Three-way clustering of multi-tissue multi-individual gene expression data using semi-nonnegative tensor decomposition

Multi-objective optimization for clustering 3-way gene expression data

The microarray technology allows to monitor the expression level of thousands of genes simultaneously. A typical experiment will for example compare gene expression between multiple biological samples such as tumor biopsies, or a single sample in response to a treatment over time. It is assumed that genes with similar function or sharing regulatory elements will display a common expression prof...

Multi-way Clustering Using Super-Symmetric Non-negative Tensor Factorization

We consider the problem of clustering data into k ≥ 2 clusters given complex relations — going beyond pairwise — between the data points. The complex n-wise relations are modeled by an n-way array where each entry corresponds to an affinity measure over an ntuple of data points. We show that a probabilistic assignment of data points to clusters is equivalent, under mild conditional independence...

HDTD: analyzing multi-tissue gene expression data

MOTIVATION By collecting multiple samples per subject, researchers can characterize intra-subject variation using physiologically relevant measurements such as gene expression profiling. This can yield important insights into fundamental biological questions ranging from cell type identity to tumour development. For each subject, the data measurements can be written as a matrix with the differe...

Nonnegative Matrix and Tensor Factorizations - Applications to Exploratory Multi-way Data Analysis and Blind Source Separation

Multi-document Summarization using Tensor Decomposition

The problem of extractive text summarization for a collection of documents is defined as selecting a small subset of sentences so the contents and meaning of the original document set are preserved in the best possible way. In this paper we present a new model for the problem of extractive summarization, where we strive to obtain a summary that preserves the information coverage as much as poss...