MathDB4 problems
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Asymptotic form conjecture for the root of the adjusted expected improvement equation
Asymptotic root-form conjecture. The solution takes the form
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Srinivas et al.'s conjecture on GP-UCB regret bounds for nowhere-differentiable processes
A Gaussian process is considered together with the GP-UCB algorithm and regret bound established by Srinivas et al. under assumptions including bounded derivatives with high probab…
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The no-new-seed conjecture for knowledge gradient with common random numbers
No-new-seed conjecture. In this setting, the true myopically optimal behaviour is never to evaluate a new seed, namely
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The Add-GP-UCB variance over-estimation conjecture
In additive Gaussian-process Bayesian optimization, infer each additive component independently rather than using the full Gaussian process with the additive kernel. The resulting…