16 papers
An FKN Theorem for the Binary Grassmann Scheme
Yuval Filmus, Anqi Li, Dor Minzer
A classical theorem due to Friedgut, Kalai and Naor asserts that if a function close to a degree function, then either or is close to ei…
Triviality of promise polymorphisms
Yuval Filmus
The paper extends previous work on when all polymorphisms between two predicates are trivial, showing that checking only low-arity (1- or 2-ary) polymorphisms suffices even in the…
Boolean degree one functions on the Grassmann scheme
Yuval Filmus
Ferdinand Ihringer proved that Boolean degree one functions on the Grassmann scheme are trivial when and is large enough. We provide a mostly sel…
Uniqueness for 2-Intersecting Families of Permutations and Perfect Matchings
Gilad Chase, Neta Dafni, Yuval Filmus +1
We give a characterization of the largest -intersecting families of permutations of and of perfect matchings of the complete graph for all …
Strategic PAC Learnability via Geometric Definability
Yuval Filmus, Shay Moran, Elizaveta Nesterova +2
Strategic classification studies learning settings in which individuals can modify their features, at a cost, in order to influence the classifier's decision. A central question is…
Classification aggregation: a quantitative impossibility theorem
Yuval Filmus
A group of individuals wishes to classify objects into categories in such a way that no class is left empty, a condition known as surjectivity. The opinions of the individu…