المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/journal_contribution/Additional_experiments_and_proofs_/25280165

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.s001
https://figshare.com/articles/journal_contribution/Additional_experiments_and_proofs_/25280165

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/journal_contribution/Additional_experiments_and_proofs_/25280165

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.s001

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Qualitatively_demonstrating_the_stability_of_the_functional_form_for_increasing_i_i_Standardized_PDF_in_Eq_11_visualized_for_6_years_1_year_per_row_a_Left_i_i_1_min_to_1000_min_and_b_Right_i_i_1000_min_to_30000_min_/25280171

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g002
https://figshare.com/articles/figure/Qualitatively_demonstrating_the_stability_of_the_functional_form_for_increasing_i_i_Standardized_PDF_in_Eq_11_visualized_for_6_years_1_year_per_row_a_Left_i_i_1_min_to_1000_min_and_b_Right_i_i_1000_min_to_30000_min_/25280171

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Fig_1_-/25280168

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g001
https://figshare.com/articles/figure/Fig_1_-/25280168

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Pairwise_KL_divergence_between_standardized_partial_correlation_PDFs_for_6_years_of_analysis_Dark_blocks_along_the_major_diagonal_circumscribed_in_blue_indicate_that_when_the_invariance_is_visually_observed_1000_i_i_30000_the_pairwise_KL_di/25280174

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g003
https://figshare.com/articles/figure/Pairwise_KL_divergence_between_standardized_partial_correlation_PDFs_for_6_years_of_analysis_Dark_blocks_along_the_major_diagonal_circumscribed_in_blue_indicate_that_when_the_invariance_is_visually_observed_1000_i_i_30000_the_pairwise_KL_di/25280174

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Leptokurtic-to-platykurtic_kurtoses_transition_in_the_correlation_PDFs_as_the_scaling_shaded_cyan_takes_effect_The_higher_values_of_kurtosis_for_smaller_i_i_indicate_sharper_peaks_in_the_correlation_PDFs_compared_to_a_normal_distribution_le/25280180

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g005
https://figshare.com/articles/figure/Leptokurtic-to-platykurtic_kurtoses_transition_in_the_correlation_PDFs_as_the_scaling_shaded_cyan_takes_effect_The_higher_values_of_kurtosis_for_smaller_i_i_indicate_sharper_peaks_in_the_correlation_PDFs_compared_to_a_normal_distribution_le/25280180

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/MSTs_of_the_multi-factor_models_The_sector_for_each_stock_node_is_indicated_by_its_color_/25280192

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g009
https://figshare.com/articles/figure/MSTs_of_the_multi-factor_models_The_sector_for_each_stock_node_is_indicated_by_its_color_/25280192

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/MSTs_with_left_i_i_1_min_and_right_i_i_1000_min_in_2004_The_starting_and_end_dates_are_Jan_1st_and_Dec_31st_respectively_/25280189

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g008
https://figshare.com/articles/figure/MSTs_with_left_i_i_1_min_and_right_i_i_1000_min_in_2004_The_starting_and_end_dates_are_Jan_1st_and_Dec_31st_respectively_/25280189

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Capturing_the_onset_of_function_invariance_by_fitting_2-mode_GMM_onto_the_standardized_partial_correlation_PDFs_Across_6_years_of_analysis_we_plot_the_weights_of_the_2_GMM_components_after_fitting_to_for_different_i_i_/25280177

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g004
https://figshare.com/articles/figure/Capturing_the_onset_of_function_invariance_by_fitting_2-mode_GMM_onto_the_standardized_partial_correlation_PDFs_Across_6_years_of_analysis_we_plot_the_weights_of_the_2_GMM_components_after_fitting_to_for_different_i_i_/25280177

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Dependence_of_the_scaling_factor_i_b_i_i_i_on_i_i_a_from_2004_to_2011_and_b_from_2012_to_2020_/25280183

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g006
https://figshare.com/articles/figure/Dependence_of_the_scaling_factor_i_b_i_i_i_on_i_i_a_from_2004_to_2011_and_b_from_2012_to_2020_/25280183

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Minimum_Spanning_Trees_MSTs_obtained_from_the_modified_Vicsek_generative_model_with_varying_i_i_values_We_generated_MSTs_using_the_modified_Vicsek_generative_model_with_different_values_of_i_i_a_i_i_0_010_b_i_i_1_0_and_c_i_i_100_0_/25280198

