4 Kernels (11 pts] (a) (4 pt) Let Ki : Rd Rd R and K2 : Rd x Rd R be two valid kernels corresponding to the feature mapping 01 : Rd + RP and $2 : Rd R respectively. Define a function K : Rd x Rd R as follows: K(, ) = K(, ) + K2(, ) What is the associated feature mapping 0 for the function K(,z) in terms of oi and 02? (b) (7 pt) Using your answer from part (a), derive the underlying feature mapping 0 for the function K(, ) ( )2 + . In your work, explicitly define Kid, ), K2(, ), and their associated feature maps 01 and 02. = 4 Kernels (11 pts] (a) (4 pt) Let Ki : Rd Rd R and K2 : Rd x Rd R be two valid kernels corresponding to the feature mapping 01 : Rd + RP and $2 : Rd R respectively. Define a function K : Rd x Rd R as follows: K(, ) = K(, ) + K2(, ) What is the associated feature mapping 0 for the function K(,z) in terms of oi and 02? (b) (7 pt) Using your answer from part (a), derive the underlying feature mapping 0 for the function K(, ) ( )2 + . In your work, explicitly define Kid, ), K2(, ), and their associated feature maps 01 and 02. =