Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental. - Carlos Améndola; Mathias Drton; Bernd Sturmfels (MACIS, 2015)

The maximum likelihood degree of toric varieties. - Carlos Améndola; Nathan Bliss; Isaac Burke; Courtney R. Gibbons; Martin Helmer; Serkan Hosten; Evan D. Nash; Jose Israel Rodriguez; Daniel Smolkin (J. Symb. Comput., 2019)

Discrete Gaussian Distributions via Theta Functions. - Daniele Agostini; Carlos Améndola (SIAM J. Appl. Algebra Geom., 2019)

Structure Learning for Cyclic Linear Causal Models. - Carlos Améndola; Philipp Dettling; Mathias Drton; Federica Onori; Jun Wu (UAI, 2020)

Markov equivalence of max-linear Bayesian networks. - Carlos Améndola; Benjamin Hollering; Seth Sullivant; Ngoc Tran (UAI, 2021)

Moment Identifiability of Homoscedastic Gaussian Mixtures. - Daniele Agostini; Carlos Améndola; Kristian Ranestad (Found. Comput. Math., 2021)

Invariant Theory and Scaling Algorithms for Maximum Likelihood Estimation. - Carlos Améndola; Kathlén Kohn; Philipp Reichenbach; Anna Seigal (SIAM J. Appl. Algebra Geom., 2021)

Autocovariance varieties of moving average random fields. - Carlos Améndola; Viet Son Pham (J. Symb. Comput., 2022)

Convex Hulls of Curves: Volumes and Signatures. - Carlos Améndola; Darrick Lee; Chiara Meroni (GSI (1), 2023)

Identifiability in Continuous Lyapunov Models. - Philipp Dettling; Roser Homs; Carlos Améndola; Mathias Drton; Niels Richard Hansen (SIAM J. Matrix Anal. Appl., 2023)

Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator. - Carlos Améndola; Lukas Gustafsson; Kathlén Kohn; Orlando Marigliano; Anna Seigal (SIAM J. Appl. Algebra Geom., 2024)

Corrigendum: Invariant Theory and Scaling Algorithms for Maximum Likelihood Estimation. - Carlos Améndola; Kathlén Kohn; Philipp Reichenbach; Anna Seigal (SIAM J. Appl. Algebra Geom., 2024)

A Bridge between Invariant Theory and Maximum Likelihood Estimation. - Carlos Améndola; Kathlén Kohn; Philipp Reichenbach; Anna Seigal (SIAM Rev., 2024)

Estimating Gaussian Mixtures Using Sparse Polynomial Moment Systems. - Julia Lindberg; Carlos Améndola; Jose Israel Rodriguez (SIAM J. Math. Data Sci., 2025)