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First-order adaptive optimization methods like Adam are the default choices for training modern deep neural networks. Despite their empirical success, the theoretical understanding of these methods in non-smooth settings, particularly in…

Machine Learning · Statistics 2025-05-22 Anupama Sridhar , Alexander Johansen

Large language models have achieved remarkable success, but their extensive parameter size necessitates substantial memory for training, thereby setting a high threshold. While the recently proposed low-memory optimization (LOMO) reduces…

Machine Learning · Computer Science 2024-06-07 Kai Lv , Hang Yan , Qipeng Guo , Haijun Lv , Xipeng Qiu

We study AI alignment through the lens of law-and-economics models of deterrence and enforcement. In these models, misconduct is not treated as an external failure, but as a strategic response to incentives: an actor weighs the gain from…

Machine Learning · Computer Science 2026-05-12 Rohit Agarwal , Joshua Lin , Mark Braverman , Elad Hazan

In order to meet the requirements for performance, safety, and latency in many IoT applications, intelligent decisions must be made right here right now at the network edge. However, the constrained resources and limited local data amount…

Machine Learning · Computer Science 2021-08-19 Sheng Yue , Ju Ren , Jiang Xin , Sen Lin , Junshan Zhang

In this paper, we investigate the convergence properties of a wide class of Adam-family methods for minimizing quadratically regularized nonsmooth nonconvex optimization problems, especially in the context of training nonsmooth neural…

Optimization and Control · Mathematics 2023-10-16 Kuangyu Ding , Nachuan Xiao , Kim-Chuan Toh

This paper deals with nonconvex stochastic optimization problems in deep learning and provides appropriate learning rates with which adaptive learning rate optimization algorithms, such as Adam and AMSGrad, can approximate a stationary…

Optimization and Control · Mathematics 2020-11-24 Hideaki Iiduka

Large Language Models (LLMs) are widely used for automated code generation, yet their apparent successes often mask a tension between pretraining objectives and alignment choices. While pretraining encourages models to exploit all available…

Software Engineering · Computer Science 2025-12-25 Oussama Ben Sghaier , Kevin Delcourt , Houari Sahraoui

As agentic AI becomes more widespread, agents with distinct and possibly conflicting goals will interact in complex ways. These multi-agent interactions pose a fundamental challenge, particularly in social dilemmas, where agents' individual…

Machine Learning · Computer Science 2025-12-02 Dereck Piche , Mohammed Muqeeth , Milad Aghajohari , Juan Duque , Michael Noukhovitch , Aaron Courville

Background: Recent developments have made it possible to accelerate neural networks training significantly using large batch sizes and data parallelism. Training in an asynchronous fashion, where delay occurs, can make training even more…

Machine Learning · Computer Science 2020-02-14 Niv Giladi , Mor Shpigel Nacson , Elad Hoffer , Daniel Soudry

Solving a problem with a deep learning model requires researchers to optimize the loss function with a certain optimization method. The research community has developed more than a hundred different optimizers, yet there is scarce data on…

Software Engineering · Computer Science 2023-03-08 Dmitry Pasechnyuk , Anton Prazdnichnykh , Mikhail Evtikhiev , Timofey Bryksin

After pre-training, large language models are aligned with human preferences based on pairwise comparisons. State-of-the-art alignment methods (such as PPO-based RLHF and DPO) are built on the assumption of aligning with a single preference…

Machine Learning · Computer Science 2025-05-30 Paul Gölz , Nika Haghtalab , Kunhe Yang

The learning rate warmup heuristic achieves remarkable success in stabilizing training, accelerating convergence and improving generalization for adaptive stochastic optimization algorithms like RMSprop and Adam. Here, we study its…

Machine Learning · Computer Science 2021-10-27 Liyuan Liu , Haoming Jiang , Pengcheng He , Weizhu Chen , Xiaodong Liu , Jianfeng Gao , Jiawei Han

The delta-bar-delta algorithm is recognized as a learning rate adaptation technique that enhances the convergence speed of the training process in optimization by dynamically scheduling the learning rate based on the difference between the…

Machine Learning · Computer Science 2023-10-18 Zhao Song , Chiwun Yang

When aligning large language models (LLMs), their performance on various tasks (such as being helpful, harmless, and honest) depends heavily on the composition of their training data. However, selecting a data mixture that achieves strong…

Machine Learning · Computer Science 2025-06-03 Nicholas E. Corrado , Julian Katz-Samuels , Adithya Devraj , Hyokun Yun , Chao Zhang , Yi Xu , Yi Pan , Bing Yin , Trishul Chilimbi

First-order optimization algorithms have been proven prominent in deep learning. In particular, algorithms such as RMSProp and Adam are extremely popular. However, recent works have pointed out the lack of ``long-term memory" in Adam-like…

Machine Learning · Computer Science 2020-12-01 Haiwen Huang , Chang Wang , Bin Dong

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 and AdamW are a class of default optimizers for training deep learning models in machine learning. These adaptive algorithms converge faster but generalize worse compared to SGD. In fact, their proved generalization error…

Machine Learning · Computer Science 2026-03-04 Feihu Huang , Guanyi Zhang , Songcan Chen

Large language models (LLMs) are increasingly used in human-AI interaction research and practice, yet existing capability and safety benchmarks reveal little about the value priorities these systems express or how those priorities…

Artificial Intelligence · Computer Science 2026-05-19 Gabriel Rongyang Lau , Wei Yan Low , Seow Min Koh , Fiona Fui-Hoon Nah , Andree Hartanto

Despite their remarkable capabilities, LLMs learn word representations that exhibit the undesirable yet poorly understood feature of anisotropy. In this paper, we argue that the second moment in Adam is a cause of anisotropic embeddings,…

Computation and Language · Computer Science 2025-08-04 Felix Stollenwerk , Tobias Stollenwerk

Many meta-learning algorithms can be formulated into an interleaved process, in the sense that task-specific predictors are learned during inner-task adaptation and meta-parameters are updated during meta-update. The normal meta-training…

Machine Learning · Computer Science 2021-08-25 Jiaxin Chen , Li-Ming Zhan , Xiao-Ming Wu , Fu-Lai Chung
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