Abstract

Feature selection and sample clustering play an important role in bioinformatics. Traditional feature selection methods separate sparse regression and embedding learning. Later, to effectively identify the significant features of the genomic data, Joint Embedding Learning and Sparse Regression (JELSR) is proposed. However, since there are many redundancy and noise values in genomic data, the sparseness of this method is far from enough. In this paper, we propose a strengthened version of JELSR by adding the L1-norm constraint on the regularization term based on a previous model, and call it LJELSR, to further improve the sparseness of the method. Then, we provide a new iterative algorithm to obtain the convergence solution. The experimental results show that our method achieves a state-of-the-art level both in identifying differentially expressed genes and sample clustering on different genomic data compared to previous methods. Additionally, the selected differentially expressed genes may be of great value in medical research.

Highlights

  • With the emergence of deep sequencing technologies, considerable genomic data have become available

  • To validate the effectiveness of our method, the LJELSR, Joint Embedding Learning and Sparse Regression (JELSR), ReDac, and SMART methods are run on three datasets, including the ALL_AML, the colon cancer, and the esophageal carcinoma dataset (ESCA) datasets

  • The ALL_AML dataset includes acute lymphoblastic leukemia (ALL) and acute myelogenous leukemia (AML) [13], and ALL has been divided into T cell subtypes and B cell subtypes

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Summary

Introduction

With the emergence of deep sequencing technologies, considerable genomic data have become available. Since genomic data are usually high-dimension small-sample data, that is, the dimension of the gene is large, the dimension of the sample is small, and it is easy to cause interference when performing feature selection and difficult to understand the sample directly [1]. How to identify these key genes from the massive high-dimensional genomic data is a hotspot and nodus in research. Studies have testified that these key genes are efficaciously extracted by embedding learning [3]. Cluster analysis is based on the similarity of each data point to classify the samples or genes, which is helpful for accurate determination of the cancer subtype. Some studies have demonstrated that embedding learning and sparse regression is good for cluster analysis and feature selection [4,5]

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