1,721,087 research outputs found

    Replication package: Ultra-large-scale Repository Analysis via Graph Compression

    No full text
    This is the replication package of the article Ultra-large-scale Repository Analysis via Graph Compression: Paolo Boldi, Antoine Pietri, Sebastiano Vigna and Stefano Zacchiroli. Ultra-large-scale Repository Analysis via Graph Compression 2020 IEEE 27th International Conference on Software Analysis, Evolution and Reengineering (SANER). IEEE, 2020.  </p

    Efficient lazy algorithms for minimal-interval semantics

    No full text
    Minimal-interval semantics [3] associates with each query over a document a set of intervals, called witnesses, that are incomparable with respect to inclusion (i.e., they form an antichain): witnesses define the minimal regions of the document satisfying the query. Minimalinterval semantics makes it easy to define and compute several sophisticated proximity operators, provides snippets for user presentation, and can be used to rank documents: thus, computing efficiently the antichains obtained by operations such as logic conjunction and disjunction is a basic issue. In this paper we provide the first algorithms for computing such operators that are linear in the number of intervals and logarithmic in the number of input antichains. The space used is linear in the number of antichains. Moreover, the algorithms are lazy - they do not assume random access to the input antichains. These properties make the usage of our algorithms feasible in large-scale web search engines

    Engineering Zuffix Arrays

    Full text link
    Searching patterns in long strings is a classical algorithmic problem with countless practical applications. Suffix trees and suffix arrays (and their variants) are a long-established solution that yields linear-time search (in the size of the pattern). In [Paolo Boldi and Sebastiano Vigna, 2018] it is shown that a z-map gadget can be attached to (enhanced) suffix arrays to improve their theoretical query time, obtaining a data structure called zuffix array. The main contribution of this paper is to show that a carefully engineered implementation of the z-map gadget does provide significant speedups with respect to enhanced suffix arrays on real-world datasets, albeit doubling the required space. In particular, for large alphabets we observe a sevenfold improvement in query time with respect to enhanced suffix arrays; even in the worst case (small alphabets), the query time is almost halved. Thus, zuffix arrays provide a very interesting new point in the space-time tradeoff spectrum

    Monotonicity in Undirected Networks

    No full text
    This archive contains Sage worksheets associated with the paper “Monotonicity in Undirected Networks”, by Paolo Boldi, Flavio Furia, and Sebastiano Vigna, published on Network Science

    A deeper investigation of PageRank as a function of the damping factor

    Full text link
    PageRank is defined as the stationary state of a Markov chain. The chain is obtained by perturbing the transition matrix induced by a web graph with a damping factor α that spreads uniformly part of the rank. The choice of α is eminently empirical, and in most cases the original suggestion α = 0.85 by Brin and Page is still used. In this paper, we give a mathematical analysis of PageRank when α changes. In particular, we show that, contrarily to popular belief, for real-world graphs values of α close to 1 do not give a more meaningful ranking. Then, we give closed-form formulae for PageRank derivatives of any order, and by proving that the k-th iteration of the Power Method gives exactly the PageRank value obtained using a Maclaurin polynomial of degree k, we show how to obtain an approximation of the derivatives. Finally, we view PageRank as a linear operator acting on the preference vector and show a tight connection between iterated computation and derivation.

    Pictures from Mongolia. Extracting the Top Elements from a Partially Ordered Set.

    No full text
    You are back from that very long, marvellous journey. You have a thousand pictures, but your friends and relatives will stand just a few dozens. Choosing is a painful process, in particular when you cannot decide between the silent vastness of that desert and the idyllic picture of that tranquil, majestic lake. We are going to help.You are back from that very long, marvellous journey. You have a thousand pictures, but your friends and relatives will stand just a few dozens. Choosing is a painful process, in particular when you cannot decide between the silent vastness of that desert and the idyllic picture of that tranquil, majestic lake. We are going to help

    Going Beyond Counting First Authors in Author Co-citation Analysis

    Full text link
    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
    corecore