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AMATH-582 Homework and Project

AMATH 582 at UW: Computational Methods For Data Analysis

Below are quick preview of each project. Please feel free to click each folder to obtain more details!

Can you save your dog?

FFT of Ultrasound time series Trajectory of marble in dog's intestine

Gábor transforms: Time-frequency analysis and music score extraction

Part 1: Time-frequency analysis of Handel's music

Handel's music FFT Spectrogram by Gábor transform
handelamp handelfreq gaussian

Part 2: Music score extraction of Mary had a little lamp

Music piece Overtones of Piano Spectrogram by Gábor transform
music1amp music1overtone music1spec

Music score extracted! (Plot created by LilyPond) music1score

Principal Component Analysis (PCA) on oscillating and rotating paint can!

Sqrt of Variances Independent leading modes of motion
svd1 svd2

Eigenface analysis and Music genre classification

Part 1: Eigenface analysis

eigenface

Part 2: Music genre classification

What becomes possible? The genre of a song can be determined by a 5-second clip of the song!

gnbpredict