Results 281 to 290 of about 5,889,360 (355)

Convergence properties of dynamic mode decomposition for analytic interval maps

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji   +3 more
wiley   +1 more source

Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley   +1 more source

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

Evolving Real‐World Data and Evidence Use for New Drugs and Regenerative Medical Products Approvals in Japan—An Analysis of the 6‐Year Trend

open access: yesClinical Pharmacology &Therapeutics, EarlyView.
Several regulatory initiatives have been made to clarify the acceptability and requirements of real‐world data and real‐world evidence (RWD/E) for the benefit/risk assessment of new medical products in Japan. The objectives of this review were to characterize the use of RWD/E in regulatory applications of new medical products and to describe the ...
Suguru Okami   +2 more
wiley   +1 more source

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