Sample questionnaire.

This is a sample of the questionnaire. (DOC)</p

Multidimensional poverty index decomposition based on different dimensions (%).

Multidimensional poverty index decomposition based on different dimensions (%).</p

First-stage merging of Cartesian product clusters based on bipartite clustering.

(a) Bipartite clustering yields super-clusters, each containing multiple clusters in every view. A super-cluster is marked by a given color, and the same super color is shown by different shapes in the two views. Any super-cluster of interaction effects will be treated as a merged product cluster in later analysis. (b) The off-diagonal white blocks correspond to unmatched product (UP) super-clusters. The diagonal colored blocks correspond to matched product (MP) super-clusters. (c) A simple case that the true clusters are the product clusters from two views. The information from the two views is fully complementary.</p

Questionnaire statistics.

This is the statistics from the questionnaire. (XLSX)</p

The pipeline of CPS-merge analysis.

When there are more than two views, users can either directly treat the Cartesian product clusters with higher orders or conduct step-wise merging such that two views are treated at each step. Current mutlimodal single-cell datasets only contain two views.</p

Variable design and explanation.

Variable design and explanation.</p

UMAP visualization for HBMC data and the clustering results.

(a) True clusters on RNA. (b) Single-view clustering result on RNA. (c) CPS-merge analysis result on RNA. (d) True clusters on Protein (ADT). (e) Single-view clustering result on Protein (ADT). (f) CPS-merge analysis result on Protein (ADT).</p

UMAP visualization for PBMC1 data and the clustering results.

(a) Truth clusters on RNA. (b) Single-view clustering result on RNA. (c) CPS-merge analysis result on RNA. (d) Truth clusters on ATAC. (e) Single-view clustering result on ATAC. (f) CPS-merge analysis result on ATAC.</p

Multidimensional loss of sustainable poverty alleviation capacity of poor households.

Multidimensional loss of sustainable poverty alleviation capacity of poor households.</p

Multidimensional poverty evaluation indicators.

Multidimensional poverty evaluation indicators.</p