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Can online vector balancing in the Spencer setting achieve the optimal order of prefix discrepancy with an efficient algorithm?
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The compactly supported Metropolis fixed-point walk at the heart of the algorithm was proposed by ChatGPT-5.6 Pro; the authors manually checked and rewrote the proof. The result also extends the offline Beck-Fiala bound to sparsity $d \ge \log(T)^{1+o(1)}$.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Author-rewritten and checked arXiv preprint. Not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
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Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.