Many recommender systems have only implicit user feedback. The two possible ratings are positive and negative, but only part of positive entries are observed. One-class matrix factorization (MF) is a popular approach for such scenarios by treating some missing entries as negative. Two major ways to select negative entries are by sub-sampling a set with similar size to that of observed positive ...

Some of Ramanujan’s original discoveries about hypergeometric functions and their relation to modular integrals, especially Eisenstein series of negative weight, are still not very well understood. These discoveries take the form of identities that he recorded, without proof, as entries in his notebooks.∗ In the following sections I will introduce some of these entries, discuss their status, gi...

This paper studies the caching characteristics of HTTP requests and responses that pass through production Web proxies. We evaluate caching opportunities and problems. Traces with 5.9 million entries from a large Internet Service Provider (ISP) and 2.0 million entries from an Intranet firewall are studied. We find maximum cache hit rate opportunities of about 40% for an ISP and 70% for an Intra...

In this paper, we are concerned with the largeN limit of linear combinations of entries of Brownian motions on the group of N ×N unitary matrices. We prove that the process of such a linear combination converges to a Gaussian one. Various scales of time are concerned, giving rise to various limit processes, in relation to the geometric construction of the unitary Brownian motion. As an applicat...

This paper studies the issue of conceptually indexing the blogosphere through the whole hierarchy of Wikipedia entries. About 300,000 Wikipedia entries are used for representing a hierarchy of topics. Based on the results of judging whether each blog feed is relevant to a given Wikipedia entry, this paper proposes how to judge whether there exist blog feeds to be linked from the given entry. In...

1. First of all I would like to give an account of the practical experience gained in the course of processing the about 60,000 or so entries of a Hungarian unilingual (explanatory) dictionary (.4 magyar nyelv 3rtelmez6 szdt,~ra, vv. I-VII, 1959-1962). In this case by " t e x t " we mean this non-natural corpus, that is the sum total of the entries of the dic• tionary; and by linguistic data th...