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  • 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):
    Glen L. Niebur, Kimberly J. Curtis
    Description:

    Segmented computed tomography images of bone samples in Scanco AIM format (read with ImageJ): xxxx_seg.aim VTK format images of CFD results showing shear stress in the marrow (variable s0) (read with Python or other VTK compatible software): xxxxx.vtk Excel spreadsheet with gene expression data: xxx.xlsx

    Date Created:
    2019-04-24
    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, Jose Rodriguez
    Description:

    In the field of numerical algebraic geometry, positive-dimensional solution sets of systems of polynomial equations are described by witness sets. In this paper, we define multiprojective witness sets which encode the multidegree information of an irreducible multiprojective variety. Our main results generalize the regeneration solving procedure, a trace test, and numerical irreducible decomposition to the multiprojective case. Examples are included to demonstrate this new approach.

    Date Created:
    2018-12-29
    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
  • Creator(s):
    Jonathan Hauenstein
    Description:

    A common problem when analyzing models, such as a mathematical modeling of a biological process, is to determine if the unknown parameters of the model can be determined from given input-output data. Identifiable models are models such that the unknown parameters can be determined to have a finite number of values given input-output data. The total number of such values over the complex numbers is called the identifiability degree of the model. Unidentifiable models are models such that th…

    Date Created:
    2018-03-09
    Record Visibility:
    Public
  • Creator(s):
    Samantha Sherman, Jonathan Hauenstein
    Description:

    Computational tools in numerical algebraic geometry can be used to numerically approximate solutions to a system of polynomial equations. If the system is well-constrained (i.e., square), Newton’s method is locally quadratically convergent near each nonsingular solution. In such cases, Smale’s alpha theory can be used to certify that a given point is in the quadratic convergence basin of some solution. This was extended to certifiably determine the reality of the corresponding sol…

    Date Created:
    2018-03-08
    Record Visibility:
    Public
  • Creator(s):
    Edward Beatty
    Description:

    The Mexican patent database collects data on all patents issued in Mexico from roughly 1840 to the onset of the Mexican Revolution in 1911, totaling approximately thirteen thousand five hundred (13,500) discrete patent records. At present, this is the most comprehensive record of patents issued by Mexican governments during the nineteenth century. There is no single archival or published source that contains a comprehensive list or data on Mexican patents issued over the course of the long …

    Date Created:
    2018-01-29
    Record Visibility:
    Public