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#laplacian — Public Fediverse posts

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  1. Modell257: Debajyoti Choudhuri wrote an introductional paper about the Fractional Laplacian that has applications to diffusion problems, probability theory, as well as image processing. Learn about harmonics that sound like music but are actually composed out of functions that solve the Laplace equation without a source term.

    modellansatz.de/fractional-lap

    #Mathematics #Laplacian #FunctionalAnalytics #Fourier #FractionalDerivatives #SobolevSpaces #PDEs

  2. Modell257: Debajyoti Choudhuri wrote an introductional paper about the Fractional Laplacian that has applications to diffusion problems, probability theory, as well as image processing. Learn about harmonics that sound like music but are actually composed out of functions that solve the Laplace equation without a source term.

    modellansatz.de/fractional-lap

    #Mathematics #Laplacian #FunctionalAnalytics #Fourier #FractionalDerivatives #SobolevSpaces #PDEs

  3. Modell257: Debajyoti Choudhuri wrote an introductional paper about the Fractional Laplacian that has applications to diffusion problems, probability theory, as well as image processing. Learn about harmonics that sound like music but are actually composed out of functions that solve the Laplace equation without a source term.

    modellansatz.de/fractional-lap

    #Mathematics #Laplacian #FunctionalAnalytics #Fourier #FractionalDerivatives #SobolevSpaces #PDEs

  4. Modell257: Debajyoti Choudhuri wrote an introductional paper about the Fractional Laplacian that has applications to diffusion problems, probability theory, as well as image processing. Learn about harmonics that sound like music but are actually composed out of functions that solve the Laplace equation without a source term.

    modellansatz.de/fractional-lap

    #Mathematics #Laplacian #FunctionalAnalytics #Fourier #FractionalDerivatives #SobolevSpaces #PDEs

  5. Modell257: Debajyoti Choudhuri wrote an introductional paper about the Fractional Laplacian that has applications to diffusion problems, probability theory, as well as image processing. Learn about harmonics that sound like music but are actually composed out of functions that solve the Laplace equation without a source term.

    modellansatz.de/fractional-lap

    #Mathematics #Laplacian #FunctionalAnalytics #Fourier #FractionalDerivatives #SobolevSpaces #PDEs

  6. 成仏するために、死してなお自殺を繰り返す幽霊の少女の死の真相を追うアドベンチャーゲーム『久我山栞の死様手帖』公式サイトとSteamストアページが公開。2026年リリース予定
    news.denfaminicogamer.jp/news/

    #denfaminicogamer #ニュース #Grezzz #久我山栞の死様手帖 #Laplacian

  7. 成仏するために、死してなお自殺を繰り返す幽霊の少女の死の真相を追うアドベンチャーゲーム『久我山栞の死様手帖』公式サイトとSteamストアページが公開。2026年リリース予定
    news.denfaminicogamer.jp/news/

    #denfaminicogamer #ニュース #Grezzz #久我山栞の死様手帖 #Laplacian

  8. Randomly thought about this topic tonight. One scary #math symbol that comes up in many places is the #Laplacian, that weird triangle Δ! What even is that? While you can do some smart math things to get an intuition for what it means, you can also try to make some simpler calculations! Turns out, it can be seen as a measure of how much a value at a point differs from its surroundings! Always liked this approach to show it to people, since imho you don't need too much background knowledge!

  9. Randomly thought about this topic tonight. One scary #math symbol that comes up in many places is the #Laplacian, that weird triangle Δ! What even is that? While you can do some smart math things to get an intuition for what it means, you can also try to make some simpler calculations! Turns out, it can be seen as a measure of how much a value at a point differs from its surroundings! Always liked this approach to show it to people, since imho you don't need too much background knowledge!

