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  • Author(s):
    Charles Wampler, Andrew Sommese, Jonathan Hauenstein
    Abstract:

    Though numerical methods to find all the isolated solutions of nonlinear systems of multivariate polynomials go back 30 years, it is only over the last decade that numerical methods have been devised for the computation and manipulation of algebraic sets coming from polynomial systems over the complex numbers. Collectively, these algorithms and the underlying theory have come to be known as numerical algebraic geometry. Several software packages are capable of carrying out some of the operati…

  • Author(s):
    Daniel Bates, Andrew Sommese, Jonathan Hauenstein
    Abstract:

    Path tracking is the fundamental computational tool in homotopy continuation and is therefore key in most algorithms in the emerging field of numerical algebraic geometry. Though the basic notions of predictor-corrector methods have been known for years, there is still much to be considered, particularly in the specialized algebraic setting of solving polynomial systems. In this article, the effects of the choice of predictor method on the performance of a tracker is analyzed, and details for…

  • Author(s):
    Mark Dehmlow
    Abstract:

    In December of 2014, the University of Notre Dame’s Office of Information Technology (OIT) announced its “Cloud First” strategy. The strategic goal of the initiative is to espouse a technology implementation strategy that lays out a technology adoption strategy with the following order of preferences: 1. Use software provided and hosted by vendors in the cloud, 2. Adopt cloud-based data-centers for implementing what previously had been on-premise solutions, and 3. Reduce local implementations…

  • Author(s):
    Robert Kusmer
    Abstract:

    Notre Dame’s German language and literature librarian Robert Kusmer describes his visit to the 2014 Basel and Vienna book fairs and the trip’s significance to his work in building the German literature collections. This article is also published in the WESS Newsletter 38:2 (Spring 2015).

  • Author(s):
    Robert Kusmer
    Abstract:

    Notre Dame’s German language and literature librarian Robert Kusmer describes his March 2004 trip to the Leipzig Book Fair as a recipient of the Nedbook Northwest Europe Award and its value in developing the German literature collections in Hesburgh Library. This article appeared in the WESS Newsletter 28:1 (Fall 2004)

  • Author(s):
    Robert Kusmer
    Abstract:

    Notre Dame’s German language and literature librarian Robert Kusmer describes his November 2002 trip with colleagues to four major German cities for the purpose of touring prominent libraries, publishing houses and other cultural institutions. Co-sponsored by the Goethe Institut-New York and Bibliothek und Information International, under the auspices of the Association of College and Research Libraries, West European Studies Section, the trip furthered his understanding of the commonali…

  • Author(s):
    David Lloyd
    Abstract:

    The sudden, if predictable, transformation of Ireland from its brief moment as an island of immigrants back into what for so long it always was, a nation of emigrants, demands the re-interrogation of a term that for a brief time came to seem a natural way to address Ireland’s global migrations. The application of the term diaspora to people of Irish descent living outside Ireland is, after all, of relatively recent date and replaces a term that has been quite resonant in the Irish vocabular…

  • Author(s):
    Kenton Murray, David Chiang
    Abstract:

    Neural networks have been shown to improve performance across a range of natural-language tasks. However, designing and training them can be complicated. Frequently, researchers resort to repeated experimentation to pick optimal settings. In this paper, we address the issue of choosing the correct number of units in hidden layers. We introduce a method for automatically adjusting network size by pruning out hidden units through L∞,1 and L2,1 regularization. We apply this method to language mo…

  • Author(s):
    Kai Alexis Smith
    Abstract:

    In summer 2015, I explored the possibility of a Materials Library being built at the University of Notre Dame (ND). The interest for this came from faculty in the Art, Art History, and Design department. In this document many aspects of building such a collection and possible partners and departments on campus that might be interested are identified including ways to acquire materials, possible vendors, recommended readings, ways to organize such a collection, funding, and possible outreach o…

  • Author(s):
    Matthew Sisk, Danielle Wood
    Abstract:

    Community-Based Research is a collaborative approach to research where academic researchers, community members, and organizations are involved in the development, implementation and dissemination of research. Such projects are often designed to promote positive change in particular areas of the community. Here we report on a two-year old community-based research project through the University of Notre Dame’s Center for Digital Scholarship and Center for Social Concerns. Working with the…

  • Author(s):
    Douglas Thain, Peter Ivie, Haiyan Meng
    Abstract:

    An increasing amount of scientific work is performed in silico, such that the entire process of investigation, from experiment to publication, is performed by computer. Unfortunately, this has made the problem of scientific reproducibility even harder, due to the complexity and imprecision of specifying and recreating the computing environments needed to run a given piece of software. Here, we consider from a high level what techniques and technologies must be put in place to allow for the ac…

  • Author(s):
    Andrew Sommese, Azat M. Gainutdinov, Wenrui Hao, Rafael I. Nepomechie
    Abstract:

    We consider the sl(2)q-invariant open spin-½ XXZ quantum spin chain of finite length N. For the case that q is a root of unity, we propose a formula for the number of admissible solutions of the Bethe ansatz equations in terms of dimensions of irreducible representations of the Temperley-Lieb algebra; and a formula for the degeneracies of the transfer matrix eigenvalues in terms of dimensions of tilting sl(2)q-modules. These formulas include corrections that appear if two or more tilting …