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Under suitable conditions, one-step generalized method of moments (GMM) based on the first-difference (FD) transformation is numerically equal to one-step GMM based on the forward orthogonal deviations (FOD) transformation. However, when…

Econometrics · Economics 2018-08-21 Robert F. Phillips

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…

Machine Learning · Computer Science 2025-06-10 Yao Shu , Qixin Zhang , Kun He , Zhongxiang Dai

Training language models on long sequence data is a demanding requirement for enhancing the model's capability on complex tasks, e.g., long-chain reasoning. However, as the sequence length scales up, the memory cost for storing activation…

Machine Learning · Computer Science 2025-06-04 Qijun Luo , Mengqi Li , Lei Zhao , Xiao Li

Large language models (LLMs) have demonstrated impressive capabilities across numerous NLP tasks. Nevertheless, conventional first-order fine-tuning techniques impose heavy memory demands, creating practical obstacles to real-world…

Machine Learning · Computer Science 2025-05-27 Zhendong Mi , Qitao Tan , Xiaodong Yu , Zining Zhu , Geng Yuan , Shaoyi Huang

As the most successful variant and improvement for Trust Region Policy Optimization (TRPO), proximal policy optimization (PPO) has been widely applied across various domains with several advantages: efficient data utilization, easy…

Machine Learning · Computer Science 2019-02-15 Xiangxiang Chu

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…

Machine Learning · Computer Science 2024-06-07 Liang Zhang , Bingcong Li , Kiran Koshy Thekumparampil , Sewoong Oh , Niao He

Backpropagation (BP) is widely used for calculating gradients in deep neural networks (DNNs). Applied often along with stochastic gradient descent (SGD) or its variants, BP is considered as a de-facto choice in a variety of machine learning…

Machine Learning · Computer Science 2024-01-11 Ziang Li , Yiwen Guo , Haodi Liu , Changshui Zhang

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

Recently, several studies proposed methods to utilize some classes of optimization problems in designing deep neural networks to encode constraints that conventional layers cannot capture. However, these methods are still in their infancy…

Machine Learning · Computer Science 2020-06-16 Younghan Jeon , Minsik Lee , Jin Young Choi

A new gradient-based optimization approach by automatically scheduling the learning rate has been proposed recently, which is called Binary Forward Exploration (BFE). The Adaptive version of BFE has also been discussed thereafter. In this…

Machine Learning · Computer Science 2022-09-23 Xin Cao

Zero-shot reinforcement learning is necessary for extracting optimal policies in absence of concrete rewards for fast adaptation to future problem settings. Forward-backward representations (FB) have emerged as a promising method for…

Machine Learning · Computer Science 2025-07-09 Núria Armengol Urpí , Marin Vlastelica , Georg Martius , Stelian Coros

Federated learning enables collaborative model training across numerous edge devices without requiring participants to share data; however, memory and communication constraints on these edge devices may preclude their participation in…

Machine Learning · Computer Science 2025-09-04 Gwen Legate , Irina Rish , Eugene Belilovsky

Finetuning large language models (LLMs) in federated learning (FL) settings has become increasingly important as it allows resource-constrained devices to finetune a model using private data. However, finetuning LLMs using backpropagation…

Machine Learning · Computer Science 2024-10-23 Kunjal Panchal , Nisarg Parikh , Sunav Choudhary , Lijun Zhang , Yuriy Brun , Hui Guan

Backpropagation algorithm has been widely used as a mainstream learning procedure for neural networks in the past decade, and has played a significant role in the development of deep learning. However, there exist some limitations…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Gongpei Zhao , Tao Wang , Yidong Li , Yi Jin , Congyan Lang , Haibin Ling

A neural network model of a differential equation, namely neural ODE, has enabled the learning of continuous-time dynamical systems and probabilistic distributions with high accuracy. The neural ODE uses the same network repeatedly during a…

Machine Learning · Computer Science 2021-10-20 Takashi Matsubara , Yuto Miyatake , Takaharu Yaguchi

We propose a novel approach to reduce memory consumption of the backpropagation through time (BPTT) algorithm when training recurrent neural networks (RNNs). Our approach uses dynamic programming to balance a trade-off between caching of…

Neural and Evolutionary Computing · Computer Science 2016-06-13 Audrūnas Gruslys , Remi Munos , Ivo Danihelka , Marc Lanctot , Alex Graves

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…

Optimization and Control · Mathematics 2023-06-14 Alessio Maritan , Luca Schenato

Training large-scale neural networks in vision, and multimodal domains demands substantial memory resources, primarily due to the storage of optimizer states. While LoRA, a popular parameter-efficient method, reduces memory usage, it often…

Machine Learning · Computer Science 2025-03-13 Jinqi Xiao , Shen Sang , Tiancheng Zhi , Jing Liu , Qing Yan , Yuqian Zhang , Linjie Luo , Bo Yuan

Recognizing the substantial computational cost of backpropagation (BP), non-BP methods have emerged as attractive alternatives for efficient learning on emerging neuromorphic systems. However, existing non-BP approaches still face critical…

Machine Learning · Computer Science 2026-02-27 Guoqing Ma , Shan Yu

This paper presents a new functionality of the Automatic Differentiation (AD) tool Tapenade. Tapenade generates adjoint codes which are widely used for optimization or inverse problems. Unfortunately, for large applications the adjoint code…

Data Structures and Algorithms · Computer Science 2007-05-23 Laurent Hascoet , Mauricio Araya-Polo
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