areal_neighbor_weights

Computes neighbourhood-based weights for areal (lattice) data based on
shortest-path graph distances.

Provides distribution-free, model-agnostic prediction
intervals for spatially and spatio-temporally dependent data using
localized conformal calibration. Implements locally weighted split
conformal prediction for geostatistical (point-referenced) data based on
spatial-distance kernels, and a neighbourhood-weighted conformal
procedure for areal (lattice) data based on graph adjacency structures.
Relaxes the standard exchangeability assumption using spatial proximity,
following the localized conformal framework of Mao, Martin and Reich
(2024) <doi:10.1080/01621459.2022.2147531>. Includes comprehensive
spatial diagnostic tools to audit empirical coverage, conditional
spatial strata, and boundary proximity effects.

Ahmed Sattar Jabbar

spconform

Conformal Prediction for Spatially and Spatio-Temporally
Dependent Data

areal_neighbor_weights function

<dl><dt>i0</dt>
<dd>Integer index of the target (unobserved / held-out) areal unit.</dd>
<dt>adjacency</dt>
<dd>A square 0/1 (or weighted) adjacency matrix describing
the neighbourhood structure of the areal units (e.g. a spatial contiguity
matrix). Row/column <code>i0</code> corresponds to the target unit.</dd>
<dt>decay</dt>
<dd>Numeric decay rate applied to graph distance (number of hops)
from <code>i0</code>; larger values down-weight distant neighbours more
aggressively. Defaults to 1.</dd></dl>

Arguments

Areal (Lattice) Graph Distance Proximity Weights — areal_neighbor_weights

<dl>

<dt>i0</dt>
<dd>Integer index of the target (unobserved / held-out) areal unit.</dd>


<dt>adjacency</dt>
<dd>A square 0/1 (or weighted) adjacency matrix describing
the neighbourhood structure of the areal units (e.g. a spatial contiguity
matrix). Row/column <code>i0</code> corresponds to the target unit.</dd>


<dt>decay</dt>
<dd>Numeric decay rate applied to graph distance (number of hops)
from <code>i0</code>; larger values down-weight distant neighbours more
aggressively. Defaults to 1.</dd>

</dl>

areal_neighbor_weights: Areal (Lattice) Graph Distance Proximity Weights

Description

Usage

Value

Arguments