16 citations · 35 across the 4 of their papers we have counts for
4 papers
Decomposing Tensor Spaces via Path Signatures
Carlos Améndola, Francesco Galuppi, Ángel David Ríos Ortiz +2
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 all signature tensors…
Structure Learning for Cyclic Linear Causal Models
Carlos Améndola, Philipp Dettling, Mathias Drton +2
We consider the problem of structure learning for linear causal models based on observational data. We treat models given by possibly cyclic mixed graphs, which allow for feedback…
Varieties of Signature Tensors
Carlos Améndola, Peter Friz, Bernd Sturmfels
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 stochastic analysis.…
Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental
Carlos Améndola, Mathias Drton, Bernd Sturmfels
Gaussian mixture models are central to classical statistics, widely used in the information sciences, and have a rich mathematical structure. We examine their maximum likelihood es…