The avatar for @renatoppl
Renato Paes Leme
Published
Edited
Mar 9, 2019
1 fork
14 stars
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
function f(x) { // Convex potential
return (3 * (x[0] + .8) * (x[0] + .8) + 7 * x[1] * x[1]);
}
Insert cell
function df(x) {
// Gradient of the potential [ df/dx_1, df/dx_2 ]
return [6 * (x[0] + .8), 14 * x[1]];
}
Insert cell
Insert cell
function langevin(f, x, delta) {
var d = df(x);
return [x[0] - delta * d[0] + Math.sqrt(2*delta) * Gaussian(),
x[1] - delta * d[1] + Math.sqrt(2*delta) * Gaussian()];
}
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
function coupled_langevin(f, x, delta) {
var noise = [Gaussian(), Gaussian()];
var next = [];
for (var i = 0; i < x.length; ++i) {
var d = df(x[i]);
next.push([x[i][0] - delta * d[0] + Math.sqrt(2*delta) * noise[0],
x[i][1] - delta * d[1] + Math.sqrt(2*delta) * noise[1]]);
}
return next;
}
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell

One platform to build and deploy the best data apps

Experiment and prototype by building visualizations in live JavaScript notebooks. Collaborate with your team and decide which concepts to build out.
Use Observable Framework to build data apps locally. Use data loaders to build in any language or library, including Python, SQL, and R.
Seamlessly deploy to Observable. Test before you ship, use automatic deploy-on-commit, and ensure your projects are always up-to-date.
Learn more