{"id":"W2521876311","doi":"10.46298/dmtcs.2463","title":"Walks in the Quarter Plane with Multiple Steps","year":2015,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Austrian Science Fund","keywords":"Mathematics; Combinatorics; Nearest neighbour; Quarter (Canadian coin); Cover (algebra); Humanities; Plane (geometry); Geometry; Geography; Art; Artificial intelligence","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002121433,0.0002677122,0.000406458,0.0007894126,0.0006767465,0.001123377,0.0005949872,0.0006513154,0.003258399],"category_scores_gemma":[0.001045952,0.0002063249,0.0006311905,0.0006350829,0.0008352307,0.00131878,0.0005336928,0.0005854997,0.0003875629],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005081769,"about_ca_system_score_gemma":0.0002869958,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00183449,"about_ca_topic_score_gemma":0.001387437,"domain_scores_codex":[0.9998141,0.00003250995,0.00001071386,0.00004235602,0.00004431061,0.00005595103],"domain_scores_gemma":[0.9994105,0.000174497,0.0001157308,0.000161367,0.00005697249,0.00008094814],"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":[0.0004248276,0.0001269093,0.01151437,0.0001073003,0.00004136484,0.0006751318,0.0005282036,0.1178171,0.02023938,0.8198931,0.001777952,0.02685435],"study_design_scores_gemma":[0.00004334737,0.0001062303,0.003372849,0.00002976872,0.00001496998,0.0005694191,0.0002927213,0.4731001,0.004845916,0.5125428,0.005043156,0.00003870152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9364893,0.0001933407,0.05191927,0.0001737976,0.00002713691,0.00001675207,0.0001506331,0.0001105853,0.01091926],"genre_scores_gemma":[0.987233,0.0001319335,0.009692888,0.00003594369,0.000009918622,0.00001796973,0.0001689871,0.00002190774,0.002687526],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003258399,"threshold_uncertainty_score":0.01090044,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01317334021498557,"score_gpt":0.2220642555682592,"score_spread":0.2088909153532736,"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."}}