We prove an exponential lower bound for the size of constant depth multilinear arithmetic circuits computing either the determinant or the permanent (a circuit is called multiline...
We prove an exponential lower bound for the length of any resolution proof for the same set of clauses as the one used by Urquhart [13]. Our contribution is a signiļ¬cant simpliļ¬...
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
We consider the problem of determining whether a given set S in Rn is approximately convex, i.e., if there is a convex set K ā Rn such that the volume of their symmetric diļ¬ere...