{"id":"W1982015000","doi":"10.1016/j.tcs.2009.02.015","title":"Matrix columns allocation problems","year":2009,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"David and Lucile Packard Foundation","keywords":"Orthogonal frequency-division multiple access; Matrix (chemical analysis); Combinatorics; Mathematical proof; Transmission (telecommunications); Mathematics; Computer science; Element (criminal law); Mathematical optimization; Discrete mathematics; Orthogonal frequency-division multiplexing; Algorithm; Telecommunications; Channel (broadcasting)","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":[],"consensus_categories":[],"category_scores_codex":[0.0006902333,0.00009506024,0.0001028387,0.0000797349,0.0001350825,0.0001192117,0.0004450311,0.00003434364,0.00003658624],"category_scores_gemma":[0.00001006595,0.00008399173,0.00003059812,0.0005194169,0.0005695245,0.0001853321,0.00002879793,0.0000937647,0.0001040047],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002809111,"about_ca_system_score_gemma":0.00001205809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.365315e-7,"about_ca_topic_score_gemma":1.977908e-7,"domain_scores_codex":[0.9990743,0.00002781234,0.0001536406,0.0002078149,0.0002402283,0.000296216],"domain_scores_gemma":[0.9994972,0.00003088718,0.0000125191,0.0002923672,0.00004501938,0.0001219836],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000001553018,0.00001275612,0.000009880368,0.000007918507,0.000001420302,0.000001210046,0.0001989182,0.006986481,0.005719209,0.9782055,0.00006345103,0.00879168],"study_design_scores_gemma":[0.0001244916,0.0001426839,0.001003925,0.00003780714,0.000004182777,0.00002611847,0.000007790745,0.6743777,0.005283975,0.3184213,0.000371728,0.0001982031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.245709,0.00007562033,0.735456,0.0002247556,0.0006292261,0.0002149993,9.859846e-7,0.0005768281,0.01711255],"genre_scores_gemma":[0.9964883,0.00000292789,0.003305255,0.00008727632,0.00009265642,0.000003741169,6.559528e-7,0.000005561714,0.00001363724],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7507793,"threshold_uncertainty_score":0.3425083,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004906022925432091,"score_gpt":0.2102330130413026,"score_spread":0.2053269901158705,"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."}}