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We present qrpca, a fast and scalable QR-decomposition principal component analysis package. The software, written in both R and python languages, makes use of torch for internal matrix computations, and enables GPU acceleration, when…

Instrumentation and Methods for Astrophysics · Physics 2022-09-07 Rafael S. de Souza , Xu Quanfeng , Shiyin Shen , Chen Peng , Zihao Mu

Leveraging query variants (QVs), i.e., queries with potentially similar information needs to the target query, has been shown to improve the effectiveness of query performance prediction (QPP) approaches. Existing QV-based QPP methods…

Information Retrieval · Computer Science 2025-10-06 Fangzheng Tian , Debasis Ganguly , Craig Macdonald

Fine-tuning large language models (LLMs) is computationally expensive, and Low-Rank Adaptation (LoRA) provides a cost-effective solution by approximating weight updates through low-rank matrices. In real-world scenarios, LLMs are fine-tuned…

Machine Learning · Computer Science 2025-06-03 Jinda Liu , Yi Chang , Yuan Wu

Developing efficient GPU kernels is essential for scaling modern AI systems, yet it remains a complex task due to intricate hardware architectures and the need for specialized optimization expertise. Although Large Language Models (LLMs)…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-12 Ali Tehrani , Yahya Emara , Essam Wissam , Wojciech Paluch , Waleed Atallah , Łukasz Dudziak , Mohamed S. Abdelfattah

In this preliminary study, we investigate a GPT-driven intent-based reasoning approach to streamline tool selection for large language models (LLMs) aimed at system efficiency. By identifying the intent behind user prompts at runtime, we…

Machine Learning · Computer Science 2024-04-25 Michael Fore , Simranjit Singh , Dimitrios Stamoulis

We present QUOKA: Query-oriented KV selection for efficient attention, a training-free and hardware agnostic sparse attention algorithm for accelerating transformer inference under chunked prefill. While many queries focus on a smaller…

Machine Learning · Computer Science 2026-02-10 Dalton Jones , Junyoung Park , Matthew Morse , Mingu Lee , Chris Lott , Harper Langston

Multimodal large language models (MLLMs) have shown remarkable capabilities in a wide range of vision-language tasks. However, the large number of visual tokens introduces significant computational overhead. To address this issue, visual…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Yuxiang Duan , Ao Li , Yingqin Li , Luyu Li , Pengwei Wang

We introduce an algorithmic framework for performing QR factorization with column pivoting (QRCP) on general matrices. The framework enables the design of practical QRCP algorithms through user-controlled choices for the core subroutines.…

Mathematical Software · Computer Science 2025-07-02 Maksim Melnichenko , Riley Murray , William Killian , James Demmel , Michael W. Mahoney , Piotr Luszczek , Mark Gates

Multi-Pivot Quicksort refers to variants of classical quicksort where in the partitioning step $k$ pivots are used to split the input into $k + 1$ segments. For many years, multi-pivot quicksort was regarded as impractical, but in 2009 a…

Data Structures and Algorithms · Computer Science 2016-06-01 Martin Aumüller , Martin Dietzfelbinger , Pascal Klaue

Query optimization is a critical task in database systems, focused on determining the most efficient way to execute a query from an enormous set of possible strategies. Traditional approaches rely on heuristic search methods and cost…

Databases · Computer Science 2025-03-11 Zhiming Yao , Haoyang Li , Jing Zhang , Cuiping Li , Hong Chen

In long-context decoding for LLMs and LMMs, attention becomes increasingly memory-bound because each decoding step must load a large amount of KV-cache data from GPU memory. Existing acceleration strategies often trade efficiency for…

Machine Learning · Computer Science 2026-04-21 Junnan Liu , Xinyan Liu , Peifeng Gao , Zhaobo Qi , Beichen Zhang , Weigang Zhang , Antoni Bert Chen

Quadratic programmingis a class of constrained optimization problem with quadratic objective functions and linear constraints. It has applications in many areas and is also used to solve nonlinear optimization problems. This article focuses…

Numerical Analysis · Computer Science 2016-02-01 Duangpen Jetpipattanapong , Gun Srijuntongsiri

Tool learning aims to extend the capabilities of large language models (LLMs) with external tools. A major challenge in tool learning is how to support a large number of tools, including unseen tools. To address this challenge, previous…

Information Retrieval · Computer Science 2024-06-12 Yuanhang Zheng , Peng Li , Wei Liu , Yang Liu , Jian Luan , Bin Wang

As the length of input text increases, the key-value (KV) cache in LLMs imposes prohibitive GPU memory costs and limits long-context inference on resource constrained devices. Existing approaches, such as KV quantization and pruning, reduce…

Machine Learning · Computer Science 2025-12-24 Tenghui Li , Guoxu Zhou , Xuyang Zhao , Yuning Qiu , Qibin Zhao

We call matrix algorithms superfast if they use much fewer flops and memory cells than the input matrix has entries. Using such algorithms is indispensable for Big Data Mining and Analysis, where the input matrices are so immense that one…

Numerical Analysis · Mathematics 2025-01-17 Victor Y. Pan , John Svadlenka

This paper develops and analyzes a new algorithm for QR decomposition with column pivoting (QRCP) of rectangular matrices with many more rows than columns. The algorithm carefully combines methods from randomized numerical linear algebra to…

Numerical Analysis · Mathematics 2025-03-18 Maksim Melnichenko , Oleg Balabanov , Riley Murray , James Demmel , Michael W. Mahoney , Piotr Luszczek

In Vision-Language Models (VLMs), processing a massive number of visual tokens incurs prohibitive computational overhead. While recent training-aware pruning methods attempt to selectively discard redundant tokens, they largely rely on…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Mingzhe Huang , Weijun Wang , Xin Ding , Liang Mi , Hao Wen , Yuanchun Li , Lichen Pang , Shansong Yang , Yunxin Liu , Ting Cao

Large Language Models (LLMs) have emerged as a pivotal research area, yet the attention module remains a critical bottleneck in LLM inference, even with techniques like KVCache to mitigate redundant computations. While various top-$k$…

In response to the rising interest in large multimodal models, we introduce Cross-Attention Token Pruning (CATP), a precision-focused token pruning method. Our approach leverages cross-attention layers in multimodal models, exemplified by…

Computation and Language · Computer Science 2026-02-16 Ruqi Liao , Chuqing Zhao , Jin Li , Weiqi Feng , Yi Lyu , Bingxian Chen , Haochen Yang

Self-hosting large language models (LLMs) is increasingly appealing for organizations seeking privacy, cost control, and customization. Yet deploying and maintaining in-house models poses challenges in GPU utilization, workload routing, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-30 Bhanu Prakash Vangala , Tanu Malik