Results 101 to 110 of about 160,633 (221)
ABSTRACT This study develops a novel multivariate stochastic framework for assessing systemic risks, such as climate and nature‐related shocks, within production or financial networks. By embedding a linear stochastic fluid network, interpretable as a generalized vector Ornstein–Uhlenbeck process, into the production network of interdependent ...
Giovanni Amici +3 more
wiley +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
Mirror Descent and Exponentiated Gradient Algorithms Using Trace-Form Entropies. [PDF]
Cichocki A +3 more
europepmc +1 more source
Least Trimmed Squares: Cointegration and Outliers
ABSTRACT When applying the cointegrated autoregressive distributed lag model it is common to include indicator variables for outliers. This is often done in a somewhat ad hoc way. Least Trimmed Squares estimation provides a more systematic approach. This estimator is robust to a large number of outliers of many types.
Vanessa Berenguer‐Rico, Bent Nielsen
wiley +1 more source
Fast automated adjoints for spectral PDE solvers. [PDF]
Skene CS, Burns KJ.
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
Algebraic methods and computational strategies for pseudoinverse-based MR image reconstruction (Pinv-Recon). [PDF]
Yeung K +11 more
europepmc +1 more source
Function Art: Linking Mathematics, Technology, and Visual Arts
ABSTRACT This study investigated students' understanding of mathematical functions and strategies to create artwork using GeoGebra. It was framed by the principles of constructionism and examined how students use functions in creating artworks. We gathered data from students' artworks using the Algebra view and the Construction Protocol in the GeoGebra
Guillermo Bautista Jr +5 more
wiley +1 more source
Parametrized systems of generalized polynomial inequalities via linear algebra and convex geometry. [PDF]
Müller S, Regensburger G.
europepmc +1 more source
Abstract Long‐duration spaceflight represents an extreme challenge, triggering adaptive responses including spaceflight‐associated neuro‐ocular syndrome, characterized by diminished visual acuity and ocular changes, which is a significant health risk for Mars missions.
Ge Tang +19 more
wiley +1 more source

