20 citations · 24 across the 3 of their papers we have counts for
3 papers
cs.RO2020
Using monodromy to statistically estimate the number of solutions
Jonathan D. Hauenstein, Samantha N. Sherman
Synthesis problems for linkages in kinematics often yield large structured parameterized polynomial systems which generically have far fewer solutions than traditional upper bounds…
math.NA2019★ 20 cited
Estimating Higher-Order Moments Using Symmetric Tensor Decomposition
Samantha Sherman, Tamara G. Kolda
We consider the problem of decomposing higher-order moment tensors, i.e., the sum of symmetric outer products of data vectors. Such a decomposition can be used to estimate the mean…
math.AG2018★ 4 cited
Certifying reality of projections
Jonathan Hauenstein, Avinash Kulkarni, Emre Can Sertöz +1
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., s…