4 problems

Let $G_{\mathrm{data}} \subseteq G$ act on $M$, and let $\Gamma$ be a continuous boundary whose symmetry group contains $G_{\mathrm{data}}$. For a target precision $\varepsilon>0$,…

Let $H_x$ be the distribution function associated with the predictor value $x\in\mathcal{X}$, and suppose that $H_x$ is continuous for every $x$. Let $m$ satisfy the generalized Li…

Let $X_{0}$ and $X_{1}$ be two sets of points in the Cartesian plane. Assume that no two line segments determined by four distinct points, with exactly two points from one set, int…

Let $f$ be a prediction function and let a parametric post-hoc calibration method produce a calibrated output from $f$, with the output depending continuously on $f$. Continuous pa…