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A Global Constraint for the Exact Cover Problem: Application to Conceptual Clustering
2020
The Journal of Artificial Intelligence Research
We introduce the exactCover global constraint dedicated to the exact cover problem, the goal of which is to select subsets such that each element of a given set belongs to exactly one selected subset. ...
This NP-complete problem occurs in many applications, and we more particularly focus on a conceptual clustering application. ...
We also thank Ian Davidson for an enriching discussion on clustering problems and their relation with exact cover problems. ...
doi:10.1613/jair.1.11870
fatcat:udml6wh4wfhnblzfn4wzsnmhzi
Text Summarization Model based on Maximum Coverage Problem and its Variant
2008
Transactions of the Japanese society for artificial intelligence
On the basis of the results of comparative experiments, we also augment the summarization model so that it takes into account the relevance to the document cluster. ...
We discuss text summarization in terms of maximum coverage problem and its variant. ...
Such a set of multiple documents is called a document cluster. The method proposed in this paper is applicable to both tasks. ...
doi:10.1527/tjsai.23.505
fatcat:v4bph377erfexpyr46ubcws5ki
Statistical physics of hard optimization problems
2009
Acta Physica Slovaca
The principal question we address in this article is: How to recognize if an NP-complete constraint satisfaction problem is typically hard and what are the main reasons for this? ...
We suggest a relation between the existence of the so-called frozen variables and the algorithmic hardness of a problem. ...
Application to the exact cover (positive 1-in-3 SAT) The 1-in-3 SAT problem (with probability of negating a variable equal to one-half) is a rare example of an NP-complete problem which is on average algorithmically ...
doi:10.2478/v10155-010-0096-6
fatcat:7mc6yhbptnc65cf4sg6rzg4vi4
Statistical Physics of Hard Optimization Problems
[article]
2008
arXiv
pre-print
The principal question we address in this thesis is: How to recognize if an NP-complete constraint satisfaction problem is typically hard and what are the main reasons for this? ...
We suggest a relation between the existence of the so-called frozen variables and the algorithmic hardness of a problem. ...
To average over the ensemble of random graphs we adopt the same equations as we did for the belief propagation in sec. 1.5.3. 1.7.3 Application to the exact cover (positive 1-in-3 SAT) The 1-in-3 SAT problem ...
arXiv:0806.4112v1
fatcat:74fwqrf3vfg5vlvaggjve5sz4e
Ambulances Deployment Problems: Categorization, Evolution and Dynamic Problems Review
2022
ISPRS International Journal of Geo-Information
Considering that state-of-the-art is moving to deal with more extensive and dynamic problems to address in a better way real-life instances, this research looks to identify the evolution and recent applications ...
At the same time, a proposed notation tries to tackle the fact that the word problem in this kind of work refers to a model on many occasions. ...
MILP is the preferred approach due to getting an exact solution. ISPRS Int. J. Geo-Inf. 2022, 10, x FOR PEER REVIEW 25 of 37 In a novel application, game theory was used by Abensur et al. ...
doi:10.3390/ijgi11020109
fatcat:eufgdz6orvacjgrs2bgllkwyze
On the Use of Biased-Randomized Algorithms for Solving Non-Smooth Optimization Problems
2019
Algorithms
Soft constraints are quite common in real-life applications. ...
In this paper, we propose the use of biased-randomized algorithms as an effective methodology to cope with NP-hard and non-smooth optimization problems in many practical applications. ...
Sona Taheri for inviting us to participate in this special issue in honor of Prof. Dr. Adil M. Bagirov.
Conflicts of Interest: The authors declare no conflict of interest. Algorithms 2020, 13, 8 ...
doi:10.3390/a13010008
fatcat:544u6u63lzeo7lh2dp7evfbwua
Simplified Modeling and Solving of Logistics Optimization Problems
2014
International Journal of Transportation
It presents a classification of general simplification principles that are useful for reducing the complexity of logistics problems, in order to facilitate understanding between academics and practice. ...
Due to the variety of existing approaches and the specifics of each problem it is often difficult to find an appropriate method. ...
lead to a globally optimal solution" ( [108] ). ...
doi:10.14257/ijt.2014.2.1.03
fatcat:bmhipzlngjernkere5kta3m3yq
Quiet Planting in the Locked Constraint Satisfaction Problems
2011
SIAM Journal on Discrete Mathematics
We study the planted ensemble of locked constraint satisfaction problems. We describe the connection between the random and planted ensembles. ...
Our main result is the location of the hard region in the planted ensemble. In a part of that hard region instances have with high probability a single satisfying assignment. ...
