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Safe derivative-free optimization under unknown constraints is a fundamental challenge in modern learning and control. Existing zeroth-order (ZO) methods typically still assume access to a first-order oracle of the constraint functions or…

最优化与控制 · 数学 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

机器学习 · 计算机科学 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

Tuning step sizes is crucial for the stability and efficiency of optimization algorithms. While adaptive coordinate-wise step sizes have been shown to outperform scalar step size in first-order methods, their use in second-order methods is…

机器学习 · 计算机科学 2025-05-20 Wei Lin , Qingyu Song , Hong Xu

Forward-mode automatic differentiation (FmAD) and zero-order (ZO) optimization have been proposed as memory-efficient alternatives to backpropagation (BP) for gradient computation, especially in low-resource settings. However, their…

机器学习 · 计算机科学 2025-06-30 Kunjal Panchal , Sunav Choudhary , Yuriy Brun , Hui Guan

In this paper, a novel stepwise learning approach based on estimating desired premise parts' outputs by solving a constrained optimization problem is proposed. This learning approach does not require backpropagating the output error to…

机器学习 · 计算机科学 2021-11-23 Armin Salimi-Badr , Mohammad Mehdi Ebadzadeh

Fine-tuning large pretrained language models (LLMs) is a cornerstone of modern NLP, yet its growing memory demands (driven by backpropagation and large optimizer States) limit deployment in resource-constrained settings. Zero-order (ZO)…

We study zeroth-order optimization for convex functions where we further assume that function evaluations are unavailable. Instead, one only has access to a $\textit{comparison oracle}$, which given two points $x$ and $y$ returns a single…

最优化与控制 · 数学 2022-04-26 HanQin Cai , Daniel Mckenzie , Wotao Yin , Zhenliang Zhang

Gradient-based methods enable efficient search capabilities in high dimensions. However, in order to apply them effectively in offline optimization paradigms such as offline Reinforcement Learning (RL) or Imitation Learning (IL), we require…

机器学习 · 计算机科学 2023-10-18 H. J. Terry Suh , Glen Chou , Hongkai Dai , Lujie Yang , Abhishek Gupta , Russ Tedrake

Federated learning (FL) enables decentralized clients to collaboratively train a global model under the orchestration of a central server without exposing their individual data. However, the iterative exchange of model parameters between…

机器学习 · 计算机科学 2025-03-11 Xinge Ma , Jin Wang , Xuejie Zhang

We propose a Stochastic Gradient Descent (SGD)-type algorithm for Personalized Federated Learning which can be particularly attractive for mobile energy-limited regimes due to its low per-client computational cost. The model to be trained…

机器学习 · 计算机科学 2025-12-15 Sotirios Nikoloutsopoulos , Iordanis Koutsopoulos , Michalis K. Titsias

The widespread practice of fine-tuning large language models (LLMs) on domain-specific data faces two major challenges in memory and privacy. First, as the size of LLMs continues to grow, the memory demands of gradient-based training…

机器学习 · 计算机科学 2024-06-07 Liang Zhang , Bingcong Li , Kiran Koshy Thekumparampil , Sewoong Oh , Niao He

Fine-tuning on task-specific datasets is a widely-embraced paradigm of harnessing the powerful capability of pretrained LLMs for various downstream tasks. Due to the popularity of LLMs fine-tuning and its accompanying privacy concerns,…

机器学习 · 计算机科学 2025-03-11 Z Liu , J Lou , W Bao , Y Hu , B Li , Z Qin , K Ren

Neural network optimization remains one of the most consequential yet poorly understood challenges in modern AI research, where improvements in training algorithms can lead to enhanced feature learning in foundation models,…

机器学习 · 计算机科学 2025-12-23 Ansh Nagwekar

Continuously adapting pre-trained models to local data on resource constrained edge devices is the $\emph{last mile}$ for model deployment. However, as models increase in size and depth, backpropagation requires a large amount of memory,…

In this paper, we study the standard formulation of an optimization problem when the computation of gradient is not available. Such a problem can be classified as a "black box" optimization problem, since the oracle returns only the value…

最优化与控制 · 数学 2024-09-30 Aleksandr Lobanov , Nail Bashirov , Alexander Gasnikov

As neural networks are increasingly deployed in dynamic environments, they face the challenge of catastrophic forgetting, the tendency to overwrite previously learned knowledge when adapting to new tasks, resulting in severe performance…

机器学习 · 计算机科学 2026-03-31 Anika Singh , Aayush Dhaulakhandi , Varun Chopade , Likhith Malipati , David Martinez , Kevin Zhu

This paper studies the empirical efficacy and benefits of using projection-free first-order methods in the form of Conditional Gradients, a.k.a. Frank-Wolfe methods, for training Neural Networks with constrained parameters. We draw…

机器学习 · 计算机科学 2020-10-22 Sebastian Pokutta , Christoph Spiegel , Max Zimmer

Backward propagation (BP) is widely used to compute the gradients in neural network training. However, it is hard to implement BP on edge devices due to the lack of hardware and software resources to support automatic differentiation. This…

机器学习 · 计算机科学 2023-10-11 Yequan Zhao , Xinling Yu , Zhixiong Chen , Ziyue Liu , Sijia Liu , Zheng Zhang

Backpropagation has been the cornerstone of neural network training for decades, yet its inefficiencies in time and energy consumption limit its suitability for resource-constrained edge devices. While low-precision neural network…

机器学习 · 计算机科学 2025-07-01 Jingxiao Ma , Priyadarshini Panda , Sherief Reda

We derive several numerical methods for designing optimized first-order algorithms in unconstrained convex optimization settings. Our methods are based on the Performance Estimation Problem (PEP) framework, which casts the worst-case…

最优化与控制 · 数学 2025-07-29 Yassine Kamri , Julien M. Hendrickx , François Glineur