Search Results for author: Paul Spirakis

Found 2 papers, 0 papers with code

An extension of the Moran process using type-specific connection graphs

no code implementations19 Oct 2017 Themistoklis Melissourgos, Sotiris Nikoletseas, Christoforos Raptopoulos, Paul Spirakis

In this paper, we introduce and study a generalization of the model of Lieberman et al. by assuming that different types of individuals perceive the population through different graphs, namely $G_R(V, E_R)$ for residents and $G_M(V, E_M)$ for mutants.

Learning Powers of Poisson Binomial Distributions

no code implementations18 Jul 2017 Dimitris Fotakis, Vasilis Kontonis, Piotr Krysta, Paul Spirakis

The $k$'th power of this distribution, for $k$ in a range $[m]$, is the distribution of $P_k = \sum_{i=1}^n X_i^{(k)}$, where each Bernoulli random variable $X_i^{(k)}$ has $\mathbb{E}[X_i^{(k)}] = (p_i)^k$.

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