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Zeroth-order optimization is the process of minimizing an objective $f(x)$, given oracle access to evaluations at adaptively chosen inputs $x$. In this paper, we present two simple yet powerful GradientLess Descent (GLD) algorithms that do…

Machine Learning · Computer Science 2020-05-20 Daniel Golovin , John Karro , Greg Kochanski , Chansoo Lee , Xingyou Song , Qiuyi Zhang

Hard-thresholding is an important type of algorithm in machine learning that is used to solve $\ell_0$ constrained optimization problems. However, the true gradient of the objective function can be difficult to access in certain scenarios,…

Artificial Intelligence · Computer Science 2026-05-19 Xinzhe Yuan , William de Vazelhes , Bin Gu , Huan Xiong

Federated Learning (FL) has emerged as a privacy-preserving paradigm for training machine learning models across distributed edge devices in the Internet of Things (IoT). By keeping data local and coordinating model training through a…

Machine Learning · Computer Science 2025-12-30 Ziru Niu , Hai Dong , A. K. Qin , Tao Gu , Pengcheng Zhang

In many real-world problems, first-order (FO) derivative evaluations are too expensive or even inaccessible. For solving these problems, zeroth-order (ZO) methods that only need function evaluations are often more efficient than FO methods…

Optimization and Control · Mathematics 2021-12-22 Zichong Li , Pin-Yu Chen , Sijia Liu , Songtao Lu , Yangyang Xu

The depth of networks plays a crucial role in the effectiveness of deep learning. However, the memory requirement for backpropagation scales linearly with the number of layers, which leads to memory bottlenecks during training. Moreover,…

Numerical Analysis · Mathematics 2025-02-20 Sofya Maslovskaya , Sina Ober-Blöbaum , Christian Offen , Pranav Singh , Boris Wembe

We propose a novel second-order optimization framework for training the emerging deep continuous-time models, specifically the Neural Ordinary Differential Equations (Neural ODEs). Since their training already involves expensive gradient…

Machine Learning · Computer Science 2021-11-09 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Zero-order (ZO) optimization is a powerful tool for dealing with realistic constraints. On the other hand, the gradient-tracking (GT) technique proved to be an efficient method for distributed optimization aiming to achieve consensus.…

Machine Learning · Computer Science 2024-10-10 Elissa Mhanna , Mohamad Assaad

Scaling deep neural network (DNN) training to more devices can reduce time-to-solution. However, it is impractical for users with limited computing resources. FOSI, as a hybrid order optimizer, converges faster than conventional optimizers…

Machine Learning · Computer Science 2025-08-05 Shunxian Gu , Chaoqun You , Bangbang Ren , Lailong Luo , Junxu Xia , Deke Guo

Fine-tuning large language models (LLMs) using zeroth-order (ZO) optimization has emerged as a promising alternative to traditional gradient-based methods due to its reduced memory footprint requirement. However, existing ZO methods suffer…

Machine Learning · Computer Science 2025-10-22 Zhendong Mi , Qitao Tan , Grace Li Zhang , Zhaozhuo Xu , Geng Yuan , Shaoyi Huang

Classical deep neural networks are limited in their ability to learn from emerging streams of training data. When trained sequentially on new or evolving tasks, their performance degrades sharply, making them inappropriate in real-world use…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Mozhgan PourKeshavarz , Mohammad Sabokrou

To solve unmodeled optimization problems with hard constraints, this paper proposes a novel zeroth-order approach called Safe Zeroth-order Optimization using Linear Programs (SZO-LP). The SZO-LP method solves a linear program in each…

Optimization and Control · Mathematics 2023-04-05 Baiwei Guo , Yang Wang , Yuning Jiang , Maryam Kamgarpour , Giancarlo Ferrari-Trecate

Neural network training requires a large amount of computation and thus GPUs are often used for the acceleration. While they improve the performance, GPUs are underutilized during the training.This paper proposes out-of-order (ooo)…

Machine Learning · Computer Science 2021-10-05 Hyungjun Oh , Hyungjun Oh , HyeongJu Kim , Jiwon Seo

Online continual learning (OCL) enables real-time adaptation to new data, making it crucial for dynamic robotic applications. However, its practical deployment is hindered by memory constraints in resource-limited systems, which affect key…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Zexin Li , Nikil Dutt , Cong Liu

Monocular depth estimation (MDE) plays a crucial role in enabling spatially-aware applications in Ultra-low-power (ULP) Internet-of-Things (IoT) platforms. However, the limited number of parameters of Deep Neural Networks for the MDE task,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Davide Nadalini , Manuele Rusci , Elia Cereda , Luca Benini , Francesco Conti , Daniele Palossi

The accuracy of tinyML applications is often affected by various environmental factors, such as noises, location/calibration of sensors, and time-related changes. This article introduces a neural network based on-device learning (ODL)…

Machine Learning · Computer Science 2023-12-27 Kazuki Sunaga , Masaaki Kondo , Hiroki Matsutani

Deep-learning-based intelligent services have become prevalent in cyber-physical applications including smart cities and health-care. Deploying deep-learning-based intelligence near the end-user enhances privacy protection, responsiveness,…

Machine Learning · Computer Science 2022-02-23 Sina Shahhosseini , Dongjoo Seo , Anil Kanduri , Tianyi Hu , Sung-soo Lim , Bryan Donyanavard , Amir M. Rahmani , Nikil Dutt

While traditional Deep Learning (DL) optimization methods treat all training samples equally, Distributionally Robust Optimization (DRO) adaptively assigns importance weights to different samples. However, a significant gap exists between…

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

Zeroth-order optimization (ZOO) is an important framework for stochastic optimization when gradients are unavailable or expensive to compute. A potential limitation of existing ZOO methods is the bias inherent in most gradient estimators…

Machine Learning · Computer Science 2025-10-24 Shaocong Ma , Heng Huang

Recently, a new trend of exploring sparsity for accelerating neural network training has emerged, embracing the paradigm of training on the edge. This paper proposes a novel Memory-Economic Sparse Training (MEST) framework targeting for…