{"id":"W1514758408","doi":"10.37236/5157","title":"Tiling Groups with Difference Sets","year":2015,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Hrvatska Zaklada za Znanost; National Natural Science Foundation of China; European Science Foundation","keywords":"Mathematics; Disjoint sets; Combinatorics; Difference set; Substitution tiling; Abelian group; Skew; Hadamard transform; Group (periodic table); Discrete mathematics; Mathematical analysis","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":[0.0002993842,0.0004109621,0.0004144078,0.0009741111,0.000964475,0.001111371,0.0004751343,0.0005842324,0.005975646],"category_scores_gemma":[0.001629061,0.0002765152,0.000599287,0.0006137693,0.001798085,0.001890394,0.001763276,0.0008504182,0.0007433713],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004939455,"about_ca_system_score_gemma":0.0002217728,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002568715,"about_ca_topic_score_gemma":0.0002158134,"domain_scores_codex":[0.9994772,0.00007213016,0.00004331949,0.0001514498,0.0001303253,0.0001255614],"domain_scores_gemma":[0.9991117,0.0003022749,0.0001896738,0.0001866273,0.00009267708,0.0001169477],"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":[0.00008810301,0.00003955987,0.001221418,0.00008928857,0.00001889099,0.0003631525,0.0005182509,0.005775786,0.01818575,0.9496692,0.0005056817,0.02352485],"study_design_scores_gemma":[0.00004431244,0.0002530235,0.0009405082,0.00003852385,0.00002943541,0.0009091495,0.0005882654,0.03320645,0.02654969,0.9217751,0.01562663,0.00003883362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.666375,0.00075798,0.2840025,0.0003290618,0.0003903152,0.00009497072,0.0001519426,0.0002729399,0.04762537],"genre_scores_gemma":[0.9517041,0.0002644593,0.03973914,0.00008815162,0.0001243019,0.00008302921,0.0001544252,0.00005146087,0.007790862],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005975646,"threshold_uncertainty_score":0.0199905,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009063236364971758,"score_gpt":0.1919677807521649,"score_spread":0.1829045443871931,"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."}}