Search Results - "Améndola, Carlos"

Autocovariance varieties of moving average random fields by Améndola, Carlos, Pham, Viet Son

“…We study the autocovariance functions of moving average random fields over the integer lattice Zd from an algebraic perspective. These autocovariances are…”
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Algebraic Identifiability of Gaussian Mixtures by Améndola, Carlos, Ranestad, Kristian, Sturmfels, Bernd

“…Abstract We prove that all moment varieties of univariate Gaussian mixtures have the expected dimension. Our approach rests on intersection theory and…”
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Conditional independence in max-linear Bayesian networks by Améndola, Carlos, Klüppelberg, Claudia, Lauritzen, Steffen, Tran, Ngoc M.

“…Motivated by extreme value theory, max-linear Bayesian networks have been recently introduced and studied as an alternative to linear structural equation…”
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Moment Identifiability of Homoscedastic Gaussian Mixtures by Agostini, Daniele, Améndola, Carlos, Ranestad, Kristian

“…We consider the problem of identifying a mixture of Gaussian distributions with the same unknown covariance matrix by their sequence of moments up to certain…”
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VARIETIES OF SIGNATURE TENSORS by AMÉNDOLA, CARLOS, FRIZ, PETER, STURMFELS, BERND

“…The signature of a parametric curve is a sequence of tensors whose entries are iterated integrals. This construction is central to the theory of rough paths in…”
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Decomposing tensor spaces via path signatures by Améndola, Carlos, Galuppi, Francesco, Ríos Ortiz, Ángel David, Santarsiero, Pierpaola, Seynnaeve, Tim

“…The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of…”
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Moment Identifiability of Homoscedastic Gaussian Mixtures by Agostini, Daniele, Améndola, Carlos, Ranestad, Kristian

“…We consider the problem of identifying a mixture of Gaussian distributions with the same unknown covariance matrix by their sequence of moments up to certain…”
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Tropical combinatorics of max-linear Bayesian networks by Améndola, Carlos, Ferry, Kamillo

“…A polytrope is a tropical polyhedron that is also classically convex. We study the tropical combinatorial types of polytropes associated to weighted directed…”
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Likelihood Geometry of Reflexive Polytopes by Améndola, Carlos, Oldekop, Janike

“…Alg. Stat. 15 (2024) 113-143 We study the problem of maximum likelihood (ML) estimation for statistical models defined by reflexive polytopes. Our focus is on…”
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An Invitation to Tropical Alexandrov Curvature by Améndola, Carlos, Monod, Anthea

“…Alg. Stat. 14 (2023) 181-214 We study Alexandrov curvature in the tropical projective torus with respect to the tropical metric, which has been useful in…”
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Likelihood Geometry of Correlation Models by Améndola, Carlos, Zwiernik, Piotr

“…Correlation matrices are standardized covariance matrices. They form an affine space of symmetric matrices defined by setting the diagonal entries to one. We…”
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Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks by Henriksson, Oskar, Améndola, Carlos, Rodriguez, Jose Israel, Yu, Polly Y

“…A fundamental question in the field of molecular computation is what computational tasks a biochemical system can carry out. In this work, we focus on the…”
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On the maximum likelihood degree for Gaussian graphical models by Améndola, Carlos, Dinu, Rodica Andreea, Michałek, Mateusz, Vodička, Martin

“…In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML-degree behaves monotonically on induced…”
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Convex Hulls of Curves: Volumes and Signatures by Améndola, Carlos, Lee, Darrick, Meroni, Chiara

“…Taking the convex hull of a curve is a natural construction in computational geometry. On the other hand, path signatures, central in stochastic analysis,…”
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Discrete Gaussian distributions via theta functions by Agostini, Daniele, Améndola, Carlos

“…We study a discrete analogue of the classical multivariate Gaussian distribution. It is supported on the integer lattice and is parametrized by the Riemann…”
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Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator by Améndola, Carlos, Gustafsson, Lukas, Kohn, Kathlén, Marigliano, Orlando, Seigal, Anna

“…We study multivariate Gaussian statistical models whose maximum likelihood estimator (MLE) is a rational function of the observed data. We establish a…”
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Estimating Gaussian mixtures using sparse polynomial moment systems by Lindberg, Julia, Améndola, Carlos, Rodriguez, Jose Israel

“…The method of moments is a classical statistical technique for density estimation that solves a system of moment equations to estimate the parameters of an…”
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Autocovariance Varieties of Moving Average Random Fields by Améndola, Carlos, Pham, Viet Son

“…We study the autocovariance functions of moving average random fields over the integer lattice $\mathbb{Z}^d$ from an algebraic perspective. These…”
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Third-Order Moment Varieties of Linear Non-Gaussian Graphical Models by Améndola, Carlos, Drton, Mathias, Grosdos, Alexandros, Homs, Roser, Robeva, Elina

“…In this paper we study linear non-Gaussian graphical models from the perspective of algebraic statistics. These are acyclic causal models in which each…”
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Decomposing Tensor Spaces via Path Signatures by Améndola, Carlos, Galuppi, Francesco, Ortiz, Ángel David Ríos, Santarsiero, Pierpaola, Seynnaeve, Tim

“…The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of…”
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