\begin{table}[htbp] \centering\scriptsize \caption{Task A — Point accuracy of future sale-price forecasts by horizon band (months after the origin)}\label{tab:scores_a} \begin{threeparttable} \begin{tabular}{lrrrrrr} \toprule Model & 1-3: MAE & 1-3: MASE & 4-6: MAE & 4-6: MASE & 7-12: MAE & 7-12: MASE \\ \midrule Naive: municipal median & 34.96 & 1.00 & 35.27 & 1.00 & 35.29 & 1.00 \\ Hedonic OLS & 23.24*** & 0.66 & 23.80*** & 0.67 & 24.44*** & 0.69 \\ Ridge & 23.24*** & 0.66 & 23.80*** & 0.67 & 24.44*** & 0.69 \\ Elastic net & 23.19*** & 0.66 & 23.73*** & 0.67 & 24.38*** & 0.69 \\ SVR (subsample) & 22.99*** & 0.66 & 23.42*** & 0.66 & 23.65*** & 0.67 \\ Random forest & 22.04*** & 0.63 & 22.59*** & 0.64 & 23.36*** & 0.66 \\ XGBoost & 21.36*** & 0.61 & 22.27*** & 0.63 & 23.02*** & 0.65 \\ LightGBM & 21.21***$^{\dagger}$ & 0.61 & 22.04***$^{\dagger}$ & 0.62 & 22.70***$^{\dagger}$ & 0.64 \\ Quantile MLP & 26.14*** & 0.75 & 25.97*** & 0.74 & 25.98 & 0.74 \\ HSHN (no pooling) & 22.34*** & 0.64 & 23.66*** & 0.67 & 24.82*** & 0.70 \\ HSHN (full pooling) & 22.55*** & 0.65 & 23.98*** & 0.68 & 25.19*** & 0.71 \\ HSHN (partial pooling) & 22.36*** & 0.64 & 23.68*** & 0.67 & 24.83*** & 0.70 \\ \bottomrule \end{tabular} \begin{tablenotes}\footnotesize\item Target: log sale price. MAE in log points ×100; MASE relative to the naive reference. Stars: Diebold--Mariano test of equal squared-error loss against the reference on per-origin mean losses (* 10\%, ** 5\%, *** 1\%); $\dagger$ = in the 90\% model confidence set of the horizon.\end{tablenotes} \end{threeparttable} \end{table}