Abstract: We define rationally additive semirings that are a generalization of ()complete and (-)continuous semirings. We prove that every rationally additive semiring is an iterat...
—This paper suggests a technique for analyzing the performance of checkpointing schemes with task duplication. We show how this technique can be used to derive the average execut...
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...
We consider the problem of computing shortest paths in three-dimensions in the presence of a single-obstacle polyhedral terrain, and present a new algorithm that for any p 1, comp...
We present a novel probabilistic latent variable model to perform linear dimensionality reduction on data sets which contain clusters. We prove that the maximum likelihood solution...