Author

Vera Koponen

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#artificial intelligence Preprint Aug 2026

Exponential random graph models with soft clique constraints

Let $r\geq3$ be fixed, and let $\mathbf{G}_n$ be the set of all simple graphs with vertex set $[n]=\{1,\ldots,n\}$. We consider an exponential random graph model which gives higher probability to $G \in \mathbf{G}_n$ than to $H \in \mathbf{G}_n$ if $G$ has fewer $r$-cliques than $H$. But all graphs in $\mathbf{G}_n$ ha...

Yasmin Tousinejad, Vera Koponen · 0 citations

#artificial intelligence Preprint Aug 2026

A concentration result for multilayer feedforward neural networks

There is a number $\psi$ such that for all $\varepsilon>0$ the probability that the value of the output neuron is in $[\psi - \varepsilon, \psi + \varepsilon]$ tends to 1 as $n$ tends to infinity.

Vera Koponen · 0 citations