A Modified Particle Swarm Optimization Technique for Finding Optimal Designs for Mixture Models
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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/2127471"], "description"=>"<p>The plot of the directional derivative of the ProjPSO-generated design confirms it is <i>D</i>-optimal design for the IC Model A.</p>", "links"=>[], "tags"=>["PSO technique", "Cocktail algorithm", "log contrast models", "PSO performance", "computer science", "Modified Particle Swarm Optimization Technique", "Mixture Models Particle Swarm Optimization", "optimization problems", "Optimal Designs", "Mixture Models"], "article_id"=>1455411, "categories"=>["Biological Sciences"], "users"=>["Weng Kee Wong", "Ray-Bing Chen", "Chien-Chih Huang", "Weichung Wang"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0124720.g002", "stats"=>{"downloads"=>6, "page_views"=>11, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_plot_of_the_directional_derivative_of_the_ProjPSO_generated_design_confirms_it_is_D_optimal_design_for_the_IC_Model_A_/1455411", "title"=>"The plot of the directional derivative of the ProjPSO-generated design confirms it is <i>D</i>-optimal design for the IC Model A.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-06-19 03:55:43"}
  • {"files"=>["https://ndownloader.figshare.com/files/2127473"], "description"=>"<p>The plot of the directional derivative of the ProjPSO-generated design confirms that </p><p></p><p></p><p></p><p><mi>ξ</mi></p><p><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi><mi>r</mi><mi>a</mi><mi>i</mi><mi>n</mi><mi>e</mi><mi>d</mi><mo>,</mo><mi>D</mi></p><mn>3</mn><p></p><p></p><p></p><p></p> is <i>D</i>-optimal design for the cubic mixture model without the 3-way interaction term on the irregular 3-simplex with <p></p><p></p><p></p><p><mo>∑</mo></p><p><mi>i</mi><mo>=</mo><mn>1</mn></p><mn>3</mn><p></p><p><mi>x</mi><mi>i</mi></p><mo>=</mo><mn>1</mn><p></p><p></p><p></p>, 0 ≤ <i>x</i><sub>1</sub> ≤ 0.5 and 0 ≤ <i>x</i><sub>2</sub>, <i>x</i><sub>3</sub> ≤ 1.<p></p>", "links"=>[], "tags"=>["PSO technique", "Cocktail algorithm", "log contrast models", "PSO performance", "computer science", "Modified Particle Swarm Optimization Technique", "Mixture Models Particle Swarm Optimization", "optimization problems", "Optimal Designs", "Mixture Models"], "article_id"=>1455413, "categories"=>["Biological Sciences"], "users"=>["Weng Kee Wong", "Ray-Bing Chen", "Chien-Chih Huang", "Weichung Wang"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0124720.g003", "stats"=>{"downloads"=>4, "page_views"=>14, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_plot_of_the_directional_derivative_of_the_ProjPSO_generated_design_confirms_that__958_c_o_n_s_t_r_a_i_n_e_d_D_3_is_D_optimal_design_for_the_cubic_mixture_model_without_the_3_way_interaction_term_on_the_irregular_3_simplex_with__8721_i_1_3_x_i_1_0_x_1/1455413", "title"=>"The plot of the directional derivative of the ProjPSO-generated design confirms that ξconstrained,D3 is <i>D</i>-optimal design for the cubic mixture model without the 3-way interaction term on the irregular 3-simplex with ∑i=13xi=1, 0 ≤ <i>x</i><sub>1</sub> ≤ 0.5 and 0 ≤ <i>x</i><sub>2</sub>, <i>x</i><sub>3</sub> ≤ 1.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-06-19 03:55:43"}
