7 problems

Conjecture. The step size controller in Definition satisfies the assumptions of the authors' convergence result.

Apparent-bias conjecture. The observed apparent-bias phenomenon for AMS could be explained by analogy with the corresponding studies for fixed multilevel splitting.

Let AEGD be the adaptive gradient descent method with basestep size $\eta$, and let $r_k$ denote its associated sequence. In the numerical experiments described, there appears to b…

Let $W$ be a Brownian motion, and consider the scalar SDE from Theorem 1 with drift coefficient $\mu$ and diffusion coefficient $\sigma$. Assume that $\mu$ satisfies $(\mu1)$ and…

Consider an adaptive iterative linearized finite element method with a PCG solver parameter $\lambda_{PCG}$ and a Zarantonello linearization parameter $\lambda$. PCG-parameter conj…

Let $D_x$, $D_H$, $obreaktextstyle n$, $obreaktextstylekappa$, and $obreaktextstylemu$ denote the problem-dependent quantities and condition parameter used in the complexity bou…

Let $n$ items contain $d=\delta n$ defective items, where $\delta>0$, and consider adaptive combinatorial group testing under a zero-error criterion. Require the worst-case, rather…