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A robust evolutionary framework for multi-objective optimization

Kalyanmoy Deb
<span title="">2008</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fdhfwmjdwjbvxo6zc7cdt5hi7q" style="color: black;">Proceedings of the 10th annual conference on Genetic and evolutionary computation - GECCO &#39;08</a> </i> &nbsp;
We argue that such a functionally decomposed and modular implementation of NSGA-II is probably the reason for it's popularity and robustness in solving various types of multi-objective optimization problems  ...  NSGA-II follows three independent principles -domination principle, diversity preservation principle and elite preserving principle -which make NSGA-II a flexible and robust EMO procedure in the sense  ...  Clustered NSGA-II In this approach, the crowding distance operator of NSGA-II is replaced with a K-mean clustering approach [10] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1389095.1389223">doi:10.1145/1389095.1389223</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/gecco/Deb08.html">dblp:conf/gecco/Deb08</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tm4ornflezayhhn4axspsqwwg4">fatcat:tm4ornflezayhhn4axspsqwwg4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808203900/http://www.cs.bham.ac.uk/~wbl/biblio/gecco2008/docs/p633.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e4/1d/e41d5d04f396520d06e940cd62b9a2bf97c16180.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1389095.1389223"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Constrained Multiobjective Equilibrium Optimizer Algorithm for Solving Combined Economic Emission Dispatch Problem

M. A. El-Shorbagy, A. A. Mousa, Baogui Xin
<span title="2021-01-15">2021</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/y3fh56bfunh5fgneywwba6d4ke" style="color: black;">Complexity</a> </i> &nbsp;
In order to save the effort for the decision-maker to select the best compromise alternative, a cluster study was carried out to minimize the size of the Pareto boundary to an acceptable size, representing  ...  The proposed algorithm is applied to solve the standard 30-bus IEEE system with 6 generators to validate its robustness and efficiency to produce a well-distributed Pareto frontier for constrained combined  ...  Cluster analysis was implemented to decrease the size of the Pareto frontier to a reasonable size that reflects all the characteristics of the original Pareto frontier.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2021/6672131">doi:10.1155/2021/6672131</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dcokxg23ircoxeilrgim6xnyzu">fatcat:dcokxg23ircoxeilrgim6xnyzu</a> </span>
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Continuous Monitoring of Pareto Frontiers on Partially Ordered Attributes for Many Users [article]

Afroza Sultana, Chengkai Li
<span title="2017-10-13">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
An object is preferred by a user if it belongs to the Pareto frontier with respect to the user's partial orders. Users' preferences can be similar.  ...  Many real world applications analyze users' preferences for effective object dissemination. For continuously arriving objects, timely finding users who prefer a new object is challenging.  ...  Acknowledgement We would like to thank Fatma Arslan for her contribution in data collection.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1709.08312v2">arXiv:1709.08312v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vge3yuoj6zhmrivfnij4vh3ssq">fatcat:vge3yuoj6zhmrivfnij4vh3ssq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200725223356/https://arxiv.org/pdf/1709.08312v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/63/7d/637d3bb3cceba13c73ef9ecdfe0fda8741d1cef4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1709.08312v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

A Comparison of Methods for Selecting Preferred Solutions in Multiobjective Decision Making [chapter]

Enrico Zio, Roberta Bazzo
<span title="">2012</span> <i title="Atlantis Press"> Atlantis Computational Intelligence Systems </i> &nbsp;
In multiobjective optimization problems, the identified Pareto Frontiers and Sets often contain too many solutions, which make it difficult for the decision maker to select a preferred alternative.  ...  representation of the solutions on the Pareto Frontier, so as to offer to the decision maker a manageable picture of the solution alternatives.  ...  The cluster radius r a is chosen to maximize the quality of the resulting Pareto Frontier partition measured in terms of the silhouette value [15, 16] ; for any cluster partition of the Pareto Frontier  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2991/978-94-91216-77-0_2">doi:10.2991/978-94-91216-77-0_2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jrcetmed5zdrlntxlilisvr4ue">fatcat:jrcetmed5zdrlntxlilisvr4ue</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170813072551/http://www.beck-shop.de/fachbuch/leseprobe/9789491216763_Excerpt_001.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a2/db/a2db769c016a25a0463ed8b698545560f97838ff.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2991/978-94-91216-77-0_2"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Multi-Objective Multi-View Spectral Clustering via Pareto Optimization [chapter]

