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Generative Pre-trained Transformer models, known as GPT or OPT, set themselves apart through breakthrough performance across complex language modelling tasks, but also by their extremely high computational and storage costs. Specifically,…

Machine Learning · Computer Science 2023-03-23 Elias Frantar , Saleh Ashkboos , Torsten Hoefler , Dan Alistarh

Training large language models (LLMs) poses challenges due to their massive scale and heterogeneous architectures. While adaptive optimizers like AdamW help address gradient variations, they still struggle with efficient and effective…

Machine Learning · Computer Science 2025-06-03 Siyuan Li , Juanxi Tian , Zedong Wang , Xin Jin , Zicheng Liu , Wentao Zhang , Dan Xu

Large Language Models (LLMs) face deployment challenges due to high computational costs, and while Post-Training Quantization (PTQ) offers a solution, existing rotation-based methods struggle at very low bit-widths like 2-bit. We introduce…

Machine Learning · Computer Science 2025-08-15 Euntae Choi , Sumin Song , Woosang Lim , Sungjoo Yoo

Finetuning can be used to tackle domain-specific tasks by transferring knowledge. Previous studies on finetuning focused on adapting only the weights of a task-specific classifier or re-optimizing all layers of the pre-trained model using…

Machine Learning · Computer Science 2023-01-18 Basel Barakat , Qiang Huang

Quantizing large language models has become a standard way to reduce their memory and computational costs. Typically, existing methods focus on breaking down the problem into individual layer-wise sub-problems, and minimizing per-layer…

Machine Learning · Computer Science 2024-11-27 Vladimir Malinovskii , Andrei Panferov , Ivan Ilin , Han Guo , Peter Richtárik , Dan Alistarh

Gradient reconstruction is a key process for the spatial accuracy and robustness of finite volume method, especially in industrial aerodynamic applications in which grid quality affects reconstruction methods significantly. A novel gradient…

Fluid Dynamics · Physics 2017-02-16 Fan Zhang

Model compression has emerged as a mainstream solution to reduce memory usage and computational overhead. This paper presents Group Quantization and Sparse Acceleration (GQSA), a novel compression technique tailored for LLMs. Traditional…

Machine Learning · Computer Science 2025-07-29 Chao Zeng , Songwei Liu , Shu Yang , Fangmin Chen , Lean Fu , Xing Mei

We study two-stage stochastic optimization models with mixed-integer decision variables appearing in both stages. For these models, dual decomposition enables parallel computing implementation and can quickly provide a lower bound for the…

Optimization and Control · Mathematics 2026-05-15 Pengyu Zhang , Ruiwei Jiang

Post-training quantization of Large Language Models (LLMs) is challenging. In this work, we introduce Low-rank Quantization Error Reduction (LQER), which combines quantization and low-rank approximation to recover the model capability. LQER…

Machine Learning · Computer Science 2024-05-31 Cheng Zhang , Jianyi Cheng , George A. Constantinides , Yiren Zhao

For regulatory and interpretability reasons, logistic regression is still widely used. To improve prediction accuracy and interpretability, a preprocessing step quantizing both continuous and categorical data is usually performed:…

Methodology · Statistics 2019-03-22 Adrien Ehrhardt , Christophe Biernacki , Vincent Vandewalle , Philippe Heinrich

Parameter quantization for Large Language Models (LLMs) has attracted increasing attentions recently in reducing memory costs and improving computational efficiency. Early approaches have been widely adopted. However, the existing methods…

Machine Learning · Computer Science 2024-06-04 Haoyu Wang , Bei Liu , Hang Shao , Bo Xiao , Ke Zeng , Guanglu Wan , Yanmin Qian

In this paper, we address post-training quantization (PTQ) for large language models (LLMs) from an overlooked perspective: given a pre-trained high-precision LLM, the predominant sequential quantization framework treats different layers…

Artificial Intelligence · Computer Science 2026-03-27 Shigeng Wang , Chao Li , Yangyuxuan Kang , Jiawei Fan , Zhonghong Ou , Anbang Yao

Federated fine-tuning provides a practical route to adapt large language models (LLMs) on edge devices without centralizing private data, yet in mobile deployments the training wall-clock is often bottlenecked by straggler-limited uplink…

Machine Learning · Computer Science 2026-04-29 Changyu Li , Shuanghong Huang , Jiashen Liu , Ming Lei , Jidu Xing , Kaishun Wu , Lu Wang , Fei Luo

When transformer-based language models are deployed for text generation, most of the inference time is spent in the decoding stage, where output tokens are generated sequentially. Reducing the hardware cost of each decoding step is…

Machine Learning · Computer Science 2026-05-22 Sayed Mohammadreza Tayaranian Hosseini , Amir Ardakani , Warren J. Gross

Latent class models are widely used for identifying unobserved subgroups from multivariate categorical data in social sciences, with binary data as a particularly popular example. However, accurately recovering individual latent class…

Methodology · Statistics 2026-02-25 Zhongyuan Lyu , Yuqi Gu

In this paper, we propose an efficient two-stage decoding algorithm for non-adaptive Group Testing (GT) with general correlated prior statistics. The proposed solution can be applied to any correlated statistical prior represented in…

Information Theory · Computer Science 2026-03-03 Ayelet C. Portnoy , Amit Solomon , Alejandro Cohen

Low-bit post-training quantization (PTQ) is a practical route to deploy reasoning-capable LLMs under tight memory and latency budgets, yet it can markedly impair mathematical reasoning (drops up to 69.81% in our harder settings). We address…

Machine Learning · Computer Science 2026-01-21 Zhen Li , Yupeng Su , Songmiao Wang , Runming Yang , Congkai Xie , Aofan Liu , Ming Li , Jiannong Cao , Yuan Xie , Ngai Wong , Hongxia Yang

Topological quantum error-correcting codes are defined by geometrically local checks on a two-dimensional lattice of quantum bits (qubits), making them particularly well suited for fault-tolerant quantum information processing. Here, we…

Quantum Physics · Physics 2012-02-16 Guillaume Duclos-Cianci , David Poulin

Recent breakthroughs in Large-scale language models (LLMs) have demonstrated impressive performance on various tasks. The immense sizes of LLMs have led to very high resource demand and cost for running the models. Though the models are…

Machine Learning · Computer Science 2024-03-05 Juntao Zhao , Borui Wan , Yanghua Peng , Haibin Lin , Chuan Wu

In the field of deep learning, traditional attention mechanisms face significant challenges related to high computational complexity and large memory consumption when processing long sequence data. To address these limitations, we propose…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-11 Jie Kong , Junxiang Zhang , Jiheng Xu , Yalong Li , Shouhua Zhang , Jiehan Zhou , Yuhai Liu , Peng Liang , Quan Zhang , Luohan Jiang