{"id":"W4385262785","doi":"10.22331/q-2023-07-26-1069","title":"Limitations of the Macaulay matrix approach for using the HHL algorithm to solve multivariate polynomial systems","year":2023,"lang":"en","type":"article","venue":"Quantum","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Institute for the Theory of Computing, University of California Berkeley; National Science Foundation; Government of Canada; Canadian Institute for Advanced Research; U.S. Department of Defense; Institute for Quantum Information and Matter, California Institute of Technology; Samsung","keywords":"Algorithm; Computer science; Maximum satisfiability problem; Polynomial; Boolean function; Mathematics","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":[0.00427582,0.0009220611,0.001058726,0.0013746,0.001351943,0.002603923,0.003630206,0.001633858,0.01577682],"category_scores_gemma":[0.01491529,0.0007312546,0.001029744,0.002008371,0.003019373,0.007721624,0.00267581,0.004428837,0.008450304],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002391688,"about_ca_system_score_gemma":0.00401254,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002424794,"about_ca_topic_score_gemma":0.002829647,"domain_scores_codex":[0.9942846,0.002191368,0.0002889144,0.0007314797,0.002174775,0.0003287928],"domain_scores_gemma":[0.9883354,0.006915261,0.0003430662,0.00288792,0.001305157,0.0002131313],"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":[0.0006080851,0.0002473555,0.001005605,0.001002621,0.00009238072,0.000107331,0.0004874259,0.03822258,0.01104461,0.5483367,0.0156328,0.3832124],"study_design_scores_gemma":[0.0002776712,0.000376919,0.0004184007,0.0002573146,0.00003346301,0.0003236198,0.000287005,0.5940827,0.02444454,0.3302944,0.04906108,0.0001427743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02727421,0.003327809,0.9309969,0.007447825,0.0002590044,0.0002807206,0.0001707404,0.003436754,0.02680608],"genre_scores_gemma":[0.3303708,0.003412532,0.6524184,0.001532746,0.0004426395,0.0006463668,0.0003070361,0.0007330983,0.01013629],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01577682,"threshold_uncertainty_score":0.05277872,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1040664661498908,"score_gpt":0.3040337778749314,"score_spread":0.1999673117250406,"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."}}