= Karim Lounici
{c}
<Karim Lounici> develops the theoretical foundations of <statistical models> and <algorithms> for structured data. His own research page identifies this focus.https://klounici.github.io/[Author research overview]{ref}
With <Vladimir Koltchinskii>, he bounded the error of sample <covariance operators> in the <operator norm>. For a centered Gaussian vector with covariance $\Sigma$, the expected error has scale comparable to $\|\Sigma\|\max\{\sqrt{r/n},r/n\}$, where $r=(\mathbb E\|X\|)^2/\|\Sigma\|$. This effective dimension reflects the distribution's geometry rather than merely the number of recorded coordinates.<Concentration Inequalities and Moment Bounds for Sample Covariance Operators by Vladimir Koltchinskii and Karim Lounici>[Abstract, Definition1 and expectation bounds]{ref}
\Image[https://klounici.github.io/assets/pics/me.png]
{title=Karim Lounici}
{description=Portrait identified on the linked official researcher profile; photographer and licence are not asserted.}
{source=https://klounici.github.io/}
{width=220}
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