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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

Recent research explores optimization using large language models (LLMs) by either iteratively seeking next-step solutions from LLMs or directly prompting LLMs for an optimizer. However, these approaches exhibit inherent limitations,…

Optimization and Control · Mathematics 2024-03-06 Zeyuan Ma , Hongshu Guo , Jiacheng Chen , Guojun Peng , Zhiguang Cao , Yining Ma , Yue-Jiao Gong

Adaptive optimizers can reduce to normalized steepest descent (NSD) when only adapting to the current gradient, suggesting a close connection between the two algorithmic families. A key distinction between their analyses, however, lies in…

Machine Learning · Computer Science 2025-11-26 Shuo Xie , Tianhao Wang , Beining Wu , Zhiyuan Li

Distributed optimization is fundamental to modern machine learning applications like federated learning, but existing methods often struggle with ill-conditioned problems and face stability-versus-speed tradeoffs. We introduce fractional…

Machine Learning · Computer Science 2024-12-04 Andrei Lixandru , Marcel van Gerven , Sergio Pequito

Zeroth-order or derivative-free optimization (MeZO) is an attractive strategy for finetuning large language models (LLMs) because it eliminates the memory overhead of backpropagation. However, it converges slowly due to the inherent curse…

Machine Learning · Computer Science 2026-04-21 Lejs Deen Behric , Liang Zhang , Bingcong Li , Kiran Koshy Thekumparampil

Optimization of non-convex loss surfaces containing many local minima remains a critical problem in a variety of domains, including operations research, informatics, and material design. Yet, current techniques either require extremely high…

Machine Learning · Computer Science 2021-07-21 Amil Merchant , Luke Metz , Sam Schoenholz , Ekin Dogus Cubuk

Underwater visual localization remains challenging due to wavelength-dependent attenuation, poor texture, and non-Gaussian sensor noise. We introduce MARVO, a physics-aware, learning-integrated odometry framework that fuses underwater image…

Robotics · Computer Science 2025-12-01 Sacchin Sundar , Atman Kikani , Aaliya Alam , Sumukh Shrote , A. Nayeemulla Khan , A. Shahina

We present a new family of min-max optimization algorithms that automatically exploit the geometry of the gradient data observed at earlier iterations to perform more informative extra-gradient steps in later ones. Thanks to this adaptation…

Optimization and Control · Mathematics 2020-11-20 Kimon Antonakopoulos , E. Veronica Belmega , Panayotis Mertikopoulos

The optimization of large language models (LLMs) remains a critical challenge, particularly as model scaling exacerbates sensitivity to algorithmic imprecision and training instability. Recent advances in optimizers have improved…

Machine Learning · Computer Science 2025-11-26 Wei He , Kai Han , Hang Zhou , Hanting Chen , Zhicheng Liu , Xinghao Chen , Yunhe Wang

We develop a novel framework that adds the regularizers of the sparse group lasso to a family of adaptive optimizers in deep learning, such as Momentum, Adagrad, Adam, AMSGrad, AdaHessian, and create a new class of optimizers, which are…

Machine Learning · Computer Science 2024-12-06 Yun Yue , Yongchao Liu , Suo Tong , Minghao Li , Zhen Zhang , Chunyang Wen , Huanjun Bao , Lihong Gu , Jinjie Gu , Yixiang Mu

We consider a variable metric and inexact version of the FISTA-type algorithm considered in (Chambolle, Pock, 2016, Calatroni, Chambolle, 2019) for the minimization of the sum of two (possibly strongly) convex functions. The proposed…

Optimization and Control · Mathematics 2021-01-12 Simone Rebegoldi , Luca Calatroni

Adversarial training (AT) remains one of the most reliable empirical defenses against adversarial attacks. Its robustness critically depends on how the underlying min-max objective is optimized. In practice, Stochastic Gradient Descent…

Machine Learning · Computer Science 2026-05-27 Jun Yan , Weiquan Huang , Jiankai Zuo , Yujian Mo , Xi Fang , Chengliang Wu , Zeming Wei

Wireless channel sensing is one of the key enablers for integrated sensing and communication (ISAC) which helps communication networks understand the surrounding environment. In this work, we consider MIMO-OFDM systems and aim to design…

Information Theory · Computer Science 2023-01-26 Xinyang Li , Vlad C. Andrei , Ullrich J. Mönich , Holger Boche

Catastrophic forgetting impairs the continuous learning of large language models. We propose Fisher-Guided Gradient Masking (FGGM), a framework that mitigates this by strategically selecting parameters for updates using diagonal Fisher…

Machine Learning · Computer Science 2026-01-27 Chao-Hong Tan , Qian Chen , Wen Wang , Yukun Ma , Chong Zhang , Chong Deng , Qinglin Zhang , Xiangang Li , Jieping Ye

In this work, we explore combining automatic hyperparameter tuning and optimization for federated learning (FL) in an online, one-shot procedure. We apply a principled approach on a method for adaptive client learning rate, number of local…

Machine Learning · Computer Science 2022-11-07 Andrew K Kan

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei

Recent works have shown that gradient-update alignment is a powerful signal for modulating optimizer updates, often leading to faster training. We promote this update-wise heuristic as a mathematically grounded principle for selecting and…

Machine Learning · Computer Science 2026-05-08 Jaerin Lee , Kyoung Mu Lee

This thesis presents a novel approach to neural network training that addresses the challenge of determining the optimal number of learning factors. The proposed Adaptive Multiple Optimal Learning Factors (AMOLF) algorithm dynamically…

Machine Learning · Computer Science 2024-06-12 Jeshwanth Challagundla

Machine learning frameworks adopt iterative optimizers to train neural networks. Conventional eager execution separates the updating of trainable parameters from forward and backward computations. However, this approach introduces…

Machine Learning · Computer Science 2021-04-02 Zixuan Jiang , Jiaqi Gu , Mingjie Liu , Keren Zhu , David Z. Pan

Continual Learning with Pre-trained Models holds great promise for efficient adaptation across sequential tasks. However, most existing approaches freeze PTMs and rely on auxiliary modules like prompts or adapters, limiting model plasticity…

Machine Learning · Computer Science 2025-11-17 Huan Zhang , Shenghua Fan , Shuyu Dong , Yujin Zheng , Dingwen Wang , Fan Lyu