  • {"files"=>["https://ndownloader.figshare.com/files/2127457"], "description"=>"<p>Each sub-figure displays the ProjPSO-generated mixture design or the global best design <i>ξ</i><sup><i>gbest</i></sup> at a particular iteration. After 40 iterations and only 4 seconds of CPU time, ProjPSO converged to the <i>D</i>-optimal design equally supported at the vertices.</p>", "links"=>[], "tags"=>["PSO technique", "Cocktail algorithm", "log contrast models", "PSO performance", "computer science", "Modified Particle Swarm Optimization Technique", "Mixture Models Particle Swarm Optimization", "optimization problems", "Optimal Designs", "Mixture Models"], "article_id"=>1455398, "categories"=>["Biological Sciences"], "users"=>["Weng Kee Wong", "Ray-Bing Chen", "Chien-Chih Huang", "Weichung Wang"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0124720.g001", "stats"=>{"downloads"=>3, "page_views"=>15, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_movement_of_particles_in_the_ProjPSO_search_for_the_D_optimal_design_for_the_linear_additive_mixture_model_with_q_3_factors_/1455398", "title"=>"The movement of particles in the ProjPSO search for the <i>D</i>-optimal design for the linear additive mixture model with <i>q</i> = 3 factors.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-06-19 03:55:43"}
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  • {"files"=>["https://ndownloader.figshare.com/files/2127476"], "description"=>"<p>Number of support points in the generated designs from the Cocktail and Optimal Weights Exchange algorithms using different grid sizes, their relative <i>D</i>-efficiencies and CPU times for the Becker’s Model 1.</p>", "links"=>[], "tags"=>["PSO technique", "Cocktail algorithm", "log contrast models", "PSO performance", "computer science", "Modified Particle Swarm Optimization Technique", "Mixture Models Particle Swarm Optimization", "optimization problems", "Optimal Designs", "Mixture Models"], "article_id"=>1455416, "categories"=>["Biological Sciences"], "users"=>["Weng Kee Wong", "Ray-Bing Chen", "Chien-Chih Huang", "Weichung Wang"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0124720.t005", "stats"=>{"downloads"=>7, "page_views"=>23, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Number_of_support_points_in_the_generated_designs_from_the_Cocktail_and_Optimal_Weights_Exchange_algorithms_using_different_grid_sizes_their_relative_D_efficiencies_and_CPU_times_for_the_Becker_s_Model_1_/1455416", "title"=>"Number of support points in the generated designs from the Cocktail and Optimal Weights Exchange algorithms using different grid sizes, their relative <i>D</i>-efficiencies and CPU times for the Becker’s Model 1.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-06-19 03:55:43"}
  • {"files"=>["https://ndownloader.figshare.com/files/2127474"], "description"=>"<p>Number of support points in the generated designs from the Cocktail and Optimal Weights Exchange algorithms using different grid sizes, their relative <i>D</i>-efficiencies and CPU times for the model in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0124720#pone.0124720.e095\" target=\"_blank\">Eq (15)</a>.</p>", "links"=>[], "tags"=>["PSO technique", "Cocktail algorithm", "log contrast models", "PSO performance", "computer science", "Modified Particle Swarm Optimization Technique", "Mixture Models Particle Swarm Optimization", "optimization problems", "Optimal Designs", "Mixture Models"], "article_id"=>1455414, "categories"=>["Biological Sciences"], "users"=>["Weng Kee Wong", "Ray-Bing Chen", "Chien-Chih Huang", "Weichung Wang"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0124720.t003", "stats"=>{"downloads"=>7, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Number_of_support_points_in_the_generated_designs_from_the_Cocktail_and_Optimal_Weights_Exchange_algorithms_using_different_grid_sizes_their_relative_D_efficiencies_and_CPU_times_for_the_model_in_Eq_15_/1455414", "title"=>"Number of support points in the generated designs from the Cocktail and Optimal Weights Exchange algorithms using different grid sizes, their relative <i>D</i>-efficiencies and CPU times for the model in Eq (15).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-06-19 03:55:43"}

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Relative Metric

{"start_date"=>"2015-01-01T00:00:00Z", "end_date"=>"2015-12-31T00:00:00Z", "subject_areas"=>[]}
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