An overview of Wavelets and MERA

          @misc{ scivideos_PIRSA:20110035,
            doi = {10.48660/20110035},
            url = {https://pirsa.org/20110035},
            author = {Evenbly, Glen},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {An overview of Wavelets and MERA},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2020},
            month = {nov},
            note = {PIRSA:20110035 see, \url{https://scivideos.org/index.php/pirsa/20110035}}
          }
          

Abstract

The use of wavelet-based constructions has led to significant progress in the analytic understanding of holographic tensor networks, such as the multi-scale entanglement renormalization ansatz (MERA). In this talk I will give an overview of the (past and more recently established) connections between wavelets and MERA, and the discuss the important results that have followed. I will also discuss work currently underway that exploits the wavelet-MERA connection in order to produce new families of wavelets that are optimal for certain tasks, such as image compression.