Under an unproved irreducibility heuristic, the outputs of the proposed generator-sampling algorithm are Zariski dense in the space of generator sets of a fixed ideal, supplying a conditional geometric notion of dataset generality for transformer training.
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Geometric Generality of Transformer-Based Gr\"obner Basis Computation
Under an unproved irreducibility heuristic, the outputs of the proposed generator-sampling algorithm are Zariski dense in the space of generator sets of a fixed ideal, supplying a conditional geometric notion of dataset generality for transformer training.