We thank to Dimitris Achlioptas, Amin Coja-Oghlan, Matti Jarvisalo, Andrea Montanari, Cris Moore and Guilhem Semerjian for fruitful discussions and suggestions. ...
doi:10.1137/090750755
fatcat:3jsyuj2h2rerlhmtc3eqxlmboi
Facility Location Problems: Models, Techniques, and Applications in Waste Management
2020
Recycling
Some of the optimization techniques that have been applied to location problems are also presented along with an appropriate pseudocode algorithm for their implementation. ...
Concerning the models and solution techniques, the survey concludes by summarizing some recent studies on the applications of FLPs to waste collection and disposal. ...
Acknowledgments: The authors are grateful to the management of Covenant and Redeemer's Universities for providing an enabling environment in doing the report of this research work. ...
doi:10.3390/recycling5020010
fatcat:fqylm5cp7bce3j54p3ywbx2rtq
Algorithm Engineering for Cut Problems
[article]
2021
arXiv
pre-print
This work develops highly-efficient algorithms for the (global) minimum cut problem, the balanced graph partitioning problem and the multiterminal cut problem. ...
There is a multitude of cut or partitioning problems that have been the focus of research for multiple decades. ...
A variant of the minimum cut
problem is the problem of finding all global minimum cuts in a graph.
The minimum cut problem has applications in many fields. ...
arXiv:2108.04566v1
fatcat:4tpyybkhsvg6toiuxkvdvychqu
Selective Routing Problem with Synchronization
2021
Computers & Operations Research
The problem must also find a sequence of configurations for the bars in each band to maximize the total priority of the selection, subject to some synchronization issues and the time limitation. ...
One of them is a set-partitioning model where a master problem manages the synchronization constraints and a subproblem generates columns satisfying the time limitation. ...
Acknowledgements The authors thank Prof. Francisco Garzón López at the "Instituto de Astrofísica de Canarias" for posing and describing this optimization problem. ...
doi:10.1016/j.cor.2021.105465
fatcat:6sqdkwda4zdv5pn24z67ajixeu
Entropy-Based Framework for Dynamic Coverage and Clustering Problems
2012
IEEE Transactions on Automatic Control
In particular, we define the problem of minimizing instantaneous coverage as a combinatorial optimization problem in a Maximum Entropy Principle (MEP) framework that we formulate specifically for the dynamic ...
We propose a computationally efficient framework to solve a large class of dynamic coverage and clustering problems, ranging from those that arise from deployment of mobile sensor networks to classification ...
that continuously cover a set of mobile sites in a region. ...
doi:10.1109/tac.2011.2166713
fatcat:465q3hzkczb3bpl6qouzaptkxa
Evolutionary-Based Hybrid Optimizer Applicable to Large-Scale Design Problems
2013
Journal of Computational Science and Technology
Third point is the application to practical problems. ...
order to employ practical engineering applications. ...
Acknowledgment The present study was supported in part by the Ministry of Education, Science, Sports and Culture of Japan through a Grants-in-Aid for Young Scientists (B) 22077155, 2010. ...
doi:10.1299/jcst.7.28
fatcat:5gqwlzksavdoxd34ae7264ivcm
Incremental Treatments of the Full Configuration Interaction Problem
[article]
2020
arXiv
pre-print
A selected few of the most recent applications of MBE-FCI are revisited, before we close by outlining its future research directions as well as its place among modern near-exact wave function-based methods ...
Besides providing a succinct summary of the history of MBE-FCI to date within a generalized and unified theoretical setting, its finer algorithmic details are discussed alongside our optimized computational ...
Applications Having covered its theoretical basis, we will now review a selected few of the molecular systems for which MBE-FCI has been applied to date. ...
arXiv:2012.07371v1
fatcat:yychhqdjmbht7fphqx5ieumwiy
Incremental treatments of the full configuration interaction problem
2021
Wiley Interdisciplinary Reviews. Computational Molecular Science
A selected few of the most recent applications of MBE-FCI are revisited, before we close by outlining its future research directions as well as its place among modern near-exact wave function-based methods ...
Besides providing a succinct summary of the history of MBE-FCI to date within a generalized and unified theoretical setting, its finer algorithmic details are discussed alongside our optimized computational ...
ACKNOWLEDGMENTS The authors wish to thank Cyrus Umrigar of Cornell University for fruitful discussions and for sharing part of the data behind Figure 5 . Janus J. ...
doi:10.1002/wcms.1525
fatcat:oegpeigwrzcnnescgmbrrhhr24
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