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David Vesterlund

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  1. Quantum samplers fail to fill the classical repair basin: tabu search leads at 0.82–0.94 basin mass in a preregistered test

    After porting the quantum-chemistry pipeline of a generative model writing circuits, a quantum sampler drawing bitstrings, classical repair expanding them and a classical solver picking the best, to maximum weighted independent set, a preregistered held-out test returns a negative answer: tabu search reaches repair-basin mass 0.82–0.94 and simulated annealing comes second, while every quantum sampler and a matched learned classical policy trails both at every size. An earlier positive-looking result came from picking the best of 50 configurations per instance, an upper bound rather than a deployable method; under random configurations, oracle QAOA reaches only 0.014 at n=28.

  2. Discrete logarithms grok too: a 427k-parameter model memorizes first, then generalizes on prime-order groups

    A two-layer, 427k-parameter transformer shows grokking on the finite-field discrete logarithm map: after a long memorization phase it reaches 99.8% held-out accuracy at p = 113. A 12-model capacity sweep from 90k to 14.4M parameters finds grokking recurring at multiple scales, with a non-monotonic region whose outcome changes when training data increase; hidden states grow aligned with multiplicative-character structure, and prime-order and disjoint-generator controls also generalize.

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