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Pruning is a highly effective approach for compressing large language models (LLMs), significantly reducing inference latency. However, conventional training-free structured pruning methods often employ a heuristic metric that…

Computation and Language · Computer Science 2026-01-28 Songtao Liu , Peng Liu

Prefix caching is a key latency optimization for autoregressive LLM serving, yet existing systems assume dense per-token key/value reuse. State-space models change the structure of the problem: a recurrent layer can resume from a single…

Machine Learning · Computer Science 2026-05-08 Mikhail Shirokikh , Sergey Nikolenko

This paper is concerned with the problem of low rank plus sparse matrix decomposition for big data. Conventional algorithms for matrix decomposition use the entire data to extract the low-rank and sparse components, and are based on…

Numerical Analysis · Computer Science 2017-03-17 Mostafa Rahmani , George Atia

We present a sparse linear system solver that is based on a multifrontal variant of Gaussian elimination, and exploits low-rank approximation of the resulting dense frontal matrices. We use hierarchically semiseparable (HSS) matrices, which…

Mathematical Software · Computer Science 2015-02-27 Pieter Ghysels , Xiaoye S. Li , Francois-Henry Rouet , Samuel Williams , Artem Napov

Recovering intrinsic data structure from corrupted observations plays an important role in various tasks in the communities of machine learning and signal processing. In this paper, we propose a novel model, named log-sum heuristic recovery…

Numerical Analysis · Computer Science 2014-08-13 Yue Deng , Qionghai Dai , Risheng Liu , Zengke Zhang , Sanqing Hu

This paper investigates the under-explored area of low-rank weight training for large-scale Conformer-based speech recognition models from scratch. Our study demonstrates the viability of this training paradigm for such models, yielding…

Sound · Computer Science 2024-10-11 Adriana Fernandez-Lopez , Shiwei Liu , Lu Yin , Stavros Petridis , Maja Pantic

Model compression is significant for the wide adoption of Recurrent Neural Networks (RNNs) in both user devices possessing limited resources and business clusters requiring quick responses to large-scale service requests. This work aims to…

Machine Learning · Computer Science 2018-02-13 Wei Wen , Yuxiong He , Samyam Rajbhandari , Minjia Zhang , Wenhan Wang , Fang Liu , Bin Hu , Yiran Chen , Hai Li

We present a novel method for exact hierarchical sparse polynomial regression. Our regressor is that degree $r$ polynomial which depends on at most $k$ inputs, counting at most $\ell$ monomial terms, which minimizes the sum of the squares…

Optimization and Control · Mathematics 2017-09-29 Dimitris Bertsimas , Bart Van Parys

Adapting large pre-trained language models to downstream tasks often entails fine-tuning millions of parameters or deploying costly dense weight updates, which hinders their use in resource-constrained environments. Low-rank Adaptation…

Machine Learning · Computer Science 2026-01-29 Longteng Zhang , Sen Wu , Shuai Hou , Zhengyu Qing , Zhuo Zheng , Danning Ke , Qihong Lin , Qiang Wang , Shaohuai Shi , Xiaowen Chu

Transformer models have achieved remarkable results in various natural language tasks, but they are often prohibitively large, requiring massive memories and computational resources. To reduce the size and complexity of these models, we…

Machine Learning · Computer Science 2023-06-27 Yixiao Li , Yifan Yu , Qingru Zhang , Chen Liang , Pengcheng He , Weizhu Chen , Tuo Zhao

Large language model (LLM) based listwise reranking has emerged as the dominant paradigm for achieving state-of-the-art ranking effectiveness in information retrieval. However, its reliance on feeding full passage texts into the LLM…

Information Retrieval · Computer Science 2026-04-27 Xiaojie Ke , Shuai Zhang , Liansheng Sun , Yongjin Wang , Hengjun Jiang , Xiangkun Liu , Cunxin Gu , Jian Xu , Guanjun Jiang

Hierarchical Reasoning Model (HRM) is a novel approach using two small neural networks recursing at different frequencies. This biologically inspired method beats Large Language models (LLMs) on hard puzzle tasks such as Sudoku, Maze, and…

Machine Learning · Computer Science 2025-10-07 Alexia Jolicoeur-Martineau

We introduce DeltaLLM, a new post-training compression technique to reduce the memory footprint of LLMs. We propose an alternative way of structuring LLMs with weight sharing between layers in subsequent Transformer blocks, along with…

Machine Learning · Computer Science 2025-02-25 Liana Mikaelyan , Ayyoob Imani , Mathew Salvaris , Parth Pathak , Mohsen Fayyaz

High-level synthesis (HLS) enhances digital hardware design productivity through a high abstraction level. Even if the HLS abstraction prevents fine-grained manual register-transfer level (RTL) optimizations, it also enables automatable…

Hardware Architecture · Computer Science 2024-01-01 Giovanni Brignone , Mihai T. Lazarescu , Luciano Lavagno

The remarkable success of Large Language Models (LLMs) relies heavily on their substantial scale, which poses significant challenges during model deployment in terms of latency and memory consumption. Recently, numerous studies have…

Computation and Language · Computer Science 2024-12-19 Weiyu Huang , Yuezhou Hu , Guohao Jian , Jun Zhu , Jianfei Chen

We consider the problem of accurate sparse fine-tuning of large language models (LLMs), that is, fine-tuning pretrained LLMs on specialized tasks, while inducing sparsity in their weights. On the accuracy side, we observe that standard…

Computation and Language · Computer Science 2023-10-16 Eldar Kurtic , Denis Kuznedelev , Elias Frantar , Michael Goin , Dan Alistarh

Inference-time scaling trades efficiency for increased reasoning accuracy by generating longer or more parallel sequences. However, in Transformer LLMs, generation cost is bottlenecked by the size of the key-value (KV) cache, rather than…

Machine Learning · Computer Science 2025-11-10 Adrian Łańcucki , Konrad Staniszewski , Piotr Nawrot , Edoardo M. Ponti

Large Language Models (LLMs) face a significant bottleneck during autoregressive inference due to the massive memory footprint of the Key-Value (KV) cache. Existing compression techniques like token eviction, quantization, or other low-rank…

Machine Learning · Computer Science 2025-11-25 Santhosh G S , Saurav Prakash , Balaraman Ravindran

Sparse Matrix-Vector Multiplication (SpMV) is a fundamental operation in the inference of sparse Large Language Models (LLMs). Because existing SpMV methods perform poorly under the low and unstructured sparsity (30-90%) commonly observed…

Machine Learning · Computer Science 2025-11-18 Vladimír Macko , Vladimír Boža

The components underpinning PLMs -- large weight matrices -- were shown to bear considerable redundancy. Matrix factorization, a well-established technique from matrix theory, has been utilized to reduce the number of parameters in PLM.…

Computation and Language · Computer Science 2023-06-27 Siyu Ren , Kenny Q. Zhu