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We consider the problem of learning optimal binary classification trees. Literature on the topic has burgeoned in recent years, motivated both by the empirical suboptimality of heuristic approaches and the tremendous improvements in…

Machine Learning · Statistics 2020-05-14 Sina Aghaei , Andres Gomez , Phebe Vayanos

While almost all existing works which optimally solve just-in-time scheduling problems propose dedicated algorithmic approaches, we propose in this work mixed integer formulations. We consider a single machine scheduling problem that aims…

Data Structures and Algorithms · Computer Science 2021-02-15 Anne-Elisabeth Falq , Pierre Fouilhoux , Safia Kedad-Sidhoum

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

This paper proposes a novel primal heuristic for Mixed Integer Programs, by employing machine learning techniques. Mixed Integer Programming is a general technique for formulating combinatorial optimization problems. Inside a solver, primal…

Artificial Intelligence · Computer Science 2021-07-05 Yunzhuang Shen , Yuan Sun , Andrew Eberhard , Xiaodong Li

Part-level features are crucial for image understanding, but few studies focus on them because of the lack of fine-grained labels. Although unsupervised part discovery can eliminate the reliance on labels, most of them cannot maintain…

Computer Vision and Pattern Recognition · Computer Science 2025-07-17 Jiahao Xia , Yike Wu , Wenjian Huang , Jianguo Zhang , Jian Zhang

In this paper, we propose a class of super-schemes for efficiently solving nonlinear unconstrained optimization problems. The proposed approach introduces two novel choices of step-size parameters, leading to efficient descent directions…

Optimization and Control · Mathematics 2026-04-24 Tugal Zhanlav , Lkhamsuren Altangerel , Khuder Otgondorj

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

Optimization and Control · Mathematics 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

Mixed-integer programming (MIP) is a powerful paradigm for modeling and solving various important combinatorial optimization problems. Recently, learning-based approaches have shown a potential to speed up MIP solving via offline training…

Artificial Intelligence · Computer Science 2025-07-24 Junyang Cai , Serdar Kadioglu , Bistra Dilkina

Mixed-integer linear programs (MILPs) are extensively used to model practical problems such as planning and scheduling. A prominent method for solving MILPs is large neighborhood search (LNS), which iteratively seeks improved solutions…

Optimization and Control · Mathematics 2024-12-12 Wenbo Liu , Akang Wang , Wenguo Yang , Qingjiang Shi

Mixed-Integer Linear Programming (MILP) is a fundamental and powerful framework for modeling complex optimization problems across diverse domains. Recently, learning-based methods have shown great promise in accelerating MILP solvers by…

Machine Learning · Computer Science 2025-11-05 Tianle Pu , Zijie Geng , Haoyang Liu , Shixuan Liu , Jie Wang , Li Zeng , Chao Chen , Changjun Fan

This paper considers how to fuse Machine Learning (ML) and optimization to solve large-scale Supply Chain Planning (SCP) optimization problems. These problems can be formulated as MIP models which feature both integer (non-binary) and…

Machine Learning · Computer Science 2025-04-11 Vahid Eghbal Akhlaghi , Reza Zandehshahvar , Pascal Van Hentenryck

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

Mixed-Integer Linear Programs (MIPs) are powerful and flexible tools for modeling a wide range of real-world combinatorial optimization problems. Predict-and-Search methods operate by using a predictive model to estimate promising variable…

Artificial Intelligence · Computer Science 2026-04-21 Junyang Cai , El Mehdi Er Raqabi , Pascal Van Hentenryck , Bistra Dilkina

Ensemble learning combines multiple classifiers in the hope of obtaining better predictive performance. Empirical studies have shown that ensemble pruning, that is, choosing an appropriate subset of the available classifiers, can lead to…

Mixed Integer programs (MIPs) are typically solved by the Branch-and-Bound algorithm. Recently, Learning to imitate fast approximations of the expert strong branching heuristic has gained attention due to its success in reducing the running…

Optimization and Control · Mathematics 2023-07-03 Sahil Manchanda , Sayan Ranu

One of the primary areas of interest in High Performance Computing is the improvement of performance of parallel workloads. Nowadays, compilable source code-based optimization tasks that employ deep learning often exploit LLVM Intermediate…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-03 Akash Dutta , Ali Jannesari

We propose a mixed integer programming (MIP) model and iterative algorithms based on topological orders to solve optimization problems with acyclic constraints on a directed graph. The proposed MIP model has a significantly lower number of…

Machine Learning · Statistics 2017-11-02 Young Woong Park , Diego Klabjan

Masked AutoEncoders (MAE) have emerged as a robust self-supervised framework, offering remarkable performance across a wide range of downstream tasks. To increase the difficulty of the pretext task and learn richer visual representations,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Carlos Hinojosa , Shuming Liu , Bernard Ghanem

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

Artificial Intelligence · Computer Science 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

Many important classification problems, such as object classification, speech recognition, and machine translation, have been tackled by the supervised learning paradigm in the past, where training corpora of parallel input-output pairs are…

Machine Learning · Computer Science 2019-06-10 Yu Liu , Li Deng , Jianshu Chen , Chang Wen Chen