Abstract-- In this paper we consider d-dimensional spatiotemporal data (d 1) and ways to approximate and index it. We focus on indexing such data for similarity matching using orth...
Abstract: We give a quantum algorithm for the binary NAND tree problem in the Hamiltonian oracle model. The algorithm uses a continuous time quantum walk with a running time propor...
Abstract. In the late nineties, Erickson proved a remarkable lower bound on the decision tree complexity of one of the central problems of computational geometry: given n numbers, ...
In 2002 Jackson et al. [JKS02] asked whether AC0 circuits augmented with a threshold gate at the output can be efficiently learned from uniform random examples. We answer this ques...
We present lower bounds on the computational power of an optical model of computation called the C2-CSM. We show that C2-CSM time is at least as powerful as sequential space, thus ...