LFA seminar

Learning via Functional Analysis

Spring 2020

  • 3/6 Reproducing kernel Hilbert space (1) 許郁琪

  • 3/13 Functional analysis (1) 蔡約秩

  • 3/27 Manifold Learning (1) 李沂樺

  • 4/10 Kernel method (1) 郭芝融

  • 4/17 Laplacian and heat kernel 林立人

  • 4/24 Reproducing kernel Hilbert space (2) 許郁琪

  • 5/1 Manifold Learning (2) 李沂樺

  • 5/8 Functional analysis (2) 蔡約秩

  • 5/15 Kernel method (2) 陳志偉、郭芝融

  • 5/29a Reproducing kernel Hilbert space (3) 許郁琪

  • 5/29b Manifold Learning (3) 李沂樺

  • 6/12 Functional analysis (3) 蔡約秩

  • 6/19 Kernel method (3) 郭芝融

  1. RKHS

    • Thin-plate spline on sphere

  2. Functional analysis

    • Compactness of function space

  3. Kernel method

    • SVM

    • Kernel PCA and Functional PCA

    • wedge product

  4. Laplacian and heat kernel

    • Consistancy problem

  5. Manifold Learning

    • Quadratic programming

    • Laplacian eigenmap and Hessian LLE

More details can be found HERE.