Testing Intersectingness of Uniform Families - How Dana and I Intersected

Explore a lecture on efficient algorithms for testing the intersectingness of k-uniform families of sets. Delve into recent work with Ishay Haviv, presented at RANDOM 2024, which introduces both tolerant testing algorithms and one-sided error non-adaptive testing algorithms for various epsilon values as functions of k and n. Examine how these results compare to optimal solutions, differing only by logarithmic factors in n and k. Contrast the query complexity of this problem with that of testing intersectingness in non-uniform families, as studied by Chen, De, Li, Nadimpalli, and Servedio at ITCS 2024. Gain insights into the speaker's personal experiences and collaborations with Dana throughout their career.