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02/28/2023
A short proof for the parameter continuation theorem
The Parameter Continuation Theorem is the theoretical foundation for pol...
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02/16/2023
Numerical Nonlinear Algebra
Numerical nonlinear algebra is a computational paradigm that uses numeri...
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12/03/2022
Average degree of the essential variety
The essential variety is an algebraic subvariety of dimension 5 in real ...
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10/08/2021
Three decompositions of symmetric tensors have similar condition numbers
We relate the condition numbers of computing three decompositions of sym...
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08/30/2021
Algebraic compressed sensing
We introduce the broad subclass of algebraic compressed sensing problems...
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06/24/2021
The condition number of many tensor decompositions is invariant under Tucker compression
We characterise the sensitivity of several additive tensor decomposition...
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02/28/2021
Sensitivity of low-rank matrix recovery
We characterize the first-order sensitivity of approximately recovering ...
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09/26/2019
A theory of condition for unconstrained perturbations
Traditionally, the theory of condition numbers assumes errors in the dat...
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11/28/2017
HomotopyContinuation.jl: A package for homotopy continuation in Julia
We present the Julia package HomotopyContinuation.jl, which provides an ...
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11/28/2017