixed training and test distributions. Contrary to traditional deep learning, large language models (LLMs) are (i) even more…

Computation and Language · Computer Science 2024-10-17 Fırat Öncel , Matthias Bethge , Beyza Ermis , Mirco Ravanelli , Cem Subakan , Çağatay Yıldız