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Theoretical Foundations of Data Science I

DSC 40A, Summer Session II 2025 at UC San Diego πŸ‘‹

Summer 2025

CENTR 222

TUE, THUR 5:00PM - 7:50PM

Week 1 - Modeling, Loss Functions, & Simple Linear Regression
πŸ“˜ Read Chapter 1, Pages 1-12
πŸ“˜ Read Chapter 2, Pages 1-7
πŸ“˜ Read The Spread Notes
🍿 Watch Ahmed's Calc Review

πŸ§‘β€πŸ«  Tue Aug 5

LEC 1 Introduction to Modeling (Live)
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LEC 2 Empirical Risk Minimization
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HOPS 0 Linear Algebra Bootcamp (For the Soul)

HOPS 1 How to Prove it! (Look Over Independently)
problems solutions

SUR Welcome Survey

HW Homework 0 (Not Due!)

πŸ§‘β€πŸ«  Thu Aug 7

LEC 3 Comparing Loss Functions
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LEC 4 Simple Linear Regression
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HOPS 2 Loss Functions & Risk
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HOPS 3 MSE vs MAE vs Huber
problems

HW Homework 1 Released

πŸ§‘β€πŸ«  Tue Aug 12

LEC 5 Simple Linear Regression, Continued
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LEC 6 Dot Products and Projections
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HOPS 4 Simple OLS Regression
problems

HOPS 5 Regression & Linear Algebra
problems

DEMO Simple Linear Regression + Huber Loss

DISC Groupwork 1 (Submit Handwritten, Individually!)
problems solutions

πŸ§‘β€πŸ«  Thu Aug 14

LEC 7 Orthogonal Projections
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LEC 8 Regression and Linear Algebra
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HOPS 6 Regression in the Real World
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DEMO Demo 2 - Interaction Terms

HW Homework 2 Released

Week 3 - Feature Engineering & Gradient Descent
πŸ“˜ Read Chapter 1, Pages 16–17
πŸ“˜ Read Notes on Convexity

πŸ§‘β€πŸ«  Tue Aug 19

LEC 9 Multiple Linear Regression
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LEC 10 Feature Engineering, Gradient Descent
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HOPS 7 Feature Engineering + Normal Equations
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HOPS Midterm Review (Online)

DISC Groupwork 2 (Submit Handwritten, Individually!)
problems solutions

πŸ§‘β€πŸ«  Thu Aug 21

Midterm Midterm Exam (IN-CLASS)

LEC 11 Gradient Descent, Continued
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HOPS 8 Gradient Descent (Look Over Independently)
problems solutions

DEMO Loss Surface Navigation + Regularization

HW Homework 3 Released

Week 4 - Probability & Combinatorics
πŸ“˜ Read Probability Roadmap
πŸ“˜ Read Probability Textbook Chapters 1–2

πŸ§‘β€πŸ«  Tue Aug 26

LEC 12 Foundations of Probability
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LEC 13 Combinatorics
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HOPS 9 Gradient Descent Again
problems code

HOPS 10 Conditional Probability
problems

DISC Groupwork 3 (Submit Handwritten, Individually!)
problems solutions

πŸ§‘β€πŸ«  Thu Aug 28

LEC 14 More Combinatorics Examples
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LEC 15 Bayes' Theorem and Independence
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HOPS 11 Approaching Probability Problems
problems

HOPS 12 Combinatoric Problems
problems

DEMO Probability + Real World DS Practices

HW Homework 4 Released

Week 5 - NaΓ―ve Bayes & Final Review
πŸ“˜ Read Notes on Conditional Independence

πŸ§‘β€πŸ«  Tue Sep 2

LEC 16 Independence and Conditional Independence
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LEC 17 NaΓ―ve Bayes
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HOPS 13 Bayes Theorm vs Frequentist
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HOPS 14 NaΓ―ve Bayes
problems

DEMO Demo 6 - Multi-armed Bandit

DISC Groupwork 4 (Submit Handwritten, Individually!)
problems solutions

πŸ§‘β€πŸ«  Thu Sep 4

LEC 18 More NaΓ―ve Bayes, Review
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LEC 19 Conclusion + Final Exam Review (LIVE)

DEMO Demo K-Means Clustering

🏠  Sat Sep 6

EXAM Final Exam