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In this paper, we present a generalized version of the matrix chain algorithm to generate efficient code for linear algebra problems, a task for which human experts often invest days or even weeks of works. The standard matrix chain problem…

Mathematical Software · Computer Science 2018-04-12 Henrik Barthels , Marcin Copik , Paolo Bientinesi

Synthetic data generation is integral to ML pipelines, e.g., to augment training data, replace sensitive information, and even to power advanced platforms like DeepSeek. While LLMs fine-tuned for synthetic data generation are gaining…

Machine Learning · Computer Science 2025-03-17 Shengzhe Xu , Cho-Ting Lee , Mandar Sharma , Raquib Bin Yousuf , Nikhil Muralidhar , Naren Ramakrishnan

Generating labeled training datasets has become a major bottleneck in Machine Learning (ML) pipelines. Active ML aims to address this issue by designing learning algorithms that automatically and adaptively select the most informative…

Machine Learning · Computer Science 2020-04-29 Mina Karzand , Robert D. Nowak

We propose a general framework for first-order functional logic programming, supporting lazy functions, non-determinism and polymorphic datatypes whose data constructors obey a set C of equational axioms. On top of a given C, we specify a…

Programming Languages · Computer Science 2007-05-23 Puri Arenas-Sanchez , Mario Rodriguez-Artalejo

Linear programming (LP) is an extremely useful tool and has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2020-03-19 Agniva Chowdhury , Palma London , Haim Avron , Petros Drineas

We introduce TableLLM, a robust large language model (LLM) with 8 billion parameters, purpose-built for proficiently handling tabular data manipulation tasks, whether they are embedded within documents or spreadsheets, catering to…

Computation and Language · Computer Science 2025-02-18 Xiaokang Zhang , Sijia Luo , Bohan Zhang , Zeyao Ma , Jing Zhang , Yang Li , Guanlin Li , Zijun Yao , Kangli Xu , Jinchang Zhou , Daniel Zhang-Li , Jifan Yu , Shu Zhao , Juanzi Li , Jie Tang

Benefiting from high-quality datasets and standardized evaluation metrics, machine learning (ML) has achieved sustained progress and widespread applications. However, while applying machine learning to relational databases (RDBs), the…

Machine Learning · Computer Science 2023-10-31 Zizhao Zhang , Yi Yang , Lutong Zou , He Wen , Tao Feng , Jiaxuan You

We introduce an algebraic analogue of dynamical systems, based on term rewriting. We show that a recursive function applied to the output of an iterated rewriting system defines a formal class of models into which all the main architectures…

Category Theory · Mathematics 2023-11-07 Iolo Jones , Jerry Swan , Jeffrey Giansiracusa

Tabular data serves as the backbone of modern data analysis and scientific research. While Large Language Models (LLMs) fine-tuned via Supervised Fine-Tuning (SFT) have significantly improved natural language interaction with such…

Operating systems include many heuristic algorithms designed to improve overall storage performance and throughput. Because such heuristics cannot work well for all conditions and workloads, system designers resorted to exposing numerous…

Querying tables with unstructured data is challenging due to the presence of text (or image), either embedded in the table or in external paragraphs, which traditional SQL struggles to process, especially for tasks requiring semantic…

Artificial Intelligence · Computer Science 2025-09-25 Rohit Khoja , Devanshu Gupta , Yanjie Fu , Dan Roth , Vivek Gupta

Real-world AI/ML workflows often apply inference computations to feature vectors joined from multiple datasets. To avoid the redundant AI/ML computations caused by repeated data records in the join's output, factorized ML has been proposed…

Databases · Computer Science 2025-11-26 Kanchan Chowdhury , Lixi Zhou , Lulu Xie , Xinwei Fu , Jia Zou

Although they exist since more than ten years already, have attracted diverse implementations, and have been used successfully in a significant number of applications, declarative mapping languages for constructing knowledge graphs from…

Databases · Computer Science 2025-03-25 Sitt Min Oo , Olaf Hartig

This paper introduces a new data analysis method for big data using a newly defined regression model named multiple model linear regression(MMLR), which separates input datasets into subsets and construct local linear regression models of…

Machine Learning · Computer Science 2023-08-25 Bohan Lyu , Jianzhong Li

Machine Learning (ML) models are trained using historical data to classify new, unseen data. However, traditional computing resources often struggle to handle the immense amount of data, commonly known as Big Data, within a reasonable time…

Quantum Physics · Physics 2024-11-01 Minati Rath , Hema Date

Recent advances in graph learning have paved the way for innovative retrieval-augmented generation (RAG) systems that leverage the inherent relational structures in graph data. However, many existing approaches suffer from rigid, fixed…

Information Retrieval · Computer Science 2025-03-26 Yuan Li , Jun Hu , Jiaxin Jiang , Zemin Liu , Bryan Hooi , Bingsheng He

Many ML applications and products train on medium amounts of input data but get bottlenecked in real-time inference. When implementing ML systems, conventional wisdom favors segregating ML code into services queried by product code via…

Machine Learning · Computer Science 2023-07-25 Daniel S Johnson , Igor L Markov

We present a study on the integration of Large Language Models (LLMs) in tabular data classification, emphasizing an efficient framework. Building upon existing work done in TabLLM (arXiv:2210.10723), we introduce three novel serialization…

Machine Learning · Computer Science 2023-12-22 Sukriti Jaitly , Tanay Shah , Ashish Shugani , Razik Singh Grewal

Table reasoning, a task to answer questions by reasoning over data presented in tables, is an important topic due to the prevalence of knowledge stored in tabular formats. Recent solutions use Large Language Models (LLMs), exploiting the…

Artificial Intelligence · Computer Science 2026-01-14 Yuxiang Wang , Junhao Gan , Shengxiang Gao , Shenghao Ye , Zhengyi Yang , Jianzhong Qi