Preprints:

• Marianne Akian, Stéphane Gaubert, Yang Qi, and Shanqing Liu, Semiconcave dual dynamic programming and its application to many-body system, preprint

• Khazhgali Kozhasov, Alan Muniz, Yang Qi, and Luca Sodomaco, On the minimal algebraic complexity of the rank-one approximation problem for general inner products, preprint

• Marianne Akian, Stéphane Gaubert, Yang Qi, and Omar Saadi, A geometric approach to best tropical low-rank approximations, preprint

• Yang Qi, Equations for the third secant variety of the Segre product of n projective spaces, preprint

Journal papers:

• Marianne Akian, Stéphane Gaubert, Yang Qi, and Omar Saadi, Tropical linear regression and mean payoff games: or, how to measure the distance to equilibria, SIAM Journal on Discrete Mathematics, vol. 37, 2023

• Lek-Heng Lim, Mateusz Michałek, and Yang Qi, Best k-layer neural network approximations, Constructive Approximation, Special Issue on Deep Networks in Approximation Theory, 55, 583--604, 2022 (arXiv)

• Pierre Comon, Lek-Heng Lim, Yang Qi, and Ke Ye, Topology of tensor ranks, Advances in Mathematics, vol. 367, 2020 (arXiv)

• Yang Qi, Mateusz Michałek, and Lek-Heng Lim, Complex best r-term approximations almost always exist in finite dimensions, Applied and Computational Harmonic Analysis, vol. 49, 2020 (arXiv)

• Pierre Comon, Yang Qi, and Konstantin Usevich, Identifiability of an X-rank decomposition of polynomial maps, SIAM Journal on Applied Algebra and Geometry, 1 (2017), no. 1, 388--414 (arXiv, code)

• Yang Qi, Pierre Comon, and Lek-Heng Lim, Semialgebraic geometry of nonnegative tensor rank, SIAM Journal on Matrix Analysis and Applications 37 (2016), no. 4, 1556--1580 (arXiv)

• Yang Qi, Pierre Comon, and Lek-Heng Lim, Uniqueness of nonnegative tensor approximations, IEEE Transactions on Information Theory, 62 (2016), no. 4, 2170--2183 (arXiv)

• J.M. Landsberg, Yang Qi, and Ke Ye, On the geometry of tensor network states, Quantum Information and Computation, Vol. 12, No. 3 & 4, 2012 (arXiv)

Conference papers:

• Yang Qi, Pierre Comon, Lek-Heng Lim, and Ke Ye, Path connectedness of tensor ranks, 2019 27th European Signal Processing Conference (EUSIPCO'19), 2019 (HAL)

• Pierre Comon, Yang Qi, and Konstantin Usevich, A polynomial formulation for joint decomposition of symmetric tensors of different orders, International Conference on Latent Variable Analysis and Signal Separation, Springer, Cham, 2015 (HAL)

Surveys:

• Yang Qi, A very brief introduction to nonnegative tensors from the geometric viewpoint, Mathematics, invited contribution to Special Issue "Decomposability of Tensors", 6(11), 2018