{"paper":{"title":"Ranking Prompt--Plateau Correlations in Gamma-Ray Bursts with Symbolic Regression","arxiv_id":"2610.23155","primary_cat":"astro-ph.HE","submitted_at":"2026-10-16T08:53:25+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"Gamma-ray burst (GRB) correlations probe central engines, relativistic outflows, and radiation processes.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.05,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":false,"role":"background","text":"The Dainotti relation is an anticorrelation between the X-ray plateau luminosity $L_a$ and rest-frame plateau duration $T_a^{\\rm rest}$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.05,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.35,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.77,"id":"s2","own":true,"role":"method","text":"We use symbolic regression to compare it with other low-dimensional correlations in 251 GRBs with Swift-XRT plateau properties and Swift-BAT prompt-emission parameters.","hedge":{"p":0.97,"label":"asserted"},"own_p":0.94,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.94,"role_probabilities":{"gap":0.0,"method":0.77,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.23,"interpretation":0.0}},{"i":3,"p":0.99,"id":"s3","own":true,"role":"method","text":"We perform a Dainotti-guided search, in which $\\log T_a^{\\rm rest}$ is always present, and an unrestricted search over subsets of at most three variables.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.94,"main_claim_p":0.03,"quantitative":true,"quantitative_p":0.9,"role_probabilities":{"gap":0.0,"method":0.99,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"The guided search recovers the Dainotti dependence; a D'Agostini fit gives $\\log L_a=(51.92\\pm0.30)-(1.31\\pm0.09)\\log T_a^{\\rm rest}$, with intrinsic scatter $\\sigma_{\\rm int}=0.82\\pm0.05$ dex.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.11,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"result","text":"In the unrestricted ranking of 377 feature subsets, the classical Dainotti relation remains competitive, within the top $\\sim25\\%$ of the tested search spaces.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.09,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":6,"p":1.0,"id":"s6","own":true,"role":"result","text":"The highest-ranked screened expression is $\\log L_a\\approx0.855\\log L_{\\rm peak}-0.782\\log T_a^{\\rm rest}$, with RMSE $\\approx0.46$ and $R^2\\approx0.88$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.17,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":7,"p":0.99,"id":"s7","own":true,"role":"result","text":"The highest-ranked runs repeatedly reduce to this prompt--plateau structure, without retaining additional spectral, absorption, or afterglow-shape variables.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.12,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":8,"p":0.99,"id":"s8","own":true,"role":"result","text":"A direct regression gives $\\log L_a=4.718+0.776\\log L_{\\rm peak}-0.805\\log T_a^{\\rm rest}$, with $R_{\\rm P}=0.91$ for 246 bursts.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.12,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":9,"p":0.77,"id":"s9","own":true,"role":"result","text":"An errors-in-variables refit gives consistent coefficients.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.89,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.21,"result":0.77,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":10,"p":0.84,"id":"s10","own":true,"role":"result","text":"After removing shared luminosity-distance dependence, the relation retains non-negligible explanatory power ($R^2\\approx0.62$), consistent with a possible intrinsic component.","hedge":{"p":0.95,"label":"hedged_possibility"},"own_p":0.93,"main_claim_p":0.1,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.84,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.16}},{"i":11,"p":0.93,"id":"s11","own":true,"role":"result","text":"Restricted Monte Carlo null tests give $p\\approx0.01$.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.92,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.98,"role_probabilities":{"gap":0.0,"method":0.06,"result":0.93,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":12,"p":0.89,"id":"s12","own":true,"role":"interpretation","text":"Plateau luminosity therefore shows a coupled dependence on prompt luminosity and plateau duration.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.87,"main_claim_p":0.84,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.11,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.89}}]},"compiled":{"main_claim":{"p":1.0,"text":"Plateau luminosity therefore shows a coupled dependence on prompt luminosity and plateau duration.","location":"abstract s12","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe 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