Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
This paper deals with linear shift-invariant distributed systems. By this we mean systems described by constant coefficient linear partial differential equations. We define dissipa...
We study the following question, communicated to us by Mikl´os Ajtai: Can all explicit (e.g., polynomial time computable) functions f : ({0, 1}w )3 → {0, 1}w be computed by word...
Kristoffer Arnsfelt Hansen, Oded Lachish, Peter Br...
We provide sample complexity of the problem of learning halfspaces with monotonic noise, using the regularized least squares algorithm in the reproducing kernel Hilbert spaces (RKH...