W26 Nonparametric Regression and Classification with Joint Sparsity Constraints Han Liu, John Lafferty and Larry Wasserman Carnegie Mellon University We study joint functional sparsity in high dimensional nonparametric multi-task regression and multi-class classification · · · Sum of sup-norm regularization Simultaneous sparse backfitting Experiments on gene microarray data 770394 377461 1435862 486110 383188 134748 841620 325182 812105 308231 377048 784224 244618 796258 207274 296448 814526 236282 701751 80649 !3 !2 !1 0 1 · Multi-task and multi-class extensions of Sparse Additive Models (SpAM) EWS.T1 EWS.T2 EWS.T3 EWS.T4 EWS.T6 EWS.T7 EWS.T9 EWS.T11 EWS.T12 EWS.T13 EWS.T14 EWS.T15 EWS.T19 EWS.C8 EWS.C3 EWS.C2 EWS.C4 EWS.C6 EWS.C9 EWS.C7 EWS.C1 EWS.C11 EWS.C10 BL.C5 BL.C6 BL.C7 BL.C8 BL.C1 BL.C2 BL.C3 BL.C4 NB.C1 NB.C2 NB.C3 NB.C6 NB.C12 NB.C7 NB.C4 NB.C5 NB.C10 NB.C11 NB.C9 NB.C8 RMS.C4 RMS.C3 RMS.C9 RMS.C2 RMS.C5 RMS.C6 RMS.C7 RMS.C8 RMS.C10 RMS.C11 RMS.T1 RMS.T4 RMS.T2 RMS.T6 RMS.T7 RMS.T8 RMS.T5 RMS.T3 RMS.T10 RMS.T11 ID.770394 2 0.0 3 0.2 0.4 0.6 0.8 1.0 k=1 ID.207274 2 !3 !2 !1 0.0 0 1 3 0.2 0.4 0.6 0.8 1.0 k=3