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In this paper, we develop new discrete relaxations for nonlinear expressions in factorable programming. We utilize specialized convexification results as well as composite relaxations to develop mixed-integer programming (MIP) relaxations.…

Optimization and Control · Mathematics 2024-06-18 Taotao He , Mohit Tawarmalani

We present a Gibbs sampling solution to the map-making problem for CMB measurements, building on existing destriping methodology. Gibbs sampling breaks the computationally heavy destriping problem into two separate steps; noise filtering…

The success of several constraint-based modeling languages such as OPL, ZINC, or COMET, appeals for better software engineering practices, particularly in the testing phase. This paper introduces a testing framework enabling automated test…

Software Engineering · Computer Science 2015-03-17 Nadjib Lazaar , Arnaud Gotlieb , Lebbah Yahia

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

Machine learning is increasingly used to improve decisions within branch-and-bound algorithms for mixed-integer programming. Many existing approaches rely on deep learning, which often requires very large training datasets and substantial…

Machine Learning · Computer Science 2026-04-02 Selin Bayramoğlu , George L Nemhauser , Nikolaos V Sahinidis

[Context] Modern AI applications increasingly process highly structured data, such as 3D meshes and point clouds, where test input generation must preserve both structural and semantic validity. However, existing fuzzing tools and input…

Software Engineering · Computer Science 2025-07-30 Zhaorui Yang , Yuxin Qiu , Haichao Zhu , Qian Zhang

Two-stage stochastic mixed-integer programming (SMIP) problems with general integer variables in the second-stage are generally difficult to solve. This paper develops the theory of integer set reduction for characterizing the subset of the…

Optimization and Control · Mathematics 2016-10-04 Saravanan Venkatachalam , Lewis Ntaimo

We propose an iterative programmatic planning (IPP) framework for solving grid-based tasks by synthesizing interpretable agent policies expressed in code using large language models (LLMs). Instead of relying on traditional search or…

Artificial Intelligence · Computer Science 2025-05-19 Ashwath Vaithinathan Aravindan , Zhisheng Tang , Mayank Kejriwal

Mutation testing consists of generating test cases that detect faults injected into software (generating mutants) which its original test suite could not. By running such an augmented set of test cases, it may discover actual faults that…

Software Engineering · Computer Science 2024-06-05 Jaekwon Lee , Enrico Viganò , Fabrizio Pastore , Lionel Briand

We develop a real-time feasible mixed-integer programming-based decision making (MIP-DM) system for automated driving. Using a linear vehicle model in a road-aligned coordinate frame, the lane change constraints, collision avoidance and…

Optimization and Control · Mathematics 2023-08-22 Rien Quirynen , Sleiman Safaoui , Stefano Di Cairano

In recent past, a number of researchers have proposed genetic algorithm (GA) based strategies for finding optimal test order while minimizing the stub complexity during integration testing. Even though, metaheuristic algorithms have a wide…

Software Engineering · Computer Science 2014-10-20 Chayanika Sharma , Ritu Sibal

This paper describes the computational challenge developed for a computational competition held in 2023 for the $20^{\textrm{th}}$ anniversary of the Mixed Integer Programming Workshop. The topic of this competition was reoptimization, also…

The correctness of compilers is instrumental in the safety and reliability of other software systems, as bugs in compilers can produce programs that do not reflect the intents of programmers. Compilers are complex software systems due to…

Software Engineering · Computer Science 2021-03-22 Md Rafiqul Islam Rabin , Mohammad Amin Alipour

Mixed-Integer Linear Programming (MILP) is widely used in fields such as scheduling, logistics, and planning. Enhancing the performance of MILP solvers, particularly learning-based solvers, requires substantial amounts of high-quality data.…

Optimization and Control · Mathematics 2025-05-20 Tianxing Yang , Huigen Ye , Hua Xu

Improving the generalization of deep networks is an important open challenge, particularly in domains without plentiful data. The mixup algorithm improves generalization by linearly interpolating a pair of examples and their corresponding…

Machine Learning · Computer Science 2022-10-13 Huaxiu Yao , Yiping Wang , Linjun Zhang , James Zou , Chelsea Finn

Compiler pass selection and phase ordering present a significant challenge in achieving optimal program performance, particularly for objectives like code size reduction. Standard compiler heuristics offer general applicability but often…

Software Engineering · Computer Science 2025-10-16 Haolin Pan , Chao Zha , Jinyuan Dong , Mingjie Xing , Yanjun Wu

The problem of computing an exact experimental design that is optimal for the least-squares estimation of the parameters of a regression model is considered. We show that this problem can be solved via mixed-integer linear programming…

Computation · Statistics 2024-06-18 Radoslav Harman , Samuel Rosa

We consider integer programming problems with bounded general-integer variables belonging to the general class of network flow problems. For those, we computationally investigate the effect on mixed-integer linear programming (MIP) solvers…

Optimization and Control · Mathematics 2026-04-09 Pierre Bonami , Sanjeeb Dash , Anton Derkach , Andrea Lodi

Code coverage has been used in the software testing context mostly as a metric to assess a generated test suite's quality. Recently, code coverage analysis is used as a white-box testing technique for test optimization. Most of the research…

Software Engineering · Computer Science 2020-09-08 Krystof Sykora , Bestoun S. Ahmed , Miroslav Bures

Mixed integer convex and nonlinear programs, MICP and MINLP, are expressive but require long solving times. Recent work that combines learning methods on solver heuristics has shown potential to overcome this issue allowing for applications…

Robotics · Computer Science 2021-10-05 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong