6533b862fe1ef96bd12c61b5

RESEARCH PRODUCT

Kernelizing LSPE(λ)

T. JungDaniel Polani

subject

Mathematical optimizationKernel (statistics)KernelizationLeast squares support vector machineBenchmark (computing)Reinforcement learningContext (language use)Basis functionFunction (mathematics)Mathematics

description

We propose the use of kernel-based methods as underlying function approximator in the least-squares based policy evaluation framework of LSPE(λ) and LSTD(λ). In particular we present the 'kernelization' of model-free LSPE(λ). The 'kernelization' is computationally made possible by using the subset of regressors approximation, which approximates the kernel using a vastly reduced number of basis functions. The core of our proposed solution is an efficient recursive implementation with automatic supervised selection of the relevant basis functions. The LSPE method is well-suited for optimistic policy iteration and can thus be used in the context of online reinforcement learning. We use the high-dimensional Octopus benchmark to demonstrate this

https://doi.org/10.1109/adprl.2007.368208