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We present a novel matrix-parametrized frugal splitting algorithm which finds the zero of a sum of maximal monotone and cocoercive operators composed with linear selection operators. We also develop a semidefinite programming framework for…

Optimization and Control · Mathematics 2025-07-29 Peter Barkley , Robert L. Bassett

Large Language Models (LLMs) demonstrate human-level capabilities in dialogue, reasoning, and knowledge retention. However, even the most advanced LLMs face challenges such as hallucinations and real-time updating of their knowledge.…

Computation and Language · Computer Science 2024-09-10 Xuanwang Zhang , Yunze Song , Yidong Wang , Shuyun Tang , Xinfeng Li , Zhengran Zeng , Zhen Wu , Wei Ye , Wenyuan Xu , Yue Zhang , Xinyu Dai , Shikun Zhang , Qingsong Wen

Retrieval-Augmented Generation (RAG) has become a standard architectural pattern for incorporating domain-specific knowledge into user-facing chat applications powered by Large Language Models (LLMs). RAG systems are characterized by (1) a…

Computation and Language · Computer Science 2025-01-17 Robert Friel , Masha Belyi , Atindriyo Sanyal

Autonomous Graphical User Interface (GUI) agents powered by Multimodal Large Language Models (MLLMs) enable digital automation on end-user devices. While scaling both parameters and data has yielded substantial gains, advanced methods still…

Artificial Intelligence · Computer Science 2026-04-16 Ziwei Wang , Junjie Zheng , Leyang Yang , Sheng Zhou , Xiaoxuan Tang , Zhouhua Fang , Zhiwei Liu , Dajun Chen , Yong Li , Jiajun Bu

LAPACK and ScaLAPACK are arguably the defacto standard libraries among the scientific community for solving linear algebra problems on sequential, shared-memory and distributed-memory architectures. While ease of use was a major design goal…

Computational Physics · Physics 2007-10-26 Timothy Stitt , Graham Kells , Jiri Vala

Linear algebraic expressions are the essence of many computationally intensive problems, including scientific simulations and machine learning applications. However, translating high-level formulations of these expressions to efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-22 Dániel Berényi , András Leitereg , Gábor Lehel

The ability of Large Language Models (LLMs) to solve complex tasks has made them crucial in the development of AI-based applications. However, the high computational requirements to fine-tune these LLMs on downstream tasks pose significant…

Computation and Language · Computer Science 2025-09-08 Raul Singh , Nicolo Brunello , Vincenzo Scotti , Mark James Carman

This report showcases the role of, and future directions for, the field of Randomized Numerical Linear Algebra (RNLA) in a selection of scientific applications. These applications span the domains of imaging, genomics and dynamical systems,…

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

Machine Learning · Computer Science 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

Optimizing the advertiser's cumulative value of winning impressions under budget constraints poses a complex challenge in online advertising, under the paradigm of AI-Generated Bidding (AIGB). Advertisers often have personalized objectives…

Artificial Intelligence · Computer Science 2026-01-22 Mingxuan Song , Yusen Huo , Bohan Zhou , Shenglin Yin , Zhen Xiao , Jieyi Long , Zhilin Zhang , Chuan Yu

As data volumes grow across applications, analytics of large amounts of data is becoming increasingly important. Big data processing frameworks such as Apache Hadoop, Apache AsterixDB, and Apache Spark have been built to meet this demand. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-15 Avinash Kumar

Large Language Models (LLMs) in agentic workflows combine multi-step reasoning, heterogeneous tool use, and collaboration across multiple specialized agents. Existing LLM serving engines optimize individual calls in isolation, while…

Databases · Computer Science 2026-01-21 Junyi Shen , Noppanat Wadlom , Yao Lu

Single-step retrieval-augmented generation (RAG) provides an efficient way to incorporate external information for simple question answering tasks but struggles with complex questions. Agentic RAG extends this paradigm by replacing…

Computation and Language · Computer Science 2026-05-08 Yijia Zheng , Marcel Worring

LoRA has emerged as one of the most promising fine-tuning techniques, especially for federated learning (FL), since it significantly reduces communication and computation costs at resource-constrained clients. However, data heterogeneity…

The integration of large language models (LLMs) with external tools has significantly expanded the capabilities of AI agents. However, as the diversity of both LLMs and tools increases, selecting the optimal model-tool combination becomes a…

Computation and Language · Computer Science 2026-01-08 Jinyang Wu , Guocheng Zhai , Ruihan Jin , Jiahao Yuan , Yuhao Shen , Shuai Zhang , Zhengqi Wen , Jianhua Tao

Task arithmetic is a straightforward yet highly effective strategy for model merging, enabling the resultant model to exhibit multi-task capabilities. Recent research indicates that models demonstrating linearity enhance the performance of…

Machine Learning · Computer Science 2025-04-16 Rui Dai , Sile Hu , Xu Shen , Yonggang Zhang , Xinmei Tian , Jieping Ye

Retrieval-augmented Generation (RAG) extends large language models (LLMs) with external knowledge but faces key challenges: restricted effective context length and redundancy in retrieved documents. Pure compression-based approaches reduce…

Computation and Language · Computer Science 2025-07-09 Yiqiao Jin , Kartik Sharma , Vineeth Rakesh , Yingtong Dou , Menghai Pan , Mahashweta Das , Srijan Kumar

Retrieval-Augmented Generation (RAG) has established itself as the standard paradigm for grounding Large Language Models (LLMs) in domain-specific, up-to-date data. However, the prevailing architecture for RAG has evolved into a complex,…

Information Retrieval · Computer Science 2026-02-27 Ahmed Bin Khalid

In this paper, we address the challenges associated with merging low-rank adaptations of large neural networks. With the rise of parameter-efficient adaptation techniques, such as Low-Rank Adaptation (LoRA), model fine-tuning has become…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Aniello Panariello , Daniel Marczak , Simone Magistri , Angelo Porrello , Bartłomiej Twardowski , Andrew D. Bagdanov , Simone Calderara , Joost van de Weijer

We extend Random Access, a fundamental operation that enables efficient search and exploration algorithms, to the modern interactive data systems based on Ranked Retrieval and Similarity Search, where orderings are dynamically defined over…

Data Structures and Algorithms · Computer Science 2026-05-26 Mohsen Dehghankar , Abolfazl Asudeh , Raghav Mittal , Suraj Shetiya , Gautam Das