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Preprints
, 2026, A Bounded Degree SOS Plus SONC Hierarchy for Polynomial Optimization, https://arxiv.org/abs/2609.25954v1
, 2026, Algebraic optimization of sequential decision problems, http://dx.doi.org/10.48550/arxiv.2211.09439
, 2026, Exposed extreme rays of the SONC cone, http://dx.doi.org/10.48550/arxiv.2512.00348
, 2025, Least multivariate Chebyshev polynomials on diagonally determined sets, http://dx.doi.org/10.48550/arxiv.2405.19219
, 2024, Optimization-Aided Construction of Multivariate Chebyshev Polynomials, http://dx.doi.org/10.48550/arxiv.2405.10438
, 2024, Time-Varying Semidefinite Programming: Path Following a Burer-Monteiro Factorization, http://dx.doi.org/10.48550/arxiv.2210.08387
, 2023, Kronecker Product Approximation of Operators in Spectral Norm via Alternating SDP, http://dx.doi.org/10.48550/arxiv.2207.03186
, 2023, Douglas--Rachford is the best projection method, https://arxiv.org/abs/2310.17077v1
, 2023, Geometrical Study of the Cone of Sums of Squares plus Sums of Nonnegative Circuits, https://arxiv.org/abs/2305.14848v2
, 2021, Separability of Hermitian Tensors and PSD Decompositions, http://dx.doi.org/10.48550/arxiv.2011.08132
, 2021, Algebraic perspectives on signomial optimization, https://arxiv.org/abs/2107.00345v1
, 2020, Real Zeros of SONC Polynomials, http://dx.doi.org/10.48550/arxiv.1909.06707
, 2020, Global Optimization via the Dual SONC Cone and Linear Programming, http://dx.doi.org/10.48550/arxiv.2002.09368
, 2020, Multiple typical ranks in matrix completion, https://arxiv.org/abs/2010.09777v2
, 2019, The dual cone of sums of non-negative circuit polynomials, http://dx.doi.org/10.48550/arxiv.1809.07648
, 2018, An Approach to Constrained Polynomial Optimization via Nonnegative Circuit Polynomials and Geometric Programming, http://dx.doi.org/10.48550/arxiv.1602.06180
, 2018, Optimization over the Boolean Hypercube via Sums of Nonnegative Circuit Polynomials, http://dx.doi.org/10.48550/arxiv.1802.10004
, 2017, A Positivstellensatz for Sums of Nonnegative Circuit Polynomials, http://dx.doi.org/10.48550/arxiv.1607.06010