{"id":"W4401758534","doi":"10.1016/j.laa.2024.08.013","title":"The determinant of {±1}-matrices and oriented hypergraphs","year":2024,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001221473,0.00118274,0.0009451871,0.003356484,0.001513846,0.003689453,0.001447922,0.001547774,0.008590139],"category_scores_gemma":[0.003200566,0.0007745964,0.0007231875,0.00277428,0.003889777,0.004725334,0.00143884,0.002138663,0.001365201],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001150568,"about_ca_system_score_gemma":0.0008524732,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001769249,"about_ca_topic_score_gemma":0.001992361,"domain_scores_codex":[0.9991608,0.0002721437,0.00004058866,0.0001805268,0.0002129082,0.0001329717],"domain_scores_gemma":[0.9972073,0.001042748,0.0005545191,0.0002029462,0.0005175009,0.0004749123],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001514057,0.00002112456,0.00008983956,0.00002130422,0.000004850048,0.00003733616,0.0001621611,0.0007288596,0.0005893368,0.9940504,0.001107248,0.003172381],"study_design_scores_gemma":[0.000004490631,0.000008005163,0.0001134288,0.0000124933,0.000003858049,0.00006188203,0.00006195201,0.00569909,0.0002903692,0.992136,0.00159182,0.00001654749],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4437402,0.003997062,0.3900333,0.00464124,0.00232367,0.00008506759,0.0006159832,0.0006485249,0.153915],"genre_scores_gemma":[0.9122024,0.002273203,0.0397403,0.001139849,0.001474267,0.00008052369,0.0003545592,0.0004364848,0.04229844],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008590139,"threshold_uncertainty_score":0.02873683,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01783001958167266,"score_gpt":0.3079586897905524,"score_spread":0.2901286702088797,"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."}}