  10. Randomly thought about this topic tonight. One scary #math symbol that comes up in many places is the #Laplacian, that weird triangle Δ! What even is that? While you can do some smart math things to get an intuition for what it means, you can also try to make some simpler calculations! Turns out, it can be seen as a measure of how much a value at a point differs from its surroundings! Always liked this approach to show it to people, since imho you don't need too much background knowledge!

  11. Randomly thought about this topic tonight. One scary symbol that comes up in many places is the , that weird triangle Δ! What even is that? While you can do some smart math things to get an intuition for what it means, you can also try to make some simpler calculations! Turns out, it can be seen as a measure of how much a value at a point differs from its surroundings! Always liked this approach to show it to people, since imho you don't need too much background knowledge!

  12. Randomly thought about this topic tonight. One scary #math symbol that comes up in many places is the #Laplacian, that weird triangle Δ! What even is that? While you can do some smart math things to get an intuition for what it means, you can also try to make some simpler calculations! Turns out, it can be seen as a measure of how much a value at a point differs from its surroundings! Always liked this approach to show it to people, since imho you don't need too much background knowledge!

  13. 'Radial Basis Approximation of Tensor Fields on Manifolds: From Operator Estimation to Manifold Learning', by John Harlim, Shixiao Willing Jiang, John Wilson Peoples.

    jmlr.org/papers/v24/22-1193.ht

    #laplacians #laplacian #manifold

  14. 'Radial Basis Approximation of Tensor Fields on Manifolds: From Operator Estimation to Manifold Learning', by John Harlim, Shixiao Willing Jiang, John Wilson Peoples.

    jmlr.org/papers/v24/22-1193.ht

    #laplacians #laplacian #manifold

  15. 'Radial Basis Approximation of Tensor Fields on Manifolds: From Operator Estimation to Manifold Learning', by John Harlim, Shixiao Willing Jiang, John Wilson Peoples.

    jmlr.org/papers/v24/22-1193.ht

    #laplacians #laplacian #manifold

  16. 'Radial Basis Approximation of Tensor Fields on Manifolds: From Operator Estimation to Manifold Learning', by John Harlim, Shixiao Willing Jiang, John Wilson Peoples.

    jmlr.org/papers/v24/22-1193.ht

    #laplacians #laplacian #manifold

  17. 'Radial Basis Approximation of Tensor Fields on Manifolds: From Operator Estimation to Manifold Learning', by John Harlim, Shixiao Willing Jiang, John Wilson Peoples.

    jmlr.org/papers/v24/22-1193.ht

    #laplacians #laplacian #manifold

  18. 'Large sample spectral analysis of graph-based multi-manifold clustering', by Nicolas Garcia Trillos, Pengfei He, Chenghui Li.

    jmlr.org/papers/v24/21-1254.ht

    #laplacians #manifolds #laplacian

  19. 'Large sample spectral analysis of graph-based multi-manifold clustering', by Nicolas Garcia Trillos, Pengfei He, Chenghui Li.

    jmlr.org/papers/v24/21-1254.ht

    #laplacians #manifolds #laplacian

  20. 'Large sample spectral analysis of graph-based multi-manifold clustering', by Nicolas Garcia Trillos, Pengfei He, Chenghui Li.

    jmlr.org/papers/v24/21-1254.ht

    #laplacians #manifolds #laplacian

  21. 'Large sample spectral analysis of graph-based multi-manifold clustering', by Nicolas Garcia Trillos, Pengfei He, Chenghui Li.

    jmlr.org/papers/v24/21-1254.ht

    #laplacians #manifolds #laplacian

  22. 'Large sample spectral analysis of graph-based multi-manifold clustering', by Nicolas Garcia Trillos, Pengfei He, Chenghui Li.

    jmlr.org/papers/v24/21-1254.ht

    #laplacians #manifolds #laplacian

  23. 'Implicit Bias of Gradient Descent for Mean Squared Error Regression with Two-Layer Wide Neural Networks', by Hui Jin, Guido Montufar.

