3 problems

Let $(x_k)$ be the iterates generated by the mini-batch stochastic approximation framework under the hypotheses stated in Remark 12 of Bolte and Pauwels (2021), with definable pote…

Let $f:cmathbb{R}ctocmathbb{R}$ be convex and of class $C^h(cmathbb{R})$ for an even integer $h>0$, with unique minimizer $x^*$, satisfying $\lim_{x\to x^*}f^{(k)}(x)=0$ for…

Convergence to equilibrium. For any WARM with $\alpha>1$, there exists a random vector $\vec{X}=(X_1,\dots,X_n)$, supported on the set of linearly-stable and critical equilibria, s…