20 methods of the data scientist and the mathematics behind them
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1. Relational databases and their algorithms
2. Static and dynamic summary statistics
3. Analysis of univariate distributions
4. Analysis of multivariate distributions
Use in data science:
Applicable mathematics:
5. Analysis of covariance and correlation
6. Finding the best line through a cloud of points
7. General least squares
8. Logistic regression and GLM
9. Clustering (k-means)
10. PCA and data-reduction
11. Gradient Descent
12. Kalman Filtering
13. Textual and categorical classification
14. Convolutions filtering
15. Fourier analysis of signals
16. Deep neural networks
17. Data compression
18. Dynamic programming and reinforcement learning
19. Linear programming
20. Scheduling, Knapsack and Integer programming
20 methods of the data scientist and the mathematics behind them
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4. Analysis of multivariate distributions
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4. Analysis of multivariate distributions
¶
Use in data science:
¶
Understanding population trends
Understanding relationships between variables
Applicable mathematics:
¶
Multi variable calculus (as used by basic probability) including integration and differentiation
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