Results 141 to 150 of about 343,728 (300)
Boundary triples and Weyl functions for singular perturbations of self-adjoint operators
Given the symmetric operator $A_N$ obtained by restricting the self-adjoint operator $A$ to $N$, a linear dense set, closed with respect to the graph norm, we determine a convenient boundary triple for the adjoint $A_N^*$ and the corresponding Weyl ...
Posilicano, Andrea
core
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
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)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Abstract Bayesian estimation enables uncertainty quantification, but analytical implementation is often intractable. As an approximate approach, the Markov Chain Monte Carlo (MCMC) method is widely used, though it entails a high computational cost due to frequent evaluations of the likelihood function.
Tatsuki Maruchi +2 more
wiley +1 more source
ABSTRACT Purpose First‐pass perfusion cardiovascular MR (FPP‐CMR) enables the non‐invasive diagnosis of microcirculation and coronary artery disease. In free‐breathing FPP‐CMR, motion correction is usually performed in the image domain, requiring an initial reconstruction.
Elisa Moya‐Sáez +10 more
wiley +1 more source
On MAP Estimates and Source Conditions for Drift Identification in SDEs
ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
Iterative Krylov Subspace Methods for Linear Port‐Hamiltonian Systems
ABSTRACT In this work, we present a structure‐preserving Krylov subspace iteration scheme for solving the equation systems that arise from the Gauss integration of linear energy‐conserving and dissipative differential systems (e.g., Poisson systems, gradient systems, and port‐Hamiltonian systems).
Stefan Maier, Nicole Marheineke
wiley +1 more source
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause +5 more
wiley +1 more source
Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems
ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik +4 more
wiley +1 more source

