| Lecture 1 | Hilbert Space, Sobolev Space | 3/28/2022 |
| Lecture 2 | Reproducing Kernel Hilbert Space (RKHS) | 3/30/2022 |
| Lecture 3 | Orghonormal Basis, Projection Estimator | 4/04/2022 |
| Lecture 4 | Connection of the Projection Estimator with Kernel Ridge Regression | 4/06/2022 |
| Lecture 5 | White Noise Filtering, Linear Minimax Risk, Multiresolution Analysis (MRA) and Wavelet Basis | 4/11/2022 |
| Lecture 6 | MRA, examples | 4/13/2022 |
| Lecture 7 | Conjugate Mirror Filter, Wavelets | 4/18/2022 |
| Lecture 8 | Wavelets with Additional Properties, Daubechies Theorem, Approximation in Fourier/Wavelet Basis | 4/20/2022 |
| Lecture 9 | Compression (Transform Cooling) | 4/25/2022 |
| Lecture 10 | Denoising | 4/27/2022 |
| Lecture 11 | Linear Inverse Problems | 5/02/2022 |
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