    jmlr.org/papers/v24/21-0832.ht

    #gradient #curvature #laplacian

  24. 'Implicit Bias of Gradient Descent for Mean Squared Error Regression with Two-Layer Wide Neural Networks', by Hui Jin, Guido Montufar.

    jmlr.org/papers/v24/21-0832.ht

    #gradient #curvature #laplacian

  25. 'Implicit Bias of Gradient Descent for Mean Squared Error Regression with Two-Layer Wide Neural Networks', by Hui Jin, Guido Montufar.

    jmlr.org/papers/v24/21-0832.ht

    #gradient #curvature #laplacian

  26. 'Implicit Bias of Gradient Descent for Mean Squared Error Regression with Two-Layer Wide Neural Networks', by Hui Jin, Guido Montufar.

    jmlr.org/papers/v24/21-0832.ht

    #gradient #curvature #laplacian

  27. 'Implicit Bias of Gradient Descent for Mean Squared Error Regression with Two-Layer Wide Neural Networks', by Hui Jin, Guido Montufar.

    jmlr.org/papers/v24/21-0832.ht

    #gradient #curvature #laplacian

  28. #AMDlabnotes presents two brand new blog posts covering #GPU kernel optimization tips and tricks! 🔥

    Firstly, we present a post about understanding and controlling register pressure:
    gpuopen.com/learn/amd-lab-note

    And secondly, we present the third part of the Finite Difference Method #Laplacian series.

    This blog covers even more optimizations to maximize performance on #AMD GPUs:
    gpuopen.com/learn/amd-lab-note

  29. #AMDlabnotes presents two brand new blog posts covering #GPU kernel optimization tips and tricks! 🔥

    Firstly, we present a post about understanding and controlling register pressure:
    gpuopen.com/learn/amd-lab-note

    And secondly, we present the third part of the Finite Difference Method #Laplacian series.

    This blog covers even more optimizations to maximize performance on #AMD GPUs:
    gpuopen.com/learn/amd-lab-note

  30. #AMDlabnotes presents two brand new blog posts covering #GPU kernel optimization tips and tricks! 🔥

    Firstly, we present a post about understanding and controlling register pressure:
    gpuopen.com/learn/amd-lab-note

    And secondly, we present the third part of the Finite Difference Method #Laplacian series.

    This blog covers even more optimizations to maximize performance on #AMD GPUs:
    gpuopen.com/learn/amd-lab-note

  31. #AMDlabnotes presents two brand new blog posts covering #GPU kernel optimization tips and tricks! 🔥

    Firstly, we present a post about understanding and controlling register pressure:
    gpuopen.com/learn/amd-lab-note

    And secondly, we present the third part of the Finite Difference Method #Laplacian series.

    This blog covers even more optimizations to maximize performance on #AMD GPUs:
    gpuopen.com/learn/amd-lab-note

  32. #AMDlabnotes presents two brand new blog posts covering #GPU kernel optimization tips and tricks! 🔥

    Firstly, we present a post about understanding and controlling register pressure:
    gpuopen.com/learn/amd-lab-note

    And secondly, we present the third part of the Finite Difference Method #Laplacian series.

    This blog covers even more optimizations to maximize performance on #AMD GPUs:
    gpuopen.com/learn/amd-lab-note

  33. Why does anyone like the notation \(\Delta\) for the #Laplacian? I always thought that \(\nabla^2\) was so much more suggestive and lends itself so nicely to the equation \(\nabla^2u = \nabla \cdot (\nabla u)\).

    Is it because the Laplacian is so fundamental that it gets annoying to have to always do the superscript 2?

  34. Why does anyone like the notation \(\Delta\) for the #Laplacian? I always thought that \(\nabla^2\) was so much more suggestive and lends itself so nicely to the equation \(\nabla^2u = \nabla \cdot (\nabla u)\).

    Is it because the Laplacian is so fundamental that it gets annoying to have to always do the superscript 2?