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Linear programming (LP) relaxations are widely employed in exact solution methods for multilinear programs (MLP). One example is the family of Recursive McCormick Linearization (RML) strategies, where bilinear products are substituted for…

Optimization and Control · Mathematics 2022-07-20 Arvind U Raghunathan , Carlos Cardonha , David Bergman , Carlos J Nohra

The combination of Large Language Models (LLMs), systematic evaluation, and evolutionary algorithms has enabled breakthroughs in combinatorial optimization and scientific discovery. We propose to extend this powerful combination to the…

Artificial Intelligence · Computer Science 2026-03-12 Carlo Bosio , Mark W. Mueller

Large language models (LLMs) are increasingly explored for their reasoning capabilities, yet their ability to perform structured, constraint-based optimization from natural language remains insufficiently understood. This study evaluates…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Aasish Kumar Sharma , Julian Kunkel

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

This study explores the explainability capabilities of large language models (LLMs), when employed to autonomously generate machine learning (ML) solutions. We examine two classification tasks: (i) a binary classification problem focused on…

While model serving has unlocked unprecedented capabilities, the high cost of serving large-scale models continues to be a significant barrier to widespread accessibility and rapid innovation. Compiler optimizations have long driven…

Machine Learning · Computer Science 2026-02-05 Annabelle Sujun Tang , Christopher Priebe , Rohan Mahapatra , Lianhui Qin , Hadi Esmaeilzadeh

Mixed-Integer Linear Programming (MILP) is a cornerstone of combinatorial optimization, yet solving large-scale instances remains a significant computational challenge. Recently, Graph Neural Networks (GNNs) have shown promise in…

Machine Learning · Computer Science 2025-11-13 Tianle Pu , Jianing Li , Yingying Gao , Shixuan Liu , Zijie Geng , Haoyang Liu , Chao Chen , Changjun Fan

Integer linear programming (ILP) is an elegant approach to solve linear optimization problems, naturally described using integer decision variables. Within the context of physics-inspired machine learning applied to chemistry, we…

The rise of large language models (LLMs) has made natural language-driven route planning an emerging research area that encompasses rich user objectives. Current research exhibits two distinct approaches: direct route planning using…

Artificial Intelligence · Computer Science 2025-09-17 Liangqi Yuan , Dong-Jun Han , Christopher G. Brinton , Sabine Brunswicker

Modern enterprise computing systems integrate numerous subsystems to resolve a common task by yielding emergent behavior. A widespread approach is using services implemented with Web technologies like REST or OpenAPI, which offer an…

Software Engineering · Computer Science 2025-07-29 Robin D. Pesl

Recommender systems have traditionally followed modular architectures comprising candidate generation, multi-stage ranking, and re-ranking, each trained separately with supervised objectives and hand-engineered features. While effective in…

Information Retrieval · Computer Science 2025-10-06 Rahul Raja , Anshaj Vats , Arpita Vats , Anirban Majumder

Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

Machine Learning · Computer Science 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

Large Language Models (LLMs) can perform various natural language processing tasks with suitable instruction prompts. However, designing effective prompts manually is challenging and time-consuming. Existing methods for automatic prompt…

Computation and Language · Computer Science 2024-04-04 Viet-Tung Do , Van-Khanh Hoang , Duy-Hung Nguyen , Shahab Sabahi , Jeff Yang , Hajime Hotta , Minh-Tien Nguyen , Hung Le

Optimization problems seek to find the best solution to an objective under a set of constraints, and have been widely investigated in real-world applications. Modeling and solving optimization problems in a specific domain typically require…

Optimization and Control · Mathematics 2024-07-12 Jihai Zhang , Wei Wang , Siyan Guo , Li Wang , Fangquan Lin , Cheng Yang , Wotao Yin

Increasingly volatile electricity prices make simultaneous scheduling optimization desirable for production processes and their energy systems. Simultaneous scheduling needs to account for both process dynamics and binary on/off-decisions…

Optimization and Control · Mathematics 2022-07-28 Florian Joseph Baader , André Bardow , Manuel Dahmen

Recent advancements in large language models (LLMs) underscore the need for stronger reasoning capabilities to solve complex problems effectively. While Chain-of-Thought (CoT) reasoning has been a step forward, it remains insufficient for…

Computation and Language · Computer Science 2025-07-14 Matan Vetzler , Koren Lazar , Guy Uziel , Eran Hirsch , Ateret Anaby-Tavor , Leshem Choshen

The rapid evolution of Large Language Models (LLMs) has markedly expanded their application across diverse domains, transforming how complex problems are approached and solved. Initially conceived to predict subsequent words in texts, these…

Artificial Intelligence · Computer Science 2024-07-11 Sumedh Rasal , E. J. Hauer

The program synthesis problem within the Inductive Logic Programming (ILP) community has typically been seen as untyped. We consider the benefits of user provided types on background knowledge. Building on the Meta-Interpretive Learning…

Artificial Intelligence · Computer Science 2021-02-26 Rolf Morel

Joint logical-numerical reasoning remains a major challenge for language models, yet existing datasets rely on fixed rule sets and offer limited control over task complexity, constraining their generalizability for evaluation and training.…

Computation and Language · Computer Science 2025-10-14 Yiwei Liu , Yucheng Li , Xiao Li , Gong Cheng

The growing need to integrate information from a large number of diverse sources poses significant scalability challenges for data integration systems. These systems often rely on manually written schema mappings, which are complex,…

Databases · Computer Science 2025-06-02 Christopher Buss , Mahdis Safari , Arash Termehchy , Stefan Lee , David Maier