The working group on structure-based accelerators had an expansive mission, consisting of externally powered structures of high frequency, novel material and/or novel structure design, wake-field (excluding plasma) accelerators, and inverse radiative process accelerators. Within the context of these themes, discussions were held on the subjects of field gradient, efficiency, and accelerated beam quality, with an eye on technical and experimental issues brought on by the need to experimentally develop these schemes. We discuss here the progress presented in the working group, as well as recommendations for future directions in this area of advanced accelerator techniques.