Zobrazeno 1 - 10
of 98
pro vyhledávání: '"SEIGAL, ANNA"'
The classical trisecant lemma says that a general chord of a non-degenerate space curve is not a trisecant; that is, the chord only meets the curve in two points. The generalized trisecant lemma extends the result to higher-dimensional varieties. It
Externí odkaz:
http://arxiv.org/abs/2409.01356
Linear causal disentanglement is a recent method in causal representation learning to describe a collection of observed variables via latent variables with causal dependencies between them. It can be viewed as a generalization of both independent com
Externí odkaz:
http://arxiv.org/abs/2407.04605
Visualizing data and finding patterns in data are ubiquitous problems in the sciences. Increasingly, applications seek signal and structure in a contrastive setting: a foreground dataset relative to a background dataset. For this purpose, we propose
Externí odkaz:
http://arxiv.org/abs/2407.02357
Autor:
Wang, Kexin, Seigal, Anna
Independent component analysis (ICA) studies mixtures of independent latent sources. An ICA model is identifiable if the mixing can be recovered uniquely. It is well-known that ICA is identifiable if and only if at most one source is Gaussian. Howeve
Externí odkaz:
http://arxiv.org/abs/2401.14709
We import the algebro-geometric notion of a complete collineation into the study of maximum likelihood estimation in directed Gaussian graphical models. A complete collineation produces a perturbation of sample data, which we call a stabilisation of
Externí odkaz:
http://arxiv.org/abs/2311.03329
The signature of a rectifiable path is a tensor series in the tensor algebra whose coefficients are definite iterated integrals of the path. The signature characterises the path up to a generalised form of reparametrisation. It is a classical result
Externí odkaz:
http://arxiv.org/abs/2305.19210
We define the supermodular rank of a function on a lattice. This is the smallest number of terms needed to decompose it into a sum of supermodular functions. The supermodular summands are defined with respect to different partial orders. We character
Externí odkaz:
http://arxiv.org/abs/2305.14632
We count singular vector tuples of a system of tensors assigned to the edges of a directed hypergraph. To do so, we study the generalisation of quivers to directed hypergraphs. Assigning vector spaces to the nodes of a hypergraph and multilinear maps
Externí odkaz:
http://arxiv.org/abs/2305.05622
We study multivariate Gaussian statistical models whose maximum likelihood estimator (MLE) is a rational function of the observed data. We establish a one-to-one correspondence between such models and the solutions to a nonlinear first-order partial
Externí odkaz:
http://arxiv.org/abs/2304.12054
Causal disentanglement seeks a representation of data involving latent variables that relate to one another via a causal model. A representation is identifiable if both the latent model and the transformation from latent to observed variables are uni
Externí odkaz:
http://arxiv.org/abs/2211.16467