This paper discusses the topic of dimensionality reduction for k-means clustering. We prove that any set of n points in d dimensions (rows in a matrix A ∈ Rn×d ) can be project...
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
We present algorithms for a class of resource allocation problems both in the online setting with stochastic input and in the offline setting. This class of problems contains man...
Nikhil R. Devanur, Kamal Jain, Balasubramanian Siv...
A new method is proposed to design short signature schemes based on difficulty of factorizing a composite number n = qr, where q and r are two large primes. Using the method new d...
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...