The Natural Components of a Regular Linear System
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source
Neighborhood nonnegative matrix factorization identifies patterns and spatially-variable genes in large-scale spatial transcriptomics data. [PDF]
Laursen R +4 more
europepmc +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
Joint similarity nonnegative matrix factorization model for identification of recurrence-related association patterns in tumor. [PDF]
Deng J +7 more
europepmc +1 more source
Trade and Selection With Heterogeneous Firms and Perfect Competition
ABSTRACT This paper extends the Heckscher–Ohlin–Samuelson framework to allow for heterogeneous firms with capacity constraints. We show that the central theorems of the HOS model (as well as their standard generalizations via duality) carry over to our setting.
Xue Bai +3 more
wiley +1 more source
Correction: Nonnegative matrix factorization for analyzing state dependent neuronal network dynamics in calcium recordings. [PDF]
Carbonero D +3 more
europepmc +1 more source
Dimension reduction for optimal design problems with Kronecker product structure
Abstract This paper is motivated by the problem of optimal allocation of trials in multi‐environment crop variety testing with a large number of varieties. Optimizing the allocation of trials results in the minimization of a design criterion with a Kronecker product structure in the information matrix.
Taras Bodnar, Maryna Prus
wiley +1 more source
Nonnegative matrix factorization incorporating domain specific constraints for four dimensional scanning transmission electron microscopy. [PDF]
Kimoto K +7 more
europepmc +1 more source
ABSTRACT Purpose Oscillating‐gradient spin‐echo (OGSE) diffusion MRI probes cell geometry and membrane integrity through the frequency‐dependence of kurtosis, but prior studies have reported inconsistent findings depending on how frequency is varied. We compared frequency‐dependent kurtosis in the human brain under two regimes: varying frequency with ...
Dongsuk Sung +8 more
wiley +1 more source
An optimal pairwise merge algorithm improves the quality and consistency of nonnegative matrix factorization. [PDF]
Guo Y, Holy TE.
europepmc +1 more source

