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Memory-efficient optimization methods have recently gained increasing attention for scaling full-parameter training of large language models under the GPU-memory bottleneck. Existing approaches either lack clear convergence guarantees, or…

Machine Learning · Computer Science 2026-03-11 Hui Yang , Tao Ren , Jinyang Jiang , Wan Tian , Yijie Peng

Extracting latent low-dimensional structure from high-dimensional data is of paramount importance in timely inference tasks encountered with `Big Data' analytics. However, increasingly noisy, heterogeneous, and incomplete datasets as well…

Machine Learning · Statistics 2015-06-19 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

Stochastic gradient descent algorithms for training linear and kernel predictors are gaining more and more importance, thanks to their scalability. While various methods have been proposed to speed up their convergence, the model selection…

Machine Learning · Computer Science 2014-06-17 Francesco Orabona

Online safe reinforcement learning (RL) plays a key role in dynamic environments, with applications in autonomous driving, robotics, and cybersecurity. The objective is to learn optimal policies that maximize rewards while satisfying safety…

Machine Learning · Computer Science 2025-06-03 Jiahui Zhu , Kihyun Yu , Dabeen Lee , Xin Liu , Honghao Wei

In this paper, we introduce a novel learning paradigm for Adaptive Large Language Model (LLM) agents that eliminates the need for fine-tuning the underlying LLMs. Existing approaches are often either rigid, relying on static, handcrafted…

Machine Learning · Computer Science 2025-08-26 Huichi Zhou , Yihang Chen , Siyuan Guo , Xue Yan , Kin Hei Lee , Zihan Wang , Ka Yiu Lee , Guchun Zhang , Kun Shao , Linyi Yang , Jun Wang

Dimensionality reduction-based dictionary learning methods in the literature have often used iterative random projections. The dimensionality of such a random projection matrix is a random number that might not lead to a separable subspace…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 G. Madhuri , Atul Negi , Kaluri V. Rangarao

While Hybrid Supervised Fine-Tuning (SFT) followed by Reinforcement Learning (RL) has become the standard paradigm for training LLM agents, effective mechanisms for data allocation between these stages remain largely underexplored. Current…

Artificial Intelligence · Computer Science 2026-04-14 Yang Zhao , Yangou Ouyang , Xiao Ding , Hepeng Wang , Bibo Cai , Kai Xiong , Jinglong Gao , Zhouhao Sun , Li Du , Bing Qin , Ting Liu

The concept of learning to optimize involves utilizing a trainable optimization strategy rather than relying on manually defined full gradient estimations such as ADAM. We present a framework that jointly trains the full gradient estimator…

Machine Learning · Computer Science 2026-01-30 Ruiqi Wang , Diego Klabjan

Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

Optimization and Control · Mathematics 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

We give sublinear-time approximation algorithms for some optimization problems arising in machine learning, such as training linear classifiers and finding minimum enclosing balls. Our algorithms can be extended to some kernelized versions…

Machine Learning · Computer Science 2010-10-22 Kenneth L. Clarkson , Elad Hazan , David P. Woodruff

We present a stochastic descent algorithm for unconstrained optimization that is particularly efficient when the objective function is slow to evaluate and gradients are not easily obtained, as in some PDE-constrained optimization and…

Optimization and Control · Mathematics 2024-07-08 David Kozak , Stephen Becker , Alireza Doostan , Luis Tenorio

In this paper, we propose a generalized framework for developing learning-rate-free momentum stochastic gradient descent (SGD) methods in the minimization of nonsmooth nonconvex functions, especially in training nonsmooth neural networks.…

Optimization and Control · Mathematics 2024-06-27 Xiaoyin Hu , Nachuan Xiao , Xin Liu , Kim-Chuan Toh

The quadratic cost of attention limits the scalability of long-context LLMs, especially under limited hardware memory budgets. While attention is often sparse, existing static sparse methods cannot adapt to task- or input-dependent…

Computation and Language · Computer Science 2026-05-29 Siheng Xiong , Joe Zou , Faramarz Fekri , Yae Jee Cho

We present multiplexed gradient descent (MGD), a gradient descent framework designed to easily train analog or digital neural networks in hardware. MGD utilizes zero-order optimization techniques for online training of hardware neural…

Machine Learning · Computer Science 2023-08-17 Adam N. McCaughan , Bakhrom G. Oripov , Natesh Ganesh , Sae Woo Nam , Andrew Dienstfrey , Sonia M. Buckley

We study nonstationary generalized linear bandits (GLBs), where the expected reward is modeled through a nonlinear link function with an unknown time-varying parameter. This framework encompasses a broad class of reward models, including…

Machine Learning · Statistics 2026-05-26 Joongkyu Lee , Min-hwan Oh

We consider stochastic convex optimization problems, where several machines act asynchronously in parallel while sharing a common memory. We propose a robust training method for the constrained setting and derive non asymptotic convergence…

Machine Learning · Computer Science 2021-06-24 Rotem Zamir Aviv , Ido Hakimi , Assaf Schuster , Kfir Y. Levy

Learning rate adaptation is a popular topic in machine learning. Gradient Descent trains neural nerwork with a fixed learning rate. Learning rate adaptation is proposed to accelerate the training process through adjusting the step size in…

Machine Learning · Computer Science 2022-10-20 Bozhou Chen , Hongzhi Wang , Chenmin Ba

Self-supervised VO methods have shown great success in jointly estimating camera pose and depth from videos. However, like most data-driven methods, existing VO networks suffer from a notable decrease in performance when confronted with…

Computer Vision and Pattern Recognition · Computer Science 2020-05-14 Shunkai Li , Xin Wang , Yingdian Cao , Fei Xue , Zike Yan , Hongbin Zha

The architecture of a deep neural network is defined explicitly in terms of the number of layers, the width of each layer and the general network topology. Existing optimisation frameworks neglect this information in favour of implicit…

Machine Learning · Computer Science 2023-04-12 Jeremy Bernstein , Chris Mingard , Kevin Huang , Navid Azizan , Yisong Yue

We present a novel, fast (exponential rate adaption), ab initio (hyper-parameter-free) gradient based optimizer algorithm. The main idea of the method is to adapt the learning rate $\alpha$ by situational awareness, mainly striving for…

Machine Learning · Computer Science 2023-09-13 Alexander Kleinsorge , Stefan Kupper , Alexander Fauck , Felix Rothe
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