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In the paper, we propose a class of accelerated zeroth-order and first-order momentum methods for both nonconvex mini-optimization and minimax-optimization. Specifically, we propose a new accelerated zeroth-order momentum (Acc-ZOM) method…

最优化与控制 · 数学 2022-01-19 Feihu Huang , Shangqian Gao , Jian Pei , Heng Huang

Spiking Neural Networks (SNNs) offer a biologically inspired computational paradigm that emulates neuronal activity through discrete spike-based processing. Despite their advantages, training SNNs with traditional backpropagation (BP)…

神经与进化计算 · 计算机科学 2025-05-28 Mohammadnavid Ghader , Saeed Reza Kheradpisheh , Bahar Farahani , Mahmood Fazlali

Using the notion of conservative gradient, we provide a simple model to estimate the computational costs of the backward and forward modes of algorithmic differentiation for a wide class of nonsmooth programs. The overhead complexity of the…

数值分析 · 数学 2023-02-07 Jérôme Bolte , Ryan Boustany , Edouard Pauwels , Béatrice Pesquet-Popescu

Zeroth-order (ZO) optimization has long been favored for its biological plausibility and its capacity to handle non-differentiable objectives, yet its computational complexity has historically limited its application in deep neural…

机器学习 · 计算机科学 2026-02-12 Sansheng Cao , Zhengyu Ma , Yonghong Tian

We present ForwardDiff, a Julia package for forward-mode automatic differentiation (AD) featuring performance competitive with low-level languages like C++. Unlike recently developed AD tools in other popular high-level languages such as…

数学软件 · 计算机科学 2016-07-28 Jarrett Revels , Miles Lubin , Theodore Papamarkou

Despite the remarkable performance of multimodal large language models (MLLMs) across diverse tasks, the substantial training and inference costs impede their advancement. In this paper, we propose p-MoD, an efficient MLLM architecture that…

计算机视觉与模式识别 · 计算机科学 2025-08-07 Jun Zhang , Desen Meng , Zhengming Zhang , Zhenpeng Huang , Tao Wu , Limin Wang

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…

机器学习 · 计算机科学 2026-03-11 Hui Yang , Tao Ren , Jinyang Jiang , Wan Tian , Yijie Peng

Audio and omni-modal large language models exhibit impressive cross-modal reasoning capabilities. However, applying standard reinforcement learning post-training algorithms to these models exposes a critical structural vulnerability:…

计算与语言 · 计算机科学 2026-05-28 Cihan Xiao , Yiwen Shao , Chenxing Li , Xiang He , Zhenwen Liang , Steve Yves , Sanjeev Khudanpur , Liefeng Bo

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…

最优化与控制 · 数学 2021-09-09 Yan Zhang , Yi Zhou , Kaiyi Ji , Michael M. Zavlanos

Backpropagation remains the dominant algorithm for training deep neural networks, but it incurs substantial memory overhead and relies on global error propagation, which is often regarded as biologically implausible. The Forward-Forward…

机器学习 · 计算机科学 2026-05-08 James Gong , Bruce Li , Waleed Abdulla

Alternating direction method of multipliers (ADMM) is a popular optimization tool for the composite and constrained problems in machine learning. However, in many machine learning problems such as black-box attacks and bandit feedback, ADMM…

最优化与控制 · 数学 2019-07-31 Feihu Huang , Shangqian Gao , Songcan Chen , Heng Huang

Zeroth-order optimization (ZO) typically relies on two-point feedback to estimate the unknown gradient of the objective function. Nevertheless, two-point feedback can not be used for online optimization of time-varying objective functions,…

机器学习 · 计算机科学 2020-12-04 Yan Zhang , Yi Zhou , Kaiyi Ji , Michael M. Zavlanos

Although backpropagation is widely accepted as a training algorithm for artificial neural networks, researchers are always looking for inspiration from the brain to find ways with potentially better performance. Forward-Forward is a novel…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Hossein Aghagolzadeh , Mehdi Ezoji

Memory-efficient backpropagation (MeBP) has enabled first-order fine-tuning of large language models (LLMs) on mobile devices with less than 1GB memory. However, MeBP requires backward computation through all transformer layers at every…

机器学习 · 计算机科学 2026-02-16 Juneyoung Park , Eunbeen Yoon , Seongwan Kim. Jaeho Lee

Continual learning requires new-task adaptation without damaging previously acquired capabilities. Recent forward-pass and zeroth-order (ZO) results show that low-query adaptation may retain better than first-order (FO) descent, but the…

机器学习 · 计算机科学 2026-05-12 Yao Shu , Jian Mu , Zhongxiang Dai

Despite the great achievements of the modern deep neural networks (DNNs), the vulnerability/robustness of state-of-the-art DNNs raises security concerns in many application domains requiring high reliability. Various adversarial attacks are…

机器学习 · 计算机科学 2020-02-20 Pu Zhao , Pin-Yu Chen , Siyue Wang , Xue Lin

Residual neural networks can be viewed as the forward Euler discretization of an Ordinary Differential Equation (ODE) with a unit time step. This has recently motivated researchers to explore other discretization approaches and train ODE…

机器学习 · 计算机科学 2019-07-02 Amir Gholami , Kurt Keutzer , George Biros

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 this paper we study consensus-based optimization (CBO), a versatile, flexible and customizable optimization method suitable for performing nonconvex and nonsmooth global optimizations in high dimensions. CBO is a multi-particle…

数值分析 · 数学 2026-05-28 Konstantin Riedl

Zeroth-order optimization (ZO) has demonstrated remarkable promise in efficient fine-tuning tasks for Large Language Models (LLMs). In particular, recent advances incorporate the low-rankness of gradients, introducing low-rank ZO estimators…

机器学习 · 计算机科学 2025-02-03 Yan Sun , Tiansheng Huang , Liang Ding , Li Shen , Dacheng Tao