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In combinatorial optimization, partial variable assignments are called persistent if they agree with some optimal solution. We propose persistency criteria for the multicut and max-cut problem as well as fast combinatorial routines to…

Optimization and Control · Mathematics 2018-12-05 Jan-Hendrik Lange , Bjoern Andres , Paul Swoboda

We consider combinatorial optimization problems defined over random ensembles, and study how solution cost increases when the optimal solution undergoes a small perturbation delta. For the minimum spanning tree, the increase in cost scales…

Disordered Systems and Neural Networks · Physics 2009-11-10 David Aldous , Allon G. Percus

We consider the problem of learning decision rules for prediction with feature budget constraint. In particular, we are interested in pruning an ensemble of decision trees to reduce expected feature cost while maintaining high prediction…

Machine Learning · Statistics 2016-01-06 Feng Nan , Joseph Wang , Venkatesh Saligrama

Advancements in mathematical programming have made it possible to efficiently tackle large-scale real-world problems that were deemed intractable just a few decades ago. However, provably optimal solutions may not be accepted due to the…

Optimization and Control · Mathematics 2023-12-22 Kevin-Martin Aigner , Marc Goerigk , Michael Hartisch , Frauke Liers , Arthur Miehlich

We address the problem of summarizing embedded tree patterns extracted from large data trees. We do so by defining and mining closed and maximal embedded unordered tree patterns from a single large data tree. We design an embedded frequent…

Databases · Computer Science 2022-01-11 Xiaoying Wu , Dimitri Theodoratos , Nikos Mamoulis

Combinatorial optimization lies at the core of many real-world problems. Especially since the rise of graph neural networks (GNNs), the deep learning community has been developing solvers that derive solutions to NP-hard problems by…

Machine Learning · Computer Science 2022-01-26 Maximilian Böther , Otto Kißig , Martin Taraz , Sarel Cohen , Karen Seidel , Tobias Friedrich

Data-driven algorithm selection is a powerful approach for choosing effective heuristics for computational problems. It operates by evaluating a set of candidate algorithms on a collection of representative training instances and selecting…

Machine Learning · Computer Science 2025-12-04 Vaggos Chatziafratis , Ishani Karmarkar , Yingxi Li , Ellen Vitercik

The secretary problem is a classic model for online decision making. Recently, combinatorial extensions such as matroid or matching secretary problems have become an important tool to study algorithmic problems in dynamic markets. Here the…

Data Structures and Algorithms · Computer Science 2017-08-28 Martin Hoefer , Bojana Kodric

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

Optimization and Control · Mathematics 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

We explore a multiple-stage variant of the min-max robust selection problem with budgeted uncertainty that includes queries. First, one queries a subset of items and gets the exact values of their uncertain parameters. Given this…

Optimization and Control · Mathematics 2025-01-07 Xiaoyu Chen , Marc Goerigk , Michael Poss

We present a quantum algorithm for combinatorial optimization using the cost structure of the search states. Its behavior is illustrated for overconstrained satisfiability and asymmetric traveling salesman problems. Simulations with…

Quantum Physics · Physics 2007-05-23 Tad Hogg , Dmitriy Portnov

Sorting is one of the most used and well investigated algorithmic problem [1]. Traditional postulation supposes the sorting data archived, and the elementary operation as comparisons of two numbers. In a view of appearance of new processors…

Data Structures and Algorithms · Computer Science 2011-07-22 Hakob Aslanyan

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

Consider the following generalization of the classic binary search problem: A searcher is required to find a hidden target vertex $x$ in a graph $G$. To do so, they iteratively perform queries to an oracle, each about a chosen vertex $v$.…

Data Structures and Algorithms · Computer Science 2026-03-17 Michał Szyfelbein

Elimination algorithms for bandit identification, which prune the plausible correct answers sequentially until only one remains, are computationally convenient since they reduce the problem size over time. However, existing elimination…

Machine Learning · Computer Science 2022-10-25 Andrea Tirinzoni , Rémy Degenne

Constraint problems can be trivially solved in parallel by exploring different branches of the search tree concurrently. Previous approaches have focused on implementing this functionality in the solver, more or less transparently to the…

Artificial Intelligence · Computer Science 2010-08-26 Lars Kotthoff , Neil C. A. Moore

We consider robust combinatorial optimization problems with cost uncertainty where the decision maker can prepare K solutions beforehand and chooses the best of them once the true cost is revealed. Also known as min-max-min robustness (a…

Optimization and Control · Mathematics 2019-10-29 Marc Goerigk , Jannis Kurtz , Michael Poss

Pruning is a core technique for compressing neural networks to improve computational efficiency. This process is typically approached in two ways: one-shot pruning, which involves a single pass of training and pruning, and iterative…

Machine Learning · Computer Science 2025-08-20 Mikołaj Janusz , Tomasz Wojnar , Yawei Li , Luca Benini , Kamil Adamczewski

Recent research has examined algorithms to minimize robots' resource footprints. The class of combinatorial filters (discrete variants of widely-used probabilistic estimators) has been studied and methods for reducing their space…

Discrete Mathematics · Computer Science 2022-02-01 Yulin Zhang , Dylan A. Shell

We often add arithmetic to extend the expressiveness of query languages and study the complexity of problems such as testing query containment and finding certain answers in the framework of answering queries using views. When adding…

Databases · Computer Science 2020-11-19 Foto N. Afrati , Matthew Damigos
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