Machine Learning, Dynamical Systems and Control

LATEX TEMPLATE FOR HOMEWORKS

You can use this file as the base template for creating homework files. Mix and match different homework types to create a customized homework set.

 

 

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SPECTROGRAM

This homework will develop a time-frequency algorithm for decomposing temporal signals into its spectrogram.

 

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DENOISING AND SIGNAL PROCESSING

This homework will develop a time-frequency algorithm for decomposing temporal signals into its spectrogram.

 

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PRINCIPAL COMPONENT ANALYSIS

This homework will analyze a spring-mass system and develop intuition on how PCA can be used to understand physical systems.

 

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IDENTIFICATION OF HAND WRITTEN DIGITS

This homework will consider the classic, and one of the earliest, problems for image recognition: identification of hand-written digits that was used by the post office for zip codes.

 

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EIGENFACES

This homework will analyze how feature selection, clustering and classification techniques can be used together for recognizing faces.

 

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BACKGROUND SUBTRACTION IN VIDEO

This homework will use the dynamic mode decomposition to separate foreground and background portions of images in video feeds.

 

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MULTI-RESOLUTION ANALYSIS OF SEA-SURFACE TEMPERATURE DATA

This homework will analyze the dominant spatio-temporal patterns that occur in sea-surface temperature fluctuations.

 

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MODEL DISCOVERY

This homework will use time-series data to discovery governing equations and dynamical approximations for characterizing complex systems.

 

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NEURAL NETWORKS FOR TIME-STEPPING

This homework will explore how neural networks can be trained to accurately produce a time-stepping mapping.