In this paper, we provide theoretical analysis for a cubic regularization of Newton method as applied to unconstrained minimization problem. For this scheme, we prove general local...
Various simplified or improved, and partly corrected well-known implicit characterizations of the complexity classes FPTIME and NC are presented. Primarily, the interest is in si...
The class of variable-length finite-state joint source-channel codes is defined and a polynomial complexity algorithm for the evaluation of their distance spectrum presented. Issu...
We consider the computational complexity of pure Nash equilibria in graphical games. It is known that the problem is NP-complete in general, but tractable (i.e., in P) for special...
We present a lower bound on the round complexity of a natural class of black-box constructions of statistically hiding commitments from one-way permutations. This implies a Ω( n ...