Podcast
Questions and Answers
What is the main purpose of statistical modeling?
What is the main purpose of statistical modeling?
- To simulate natural processes exactly as they occur
- To represent the nature of reality through various lenses (correct)
- To create artificial constructions without any abstraction
- To ignore extraneous details in the model
In statistical modeling, what do probability distributions help with?
In statistical modeling, what do probability distributions help with?
- Assigning probabilities to all possible outcomes
- Modeling natural processes exactly
- Estimating parameters from the data (correct)
- Visualizing the data flow
What do mean (μ) and parameter σ control in probability distributions?
What do mean (μ) and parameter σ control in probability distributions?
- Both μ and σ control the centering of the distribution
- Both μ and σ control the shape of the distribution
- μ controls where the distribution is centered, and σ controls how spread out it is (correct)
- σ controls where the distribution is centered, and μ controls its spread
What is one key factor to consider when analyzing a model for overlooked details?
What is one key factor to consider when analyzing a model for overlooked details?
Why are probability distributions considered as building blocks of statistical models?
Why are probability distributions considered as building blocks of statistical models?
What helps draw a picture of the underlying process in statistical modeling?
What helps draw a picture of the underlying process in statistical modeling?
What does the conditional distribution p(x|y) represent?
What does the conditional distribution p(x|y) represent?
In the context of modeling, what does fitting a model involve?
In the context of modeling, what does fitting a model involve?
What is meant by overfitting a model?
What is meant by overfitting a model?
When fitting a model, what are the estimators obtained from the data?
When fitting a model, what are the estimators obtained from the data?
Which optimization methods are commonly used in fitting models?
Which optimization methods are commonly used in fitting models?
In a multivariate setting, what does the joint distribution represent?
In a multivariate setting, what does the joint distribution represent?
What is the process to find the best r-dimensional approximation to a dataset D?
What is the process to find the best r-dimensional approximation to a dataset D?
How is the r-dimensional subspace chosen in principal component analysis?
How is the r-dimensional subspace chosen in principal component analysis?
What does the value α represent when choosing the dimensionality in principal component analysis?
What does the value α represent when choosing the dimensionality in principal component analysis?
In practice, what is a common value used for the variance threshold α?
In practice, what is a common value used for the variance threshold α?
Which step helps in selecting the fewest number of dimensions that captures at least α fraction of the total variance?
Which step helps in selecting the fewest number of dimensions that captures at least α fraction of the total variance?
In multivariate functions, what role do eigenvalues and eigenvectors play?
In multivariate functions, what role do eigenvalues and eigenvectors play?
Flashcards are hidden until you start studying
