No abstract

No abstract

International audienc

No abstract

International audienc

Spectral clustering is often carried out by combining spectral data embedding and -means clustering. However, the aims, dimensionality reduction and clustering, are usually not performed jointly. In this brief, we propose a novel approach to finding an optimal spectral embedding for identifying a partition of the set of objects; it iteratively alternates spectral embedding and clustering. In doing so, we show that our model can learn a low-dimensional representation more suited to clustering. Compared with classical spectral clustering methods, the proposed algorithm is not costly and outperforms not only these methods but also other nonnegative matrix factorization variants.

Dealing with relational learning generally relies on tools modeling relational data. An undirected graph can represent these data with vertices depicting entities and edges describing the relationships between the entities. These relationships can be well represented by multiple undirected graphs over the same set of vertices with edges arising from different graphs catching heterogeneous relations. The vertices of those networks are often structured in unknown clusters with varying properties of connectivity. These multiple graphs can be structured as a three-way tensor, where each slice of tensor depicts a graph which is represented by a count data matrix. To extract relevant clusters, we propose an appropriate model-based co-clustering capable of dealing with multiple graphs. The proposed model can be seen as a suitable tensor extension of mixture models of graphs, while the obtained co-clustering can be treated as a consensus clustering of nodes from multiple graphs. Applications on real datasets and comparisons with multi-view clustering and tensor decomposition methods show the interest of our contribution.

No abstract