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  • Creator(s):
    Jonathan Hauenstein, Samantha Sherman
    Description:

    Synthesis problems for linkages in kinematics often yield large structured parameterized polynomial systems which generically have far fewer solutions than traditional upper bounds would suggest. This paper describes statistical models for estimating the generic number of solutions of such parameterized polynomial systems. The new approach extends previous work on success ratios of parameter homotopies to using monodromy loops as well as the addition of a trace test that provides a stopping…

    Date Created:
    2020-04-21
    Record Visibility:
    Public
  • Creator(s):
    Jonathan Hauenstein, Margaret Regan
    Description:

    Polynomials which arise via elimination can be difficult to compute explicitly. By using a pseudo-witness set, we develop an algorithm to explicitly compute the restriction of a polynomial to a given line. The resulting polynomial can then be used to evaluate the original polynomial and directional derivatives along the line at any point on the given line. Several examples are used to demonstrate this new algorithm including examples of computing the critical points of the discriminant locu…

    Date Created:
    2020-03-27
    Record Visibility:
    Public
  • Creator(s):
    Jonathan Hauenstein, Martin Helmer
    Description:

    Alt’s problem, formulated in 1923, is to count the number of four-bar linkages whose coupler curve interpolates nine general points in the plane. This problem can be phrased as counting the number of solutions to a system of polynomial equations which was first solved numerically using homotopy continuation by Wampler, Morgan, and Sommese in 1992. Since there is still not a proof that all solutions were obtained, we consider upper bounds for Alt’s problem by counting the number of sol…

    Date Created:
    2020-03-03
    Record Visibility:
    Public
  • Creator(s):
    Matthew Sisk
    Description:

    This is the data table from Appendix A of Sisk, ML (2011) “Settlement and Site Location in the Middle and Upper Paleolithic of the Vézère Valley, France” Ph.D. Dissertation, Stony Brook University, Department of Anthropology. It corrects errors present in the original publication

    Date Created:
    2020-02-12
    Record Visibility:
    Public
  • Creator(s):
    sgesing
    Description:

    In the Summer/Fall of 2017, participants were invited to contribute answers for the PresQT research study, entitled “Data and Software Preservation Quality Tool Needs Assessment” related to the PresQT Project, University of Notre Dame Study # 17-04-3850 DOI 10.17605/OSF.IO/D3JX7. Data Collection closed Sept 1, 2017 at 5 PM EDT.

    Participants’ answers to a series of questions related to their past practice, and anticipated future needs as researchers and/or software developers …

    Date Created:
    2020-01-27
    Record Visibility:
    Public
  • Creator(s):
    Jonathan Hauenstein
    Description:

    Many algorithms for determining properties of real algebraic or semi-algebraic sets rely upon the ability to compute smooth points. Existing methods to compute smooth points on semi-algebraic sets use symbolic quantifier elimination tools. In this paper, we present a simple algorithm based on computing the critical points of some well-chosen function that guarantees the computation of smooth points in each connected compact component of a real (semi)-algebraic set. Our technique is intuitive …

    Date Created:
    2020-01-18
    Record Visibility:
    Public
  • Creator(s):
    Marc Muller, Jaynise Perez-Valentin
    Description:

    This dataset accompanies the Manuscript “Impact of Hurricane Maria on beach erosion in Puerto Rico: remote sensing and causal inference” by Jaynise Perez-Valentin and Marc F. Muller, November 2019.

    beachesGIS is a zip archive that contains GIS vectors of 75 beach polygons across Puerto Rico. The vectors are provided in ESRI Shapefile format and LatLong coordinate system and have an attribute table with a beach name.

    TimeSeries is a csv table containing time series of shoreline pos…

    Date Created:
    2019-11-06
    Record Visibility:
    Public
  • Creator(s):
    Dan Bates, David Eklund, Jonathan Hauenstein, Chris Peterson
    Description:

    A fundamental problem in algebraic geometry is to decompose the solution set of a given polynomial system. A numerical description of this solution set is called a numerical irreducible decomposition and currently all standard algorithms use a sequence of homotopies forming a dimension-by-dimension approach. In this article, we pair a classical result to compute a smooth point on every irreducible component in every dimension using a single homotopy together with the theory of isosingular s…

    Date Created:
    2019-04-26
    Record Visibility:
    Public
  • Creator(s):
    David H Richter, Anne E Dempsey
    Description:

    Data for the reproduction of figures found in the paper Turbulent transport of spray droplets in the vicinity of moving surface waves written by David Richter et al.

    Included in this data set is: Spray Droplet Concentration, normalized velocity, and surf. Joint probability distributions of the droplet ejection location with (a) the droplet death location, (b) the maximum height reached by the droplet during its lifetime, and © the droplet lifetime for Cases d10 and d100.

    Date Created:
    2019-03-29
    Record Visibility:
    Public
  • Creator(s):
    Kenneth Christensen, Nathaniel R. Bristow
    Date Created:
    2019-03-19
    Record Visibility:
    Public
  • Creator(s):
    Thomas V. Merluzzi
    Description:

    Spreadsheet for a meta-analysis with data extracted from 79 RCTs.

    Date Created:
    2019-03-14
    Record Visibility:
    Public
  • Creator(s):
    Jonathan Hauenstein, Alan Liddell, Sanesha McPherson, Yi Zhang
    Description:

    Standard interior point methods in semidefinite programming can be viewed as tracking a solution path for a homotopy defined by a system of bilinear equations. By considering this in the context of numerical algebraic geometry, we employ numerical algebraic geometric techniques such as adaptive precision path tracking, endgames, and projective space to accurately solve semidefinite programs. We develop feasibility tests for both primal and dual problems which can distinguish between the fou…

    Date Created:
    2018-04-10
    Record Visibility:
    Public