7 problems

Let $Z(\lambda)$ denote the marginal likelihood for a regularized linear regression model, with ridge, lasso, and group lasso corresponding to their respective regularizers. Quasic…

A Simpson dataset is a $2\times 2\times 2$ dataset exhibiting Simpson's paradox; a pathological regularization regime is a set of regularization parameters for which the trend obta…

Let $(X,\omega)$ be a compact Kähler space, and let $\varphi$ be an $\omega$-psh function on $X$. Smooth regularization conjecture. The function $\varphi$ can be written as the poi…

Let $\rho(z,\phi)$ be the relaxed functional for an admissible pair $(z,\phi)$, and define … If $\lambda^n(C\Phi)>0$, then $z$ is not uniquely identified and may attain every value…

Let $J_{\mathfrak{D}}(1;{\rm odd},{\rm odd})$ denote the regularized double zeta values whose first argument is $1$ and whose remaining arguments are odd. Linear independence conje…

Let $a$ and $b$ be positive integers with $2a<b$, and let $u$ be a partition that is both $\operatorname{Reg}{a,b}$-valid and $\operatorname{Colreg}{a,b}$-valid. For each hook…

Let $\omega_{\mu,\varepsilon}(u)$ be the regularized Gaussian field and define its centered version by … For $-1/\mu-1/2<\operatorname{Re}(q)<2/\mu$, and for a test function…