Racial segregation in public education has been declared as unconstitutional for over 60
years in the United States. Yet many public school districts remain largely separate and …

Regionalization techniques group spatial areas into a set of homogeneous regions to
analyze and draw conclusions about spatial phenomena. A recent regionalization problem …

MP-regions is an NP-hard problem that groups spatial areas to produce a maximum number
of regions by enforcing a user-defined constraint at the regional level. Existing approximate …

Under the background of high incidence and mortality of cardiovascular diseases, the
accurate and automatic left ventricle (LV) segmentation method is of essential importance for …

Spatial optimization problems (SOPs) are characterized by spatial relationships governing
the decision variables, objectives, and/or constraint functions. In this article, we focus on a …

This paper introduces a generalized spatial regionalization problem, namely, PRUC (P-
Regions with User-defined Constraint) that partitions spatial areas into homogeneous …

Public deliberations are often a staple ingredient in community decision-making. However,
traditional, time-constrained, in-person debates can become highly polarized, eroding trust …

In countries like the US, public school systems function through school districts, which are
geographical areas where schools share the same administrative structure and are often …

Spatial datasets are used extensively to train machine learning (ML) models for applications
such as spatial regression, classification, clustering, and deep learning. Most of the real …

Spatial resource allocation is a multi-objective spatial optimization problem with multiple
constraints. The division of school districts is a classic problem of spatial resource allocation …