P_Knear_rank

This function builds penalized K nearest neighbor graphs with rank
The output is a list containing the graph and the degree distribution

Implements the Multi-view Aggregated Two-Sample (MATES) test, a powerful nonparametric method for testing equality of two multivariate distributions. The method constructs multiple graph-based statistics from various perspectives (views) including different distance metrics, graph types (nearest neighbor graphs, minimum spanning trees, and robust nearest neighbor graphs), and weighting schemes. These statistics are then aggregated through a quadratic form to achieve improved statistical power. The package provides both asymptotic closed-form inference and permutation-based testing procedures. For methodological details, see Cai and others (2026+) <doi:10.48550/arXiv.2412.16684>.

Zexi Cai

MATES

Multi-View Aggregated Two Sample Tests

Mingshuo Liu

Wenbo Fei

Doudou Zhou

P_Knear_rank function

<dl><dt>M</dt>
<dd>A numeric matrix representing the distance matrix</dd>
<dt>K</dt>
<dd>An integer representing the number of neighbors to use</dd>
<dt>lambda</dt>
<dd>A numeric representing the penalty parameter</dd></dl>

Arguments

Compute k-rNNG graph — P_Knear_rank

<dl>

<dt>M</dt>
<dd>A numeric matrix representing the distance matrix</dd>


<dt>K</dt>
<dd>An integer representing the number of neighbors to use</dd>


<dt>lambda</dt>
<dd>A numeric representing the penalty parameter</dd>

</dl>

P_Knear_rank: Compute k-rNNG graph

Description

Usage

Value

Arguments

References