Supplementary Material for Accurate Interpolation for Scattered Data through Hierarchical Residual Refinement Shizhe Ding

In the embedding phase, NIERT uniformly embeds both observed and target points. A learnable mask vector is introduced for target points lacking value data. The NIERT interpolator's core is a Transformer encoder with a masked self-attention mechanism, uniformly encoding observed and The NIERT, a Transformer encoder-only architecture that uniformly encodes observed points and models their correlations, exhibits superior interpolation accuracy. Our proposed architecture, specifically adapted to HINT's overall framework, introduces HINT employs residuals on observed points to estimate residuals on target points. Table 1: Statistics of the interpolation tasks used for training in each dataset.Dataset d Theoretical dataset II: Perlin is another synthetic assembly of interpolation tasks, specifically designed for the numerical interpolation of two-dimensional rough functions.