{"id":"W3005154404","doi":"10.1007/s00041-021-09818-1","title":"Decomposing the Wavelet Representation for Shifts by Wallpaper Groups","year":2021,"lang":"en","type":"preprint","venue":"Journal of Fourier Analysis and Applications","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Wavelet; Representation (politics); Group (periodic table); Mathematics; Irreducible representation; Decomposition; Wavelet transform; Group representation; Symmetry (geometry); Pure mathematics; Algebra over a field; Computer science; Artificial intelligence; Physics; Geometry; Chemistry; Political science; Law","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":[0.0009016671,0.001192935,0.0008639037,0.002736533,0.0006572405,0.002308621,0.0007731767,0.001317666,0.01137091],"category_scores_gemma":[0.0024094,0.0003109121,0.0008924081,0.001362314,0.001638692,0.003358662,0.001528021,0.001675364,0.002407893],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004190011,"about_ca_system_score_gemma":0.0004790156,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003682144,"about_ca_topic_score_gemma":0.0002579813,"domain_scores_codex":[0.999506,0.0001314505,0.00002959243,0.00008433555,0.0001558704,0.00009279823],"domain_scores_gemma":[0.9992123,0.000193621,0.0001423084,0.0001584442,0.0001535284,0.0001397828],"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":[0.00008026046,0.00005232549,0.0001826245,0.00005822208,0.00001830865,0.0001724555,0.0002381898,0.002830099,0.008929195,0.950731,0.001851809,0.03485541],"study_design_scores_gemma":[0.00001728094,0.00007898956,0.0003677725,0.00003060604,0.0000141753,0.0002291233,0.000161432,0.03672552,0.00200271,0.9504285,0.009918706,0.00002532517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2325474,0.002243604,0.7066739,0.001632653,0.001767624,0.0001107932,0.0002502327,0.0003238946,0.05444997],"genre_scores_gemma":[0.7720983,0.004625237,0.125166,0.0009022554,0.002811016,0.0001838237,0.0005773708,0.0006895089,0.09294654],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01137091,"threshold_uncertainty_score":0.03803957,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05232651117711667,"score_gpt":0.3891245186163626,"score_spread":0.3367980074392459,"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."}}