A probabilistic diagnostic for Laplace approximations: Introduction and experimentation
Canadian Journal of Statistics, EarlyView.Abstract Many models require integrals of high‐dimensional functions: for instance, to obtain marginal likelihoods. Such integrals may be intractable, or too expensive to compute numerically. Instead, we can use the Laplace approximation (LA). The LA is exact if the function is proportional to a normal density; its effectiveness therefore depends on ...
Shaun McDonald, Dave Campbell
wiley +1 more source
Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform. [PDF]
Sci Rep, 2020 Kim AS.
europepmc +1 more source
New approach of analytical inversion of Laplace transform for some cases
, 2019 Zinaida Zhuravlova
openalex +1 more source
Hidden Markov graphical models with state‐dependent generalized hyperbolic distributions
Canadian Journal of Statistics, EarlyView.Abstract In this article, we develop a novel hidden Markov graphical model to investigate time‐varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and accommodate shape features embedded in financial time series, we rely upon the generalized hyperbolic family of ...
Beatrice Foroni +2 more
wiley +1 more source
Inverse Laplace transform and multiexponential fitting analysis of T2 relaxometry data: a phantom study with aqueous and fat containing samples. [PDF]
Eur Radiol Exp, 2020 Ioannidis GS +5 more
europepmc +1 more source
Comment on “A Laplace Transform Proof of the Theorem of Moments for the Instantaneous Unit Hydrograph” by M. H. Diskin [PDF]
, 1968 Kieran O'Connor, J.E. Nash
openalex +1 more source
Chemistry–Methods, EarlyView.Applying high gradients during diffusion nuclear magnetic resonance experiments allows for the determination of isolated microenvironments in ternary solutions composed of an imidazolium‐based ionic liquid, water and alkali metal halide. Two separate water populations are detected, forming either the isolated solvent network or the first solvation ...
Katarzyna Dziubińska‐Kühn +4 more
wiley +1 more source
On a Santaló point for Nakamura-Tsuji’s Laplace transform inequality
Forum of Mathematics, SigmaNakamura and Tsuji recently obtained an integral inequality involving a Laplace transform of even functions that implies, at the limit, the Blaschke-Santaló inequality in its functional form.
Dario Cordero-Erausquin +2 more
doaj +1 more source
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, EarlyView.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley +1 more source