4 papers
Approximating CDTW Distance of Piecewise Algebraic Curves
Alperen A. Ergür, Shamik Khowala
Curves as input data naturally arise in a variety of fields including finance, seismology, medicine, spatio-temporal data mining, malicious activity detection, and more. A common w…
Learning Fast Monomial Orders for Gröbner Basis Computations
R. Caleb Bunch, Alperen A. Ergür, Melika Golestani +3
The efficiency of Gröbner basis computation, the standard engine for solving systems of polynomial equations, depends on the choice of monomial ordering. Despite a near-continuum o…
Optimal Preconditioning is a Geodesically Convex Optimization Problem
M. Levent Doğan, Alperen Ergür, Elias Tsigaridas
We introduce a unified framework for computing approximately-optimal preconditioners for solving linear and non-linear systems of equations. We demonstrate that the condition numbe…
On the number of iterations of the DBA algorithm
Frederik Brüning, Anne Driemel, Alperen Ergür +1
The DTW Barycenter Averaging (DBA) algorithm is a widely used algorithm for estimating the mean of a given set of point sequences. In this context, the mean is defined as a point s…