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Efficient exploration in bandits is a fundamental online learning problem. We propose a variant of Thompson sampling that learns to explore better as it interacts with bandit instances drawn from an unknown prior. The algorithm meta-learns…

Augmentation methods for mixed-integer (linear) programs are a class of primal solution approaches in which a current iterate is augmented to a better solution or proved optimal. It is well known that the performance of these methods, i.e.,…

Optimization and Control · Mathematics 2015-10-20 Pierre Le Bodic , Jeffrey W. Pavelka , Marc E. Pfetsch , Sebastian Pokutta

Mixed-Integer Programming (MIP), particularly Mixed-Integer Linear Programming (MILP) and Mixed-Integer Quadratic Programming (MIQP), has found extensive applications in domains such as portfolio optimization and network flow control, which…

Optimization and Control · Mathematics 2026-02-03 Zayn Wang

In this paper, we describe a novel unsupervised learning scheme for accelerating the solution of a family of mixed integer programming (MIP) problems. Distinct substantially from existing learning-to-optimize methods, our proposal seeks to…

Optimization and Control · Mathematics 2024-12-25 Shiyuan Qu , Fenglian Dong , Zhiwei Wei , Chao Shang

Bandit algorithms and Large Language Models (LLMs) have emerged as powerful tools in artificial intelligence, each addressing distinct yet complementary challenges in decision-making and natural language processing. This survey explores the…

Artificial Intelligence · Computer Science 2025-10-01 Djallel Bouneffouf , Raphael Feraud

In this paper, we develop a fast mixed-integer convex programming (MICP) framework for multi-robot navigation by combining graph attention networks and distributed optimization. We formulate a mixed-integer optimization problem for receding…

Systems and Control · Electrical Eng. & Systems 2025-03-28 Viet-Anh Le , Panagiotis Kounatidis , Andreas A. Malikopoulos

We present an approach to Intelligent Tutoring Systems which adaptively personalizes sequences of learning activities to maximize skills acquired by students, taking into account the limited time and motivational resources. At a given point…

Artificial Intelligence · Computer Science 2019-07-17 Benjamin Clement , Didier Roy , Pierre-Yves Oudeyer , Manuel Lopes

Multi-Robot-Arm Motion Planning (M-RAMP) is a challenging problem featuring complex single-agent planning and multi-agent coordination. Recent advancements in extending the popular Conflict-Based Search (CBS) algorithm have made large…

Robotics · Computer Science 2024-07-30 Yorai Shaoul , Rishi Veerapaneni , Maxim Likhachev , Jiaoyang Li

Designing experiments often requires balancing between learning about the true treatment effects and earning from allocating more samples to the superior treatment. While optimal algorithms for the Multi-Armed Bandit Problem (MABP) provide…

Computation · Statistics 2023-01-04 James K. He , Sofía S. Villar , Lida Mavrogonatou

The detection of cyber-attacks in computer networks is a crucial and ongoing research challenge. Machine learning-based attack classification offers a promising solution, as these models can be continuously updated with new data, enhancing…

Cryptography and Security · Computer Science 2024-08-30 Maximilian Wolf , Dieter Landes , Andreas Hotho , Daniel Schlör

Mixed Integer Linear Programs (MILPs) are highly flexible and powerful tools for modeling and solving complex real-world combinatorial optimization problems. Recently, machine learning (ML)-guided approaches have demonstrated significant…

Artificial Intelligence · Computer Science 2025-06-13 Junyang Cai , Taoan Huang , Bistra Dilkina

In fields such as autonomous and safety-critical systems, online optimization plays a crucial role in control and decision-making processes, often requiring the integration of continuous and discrete variables. These tasks are frequently…

Optimization and Control · Mathematics 2025-03-17 Marco Zamponi , Emilio Incerto , Daniele Masti , Mirco Tribastone

Mixed integer bilinear programs (MIBLPs) offer tools to resolve robotics motion planning problems with orthogonal rotation matrices or static moment balance, but require long solving times. Recent work utilizing data-driven methods has…

Robotics · Computer Science 2024-08-02 Xuan Lin , Gabriel Ikaika Fernandez , Dennis Hong

Artificial Neural Networks (ANNs) are prevalent machine learning models that are applied across various real-world classification tasks. However, training ANNs is time-consuming and the resulting models take a lot of memory to deploy. In…

Machine Learning · Computer Science 2022-06-27 Vrishabh Patil , Yonatan Mintz

Conflict learning algorithms are an important component of modern MIP and CP solvers. But strong conflict information is typically gained by depth-first search. While this is the natural mode for CP solving, it is not for MIP solving. Rapid…

Optimization and Control · Mathematics 2019-02-08 Timo Berthold , Peter J. Stuckey , Jakob Witzig

An important problem in optimization is the construction of mixed-integer programming (MIP) formulations of disjunctive constraints that are both strong and small. Motivated by lower bounds on the number of integer variables that are…

Optimization and Control · Mathematics 2017-12-05 Joey Huchette , Juan Pablo Vielma

We develop a novel and generic algorithm for the adversarial multi-armed bandit problem (or more generally the combinatorial semi-bandit problem). When instantiated differently, our algorithm achieves various new data-dependent regret…

Machine Learning · Computer Science 2018-06-08 Chen-Yu Wei , Haipeng Luo

Fine-tuning Multimodal Large Language Models (MLLMs) with parameter-efficient methods like Low-Rank Adaptation (LoRA) is crucial for task adaptation. However, imbalanced training dynamics across modalities often lead to suboptimal accuracy…

Machine Learning · Computer Science 2026-03-03 Minkyoung Cho , Insu Jang , Shuowei Jin , Zesen Zhao , Adityan Jothi , Ethem F. Can , Min-Hung Chen , Z. Morley Mao

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

Mixed integer Model Predictive Control (MPC) problems arise in the operation of systems where discrete and continuous decisions must be taken simultaneously to compensate for disturbances. The efficient solution of mixed integer MPC…

Optimization and Control · Mathematics 2024-04-09 Ilias Mitrai , Prodromos Daoutidis