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Modern optimizers like Adam and Muon are central to training large language models, but their reliance on first- and second-order momenta introduces significant memory overhead, which constrains scalability and computational efficiency. In…

Machine Learning · Computer Science 2026-03-02 Zhengbo Wang , Jian Liang , Ran He , Zilei Wang , Tieniu Tan

Quantization has significantly improved the compute and memory efficiency of Large Language Model (LLM) training. However, existing approaches still rely on accumulating their updates in high-precision: concretely, gradient updates must be…

Computation and Language · Computer Science 2026-01-30 Mahdi Nikdan , Amir Zandieh , Dan Alistarh , Vahab Mirrokni

Quantum state preparation involves preparing a target state from an initial system, a process integral to applications such as quantum machine learning and solving systems of linear equations. Recently, there has been a growing interest in…

Quantum Physics · Physics 2024-05-08 Shuwen Kan , Miguel Palma , Zefan Du , Samuel A Stein , Chenxu Liu , Juntao Chen , Ang Li , Ying Mao

Optimizers play an important role in both pretraining and finetuning stages when training large language models (LLMs). In this paper, we present an observation that full finetuning with the same optimizer as in pretraining achieves a…

Machine Learning · Computer Science 2026-05-08 Yuxing Liu , Jianyu Wang , Tong Zhang

The rapid scaling of models has led to prohibitively high training and fine-tuning costs. A major factor accounting for memory consumption is the widespread use of stateful optimizers (e.g., Adam), which maintain auxiliary information of…

Machine Learning · Computer Science 2025-06-10 Cong Xu , Wenbin Liang , Mo Yu , Anan Liu , Ke-Yue Zhang , Shunli Wang , Lizhuang Ma , Jianyong Wang , Jun Wang , Wei Zhang

Optimizer states are a major source of memory consumption for training neural networks, limiting the maximum trainable model within given memory budget. Compressing the optimizer states from 32-bit floating points to lower bitwidth is…

Machine Learning · Computer Science 2023-10-30 Bingrui Li , Jianfei Chen , Jun Zhu

Quantization is an effective way to reduce the memory cost of large-scale model training. However, most existing methods adopt fixed-precision policies, which ignore the fact that optimizer-state distributions vary significantly across…

Machine Learning · Computer Science 2026-04-10 Minglu Liu , Cunchen Hu , Liangliang Xu , Fengming Tang , Ruijia Wang , Fu Yu

Reasoning models excel at complex tasks such as coding and mathematics, yet their inference is often slow and token-inefficient. To improve the inference efficiency, post-training quantization (PTQ) usually comes with the cost of large…

Machine Learning · Computer Science 2026-01-22 Keyu Lv , Manyi Zhang , Xiaobo Xia , Jingchen Ni , Shannan Yan , Xianzhi Yu , Lu Hou , Chun Yuan , Haoli Bai

Momentum based optimizers are central to a wide range of machine learning applications. These typically rely on an Exponential Moving Average (EMA) of gradients, which decays exponentially the present contribution of older gradients. This…

Machine Learning · Computer Science 2024-10-01 Matteo Pagliardini , Pierre Ablin , David Grangier

Supervised fine-tuning is a standard method for adapting pre-trained large language models (LLMs) to downstream tasks. Quantization has been recently studied as a post-training technique for efficient LLM deployment. To obtain quantized…

Machine Learning · Computer Science 2025-06-09 Quan Wei , Chung-Yiu Yau , Hoi-To Wai , Yang Katie Zhao , Dongyeop Kang , Youngsuk Park , Mingyi Hong

The state transition algorithm (STA), as an intelligent optimization method grounded in constructivist learning, has been demonstrated to be highly effective in solving complex optimization problems. However, the standard STA suffers from…

Optimization and Control · Mathematics 2026-04-30 Xiaojun Zhou , Chunhua Yang , Weihua Gui , Tingwen Huang

Large language models (LLMs) require immense resources for training and inference. Quantization, a technique that reduces the precision of model parameters, offers a promising solution for improving LLM efficiency and sustainability. While…

Machine Learning · Computer Science 2025-02-18 Jacob Nielsen , Peter Schneider-Kamp , Lukas Galke

Stochasticity in language model fine-tuning, often caused by the small batch sizes typically used in this regime, can destabilize training by introducing large oscillations in generation quality. A popular approach to mitigating this…

Machine Learning · Computer Science 2025-08-04 Adam Block , Cyril Zhang

In the quest for next-generation sequence modeling architectures, State Space Models (SSMs) have emerged as a potent alternative to transformers, particularly for their computational efficiency and suitability for dynamical systems. This…

Machine Learning · Computer Science 2024-06-17 Steven Abreu , Jens E. Pedersen , Kade M. Heckel , Alessandro Pierro

In this theoretical investigation, we study the effectiveness of a protocol that incorporates periodic quantum resetting to prepare ground states of frustration-free parent Hamiltonians. This protocol uses a steering Hamiltonian that…

Quantum Physics · Physics 2024-03-27 Daniel Alcalde Puente , Felix Motzoi , Tommaso Calarco , Giovanna Morigi , Matteo Rizzi

Large language models (LLMs) are omnipresent, however their practical deployment is challenging due to their ever increasing computational and memory demands. Quantization is one of the most effective ways to make them more compute and…

Machine Learning · Computer Science 2024-09-04 Yelysei Bondarenko , Riccardo Del Chiaro , Markus Nagel

State-space models (SSMs) have recently gained attention in deep learning for their ability to efficiently model long-range dependencies, making them promising candidates for edge-AI applications. In this paper, we analyze the effects of…

Machine Learning · Computer Science 2025-06-17 Leo Zhao , Tristan Torchet , Melika Payvand , Laura Kriener , Filippo Moro

Quantization is the key method for reducing inference latency, power and memory footprint of generative AI models. However, accuracy often degrades sharply when activations are quantized below eight bits. Recent work suggests that…

Machine Learning · Computer Science 2025-10-31 Marco Federici , Riccardo Del Chiaro , Boris van Breugel , Paul Whatmough , Markus Nagel

A growing number of applications in particle physics and beyond use neural networks as unbinned likelihood ratio estimators applied to real or simulated data. Precision requirements on the inference tasks demand a high-level of stability…

High Energy Physics - Phenomenology · Physics 2025-03-04 G. Bruno De Luca , Benjamin Nachman , Eva Silverstein , Henry Zheng

Transformers and large language models~(LLMs) have seen rapid adoption in all domains. Their sizes have exploded to hundreds of billions of parameters and keep increasing. Under these circumstances, the training of transformers is very…

Machine Learning · Computer Science 2026-04-14 Avinash Maurya , Jie Ye , M. Mustafa Rafique , Franck Cappello , Bogdan Nicolae
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