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1
Intro
2
Data table: politics
3
Principal components analysis
4
Generalized low rank model
5
Fitting GLRMs with alternating minimization
6
Impute missing data
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Impute heterogeneous data
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Example: Julia implementation
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Validate model
10
Hospitalizations are low rank
11
Low rank models for dimensionality reduction
12
Low rank autoML
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Low rank fit correctly identifies best algorithm type
14
Experiment design for timely model selection
15
Latent variable models examples
16
Approximate low rank
17
Rank of nice latent variable models?
Description:
Explore the intersection of statistics and computer science in machine learning through this 46-minute lecture by Madeleine Udell from Cornell University. Delve into the concept of low-rank structures in big data, covering topics such as principal components analysis, generalized low-rank models, and their applications in various fields. Learn about fitting GLRMs using alternating minimization, imputing missing and heterogeneous data, and validating models. Discover how low-rank models can be applied to dimensionality reduction, autoML, and experiment design for timely model selection. Examine real-world examples, including hospitalizations and political data tables, to understand the practical implications of low-rank structures. Gain insights into latent variable models and their approximate low-rank nature, bridging the gap between statistical theory and computational efficiency in the era of Big Data.

Big Data Is Low Rank - Madeleine Udell, Cornell University

Alan Turing Institute
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