4 papers
Universality of Benign Overfitting in Binary Linear Classification
Ichiro Hashimoto, Stanislav Volgushev, Piotr Zwiernik
The practical success of deep learning has led to the discovery of several surprising phenomena. One of these phenomena, that has spurred intense theoretical research, is ``benign…
Causal discovery under mean independence and linearity
Geert Mesters, Alvaro Ribot, Anna Seigal +1
Causal discovery methods such as LiNGAM identify causal structure from observational data by assuming mutually independent disturbances. This assumption is fragile: shared volatili…
Probabilistic PCA on tensors
Yaoming Zhen, Piotr Zwiernik
In probabilistic principal component analysis (PPCA), an observed vector is modeled as a linear transformation of a low-dimensional Gaussian factor plus isotropic noise. We general…
Tensors in algebraic statistics
Marta Casanellas, Luis Sierra, Piotr Zwiernik
Tensors are ubiquitous in statistics and data analysis. The central object that links data science to tensor theory and algebra is that of a model with latent variables. We provide…