{"id":"W1987347588","doi":"10.1002/rsa.20494","title":"The solution space geometry of random linear equations","year":2013,"lang":"en","type":"preprint","venue":"Random Structures and Algorithms","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto; National Science Foundation","keywords":"Sequence (biology); Mathematics; Sigma; Space (punctuation); Random variable; Parity (physics); Omega; Combinatorics; Cluster analysis; Discrete mathematics; Physics; Computer science; Quantum mechanics; Statistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001210373,0.0003238212,0.0007783144,0.001607067,0.001082612,0.001654509,0.0009156583,0.001019693,0.003623904],"category_scores_gemma":[0.008470372,0.0003905584,0.0005326492,0.0008735617,0.002513066,0.002523399,0.00174378,0.001246299,0.0004046749],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001510764,"about_ca_system_score_gemma":0.000628784,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001273982,"about_ca_topic_score_gemma":0.0005095216,"domain_scores_codex":[0.9986663,0.000521498,0.00005544892,0.0001924388,0.0003296169,0.0002346654],"domain_scores_gemma":[0.9959615,0.002205723,0.0006423137,0.0003378425,0.0004858318,0.0003668444],"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":[0.00008147239,0.00002054526,0.00081163,0.00005332913,0.00001896331,0.0001123833,0.0002296552,0.03597692,0.001628322,0.9554639,0.000901361,0.00470143],"study_design_scores_gemma":[0.00006264746,0.00006296859,0.0005936094,0.00002214186,0.00001220924,0.0001273178,0.0001089822,0.2872696,0.001598605,0.7083147,0.001795044,0.00003213803],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7987181,0.0007378847,0.183486,0.001968184,0.00006138343,0.0001235034,0.0003098372,0.0002279538,0.01436712],"genre_scores_gemma":[0.9865955,0.0002238424,0.01034458,0.0001288522,0.00005584751,0.00007545208,0.0001768911,0.00002552325,0.002373497],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003623904,"threshold_uncertainty_score":0.01212317,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01376655750895992,"score_gpt":0.2481226277493028,"score_spread":0.2343560702403429,"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."}}