Seminar

Please note: This seminar will be given online.

Mennatallah El-Assady, Research Associate
Data Analysis and Visualization, University of Konstanz
Visualization for Information Analysis Lab, University of Ontario Institute of Technology

Please note: This seminar will be given online.

Pei Wu, Computer Science Department
University of California, Los Angeles

We prove that for every decision tree, the absolute values of the Fourier coefficients of given order $\ell\geq1$ sum to at most $c^{\ell}\sqrt{\binom{d}{\ell}(1+\log n)^{\ell-1}},$ where $n$ is the number of variables, $d$ is the tree depth, and $c>0$ is an absolute constant. This bound is essentially tight and settles a conjecture due to Tal (arxiv 2019; FOCS 2020).