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Full fine-tuning of Large Language Models (LLMs) is notoriously memory-intensive, primarily because conventional optimizers such as SGD or Adam assume access to exact gradients derived from cached activations. Existing solutions either…

Machine Learning · Computer Science 2025-10-28 Jing Yang , Kaitong Cai , Yijia Fan , Yufeng Yang , Keze Wang

In this paper, we study the problem of constrained robust (min-max) optimization ina black-box setting, where the desired optimizer cannot access the gradients of the objective function but may query its values. We present a principled…

Machine Learning · Computer Science 2020-06-18 Sijia Liu , Songtao Lu , Xiangyi Chen , Yao Feng , Kaidi Xu , Abdullah Al-Dujaili , Minyi Hong , Una-May O'Reilly

LLM-based optimization has shown remarkable potential in enhancing agentic systems. However, the conventional approach of prompting LLM optimizer with the whole training trajectories on training dataset in a single pass becomes untenable as…

Computation and Language · Computer Science 2025-05-08 Jiale Liu , Yifan Zeng , Shaokun Zhang , Chi Zhang , Malte Højmark-Bertelsen , Marie Normann Gadeberg , Huazheng Wang , Qingyun Wu

We investigate accelerated zeroth-order algorithms for smooth composite convex optimization problems. While for unconstrained optimization, existing methods that merge 2-point zeroth-order gradient estimators with first-order frameworks…

Optimization and Control · Mathematics 2024-07-15 Silan Zhang , Yujie Tang

Robust and stochastic optimal control problem (OCP) formulations allow a systematic treatment of uncertainty, but are typically associated with a high computational cost. The recently proposed zero-order robust optimization (zoRO) algorithm…

Optimization and Control · Mathematics 2023-11-09 Jonathan Frey , Yunfan Gao , Florian Messerer , Amon Lahr , Melanie Zeilinger , Moritz Diehl

Non-analytical objectives and constraints often arise in control systems, particularly in problems with complex dynamics, which are challenging yet lack efficient solution methods. In this work, we consider general constrained optimization…

Optimization and Control · Mathematics 2025-07-16 Yuke Zhou , Ruiyang Jin , Siyang Gao , Jianxiao Wang , Jie Song

The dual challenges of prohibitive communication overhead and the impracticality of gradient computation due to data privacy or black-box constraints in distributed systems motivate this work on communication-constrained gradient-free…

Optimization and Control · Mathematics 2025-09-19 Youqing Hua , Shuai Liu , Yiguang Hong , Wei Ren

Recently, we proposed to transform the outputs of each hidden neuron in a multi-layer perceptron network to have zero output and zero slope on average, and use separate shortcut connections to model the linear dependencies instead. We…

Machine Learning · Computer Science 2013-03-12 Tommi Vatanen , Tapani Raiko , Harri Valpola , Yann LeCun

Low-bit forward evaluation is an attractive route to memory-efficient zeroth-order (ZO) adaptation: the optimizer needs only scalar losses, and the model can be queried near deployment precision. The obstacle is that a quantized ZO query is…

Machine Learning · Computer Science 2026-05-12 Yao Shu , Zilin Zhu

Two types of zeroth-order stochastic algorithms have recently been designed for nonconvex optimization respectively based on the first-order techniques SVRG and SARAH/SPIDER. This paper addresses several important issues that are still open…

Machine Learning · Computer Science 2019-10-29 Kaiyi Ji , Zhe Wang , Yi Zhou , Yingbin Liang

Training efficiency in large-scale models is typically assessed through memory consumption, training time, and model performance. Current methods often exhibit trade-offs among these metrics, as optimizing one generally degrades at least…

Machine Learning · Computer Science 2026-02-03 Tianhao Miao , Zhongyuan Bao , Lejun Zhang

Cross-device federated learning (FL) is a growing machine learning setting whereby multiple edge devices collaborate to train a model without disclosing their raw data. With the great number of mobile devices participating in more FL…

Machine Learning · Computer Science 2025-02-14 Elissa Mhanna , Mohamad Assaad

Split learning (SL) enables collaborative training of large language models (LLMs) between resource-constrained edge devices and compute-rich servers by partitioning model computation across the network boundary. However, existing SL…

Machine Learning · Computer Science 2026-04-07 Aakriti Lnu , Zhe Li , Dandan Liang , Chao Huang , Rui Li , Haibo Yang

Training large language models (LLMs) encounters challenges in GPU memory consumption due to the high memory requirements of model states. The widely used Zero Redundancy Optimizer (ZeRO) addresses this issue through strategic sharding but…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-14 Qiaoling Chen , Qinghao Hu , Guoteng Wang , Yingtong Xiong , Ting Huang , Xun Chen , Yang Gao , Hang Yan , Yonggang Wen , Tianwei Zhang , Peng Sun

Zeroth-order optimization (ZO) algorithms have been recently used to solve black-box or simulation-based learning and control problems, where the gradient of the objective function cannot be easily computed but can be approximated using the…

Optimization and Control · Mathematics 2021-09-09 Yan Zhang , Yi Zhou , Kaiyi Ji , Michael M. Zavlanos

We study stochastic zeroth-order (ZO) optimization of smooth nonconvex objectives under heavy-tailed sample-gradient noise. This regime is motivated by empirical evidence that gradient noise in modern machine learning can violate the…

Optimization and Control · Mathematics 2026-05-19 Taha El Bakkali , El Mahdi Chayti , Qiuyi Zhang , Imane Rahali , Omar Saadi

Existing reward alignment methods for diffusion and flow models rely on multi-step stochastic trajectories, making them difficult to extend to deterministic generators. A natural alternative is noise-space optimization, but existing…

Machine Learning · Computer Science 2026-05-14 Jeongsol Kim , Hongeun Kim , Jian Wang , Jong Chul Ye

Second-order methods have shown state-of-the-art performance for optimizing deep neural networks. Nonetheless, their large memory requirement and high computational complexity, compared to first-order methods, hinder their versatility in a…

Machine Learning · Computer Science 2022-03-08 Ehsan Amid , Rohan Anil , Manfred K. Warmuth

We propose Zeroth-Order Random Matrix Search for Learning from Demonstrations (ZORMS-LfD). ZORMS-LfD enables the costs, constraints, and dynamics of constrained optimal control problems, in both continuous and discrete time, to be learned…

Machine Learning · Computer Science 2025-07-24 Olivia Dry , Timothy L. Molloy , Wanxin Jin , Iman Shames

Gradient descent and backpropagation have enabled neural networks to achieve remarkable results in many real-world applications. Despite ongoing success, training a neural network with gradient descent can be a slow and strenuous affair. We…

Machine Learning · Computer Science 2020-11-19 Varun Ranganathan , Alex Lewandowski