Problem 0: Optional.
The ISL book (’An Introduction to Statistical Learning’ by G. James et al.) is a good place to read what we have covered and additional material. The book is available online http://faculty.marshall.usc.edu/gareth-james/ISL/ Study chapters 3 and 4.
(Unfortunately the examples are written in R but we use python in our course)
Problem 1 (A bit of Information Theory)
Read Shannon’s 1948 paper ’A Mathematical Theory of Communication’. Focus on pages 1-19 (up to Part II), the remaining part is more relevant for communication.
http://math.harvard.edu/ ctm/home/text/others/shannon/entropy/entropy.pdf Summarize what you learned briefly (e.g. half a page).
Problem 2: Scraping, Entropy and ICML papers.
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1. What are the top 10 common words in the ICML papers?
2. Let Z be a randomly selected word in a randomly selected ICML paper. Estimate the entropy of Z.
3. Synthesize a random paragraph using the marginal distribution over words.
4. (Extra credit) Synthesize a random paragraph using an n-gram model on words. Synthesize a random paragraph using any model you want. Top five synthesized text paragraphs win bonus (+30 points).
Problem 3: More on Kaggle Advanced Regression.
Continue building your toolbox on Kaggle. Work on submissions for the same competition https://www.kaggle.com/c/house-prices-advanced-regression-techniques/
1. What is the best Kaggle forum post that you found? Briefly describe what you learned fromit.
2. What is the best public leader board (LB) score you can achieve? Describe your approach.
LB score). Underfitting means that your model is too simple and even the training error is very large (and so will the test error). You can experiment with depth of decision trees in random forests or XGBoost classifiers as the metric of complexity for your models, or any other family of models you want.
