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List of files deposited in CurateND that match your search criteria

 Creator(s):
 Jonathan Hauenstein, Margaret Regan
 Description:
Polynomials which arise via elimination can be difficult to compute explicitly. By using a pseudowitness 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:
 20200327
 Record Visibility:
 Public

 Creator(s):
 Jonathan Hauenstein, Martin Helmer
 Description:
Alt’s problem, formulated in 1923, is to count the number of fourbar 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:
 20200303
 Record Visibility:
 Public

3
Dataset
 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:
 20200212
 Record Visibility:
 Public

4
Dataset
 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 # 17043850 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:
 20200127
 Record Visibility:
 Public

5
Dataset
 Creator(s):
 Jonathan Hauenstein
 Description:
Many algorithms for determining properties of real algebraic or semialgebraic sets rely upon the ability to compute smooth points. Existing methods to compute smooth points on semialgebraic sets use symbolic quantifier elimination tools. In this paper, we present a simple algorithm based on computing the critical points of some wellchosen 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:
 20200118
 Record Visibility:
 Public

 Creator(s):
 Marc Muller, Jaynise PerezValentin
 Description:
This dataset accompanies the Manuscript “Impact of Hurricane Maria on beach erosion in Puerto Rico: remote sensing and causal inference” by Jaynise PerezValentin 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:
 20191106
 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 dimensionbydimension 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:
 20190426
 Record Visibility:
 Public

8
Dataset
 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:
 20190329
 Record Visibility:
 Public

10
Dataset

 Creator(s):
 Jonathan Hauenstein, Jose Rodriguez
 Description:
In the field of numerical algebraic geometry, positivedimensional 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:
 20181229
 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:
 20180410
 Record Visibility:
 Public