LESFARI , Hicham

The field of Artificial Intelligence (AI) has brought a broad impact on today's society, leading to a gripping interaction between several scientific disciplines. In this respect, there has been a strong twofold interest across the literature.On the one hand, a growing trend in telecommunication networks consists in revisiting classic...

La détection d'anomalies demeure une tâche cruciale pour assurer une gestion efficace et flexible d'un réseau. Récemment, les noyaux de graphes ont connu un grand succès dans de nombreux domaines, notamment en bio-informatique et vision artificielle. Notre travail vise à étudier leur pouvoir de discrimination dans le domaine des réseaux afin de...

With the continuous growing level of dynamicity, heterogeneity, and complexity of traffic data, anomaly detection remains one of the most critical tasks to ensure an efficient and flexible management of a network. Recently, driven by their empirical success in many domains, especially bioinformatics and computer vision, graph kernels have...

We study opinion dynamics in multi-agent networks where agents hold binary opinions and are influenced by their neighbors while being biased towards one of the two opinions, called the superior opinion. The dynamics is modeled by the following process: at each round, a randomly selected agent chooses the superior opinion with some probability...

Network Function Virtualization (NFV) enables the virtualization of core-business network functions on top of a NFV infrastructure. NFV has gained an increasing attention in the telecommunication field these last few years. Virtual network functions (VNFs) can be represented by a set of virtual network function components (VNFCs). These VNFCs...

Let $\mathcal{r} ≥ 1$ be any non negative integer and let $G = (V, E)$ be any undirected graph in which a subset $D ⊆ V$ of vertices are initially infected. We consider the following process in which, at every step, each non-infected vertex with at least $\mathcal{r}$ infected neighbours becomes and an infected vertex never becomes...

Let r ≥ 1 be any non negative integer and let G = (V, E) be any undirected graph in which a subset D ⊆ V of vertices are initially infected. We consider the process in which, at every step, each non-infected vertex with at least r infected neighbours becomes infected and an infected vertex never becomes non-infected. The problem consists in...

Tenter de prévoir l'évolution de la société humaine en fonction de ses aspects fondamentaux est une question à la fois délicate et urgente pour la science. Au fil des ans, certains modèles ont été développés pour aider à cet égard. Nous présentons WorldDynamics.jl, un framework open-source qui vise à soutenir la prise de décision sur les...

The average properties of the well-known \emph{Subset Sum Problem} can be studied by the means of its randomised version, where we are given a target value $z$, random variables $X_1, \ldots, X_n$, and an error parameter $\varepsilon > 0$, and we seek a subset of the $X_i$'s whose sum approximates $z$ up to error~$\varepsilon$.In this setup, it...

The emerging 5G induces a great diversity of use cases, a multiplication of the number of connections, an increase in throughput as well as stronger constraints in terms of quality of service such as low latency and isolation of requests. To support these new constraints, Network Function Virtualization (NFV) and Software Defined Network (SDN)...

The average properties of the well-known Subset Sum Problem can be studied by the means of its randomised version, where we are given a target value $z$, random variables $X_1, \ldots, X_n$, and an error parameter $\varepsilon > 0$, and we seek a subset of the $X_i$'s whose sum approximates $z$ up to error $\varepsilon$.In this setup, it has...

In the Random Subset Sum Problem, given $n$ i.i.d. random variables $X_1, ..., X_n$, we wish to approximate any point $z \in [-1,1]$ as the sum of a suitable subset $X_{i_1(z)}, ..., X_{i_s(z)}$ of them, up to error $\varepsilon$. Despite its simple statement, this problem is of fundamental interest to both theoretical computer science and...