Auxiliary Gene Learning: Spatial Gene Expression Estimation by Auxiliary Gene Selection

TL;DR

This paper introduces a novel auxiliary gene learning framework for spatial transcriptomics that selects beneficial auxiliary genes using prior knowledge and bi-level optimization, improving gene expression estimation accuracy.

Contribution

It proposes a new auxiliary gene learning method with differentiable top-$k$ gene selection, leveraging prior knowledge to enhance spatial gene expression estimation.

Findings

Outperforms conventional auxiliary task learning approaches

Effectively leverages prior knowledge for gene selection

Improves accuracy of gene expression estimation

Abstract

Spatial transcriptomics (ST) is a novel technology that enables the observation of gene expression at the resolution of individual spots within pathological tissues. ST quantifies the expression of tens of thousands of genes in a tissue section; however, heavy observational noise is often introduced during measurement. In prior studies, to ensure meaningful assessment, both training and evaluation have been restricted to only a small subset of highly variable genes, and genes outside this subset have also been excluded from the training process. However, since there are likely co-expression relationships between genes, low-expression genes may still contribute to the estimation of the evaluation target. In this paper, we propose $Auxiliary \ Gene \ Learning$ (AGL) that utilizes the benefit of the ignored genes by reformulating their expression estimation as auxiliary tasks and training them jointly with the primary tasks. To effectively leverage auxiliary genes, we must select a subset of auxiliary genes that positively influence the prediction of the target genes. However, this is a challenging optimization problem due to the vast number of possible combinations. To overcome this challenge, we propose Prior-Knowledge-Based Differentiable Top-$k$ Gene Selection via Bi-level Optimization (DkGSB), a method that ranks genes by leveraging prior knowledge and relaxes the combinatorial selection problem into a differentiable top-$k$ selection problem. The experiments confirm the effectiveness of incorporating auxiliary genes and show that the proposed method outperforms conventional auxiliary task learning approaches.