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KERNEL METHODS AND MACHINE LEARNING

114-2 / Spring 2026

TA: 江履方 (CHIANG, ALEXANDER LUFANG), 林育正 (LIN, YU-CHENG)

WEEK 1 - 02/24

Topic Introduction

Slide Video

PPT COMME5053 Syllabus

PPT Introduction

WEEK 2 - 03/03

Topic Mercer kernel, Feature map, Gram matrices

Slide Video

PPT KRHS

PPT Linear algebra

VIDEO 0303

WEEK 3 - 03/10

Topic Hilbert space, Riesz representation theory

Slide Video

VIDEO 0310

VIDEO 0310（僅黑板）

WEEK 4 - 03/17

Topic Moore-Aronszajn Theorem

Slide Video

VIDEO 0317

VIDEO 0317（僅黑板）

WEEK 5 - 03/24

Topic Regularized risk minimization, representer theorem, kernel ridge regression

Slide Video

VIDEO 0324

VIDEO 0324（僅黑板）

WEEK 6 - 03/31

Topic Translation invariant kernel, random Fourier features

Slide Video

VIDEO 0331

VIDEO 0331（僅黑板）

WEEK 7 - 04/07

Topic Kernel PCA, Nystrom approximation

Slide Video

VIDEO 0407

VIDEO 0407（僅黑板）

WEEK 8 - 04/14

Topic Gaussian process and Kriging

Slide Video

PPT Representation theorem and KRR

VIDEO 0414

VIDEO 0414（僅黑板）

VIDEO 0415

VIDEO 0415（僅黑板）

WEEK 9 - 04/21

Topic Gaussian process and Kriging

Slide Video

PPT Translation invariant kernel and random Fourier features

VIDEO 0421（僅黑板）

VIDEO 0421

WEEK 10 - 04/28（補）

Topic Inner space completion, RKHS

Slide Video

VIDEO 0428

VIDEO 0428（僅黑板）

WEEK 11 - 05/05（補）

Topic Selected topics

Slide Video

VIDEO 0505

VIDEO 0505（僅黑板）

WEEK 12 - 05/12

Topic Bandit problem

Slide Video

PPT Kernel PCA and Nystrom approximation

PPT Gaussian Process

PPT Matern kernel

VIDEO 0512

VIDEO 0512（僅黑板）

WEEK 13 - 05/19

Topic Self normalizing bound, Kernel UCB

Slide Video

VIDEO 0519

VIDEO 0519（僅黑板）

WEEK 17

Topic Self normalizing bound, Kernel UCB

Slide Video

PPT self normalizing bound