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In this paper, we propose a model-free feedback solution method to solve generic constrained optimization problems, without knowing the specific formulations of the objective and constraint functions. This solution method is termed…

最优化与控制 · 数学 2022-06-23 Xin Chen , Jorge I. Poveda , Na Li

As application demands for zeroth-order (gradient-free) optimization accelerate, the need for variance reduced and faster converging approaches is also intensifying. This paper addresses these challenges by presenting: a) a comprehensive…

机器学习 · 计算机科学 2018-06-08 Sijia Liu , Bhavya Kailkhura , Pin-Yu Chen , Paishun Ting , Shiyu Chang , Lisa Amini

Fine-tuning large language models (LLMs) with backpropagation achieves high performance but incurs substantial memory overhead, limiting scalability on resource-constrained hardware. Zeroth-order (ZO) optimization provides a…

人工智能 · 计算机科学 2026-03-24 Shuo Wang , Ziyu Chen , Ming Tang

In the evolving landscape of natural language processing (NLP), fine-tuning pre-trained Large Language Models (LLMs) with first-order (FO) optimizers like SGD and Adam has become standard. Yet, as LLMs grow {in size}, the substantial memory…

Recently, zeroth-order (ZO) optimization plays an essential role in scenarios where gradient information is inaccessible or unaffordable, such as black-box systems and resource-constrained environments. While existing adaptive methods such…

机器学习 · 计算机科学 2025-06-10 Yao Shu , Qixin Zhang , Kun He , Zhongxiang Dai

In this work we address the problem of convex optimization in a multi-agent setting where the objective is to minimize the mean of local cost functions whose derivatives are not available (e.g. black-box models). Moreover agents can only…

最优化与控制 · 数学 2023-06-14 Alessio Maritan , Luca Schenato

In this study, we delve into an emerging optimization challenge involving a black-box objective function that can only be gauged via a ranking oracle-a situation frequently encountered in real-world scenarios, especially when the function…

机器学习 · 计算机科学 2024-04-16 Zhiwei Tang , Dmitry Rybin , Tsung-Hui Chang

Zeroth-order (ZO) optimization has emerged as a promising alternative to gradient-based backpropagation methods, particularly for black-box optimization and large language model (LLM) fine-tuning. However, ZO methods often suffer from slow…

机器学习 · 计算机科学 2025-05-26 Sihwan Park , Jihun Yun , SungYub Kim , Souvik Kundu , Eunho Yang

The efficacy of large language models (LLMs) in understanding and generating natural language has aroused a wide interest in developing prompt-based methods to harness the power of black-box LLMs. Existing methodologies usually prioritize a…

人工智能 · 计算机科学 2024-03-06 Wenyang Hu , Yao Shu , Zongmin Yu , Zhaoxuan Wu , Xiangqiang Lin , Zhongxiang Dai , See-Kiong Ng , Bryan Kian Hsiang Low

Large foundation models, such as large language models, have performed exceptionally well in various application scenarios. Building or fully fine-tuning such large models is usually prohibitive due to either hardware budget or lack of…

机器学习 · 计算机科学 2024-05-28 Yijiang Pang , Jiayu Zhou

We consider the zeroth-order optimization problem in the huge-scale setting, where the dimension of the problem is so large that performing even basic vector operations on the decision variables is infeasible. In this paper, we propose a…

最优化与控制 · 数学 2021-08-17 HanQin Cai , Yuchen Lou , Daniel McKenzie , Wotao Yin

Direct Preference Optimisation (DPO) has emerged as a powerful method for aligning Large Language Models (LLMs) with human preferences, offering a stable and efficient alternative to approaches that use Reinforcement learning via Human…

人工智能 · 计算机科学 2025-05-06 Sarvesh Shashidhar , Ritik , Nachiketa Patil , Suraj Racha , Ganesh Ramakrishnan

This paper studies a compressed momentum-based single-point zeroth-order algorithm for stochastic distributed nonconvex optimization, aiming to alleviate communication overhead and address the unavailability of explicit gradient…

最优化与控制 · 数学 2026-05-12 Linjing Chen , Antai Xie , Xinlei Yi , Xiaoqiang Ren , Xiaofan Wang

The problem of stochastic convex optimization with bandit feedback (in the learning community) or without knowledge of gradients (in the optimization community) has received much attention in recent years, in the form of algorithms and…

机器学习 · 计算机科学 2013-04-30 Ohad Shamir

Zeroth-order (ZO) optimization is an emerging deep neural network (DNN) training paradigm that offers computational simplicity and memory savings. However, this seemingly promising approach faces a significant and long-ignored challenge. ZO…

机器学习 · 计算机科学 2025-07-28 Qitao Tan , Sung-En Chang , Rui Xia , Huidong Ji , Chence Yang , Ci Zhang , Jun Liu , Zheng Zhan , Zhenman Fang , Zhou Zou , Yanzhi Wang , Jin Lu , Geng Yuan

Online bilevel optimization (OBO) is a powerful framework for machine learning problems where both outer and inner objectives evolve over time, requiring dynamic updates. Current OBO approaches rely on deterministic \textit{window-smoothed}…

机器学习 · 计算机科学 2026-05-20 Parvin Nazari , Bojian Hou , Davoud Ataee Tarzanagh , Li Shen , George Michailidis

We consider non-smooth saddle point optimization problems. To solve these problems, we propose a zeroth-order method under bounded or Lipschitz continuous noise, possible adversarial. In contrast to the state-of-the-art algorithms, our…

最优化与控制 · 数学 2023-03-28 Darina Dvinskikh , Vladislav Tominin , Yaroslav Tominin , Alexander Gasnikov

Molecule optimization is an important problem in chemical discovery and has been approached using many techniques, including generative modeling, reinforcement learning, genetic algorithms, and much more. Recent work has also applied…

生物大分子 · 定量生物学 2022-10-31 Elvin Lo , Pin-Yu Chen

We consider an unconstrained problem of minimizing a smooth convex function which is only available through noisy observations of its values, the noise consisting of two parts. Similar to stochastic optimization problems, the first part is…

最优化与控制 · 数学 2020-09-22 Eduard Gorbunov , Pavel Dvurechensky , Alexander Gasnikov

Optimizing large-scale nonconvex problems, common in deep learning, demands balancing rapid convergence with computational efficiency. First-order (FO) optimizers, which serve as today's baselines, provide fast convergence and good…

机器学习 · 计算机科学 2025-09-30 Jiahe Chen , Ziye Ma