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arxiv:2610.21114

Spectral-Spatial Interpretation

Published on Oct 15
· Submitted by
Haotian Ma
on Oct 22
Authors:
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Abstract

Spectral-Spatial Interpretation assigns localized channel importance at each spatial position via conditional Shapley values, yielding full spectral-spatial attribution matrices that outperform existing methods on multispectral image tasks.

Post-hoc image explanations usually show where a model looks using spatial heatmaps or indicate which channels matter using global channel scores. These separate views are limiting for multispectral data because channel relevance is often spatially localized and physically meaningful. We introduce Spectral-Spatial Interpretation (SSI), a full-grid attribution method over position-channel players (g,c). For each spatial position, SSI fixes the observed surrounding context, defines a conditional game over the channels at that position, and applies the Shapley value to this local game. The result is a full spectral-spatial attribution matrix rather than a single heatmap or a global channel ranking. SSI has a clear local interpretation. It satisfies Shapley fairness within each position, and aggregating its channel attributions exactly recovers the position-level contextual contrast obtained by replacing that position with the baseline. SSI also differs from context-averaged Owen-style hierarchical accounting, which uses the same position-channel grouping but averages over external spatial coalitions. On HLS Burn Scar, SSI outperforms an MC-Owen estimator across retained attribution metrics while using only about 6% of its evaluation budget. Across CUB-200, EuroSAT, and HLS Burn Scar under both per-channel mean and zero baselines, SSI achieves the best joint deletion and insertion AUC over dense, flat, and rank-1 baselines, yields the strongest spectral hit rates and channel deletion, and leads spatial localization on both annotated datasets. Code is available at https://github.com/AtheavenMa/Spectral-Spatial-Interpretation.

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🔥🔥🔥Which spectral channels matter, and where?

SSI explains a model score with signed attributions for each spatial cell and channel. It keeps the surrounding image fixed while allocating a cell's contribution among its channels using Shapley values.

fig1

A channel's contribution can change across an image. SSI asks how the channels within one spatial cell affect the chosen model score, conditioned on the observed values of all other cells.

fig2

✅ SSI has the best reported mean for all three metrics on all three datasets under both masking baselines. For example, mean-baseline HLS joint deletion is .1545 for SSI versus .2096 for KernelSHAP, the strongest non-SSI method on that metric.

figure3

✅ SSI leads the compared methods in spatial localization, spectral Hit@K, and channel deletion across the evaluated datasets.

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