Publications

Nathaël Da Costa, Cyrus Mostajeran, Juan-Pablo Ortega, “The Gaussian kernel on the circle and spaces that admit isometric embeddings of the circle." In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, vol 14071. Springer, Cham. (2023)

Salem Said, Cyrus Mostajeran, “Determinantal Expressions of Certain Integrals on Symmetric Spaces." In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, vol 14071. Springer, Cham. (2023)

Tayler S. Hebner, Riley G.A. Bowman, Daniel Duffy, Cyrus Mostajeran, Itay Griniasty, Itai Cohen, Mark Warner, Christopher N. Bowman, and Timothy J. White, "Discontinuous metric programming in liquid crystalline elastomers," ACS Applied Materials and Interfaces (2023) 

Berlin Chen, Cyrus Mostajeran, Salem Said, "Geometric learning of hidden Markov models via a method of moments algorithm," Proceedings of the 41st International Conference on Bayesian and Maximum Entropy methods in Science and Engineering (2022) 

Salem Said, Simon Heuveline, Cyrus Mostajeran, "Riemannian statistics meets random matrix theory: towards learning from high-dimensional covariance matrices," IEEE Transactions on Information Theory (2022)

Cyrus Mostajeran, Jin Gyu Lee, Graham Van Goffrier, Rodolphe Sepulchre, "Target formation on the circle through monotone system design," Proceedings of the IEEE Conference on Decision and Control (2021)

Itay Griniasty, Cyrus Mostajeran, Itai Cohen, "Multivalued inverse design: multiple 3D surfaces from one flat sheet," Physical Review Letters (2021)

Simon Heuveline, Salem Said, Cyrus Mostajeran, "Gaussian distributions on Riemannian symmetric spaces in the large N limit," Proceedings of the International Conference on Geometric Science of Information (2021)

Quinten Tupker, Salem Said, Cyrus Mostajeran, "Online learning of Riemannian hidden Markov models in homogeneous Hadamard spaces," Proceedings of the International Conference on Geometric Science of Information (2021)

Graham Van Goffrier, Cyrus Mostajeran, Rodolphe Sepulchre, "Inductive geometric matrix midranges," Proceedings of the 24th International Symposium on Mathematical Theory of Networks and Systems (MTNS), IFAC (2021) 

Cyrus Mostajeran, Christian Grussler, Rodolphe Sepulchre, "Geometric matrix midranges," SIAM Journal on Matrix Analysis and Applications (2020)

Cyrus Mostajeran, Christian Grussler, Rodolphe Sepulchre, "Affine-invariant midrange statistics," Proceedings of the International Conference on Geometric Science of Information (2019)

Cyrus Mostajeran, Rodolphe Sepulchre, "Monotonicity on homogeneous spaces," Mathematics of Control, Signals, and Systems (2018)

Cyrus Mostajeran, Rodolphe Sepulchre, "Ordering positive definite matrices," Information Geometry (2018)

Cyrus Mostajeran, Rodolphe Sepulchre, "Positivity, Monotonicity, and Consensus on Lie Groups," SIAM Journal on Control and Optimization (2018)

Ben Kowalski, Cyrus Mostajeran, Mark Warner, Timothy J. White, "Curvature by design and on demand in liquid crystal elastomers," Physical Review E (2018)

Mark Warner, Cyrus Mostajeran, "Nematic director fields and topographies of solid shells of revolution," Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (2018)

Cyrus Mostajeran, Mark Warner, Carl Modes, "Frame, metric and geodesic evolution in shape changing nematic shells," Soft Matter (2017)

 Cyrus Mostajeran, Rodolphe Sepulchre, "Affine-invariant orders on the set of positive-definite matrices," Proceedings of the Conference on Geometric Science of Information (2017)

Cyrus Mostajeran, Rodolphe Sepulchre, "Differential positivity with respect to cones of rank k," Proceedings of the 20th IFAC World Congress (2017)

Cyrus Mostajeran, Mark Warner, Taylor H. Ware, Timothy J. White, "Encoding Gaussian curvature in glassy and elastomeric liquid crystal solids," Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (2016)

Cyrus Mostajeran, Rodolphe Sepulchre, "Invariant differential positivity and consensus on Lie groups," Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems (2016) 

Nathaël Da Costa, Cyrus Mostajeran, Juan-Pablo Ortega, Salem Said "Invariant kernels on Riemannian symmetric spaces: a harmonic-analytic approach" (2023) 

Nathaël Da Costa, Cyrus Mostajeran, Juan-Pablo Ortega, Salem Said "Geometric learning with positively decomposable kernels" (2023)