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Detecting anomalies over real-world datasets remains a challenging task. Data annotation is an intensive human labor problem, particularly in sequential datasets, where the start and end time of anomalies are not known. As a result, data…

Machine Learning · Computer Science 2022-10-05 Parastoo Kamranfar , David Lattanzi , Amarda Shehu , Daniel Barbará

We study multistage distributionally robust mixed-integer programs under endogenous uncertainty, where the probability distribution of stage-wise uncertainty depends on the decisions made in previous stages. We first consider two ambiguity…

Optimization and Control · Mathematics 2020-09-28 Xian Yu , Siqian Shen

We study a two-stage mixed-integer linear program (MILP) with more than 1 million binary variables in the second stage. We develop a two-level approach by constructing a semi-coarse model (coarsened with respect to variables) and a coarse…

Optimization and Control · Mathematics 2015-04-20 Fu Lin , Sven Leyffer , Todd Munson

In this letter, we consider the Multi-Robot Efficient Search Path Planning (MESPP) problem, where a team of robots is deployed in a graph-represented environment to capture a moving target within a given deadline. We prove this problem to…

Robotics · Computer Science 2021-01-14 Beatriz A. Asfora , Jacopo Banfi , Mark Campbell

Multiple instance learning (MIL) is concerned with learning from sets (bags) of objects (instances), where the individual instance labels are ambiguous. In this setting, supervised learning cannot be applied directly. Often, specialized MIL…

Machine Learning · Statistics 2014-12-04 Veronika Cheplygina , David M. J. Tax , Marco Loog

A standard tool for modelling real-world optimisation problems is mixed-integer programming (MIP). However, for many of these problems, information about the relationships between variables is either incomplete or highly complex, making it…

Optimization and Control · Mathematics 2024-05-24 Mark Turner , Antonia Chmiela , Thorsten Koch , Michael Winkler

In deep metric learning, the training procedure relies on sampling informative tuples. However, as the training procedure progresses, it becomes nearly impossible to sample relevant hard negative examples without proper mining strategies or…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Pierre Jacob , David Picard , Aymeric Histace , Edouard Klein

A novel two-phase molecule inference framework, mol-infer, has recently been developed to infer chemical graphs with prescribed abstract structures and desired property values through mixed integer linear programming (MILP) under the…

Quantitative Methods · Quantitative Biology 2026-05-29 Jianshen Zhu , Raveena Rai , Taiyo Sohkawa , Naveed Ahmed Azam , Kazuya Haraguchi , Liang Zhao , Tatsuya Akutsu

This paper presents a new hybrid classical-quantum approach to solve Mixed Integer Linear Programming (MILP) using neutral atom quantum computations. We apply Benders decomposition (BD) to segment MILPs into a master problem (MP) and a…

Quantum Physics · Physics 2024-07-17 M. Yassine Naghmouchi , Wesley da Silva Coelho

Modern Mixed Integer Linear Programming (MILP) solvers use the Branch-and-Bound algorithm together with a plethora of auxiliary components that speed up the search. In recent years, there has been an explosive development in the use of…

Optimization and Control · Mathematics 2024-11-28 Lara Scavuzzo , Karen Aardal , Neil Yorke-Smith

Multi-instance learning (MIL) deals with tasks where data is represented by a set of bags and each bag is described by a set of instances. Unlike standard supervised learning, only the bag labels are observed whereas the label for each…

Machine Learning · Computer Science 2021-04-27 Weijia Zhang , Jiuyong Li , Lin Liu

In this study, we introduce an innovative deep learning framework that employs a transformer model to address the challenges of mixed-integer programs, specifically focusing on the Capacitated Lot Sizing Problem (CLSP). Our approach, to our…

Artificial Intelligence · Computer Science 2024-05-27 Joshua F. Cooper , Seung Jin Choi , I. Esra Buyuktahtakin

Recent advances in generative models have highlighted the need for robust detectors capable of distinguishing real images from AI-generated images. While existing methods perform well on known generators, their performance often declines…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Kuo Shi , Jie Lu , Shanshan Ye , Guangquan Zhang , Zhen Fang

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

Machine Learning · Computer Science 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

This paper focuses on the problem of supplying the workstations of assembly lines with components during the production process. For that specific problem, this paper presents a Mixed Integer Linear Program (MILP) that aims at minimizing…

Mixed-integer quadratic programs (MIQPs) are a versatile way of formulating vehicle decision making and motion planning problems, where the prediction model is a hybrid dynamical system that involves both discrete and continuous decision…

Robotics · Computer Science 2024-05-15 Rudolf Reiter , Rien Quirynen , Moritz Diehl , Stefano Di Cairano

The whole slide image (WSI) classification is often formulated as a multiple instance learning (MIL) problem. Since the positive tissue is only a small fraction of the gigapixel WSI, existing MIL methods intuitively focus on identifying…

Computer Vision and Pattern Recognition · Computer Science 2023-12-22 Wenhao Tang , Sheng Huang , Xiaoxian Zhang , Fengtao Zhou , Yi Zhang , Bo Liu

Mixed-integer programming (MIP) is a well-established framework for computer-aided molecular design (CAMD). By precisely encoding the molecular space and score functions, e.g., a graph neural network, the molecular design problem is…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Shiqiang Zhang , Christian W. Feldmann , Frederik Sandfort , Miriam Mathea , Juan S. Campos , Ruth Misener

In this paper, we explore model-based approach to training robust and interpretable binarized regression models for multiclass classification tasks using Mixed-Integer Programming (MIP). Our MIP model balances the optimization of prediction…

Machine Learning · Computer Science 2022-03-22 Sanjana Tule , Nhi Ha Lan Le , Buser Say

Finding a high-quality feasible solution to a combinatorial optimization (CO) problem in a limited time is challenging due to its discrete nature. Recently, there has been an increasing number of machine learning (ML) methods for addressing…

Optimization and Control · Mathematics 2023-08-02 Taehyun Yoon , Jinwon Choi , Hyokun Yun , Sungbin Lim