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This study introduces a hybrid meta-heuristic for generating feasible course timetables in large-scale scenarios. We conducted tests using our university's instances. The current commercial software often struggles to meet constraints and…

Optimization and Control · Mathematics 2023-11-01 João Almeida , José Rui Figueira , Alexandre P. Francisco , Daniel Santos

We propose randomized subspace gradient methods for high-dimensional constrained optimization. While there have been similarly purposed studies on unconstrained optimization problems, there have been few on constrained optimization problems…

Optimization and Control · Mathematics 2023-07-10 Ryota Nozawa , Pierre-Louis Poirion , Akiko Takeda

Several different ways exist for approaching hard optimization problems. Mathematical programming techniques, including (integer) linear programming-based methods and metaheuristic approaches, are two highly successful streams for…

Optimization and Control · Mathematics 2022-02-08 Hengameh Fakhravar

Register allocation (mapping variables to processor registers or memory) and instruction scheduling (reordering instructions to increase instruction-level parallelism) are essential tasks for generating efficient assembly code in a…

Programming Languages · Computer Science 2019-06-10 Roberto Castañeda Lozano , Christian Schulte

We propose to use local search algorithms to produce SAT instances which are harder to solve than randomly generated k-CNF formulae. The first results, obtained with rudimentary search algorithms, show that the approach deserves further…

Neural and Evolutionary Computing · Computer Science 2010-11-29 Olivier Bailleux

Combinatorial optimization problems arise in a wide range of applications from diverse domains. Many of these problems are NP-hard and designing efficient heuristics for them requires considerable time and experimentation. On the other…

Data Structures and Algorithms · Computer Science 2020-01-07 Juho Lauri , Sourav Dutta , Marco Grassia , Deepak Ajwani

Budgeted uncertainty sets have been established as a major influence on uncertainty modeling for robust optimization problems. A drawback of such sets is that the budget constraint only restricts the global amount of cost increase that can…

Optimization and Control · Mathematics 2020-08-28 Marc Goerigk , Stefan Lendl

Our goal is to build robust optimization problems for making decisions based on complex data from the past. In robust optimization (RO) generally, the goal is to create a policy for decision-making that is robust to our uncertainty about…

Optimization and Control · Mathematics 2014-07-07 Theja Tulabandhula , Cynthia Rudin

We study oracle complexity of gradient based methods for stochastic approximation problems. Though in many settings optimal algorithms and tight lower bounds are known for such problems, these optimal algorithms do not achieve the best…

Optimization and Control · Mathematics 2022-06-20 Jingzhao Zhang , Hongzhou Lin , Subhro Das , Suvrit Sra , Ali Jadbabaie

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

We introduce a novel approach to reduce the computational effort of solving mixed-integer convex chance constrained programs through the scenario approach. Instead of reducing the number of required scenarios, we directly minimize the…

Optimization and Control · Mathematics 2020-02-05 Damian Frick , Pier Giuseppe Sessa , Tony A. Wood , Maryam Kamgarpour

In this paper, we try to further demonstrate that the models of random CSP instances proposed by [Xu and Li, 2000; 2003] are of theoretical and practical interest. Indeed, these models, called RB and RD, present several nice features.…

Artificial Intelligence · Computer Science 2016-08-31 Ke Xu , Frederic Boussemart , Fred Hemery , Christophe Lecoutre

It is increasingly common to solve combinatorial optimisation problems that are partially-specified. We survey the case where the objective function or the relations between variables are not known or are only partially specified. The…

Machine Learning · Computer Science 2022-05-23 Stefano Teso , Laurens Bliek , Andrea Borghesi , Michele Lombardi , Neil Yorke-Smith , Tias Guns , Andrea Passerini

Discrete-time robust optimal control problems generally take a min-max structure over continuous variable spaces, which can be difficult to solve in practice. In this paper, we extend the class of such problems that can be solved through a…

Optimization and Control · Mathematics 2024-04-30 Jad Wehbeh , Eric C. Kerrigan

How to generate instances with relevant properties and without bias remains an open problem of critical importance for a fair comparison of heuristics. In the context of scheduling with precedence constraints, the instance consists of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-18 Louis-Claude Canon , Mohamad El Sayah , Pierre-Cyrille Héam

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

An important factor in the practical implementation of optimization models is the acceptance by the intended users. This is influenced among other factors by the interpretability of the solution process. Decision rules that meet this…

Machine Learning · Computer Science 2024-12-03 Marc Goerigk , Michael Hartisch , Sebastian Merten

In reinforcement learning, robust policies for high-stakes decision-making problems with limited data are usually computed by optimizing the percentile criterion, which minimizes the probability of a catastrophic failure. Unfortunately,…

Machine Learning · Computer Science 2021-03-01 Elita A. Lobo , Mohammad Ghavamzadeh , Marek Petrik

Iterative algorithms aimed at solving some problems are discussed. For certain problems, such as finding a common point in the intersection of a finite number of convex sets, there often exist iterative algorithms that impose very little…

Optimization and Control · Mathematics 2010-09-28 Y. Censor , R. Davidi , G. T. Herman

Although adversarial examples and model robustness have been extensively studied in the context of linear models and neural networks, research on this issue in tree-based models and how to make tree-based models robust against adversarial…

Machine Learning · Computer Science 2019-06-12 Hongge Chen , Huan Zhang , Duane Boning , Cho-Jui Hsieh
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