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
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
Descent methods for nonnegative matrix factorization
In this paper, we present several descent methods that can be applied to nonnegative matrix factorization and we analyze a recently developped fast block coordinate method called Rank-one Residue Iteration (RRI).
Blondel, Vincent +5 more
core +1 more source
Markup Centrality and International Incidence in Global Production Networks
ABSTRACT This paper develops a framework to measure how markups amplify prices through global production networks and to attribute final‐demand price wedges to upstream country‐industry sources. The approach defines a compound markup as the ratio of observed prices to counterfactual pure‐cost prices that would prevail if all markups in the network were
Constantin Colonescu
wiley +1 more source
Molecular classification of hormone-sensitive and castration-resistant prostate cancer, using nonnegative matrix factorization molecular subtyping of primary and metastatic specimens. [PDF]
Yuen KC +12 more
europepmc +1 more source
Spectral Separation of Quantum Dots within Tissue Equivalent Phantom Using Linear Unmixing Methods in Multispectral Fluorescence Reflectance Imaging [PDF]
Introduction Non-invasive Fluorescent Reflectance Imaging (FRI) is used for accessing physiological and molecular processes in biological media. The aim of this article is to separate the overlapping emission spectra of quantum dots within tissue ...
نجف زاده, ابراهیم +3 more
core
Repelled Point Processes With Application to Numerical Integration
ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
wiley +1 more source
Secured Secret Sharing of QR Codes Based on Nonnegative Matrix Factorization and Regularized Super Resolution Convolutional Neural Network. [PDF]
Velumani R +5 more
europepmc +1 more source
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
In-memory analog computing for non-negative matrix factorization
Non-negative matrix factorization (NMF) is a powerful technique for extracting latent structures from high-dimensional data, with applications spanning recommender systems, bioinformatics, and image processing.
Shiqing Wang +6 more
doaj +1 more source

