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Large language models (LLMs) exhibit a wide range of capabilities, including mathematical reasoning, code generation, and linguistic behaviors. We show that many capabilities are highly localized to small subsets of attention heads within…

Computation and Language · Computer Science 2026-03-05 Anna Bair , Yixuan Even Xu , Mingjie Sun , J. Zico Kolter

Large Language Models (LLMs) such as ChatGPT and LlaMA are advancing rapidly in generative Artificial Intelligence (AI), but their immense size poses significant challenges, such as huge training and inference costs, substantial energy…

Large language models (LLMs) deliver impressive performance but incur prohibitive memory and compute costs at deployment. Model pruning is an effective way to reduce these overheads, yet existing approaches face challenges: unstructured…

Machine Learning · Computer Science 2026-04-30 Younes Hourri , Mohammad Mozaffari , Maryam Mehri Dehnavi

Large language models have achieved significant advancements in complex mathematical reasoning benchmarks, such as MATH. However, their substantial computational requirements present challenges for practical deployment. Model quantization…

Computation and Language · Computer Science 2025-02-25 Zhen Li , Yupeng Su , Runming Yang , Congkai Xie , Zheng Wang , Zhongwei Xie , Ngai Wong , Hongxia Yang

Semi-structured sparsity provides a practical path to accelerate large language models (LLMs) with native hardware support, but post-training semi-structured pruning often suffers from substantial quality degradation due to strong…

Machine Learning · Computer Science 2026-05-08 Liu Hanzuo , Chaofan Lin , Weixuan Sun , Yulong Wang , Key , Rayying , Mingyu Gao

Fine-tuning large language models (LLMs) requires significant memory, often exceeding the capacity of a single GPU. A common solution to this memory challenge is offloading compute and data from the GPU to the CPU. However, this approach is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-11 Siyuan Chen , Zhuofeng Wang , Zelong Guan , Yudong Liu , Phillip B. Gibbons

Large language model (LLM) training and finetuning are often bottlenecked by limited GPU memory. While existing projection-based optimization methods address this by projecting gradients into a lower-dimensional subspace to reduce optimizer…

Machine Learning · Computer Science 2024-06-26 Aashiq Muhamed , Oscar Li , David Woodruff , Mona Diab , Virginia Smith

Large pre-trained models (LPMs), such as large language models, have become ubiquitous and are employed in many applications. These models are often adapted to a desired domain or downstream task through a fine-tuning stage. This paper…

Machine Learning · Computer Science 2024-10-08 Juan Pablo Muñoz , Jinjie Yuan , Nilesh Jain

Large language models (LLMs) excel at natural language tasks but face deployment challenges due to their growing size outpacing GPU memory advancements. Model quantization mitigates this issue by lowering weight and activation precision,…

Computation and Language · Computer Science 2025-12-17 Shizhuo Mao , Song Chen , Yi Kang

Post-training quantization (PTQ) is a promising approach to reducing the storage and computational requirements of large language models (LLMs) without additional training cost. Recent PTQ studies have primarily focused on quantizing only…

Machine Learning · Computer Science 2026-02-17 Reena Elangovan , Charbel Sakr , Anand Raghunathan , Brucek Khailany

We develop a scalable algorithmic framework for sparse convex quantile regression (SCQR), addressing key computational challenges in the literature. Enhancing the classical CQR model, we introduce L2-norm regularization and an…

Optimization and Control · Mathematics 2025-09-03 Xiaoyu Luo , Chuanhou Gao

The Segment Anything Model (SAM) achieves strong open-vocabulary segmentation, but its ViT-based image encoders dominate inference latency and memory. Existing activation compression methods, such as token merging, reduce the token length…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Hoai-Chau Tran , Chi H. Nguyen , Duy M. H. Nguyen , Mathias Niepert , Fan Lai , Khoa D. Doan

We introduce a quantization-aware training algorithm that guarantees avoiding numerical overflow when reducing the precision of accumulators during inference. We leverage weight normalization as a means of constraining parameters during…

Machine Learning · Computer Science 2023-02-01 Ian Colbert , Alessandro Pappalardo , Jakoba Petri-Koenig

Quantization is a technique used in deep neural networks (DNNs) to increase execution performance and hardware efficiency. Uniform post-training quantization (PTQ) methods are common, since they can be implemented efficiently in hardware…

Machine Learning · Computer Science 2021-10-29 Gil Shomron , Freddy Gabbay , Samer Kurzum , Uri Weiser

The advent of pre-trained large language models (LLMs) has revolutionized various natural language processing tasks. These models predominantly employ an auto-regressive decoding mechanism that utilizes Key-Value (KV) caches to eliminate…

Computation and Language · Computer Science 2024-06-12 Hao Yu , Zelan Yang , Shen Li , Yong Li , Jianxin Wu

Sparse group LASSO (SGL) is a penalization technique used in regression problems where the covariates have a natural grouped structure and provides solutions that are both between and within group sparse. In this paper the SGL is introduced…

Methodology · Statistics 2019-11-05 Álvaro Méndez Civieta , M. Carmen Aguilera-Morillo , Rosa E. Lillo

Improving the efficiency of inference in Large Language Models (LLMs) is a critical area of research. Post-training Quantization (PTQ) is a popular technique, but it often faces challenges at low-bit levels, particularly in downstream…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Wenjin Ke , Zhe Li , Dong Li , Lu Tian , Emad Barsoum

Model compression is essential for serving large deep neural nets on devices with limited resources or applications that require real-time responses. As a case study, a state-of-the-art neural language model usually consists of one or more…

Computation and Language · Computer Science 2018-06-20 Patrick H. Chen , Si Si , Yang Li , Ciprian Chelba , Cho-jui Hsieh

Pre-trained language models (PLMs) are engineered to be robust in contextual understanding and exhibit outstanding performance in various natural language processing tasks. However, their considerable size incurs significant computational…

Computation and Language · Computer Science 2024-08-21 Guanchen Li , Xiandong Zhao , Lian Liu , Zeping Li , Dong Li , Lu Tian , Jie He , Ashish Sirasao , Emad Barsoum

Several methods have been recently proposed for estimating sparse Gaussian graphical models using $\ell_{1}$ regularization on the inverse covariance matrix. Despite recent advances, contemporary applications require methods that are even…

Computation · Statistics 2014-05-15 Onkar Dalal , Bala Rajaratnam