Abstract We investigate the convergence of entire Lagrange interpolations and Hermite exponential type $$\tau $$ τ , as \rightarrow \infty xmlns:mml="http://www.w3.org/1998/Math/MathML">τ→∞ in weighted $$L^p$$ xmlns:mml="http://w...

Unsupervised learning strategy is widely adopted by the deformable registration models due to lack of ground truth deformation fields. These typically depend on intensity-based similarity loss obtain convergence. Despite success, such dependence insufficient. For mono-modality image, well-aligned two images not only have indistinguishable intensity differences, but also are close in statistical...

The weighted histogram analysis method (WHAM) has become the standard technique for the analysis of umbrella sampling simulations. In this article, we address the challenges (1) of obtaining fast and accurate solutions of the coupled nonlinear WHAM equations, (2) of quantifying the statistical errors of the resulting free energies, (3) of diagnosing possible systematic errors, and (4) of optima...