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GPT-6 Astra discussions yield optimal regret bound for online inverse linear optimization

A researcher says that after extensive discussions with GPT-6 Astra, they closed the regret gap for online inverse linear optimization on the d-dimensional unit ball at Θ(√d) and posted an arXiv paper.

Shinsaku Sakaue
@shinsaku_sakaueArchived 2026.09.25Originally posted 2026.09.24
GPT-6 Astra discussions yield optimal regret bound for online inverse linear optimization
Shinsaku Sakaue @shinsaku_sakaueOriginally posted 2026.09.24
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After extensive discussions with GPT-6 Astra, I've closed the regret gap in online inverse linear optimization! For utility and actions in the d-dimensional Euclidean unit ball, the optimal regret is Θ(√d). The algorithm is far from efficient, though. 🔗 https://arxiv.org/abs/2609.26978

This post quotes another post: x.com/shinsaku_sakaue/status/2100365620999245842

x.com/shinsaku_sakaue/status/2102948784720498690Archived 2026.09.25 10:11