Xiang Wang, Buyue Qian, Jieping Ye, Ian Davidson
<span title="2013-05-02">2013</span> <i title="Society for Industrial and Applied Mathematics"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/viwc2ys5x5a47ogpdlftfzj5fm" style="color: black;">Proceedings of the 2013 SIAM International Conference on Data Mining</a> </i> &nbsp;
The Pareto frontier captures all possible good cuts without requiring the users to set the "correct" parameter.  ...  Traditionally, spectral clustering is limited to a single objective: finding the normalized min-cut of a single graph.  ...  The authors thank Professor Owen Carmichael from Department of Neurology at UC Davis and UC Davis Alzheimer's Disease Center for providing the fMRI dataset.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/1.9781611972832.26">doi:10.1137/1.9781611972832.26</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/sdm/DavidsonQWY13.html">dblp:conf/sdm/DavidsonQWY13</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3ak6v7zkqzenfms5yafq5hicga">fatcat:3ak6v7zkqzenfms5yafq5hicga</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200321000938/http://www2.cs.uh.edu/~ceick/DM/P4_DM4.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e4/77/e477fa621e43886a781f145c0a84b4a023708312.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/1.9781611972832.26"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

A Multiobjective Approach for the Heuristic Optimization of Compactness and Homogeneity in the Optimal Zoning

B. Bernábe-Loranca, C. A. Coello-Coello, M. Osorio-Lama
<span title="2012-06-01">2012</span> <i title="Universidad Nacional Autonoma de Mexico"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5l4auzupljejra6miwn2rvouhq" style="color: black;">Journal of Applied Research and Technology</a> </i> &nbsp;
The results obtained by our proposed approach constitute good solutions and are generated in a reasonably low computational time.  ...  This paper presents a multiobjective methodology for optimal zoning design (OZ), based on the grouping of geographic data with characteristics of territorial aggregation.  ...  Pareto frontier for NODOM (test 1, example1). Figure 3 . 3 Figure 3. Pareto Frontier for NODOM (test 2, example 1). Figure 4 . 4 Figure 4. Pareto frontier for Non-comparable (test 2, example 1.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.22201/icat.16656423.2012.10.3.405">doi:10.22201/icat.16656423.2012.10.3.405</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3auaig35pvgbddwue4ple7zxti">fatcat:3auaig35pvgbddwue4ple7zxti</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808083551/http://www.scielo.org.mx/pdf/jart/v10n3/v10n3a13.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/da/57/da57bcd762fb4eff3bf9ff315ddd2eec33d952f8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.22201/icat.16656423.2012.10.3.405"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Bottom-up approaches to achieve Pareto optimal agreements in group decision making

Victor Sanchez-Anguix, Reyhan Aydoğan, Tim Baarslag, Catholijn Jonker
<span title="2019-01-08">2019</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/eiwbm5rd75c6rd44ak254zrpdy" style="color: black;">Knowledge and Information Systems</a> </i> &nbsp;
First, we prove that an outcome that is Pareto optimal for subgroups is also Pareto optimal for the group as a whole.  ...  In this article, we introduce a new paradigm to achieve Pareto optimality in group decisionmaking processes: bottom-up approaches to Pareto optimality.  ...  We would like to thank the anonymous reviewers for their useful comments.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10115-018-01325-y">doi:10.1007/s10115-018-01325-y</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/64ozwytjszgm3mks4luplgcmde">fatcat:64ozwytjszgm3mks4luplgcmde</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200306045149/https://ir.cwi.nl/pub/28417/Sanchez-Anguix2019_Article_Bottom-upApproachesToAchievePa.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/1b/b4/1bb471019f67748c9b3a3ceedc3ab1c25fb17fe8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10115-018-01325-y"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

