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Integer and mixed-integer nonlinear programming (INLP, MINLP) are central to logistics, energy, and scheduling, but remain computationally challenging. This survey examines how machine learning and reinforcement learning can enhance exact…

Optimization and Control · Mathematics 2025-11-04 Morteza Kimiaei , Vyacheslav Kungurtsev , Brian Olimba

In this chapter, an integer linear programming formulation for the problem of obtaining task-relevant, multi-resolution, environment abstractions for resource-constrained autonomous agents is presented. The formulation leverages concepts…

Information Theory · Computer Science 2022-08-09 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

State-of-the-art SAT solvers are nowadays able to handle huge real-world instances. The key to this success is the so-called Conflict-Driven Clause-Learning (CDCL) scheme, which encompasses a number of techniques that exploit the conflicts…

Artificial Intelligence · Computer Science 2024-02-27 Robert Nieuwenhuis , Albert Oliveras , Enric Rodriguez-Carbonell

Learning linear combinations of multiple kernels is an appealing strategy when the right choice of features is unknown. Previous approaches to multiple kernel learning (MKL) promote sparse kernel combinations to support interpretability and…

Machine Learning · Computer Science 2010-10-28 Marius Kloft , Ulf Brefeld , Soeren Sonnenburg , Alexander Zien

Large Language Models (LLMs) have demonstrated impressive in-context learning (ICL) capabilities from few-shot demonstration exemplars. While recent learning-based demonstration selection methods have proven beneficial to ICL by choosing…

Machine Learning · Computer Science 2024-10-16 Hui Liu , Wenya Wang , Hao Sun , Chris Xing Tian , Chenqi Kong , Xin Dong , Haoliang Li

Efficient scheduling of periodic meetings is a critical challenge in various service-oriented domains, including academic settings, healthcare, and legal consultancy. This study presents a robust Integer Linear Programming (ILP) model to…

Discrete Mathematics · Computer Science 2024-12-17 Sina Moradi

Integer linear programming (ILP) remains computationally challenging due to its NP-complete nature despite its central role in scheduling, logistics, and design optimization. We introduce a fully quantum Metropolis-Hastings algorithm for…

Quantum Physics · Physics 2026-02-16 Gabriel Escrig , Roberto Campos , M. A. Martin-Delgado

Finding high-quality solutions to mixed-integer linear programming problems (MILPs) is of great importance for many practical applications. In this respect, the refinement heuristic local branching (LB) has been proposed to produce…

Optimization and Control · Mathematics 2022-08-04 Defeng Liu , Matteo Fischetti , Andrea Lodi

Output thresholding is the technique to search for the best threshold to be used during inference for any classifiers that can produce probability estimates on train and testing datasets. It is particularly useful in high imbalance…

Machine Learning · Computer Science 2024-05-21 Baran Koseoglu , Luca Traverso , Mohammed Topiwalla , Egor Kraev , Zoltan Szopory

Solving large-scale Mixed Integer Programs (MIP) can be difficult without advanced algorithms such as decomposition based techniques. Even if a decomposition technique might be appropriate, there are still many possible decompositions for…

Optimization and Control · Mathematics 2022-07-04 Jake Weiner , Andreas T. Ernst , Xiaodong Li , Yuan Sun

Structured output prediction problems (e.g., sequential tagging, hierarchical multi-class classification) often involve constraints over the output label space. These constraints interact with the learned models to filter infeasible…

Machine Learning · Computer Science 2021-06-14 Tao Meng , Kai-Wei Chang

Machine learning can provide deep insights into data, allowing machines to make high-quality predictions and having been widely used in real-world applications, such as text mining, visual classification, and recommender systems. However,…

Machine Learning · Computer Science 2020-08-11 Meng Wang , Weijie Fu , Xiangnan He , Shijie Hao , Xindong Wu

Machine learning interatomic potentials (MLIPs) enables molecular dynamics (MD) simulations with ab initio accuracy and has been applied to various fields of physical science. However, the performance and transferability of MLIPs are…

Chemical Physics · Physics 2024-04-16 Taoyong Cui , Chenyu Tang , Mao Su , Shufei Zhang , Yuqiang Li , Lei Bai , Yuhan Dong , Xingao Gong , Wanli Ouyang

Information Pursuit (IP) is an explainable prediction algorithm that greedily selects a sequence of interpretable queries about the data in order of information gain, updating its posterior at each step based on observed query-answer pairs.…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Stefan Kolek , Aditya Chattopadhyay , Kwan Ho Ryan Chan , Hector Andrade-Loarca , Gitta Kutyniok , Réne Vidal

Interleaving learning is a human learning technique where a learner interleaves the studies of multiple topics, which increases long-term retention and improves ability to transfer learned knowledge. Inspired by the interleaving learning…

Machine Learning · Computer Science 2021-03-15 Hao Ban , Pengtao Xie

Finding optimal join orders is among the most crucial steps to be performed by query optimisers. Though extensively studied in data management research, the problem remains far from solved: While query optimisers rely on exhaustive search…

Databases · Computer Science 2025-10-24 Manuel Schönberger , Immanuel Trummer , Wolfgang Mauerer

Mixed Integer Linear Programming (MILP) is a fundamental tool for modeling combinatorial optimization problems. Recently, a growing body of research has used machine learning to accelerate MILP solving. Despite the increasing popularity of…

Machine Learning · Computer Science 2024-10-29 Weimin Huang , Taoan Huang , Aaron M Ferber , Bistra Dilkina

Machine Learning Interatomic Potentials (MLIP) are a novel in silico approach for molecular property prediction, creating an alternative to disrupt the accuracy/speed trade-off of empirical force fields and density functional theory (DFT).…

Motivated by algorithmic information theory, the problem of program discovery can help find candidates of underlying generative mechanisms of natural and artificial phenomena. The uncomputability of such inverse problem, however,…

Information Theory · Computer Science 2021-12-29 Vladimir Lemusa , Eduardo Acuña , Víctor Zamora , Francisco Hernandez-Quiroz , Hector Zenil

Inverse reinforcement learning (IRL) infers a reward function from demonstrations, allowing for policy improvement and generalization. However, despite much recent interest in IRL, little work has been done to understand the minimum set of…

Machine Learning · Computer Science 2019-08-19 Daniel S. Brown , Scott Niekum
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