Code Monkey home page Code Monkey logo

Comments (3)

zongyi-li avatar zongyi-li commented on May 26, 2024 3

Hi @florianwechsung ,
Thanks for the catch! We will update it in the paper. I guess we didn't add the location (x) in the earlier version of the implementation, but later we found it helpful to capture location-wise and non-periodic information.
v_0(x) = P(x, a(x)) is correct. It's also included in the previous paper GNO, Eq 7.

from neuraloperator.

zongyi-li avatar zongyi-li commented on May 26, 2024

For 1d, the input v_0(x) = (x, a(x)), the location (1d) and the input function.
For 2d, the input v_0(x) = (x, y, a(x,y)), the location (2d) and the input function.

For 2d_rnn, the input v_0(x, t) = (x, y, u(x,y,t-10), u(x,y,t-9), ..., u(x,y,t-1)), the location (2d) and the input function of the first 10 time-steps.
For 3d, the input v_0(x, t) = (x, y, t, u(x,y,1), u(x,y,2), ..., u(x,y,10)), the location (3d) and the input function of the first 10 time-steps.

Hope it helps!

from neuraloperator.

florianwechsung avatar florianwechsung commented on May 26, 2024

Hi @zongyi-li ,

this definition of the input first layer seems to be different to what you claim to do in the paper, doesn't it? There you write (~line 4 of Section 3), that v_0(x) = P(a(x)). If I understand your comment above correctly, that should actually be
v_0(x) = P(x, a(x)) for 1D example
v_0(x) = P(x, y, a(x, y)) for the 2D example
etc.. Is that correct?

from neuraloperator.

Related Issues (20)

Recommend Projects

  • React photo React

    A declarative, efficient, and flexible JavaScript library for building user interfaces.

  • Vue.js photo Vue.js

    🖖 Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.

  • Typescript photo Typescript

    TypeScript is a superset of JavaScript that compiles to clean JavaScript output.

  • TensorFlow photo TensorFlow

    An Open Source Machine Learning Framework for Everyone

  • Django photo Django

    The Web framework for perfectionists with deadlines.

  • D3 photo D3

    Bring data to life with SVG, Canvas and HTML. 📊📈🎉

Recommend Topics

  • javascript

    JavaScript (JS) is a lightweight interpreted programming language with first-class functions.

  • web

    Some thing interesting about web. New door for the world.

  • server

    A server is a program made to process requests and deliver data to clients.

  • Machine learning

    Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.

  • Game

    Some thing interesting about game, make everyone happy.

Recommend Org

  • Facebook photo Facebook

    We are working to build community through open source technology. NB: members must have two-factor auth.

  • Microsoft photo Microsoft

    Open source projects and samples from Microsoft.

  • Google photo Google

    Google ❤️ Open Source for everyone.

  • D3 photo D3

    Data-Driven Documents codes.