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g011
https://figshare.com/articles/figure/Minimum_Spanning_Trees_MSTs_obtained_from_the_modified_Vicsek_generative_model_with_varying_i_i_values_We_generated_MSTs_using_the_modified_Vicsek_generative_model_with_different_values_of_i_i_a_i_i_0_010_b_i_i_1_0_and_c_i_i_100_0_/25280198

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Model_architecture_search_Training_and_validation_MSE_The_MSE_CI_i_i_between_folds_is_reported_as_a_measure-of-fit_of_every_model_for_each_year_for_i_i_i_b_i_i_i_samples_within_the_identified_i_i_regime_/25280186

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g007
https://figshare.com/articles/figure/Model_architecture_search_Training_and_validation_MSE_The_MSE_CI_i_i_between_folds_is_reported_as_a_measure-of-fit_of_every_model_for_each_year_for_i_i_i_b_i_i_i_samples_within_the_identified_i_i_regime_/25280186

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/PDFs_for_multi-factor_models_a_PDF_in_Eq_10_of_the_multi-factor_model_b_Standardized_PDF_in_Eq_11_/25280195

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g010
https://figshare.com/articles/figure/PDFs_for_multi-factor_models_a_PDF_in_Eq_10_of_the_multi-factor_model_b_Standardized_PDF_in_Eq_11_/25280195

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Standardized_PDF_for_the_Vicsek_model_a_Standardized_PDF_in_Eq_11_of_the_modified_Vicsek_model_Note_that_the_subscript_is_changed_from_i_i_to_i_i_/25280201

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g012
https://figshare.com/articles/figure/Standardized_PDF_for_the_Vicsek_model_a_Standardized_PDF_in_Eq_11_of_the_modified_Vicsek_model_Note_that_the_subscript_is_changed_from_i_i_to_i_i_/25280201

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Scaling_exponent_with_respect_to_year_Values_of_from_2004_to_2020_with_interval_i_T_i_sub_i_int_i_sub_1_year_/25280207

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g014
https://figshare.com/articles/figure/Scaling_exponent_with_respect_to_year_Values_of_from_2004_to_2020_with_interval_i_T_i_sub_i_int_i_sub_1_year_/25280207

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Qualitatively_demonstrating_the_stability_of_the_functional_form_for_increasing_i_i_Standardized_PDF_in_Eq_11_visualized_for_6_years_1_year_per_row_a_Left_i_i_1_min_to_1000_min_and_b_Right_i_i_1000_min_to_30000_min_/25280171

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g002

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Capturing_the_onset_of_function_invariance_by_fitting_2-mode_GMM_onto_the_standardized_partial_correlation_PDFs_Across_6_years_of_analysis_we_plot_the_weights_of_the_2_GMM_components_after_fitting_to_for_different_i_i_/25280177

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g004

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Pairwise_KL_divergence_between_standardized_partial_correlation_PDFs_for_6_years_of_analysis_Dark_blocks_along_the_major_diagonal_circumscribed_in_blue_indicate_that_when_the_invariance_is_visually_observed_1000_i_i_30000_the_pairwise_KL_di/25280174

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g003

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/Model_architecture_search_Training_and_validation_MSE_The_MSE_CI_i_i_between_folds_is_reported_as_a_measure-of-fit_of_every_model_for_each_year_for_i_i_i_b_i_i_i_samples_within_the_identified_i_i_regime_/25280186

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g007

المؤلفون: Hideyuki Miyahara, Hai Qian, Pavan S. Holur, Vwani Roychowdhury

مصطلحات موضوعية: Biotechnology, Ecology, Sociology, Science Policy, Infectious Diseases, Environmental Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, underlying complex dynamics, stretched exponential function, simple model classes, existing generative frameworks, based vicsek model, >(<, >< sub ><, >&# 964, <, >&# 946, 2020 — values, collective return dynamics, study emergent phenomena, admits good fits, >) partial correlations, 5 months ), baseline return behavior, div >< p, tailed behavior, fits provide, emergent invariance, 5 days, return <

Relation: https://figshare.com/articles/figure/PDFs_for_multi-factor_models_a_PDF_in_Eq_10_of_the_multi-factor_model_b_Standardized_PDF_in_Eq_11_/25280195

الاتاحة: https://doi.org/10.1371/journal.pone.0298789.g010