48 citations · 79 across the 36 of their papers we have counts for
6 papers · 1 filter
Lower Bounds for Convexity Testing
Xi Chen, Anindya De, Shivam Nadimpalli +2
We consider the problem of testing whether an unknown and arbitrary set (given as a black-box membership oracle) is convex, versus -far from…
Lower Bounds for Tolerant Junta and Unateness Testing via Rejection Sampling of Graphs
Amit Levi, Erik Waingarten
We introduce a new model for testing graph properties which we call the \emph{rejection sampling model}. We show that testing bipartiteness of -nodes graphs using rejection samp…
Boolean Unateness Testing with Adaptive Queries
Xi Chen, Erik Waingarten, Jinyu Xie
We give an adaptive algorithm which tests whether an unknown Boolean function is unate, i.e. every variable of is either non-decreasing or non-…
Adaptivity is exponentially powerful for testing monotonicity of halfspaces
Xi Chen, Rocco A. Servedio, Li-Yang Tan +1
We give a -query adaptive algorithm for testing whether an unknown Boolean function , which is promised to be a halfspace, i…
Settling the query complexity of non-adaptive junta testing
Xi Chen, Rocco A. Servedio, Li-Yang Tan +2
We prove that any non-adaptive algorithm that tests whether an unknown Boolean function is a -junta or -far from every -junta must make $\widet…
Beyond Talagrand Functions: New Lower Bounds for Testing Monotonicity and Unateness
Xi Chen, Erik Waingarten, Jinyu Xie
We prove a lower bound of for the query complexity of any two-sided and adaptive algorithm that tests whether an unknown Boolean function $f:\{0,1\}^n\rightarrow…