Approximate inference methods like the Laplace method, Laplace approximations and variational methods, amongst others, are popular methods when exact inference is not feasible due to the complexity of the model or the abundance of data. In this paper...
In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete
theory and statistics, the Laplace distribution is a continuous probability distribution named after Pierre-Simon Laplace. It is also sometimes called
Laplace is an open-source project to enable screen sharing directly via browser. Based on WebRTC for low latency peer-to-peer connections, and WebSocket implemented in golang for signaling. (⭐ 403)
In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable
Laplace approximations for Deep Learning. (⭐ 535)
This is an open source PINN code for solving the Young-Laplace equation in a tubular domain (⭐ 9)
and gas, or between two immiscible liquids. The Laplace pressure is determined from the Young–Laplace equation given as Δ P ≡ P inside − P outside = γ
Let $S$ be a Damek-Ricci space equipped with the Laplace-Beltrami operator $Δ$. In this paper we characterize all eigenfunctions of $Δ$ through sphere, ball and shell averages as the radius (of sphere, ball or shell) tends to infinity....
This paper is about a method for solving infinite series in closed form by using inverse and forward Laplace transforms. The resulting integral is to be solved instead. The method is extended by parametrizing the series. A further Laplace transform w...
The Dirichlet eigenvalues of the Laplace-Beltrami operator are larger on a flat disc than on any other surface of revoltuion immersed in Euclidean space with the same boundary....
This paper derives integral representations for the Black-Scholes price of arithmetic-average Asian options. Their proof is by Laplace inverting the 1992 Laplace transform of Geman-Yor using complex analytic methods. The analysis ultimately rests o...
A stability analysis of the Borel-Laplace series summation technique, used as explicit time integrator, is carried out. Its numerical performance on stiff and non-stiff problems is analyzed. Applications to ordinary and partial differential equations...
We revisit, improve and complete some recent estimates of the $0^{+}$ and $1^-$ open charm $(\bar c \bar d)(us)$ tetraquarks and the corresponding molecules masses and decay constants from QCD spectral sum rules (QSSR) by using QCD Laplace sum rule (...
We take attention to the singular behavior of the Laplace operator in spherical coordinates, which was established in our earlier work. This singularity has many non-trivial consequences. In this article we consider only the simplest ones, which are...
In this paper we present a pseudospectral method in the disk. Unlike the methods known until now, the disk is not duplicated. Moreover, we solve the Laplace equation subjected to nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the...
Laplace formulated the mathematical theory of interparticulate forces which could be applied to mechanical, thermal, and optical phenomena. This theory was replaced in the 1820s, but its …
Laplace's achievements in applied mathematics and astronomy are many and far reaching. Starting in 1773, he applied his mathematical skills to problems in celestial mechanics.
<p>Pierre-Simon Laplace (1749-1827) was a prominent French mathematician and astronomer, renowned for his foundational work in probability theory and celestial mechanics.
Pierre-Simon Laplace was a prominent French mathematical physicist and astronomer of the 19th century, who made crucial contributions in the arena of planetary motion by applying Sir Isaac …