An extended study on multi-objective security games

Matthew Brown, Bo An, Christopher Kiekintveld, Fernando Ordóñez, Milind Tambe
<span title="2012-11-11">2012</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7rdrzlhoxjb5ho2u76erh6zpni" style="color: black;">Autonomous Agents and Multi-Agent Systems</a> </i> &nbsp;
Instead of a single optimal solution, MOSGs have a set of Pareto optimal (non-dominated) solutions referred to as the Pareto frontier, which can be generated by solving a sequence of constrained single-objective  ...  Our contributions include: (i) an algorithm, Iterative--Constraints, for generating the sequence of CSOPs; (ii) an exact approach for solving an mixed-integer linear program (MILP) formulation of a CSOP  ...  Acknowledgments This research was supported by the United States Department of Homeland Security through the National Center for Border Security and Immigration (NCBSI). F.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10458-012-9209-6">doi:10.1007/s10458-012-9209-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/s37fhbueofgxzlfmnfftfdg4eu">fatcat:s37fhbueofgxzlfmnfftfdg4eu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809160428/http://www.ntu.edu.sg/home/boan/papers/JAAMASMultiJournal.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0f/52/0f5207d4b27f8440fa66efc303f659ae2f83e4bb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10458-012-9209-6"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

The New Hybrid COAW Method for Solving Multi-Objective Problems

Zeinab Borhanifar, Elham Shadkam
<span title="2015-11-30">2015</span> <i title="Academy and Industry Research Collaboration Center (AIRCC)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dt5ilzzdtvf2nkteha45wsrbl4" style="color: black;">International Journal in Foundations of Computer Science &amp; Technology</a> </i> &nbsp;
This method has a high speed in finding the Pareto frontiers and identifies the beginning and end points of Pareto frontiers properly.  ...  Cuckoo algorithm is an efficient and structured method for solving nonlinear continuous problems. The created Pareto frontiers of the COAW proposed algorithm are exact and have good dispersion.  ...  frontiers created by COAW for the first problem Pareto frontiers created by: (a) Ranking method (b) DEA method (c) GDEA Method for second problem 6.3.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5121/ijfcst.2015.5602">doi:10.5121/ijfcst.2015.5602</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vvznrr3mljet7o6o6r652275ra">fatcat:vvznrr3mljet7o6o6r652275ra</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191015121044/https://arxiv.org/pdf/1611.00577v1.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e0/b4/e0b4ce603f52d91ceda9e9cc84029862515a2d9a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5121/ijfcst.2015.5602"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

On finding multiple Pareto-optimal solutions using classical and evolutionary generating methods

Pradyumn Kumar Shukla, Kalyanmoy Deb
<span title="">2007</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2fqqu5s6wbgk5gcucpt3wqm3gy" style="color: black;">European Journal of Operational Research</a> </i> &nbsp;
On visual comparisons of the efficient frontiers obtained for a number of two and three-objective test problems, the results bring out interesting insights about the strengths and weaknesses of these approaches  ...  discussion and for its performance comparison with a state-of-the-art evolutionary method.  ...  This method also ends up finding a dominated portion of the true efficient frontier. This is not surprising because the idea of non-domination is never applied in any step of the NBI approach.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ejor.2006.08.002">doi:10.1016/j.ejor.2006.08.002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3gwl4pyri5dknlq4p4n4l7luc4">fatcat:3gwl4pyri5dknlq4p4n4l7luc4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809213929/http://www.iitk.ac.in/kangal/papers/k2005006.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8e/f9/8ef915aa28e3f282b264950e9b63bb0d51036619.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ejor.2006.08.002"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Optimising energy and overhead for large parameter space simulations [article]

Alexander J. M. Kell and Matthew Forshaw and A. Stephen McGough
<span title="2019-10-06">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This work is an application of a Genetic Algorithm to identify the Pareto frontier for finding the optimal parameter sets for all combinations of objectives.  ...  A Pareto frontier can be used to identify the sets of optimal parameters for which each is the 'best' for a given combination of objectives -- thus allowing decisions to be made with full knowledge.  ...  RESULTS We first evaluate if the NSGA-II approach will lead to a Pareto frontier for total energy consumed and average overhead.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1910.02516v1">arXiv:1910.02516v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/eshtszqknjcnvcohovhkia5e7y">fatcat:eshtszqknjcnvcohovhkia5e7y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200830222145/https://arxiv.org/pdf/1910.02516v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/cc/46/cc46dc05a3d8608f5a0c3a857983f70834d3aee8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1910.02516v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Self-organizing maps for multi-objective pareto frontiers

