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The art of heuristic design has traditionally been a human pursuit. While Large Language Models (LLMs) can generate code for search heuristics, their application has largely been confined to adjusting simple functions within human-crafted…

Artificial Intelligence · Computer Science 2025-09-03 Guorui Quan , Mingfei Sun , Manuel López-Ibáñez

We study the problem of learning differentiable functions expressed as programs in a domain-specific language. Such programmatic models can offer benefits such as composability and interpretability; however, learning them requires…

Machine Learning · Computer Science 2021-03-30 Ameesh Shah , Eric Zhan , Jennifer J. Sun , Abhinav Verma , Yisong Yue , Swarat Chaudhuri

Reinforcement Learning (RL) offers promising solutions for control tasks in industrial cyber-physical systems (ICPSs), yet its real-world adoption remains limited. This paper demonstrates how seemingly small but well-designed modifications…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Georg Schäfer , Tatjana Krau , Jakob Rehrl , Stefan Huber , Simon Hirlaender

Recent advancements in Large Language Models (LLMs) have garnered wide attention and led to successful products such as ChatGPT and GPT-4. Their proficiency in adhering to instructions and delivering harmless, helpful, and honest (3H)…

Machine Learning · Computer Science 2023-10-11 Hao Sun

In inverse reinforcement learning (IRL), a learning agent infers a reward function encoding the underlying task using demonstrations from experts. However, many existing IRL techniques make the often unrealistic assumption that the agent…

Machine Learning · Computer Science 2023-01-04 Franck Djeumou , Christian Ellis , Murat Cubuktepe , Craig Lennon , Ufuk Topcu

Linear Recurrence Sequences (LRS) are a fundamental mathematical primitive for a plethora of applications such as the verification of probabilistic systems, model checking, computational biology, and economics. Positivity (are all terms of…

Logic in Computer Science · Computer Science 2023-07-14 Mihir Vahanwala

Combinatorial optimization problems are widely encountered in real-world applications. A critical research challenge lies in designing high-quality heuristic algorithms that efficiently approximate optimal solutions within a reasonable…

Neural and Evolutionary Computing · Computer Science 2026-03-17 Shaofeng Zhang , Shengcai Liu , Ning Lu , Jiahao Wu , Ji Liu , Yew-Soon Ong , Ke Tang

We propose a new exact approach for solving integer linear programming (ILP) problems which we will call projective splitting algorithms (PSAs). Unlike classical methods for solving ILP problems, PSAs conduct the search for the optimal…

Optimization and Control · Mathematics 2014-04-16 Federico Rodes , Isabel Mendez-Diaz , Paula Zabala

Probabilistic solvers provide a flexible and efficient framework for simulation, uncertainty quantification, and inference in dynamical systems. However, like standard solvers, they suffer performance penalties for certain stiff systems,…

Numerical Analysis · Mathematics 2023-12-20 Nathanael Bosch , Philipp Hennig , Filip Tronarp

We present PDLP, a practical first-order method for linear programming (LP) that can solve to the high levels of accuracy that are expected in traditional LP applications. In addition, it can scale to very large problems because its core…

Optimization and Control · Mathematics 2022-01-10 David Applegate , Mateo Díaz , Oliver Hinder , Haihao Lu , Miles Lubin , Brendan O'Donoghue , Warren Schudy

We attack the 4-level facility location problem (4L-FLP), a critical component in supply chains. Foundational tasks here involve selecting markets, plants, warehouses, and distribution centers to maximize profits while considering related…

Optimization and Control · Mathematics 2025-04-22 Bahram Alidaee , Haibo Wang

Reinforcement Learning (RL) has shown promise for aligning Large Language Models (LLMs) to follow instructions with various constraints. Despite the encouraging results, RL improvement inevitably relies on sampling successful, high-quality…

Artificial Intelligence · Computer Science 2025-12-30 Kongcheng Zhang , Qi Yao , Shunyu Liu , Wenjian Zhang , Min Cen , Yang Zhou , Wenkai Fang , Yiru Zhao , Baisheng Lai , Mingli Song

In this work, we introduce PIPER: Primitive-Informed Preference-based Hierarchical reinforcement learning via Hindsight Relabeling, a novel approach that leverages preference-based learning to learn a reward model, and subsequently uses…

Machine Learning · Computer Science 2024-06-18 Utsav Singh , Wesley A. Suttle , Brian M. Sadler , Vinay P. Namboodiri , Amrit Singh Bedi

Effective prompt engineering remains a central challenge in fully harnessing the capabilities of LLMs. While well-designed prompts can dramatically enhance performance, crafting them typically demands expert intuition and a nuanced…

Artificial Intelligence · Computer Science 2026-04-21 Paweł Batorski , Adrian Kosmala , Paul Swoboda

Mixed-integer nonlinear programs (MINLPs) arise in domains such as energy systems, process engineering, and transportation, and are notoriously difficult to solve at scale due to the interplay of discrete decisions and nonlinear…

Machine Learning · Computer Science 2025-12-16 Bo Tang , Elias B. Khalil , Ján Drgoňa

Current state-of-the-art solvers for mixed-integer programming (MIP) problems are designed to perform well on a wide range of problems. However, for many real-world use cases, problem instances come from a narrow distribution. This has…

Optimization and Control · Mathematics 2022-02-15 Charly Robinson La Rocca , Emma Frejinger , Jean-François Cordeau

Directly solving large-scale Integer Linear Programs (ILPs) using traditional solvers is slow due to their NP-hard nature. While recent frameworks based on Large Neighborhood Search (LNS) can accelerate the solving process, their…

Machine Learning · Computer Science 2025-09-23 Ning Xu , Junkai Zhang , Yang Wu , Huigen Ye , Hua Xu , Huiling Xu , Yifan Zhang

In modern engineering scenarios, there is often a strict upper bound on the number of algorithm iterations that can be performed within a given time limit. This raises the question of optimal algorithmic configuration for a fixed and finite…

Optimization and Control · Mathematics 2024-12-31 Yushun Zhang , Dmitry Rybin , Zhi-Quan Luo

While originally developed for continuous control problems, Proximal Policy Optimization (PPO) has emerged as the work-horse of a variety of reinforcement learning (RL) applications, including the fine-tuning of generative models.…

Data preparation is a foundational yet notoriously challenging component of the machine learning lifecycle, characterized by a vast combinatorial search space. While reinforcement learning (RL) offers a promising direction, state-of-the-art…

Databases · Computer Science 2025-07-29 Jing Chang , Chang Liu , Jinbin Huang , Shuyuan Zheng , Rui Mao , Jianbin Qin
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