The Lenstra-Lenstra-Lov´asz lattice basis reduction algorithm (LLL or L3 ) is a very popular tool in public-key cryptanalysis and in many other fields. Given an integer d-dimensi...
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
Many data analysis applications deal with large matrices and involve approximating the matrix using a small number of “components.” Typically, these components are linear combi...
Petros Drineas, Michael W. Mahoney, S. Muthukrishn...
We consider the problem of computing market equilibria and show three results. (i) For exchange economies satisfying weak gross substitutability we analyze a simple discrete versi...
Bruno Codenotti, Benton McCune, Kasturi R. Varadar...
Many combinatorial problems--such as the traveling salesman, feedback arcset, cutwidth, and treewidth problem-can be formulated as finding a feasible permutation of n elements. Ty...