Select Publications
Preprints
2024, Least multivariate Chebyshev polynomials on diagonally determined domains, http://arxiv.org/abs/2405.19219v1
,2024, Optimization-Aided Construction of Multivariate Chebyshev Polynomials, http://arxiv.org/abs/2405.10438v3
,2023, Douglas--Rachford is the best projection method, http://arxiv.org/abs/2310.17077v1
,2023, Geometrical Study of the Cone of Sums of Squares plus Sums of Nonnegative Circuits, http://arxiv.org/abs/2305.14848v1
,2022, Algebraic optimization of sequential decision problems, http://arxiv.org/abs/2211.09439v1
,2022, Time-Varying Semidefinite Programming: Path Following a Burer-Monteiro Factorization, http://dx.doi.org/10.1137/22M1529762
,2022, Kronecker Product Approximation of Operators in Spectral Norm via Alternating SDP, http://arxiv.org/abs/2207.03186v2
,2021, Algebraic perspectives on signomial optimization, http://arxiv.org/abs/2107.00345v1
,2020, Separability of Hermitian Tensors and PSD Decompositions, http://arxiv.org/abs/2011.08132v2
,2020, Multiple typical ranks in matrix completion, http://arxiv.org/abs/2010.09777v1
,2020, Global Optimization via the Dual SONC Cone and Linear Programming, http://dx.doi.org/10.1145/3373207.3404043
,2019, Real Zeros of SONC Polynomials, http://dx.doi.org/10.1016/j.jpaa.2020.106602
,2018, The dual cone of sums of non-negative circuit polynomials, http://arxiv.org/abs/1809.07648v2
,2018, Optimization over the Boolean Hypercube via Sums of Nonnegative Circuit Polynomials, http://arxiv.org/abs/1802.10004v1
,2016, A Positivstellensatz for Sums of Nonnegative Circuit Polynomials, http://arxiv.org/abs/1607.06010v2
,2016, An Approach to Constrained Polynomial Optimization via Nonnegative Circuit Polynomials and Geometric Programming, http://arxiv.org/abs/1602.06180v3
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