Shahar Chen, David Amid, Ofer M. Shir, Lior Limonad, David Boaz, Ateret Anaby-Tavor, Tobias Schreck
<span title="">2013</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/553mn3ftxzcw3dqndtflgqwduq" style="color: black;">2013 IEEE Pacific Visualization Symposium (PacificVis)</a> </i> &nbsp;
We propose a characterization of the Pareto Frontier data and the tasks decision makers face as they reach their decisions.  ...  Visualizing a Pareto Frontier, the optimal set of solutions to a multi-objective problem, is considered a difficult task when the problem at hand spans more than three objective functions.  ...  The aim of Pareto optimization is thus to obtain the non-dominated set for the given objective functions, called the Pareto Frontier, and its pre-image in the design space, called the Pareto optimal set  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/pacificvis.2013.6596140">doi:10.1109/pacificvis.2013.6596140</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/apvis/ChenASLBAS13.html">dblp:conf/apvis/ChenASLBAS13</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/knrpoyagcnc7pdh4ctmq2vul4i">fatcat:knrpoyagcnc7pdh4ctmq2vul4i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20130627043602/http://researcher.watson.ibm.com/researcher/files/il-DAVIDBO/SOMMOS-pacificvis2013.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e3/02/e3026a84bb5f37b5f7f3f146aef8073a24877e68.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/pacificvis.2013.6596140"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Pareto-Optimal Clustering with the Primal Deterministic Information Bottleneck

Andrew K. Tan, Max Tegmark, Isaac L. Chuang
<span title="2022-05-30">2022</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
We present an algorithm for mapping out the Pareto frontier of the primal DIB trade-off that is also applicable to other two-objective clustering problems.  ...  We study general properties of the Pareto frontier, and we give both analytic and numerical evidence for logarithmic sparsity of the frontier in general.  ...  Acknowledgments: We thank Ian Fischer for helpful discussions. We would also like to thank the anonymous reviewers for helpful clarifications and suggestions for future work.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e24060771">doi:10.3390/e24060771</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/35741492">pmid:35741492</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gezn4juidrfg7f5ozwzzt47xp4">fatcat:gezn4juidrfg7f5ozwzzt47xp4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220619004907/https://mdpi-res.com/d_attachment/entropy/entropy-24-00771/article_deploy/entropy-24-00771-v2.pdf?version=1654155958" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/df/79/df790734a6c6cb5bb90219d8a02774c2cec1b1b0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e24060771"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Socio-Spatial Pareto Frontiers of Twitter Networks [article]

Brandon Oselio, Alex Kulesza, Alfred Hero
<span title="2015-06-30">2015</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In this paper we review a method to perform community detection of multilayer networks, and illustrate its use as a visualization tool for analyzing different community partitions.  ...  Social media provides a rich source of networked data. This data is represented by a set of nodes and a set of relations (edges).  ...  Prior work has analyzed two-community networks using Pareto frontiers [1] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1506.08916v1">arXiv:1506.08916v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6vvajemb4nhvhd23agzbrnmtli">fatcat:6vvajemb4nhvhd23agzbrnmtli</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200914140519/https://arxiv.org/pdf/1506.08916v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/23/4d/234de5030784cfb28babb1ca891c204e1e9806fc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1506.08916v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Multiobjective Optimization of Turning Cutting Parameters for J-Steel Material

Adel T. Abbas, Karim Hamza, Mohamed F. Aly, Essam A. Al-Bahkali
<span title="">2016</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nazmmg5rvjamleddfnihvz3cai" style="color: black;">Advances in Materials Science and Engineering</a> </i> &nbsp;
An alternative approach for identifying the trade-off frontier was also tested via multiobjective implementation of the Efficient Global Optimization (m-EGO) algorithm.  ...  Thorough exploration of the range of cutting parameters was conducted via a five-level full-factorial experimental matrix of samples and the Pareto trade-off frontier is identified.  ...  (iv) m-EGO approach achieved a higher density of Pareto points (more alternative choices) within the knee-cap zone of the Pareto frontier, which is the primary area of interest for making trade-off decisions  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2016/6429160">doi:10.1155/2016/6429160</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2tu3sxwedrgxtd6tl5otw2uthu">fatcat:2tu3sxwedrgxtd6tl5otw2uthu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190309002234/http://pdfs.semanticscholar.org/fba9/954ad62efd9e16edd8f77db887296edb0392.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/fb/a9/fba9954ad62efd9e16edd8f77db887296edb0392.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2016/6429160"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>
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