{"id":"W4408040716","doi":"10.1007/978-3-031-81824-0_11","title":"Counting Polynomials with Distinct Roots Using Subset Sum","year":2025,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Computer science; Artificial intelligence; Combinatorics; Discrete mathematics; Mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001189898,0.0006322814,0.0006783252,0.001052326,0.0005174716,0.0008975658,0.002725307,0.0002975105,0.000009880933],"category_scores_gemma":[0.00009947365,0.000517783,0.0001201028,0.001110085,0.0007621588,0.0005335762,0.001319199,0.0007569108,0.00001363593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002402391,"about_ca_system_score_gemma":0.001151693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001476358,"about_ca_topic_score_gemma":0.0001896466,"domain_scores_codex":[0.995597,0.000042193,0.0006234871,0.001820701,0.001071189,0.0008454485],"domain_scores_gemma":[0.9969854,0.0004897035,0.0004143863,0.00153111,0.0003977481,0.0001816989],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005708079,0.0001596496,0.003786406,0.0004219297,0.000128543,0.0006747218,0.001009322,0.1886749,0.002498919,0.1910437,0.0002729345,0.6112719],"study_design_scores_gemma":[0.0006237654,0.0002032944,0.0002737651,0.002350168,0.00003896207,0.0001637514,1.858633e-7,0.8327916,0.002018651,0.1589178,0.001236949,0.001381128],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00126822,0.0006080575,0.9928293,0.0003807882,0.001597708,0.0003441934,0.000008737738,0.0002392353,0.002723741],"genre_scores_gemma":[0.3462655,0.00001717305,0.6507916,0.001828637,0.0001603816,0.000007172338,0.00001011247,0.00005290873,0.0008665645],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.6441167,"threshold_uncertainty_score":0.9997274,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01730641875165437,"score_gpt":0.2410090295751252,"score_spread":0.2237026108234708,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}