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math.AG2024
A Real Generalized Trisecant Trichotomy
Kristian Ranestad, Anna Seigal, Kexin Wang
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 t…
math.ST2024
Contrastive independent component analysis
Kexin Wang, Aida Maraj, Anna Seigal
In recent years, there has been growing interest in jointly analyzing a foreground dataset, representing an experimental group, and a background dataset, representing a control gro…
math.ST2024
Identifiability of overcomplete independent component analysis
Kexin Wang, Anna Seigal
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…