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Lecture 2 - Linear Algebra, probability and information theory, optimization

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Lecture 2 - Linear Algebra, probability and information theory, optimization What are the two main types of array in python and what are their differences ? - correct answers 1. Lists: A list is a built-in Python data structure that can hold elements of any data type, including other lists. Lists...

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  • September 26, 2024
  • 3
  • 2024/2025
  • Exam (elaborations)
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  • lecture 2 linear algebra probability and inform

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Lecture 2 - Linear Algebra, probability
and information theory, optimization

How to deal with high dimensions ? - correct answers Generic term approach:

Exploit invariances and symmetries

Induced by knowledge about the economics problem.



Discover and exploit (non)-linear manifolds over which the response exhibits maximal variability.



Here, we focus on:

HD input (already satisfying symmetries).

Discoverand exploit linear

manifold of maximal variability.

what are the pillars of machine learning ? - correct answers 1. Regression

2. Dimensionality Reduction

3. Density Estimation

4. Classification

Why does linear algebra provide ? - correct answers Linear algebra provides a way of compactly
representing and operating on sets of linear equations.

What is the package in python for matrices and vectors ? - correct answers The package for matrices
and vectors is NumPy.

What is np.array in python ? - correct answers In Python, np.array refers to a function provided by the
NumPy library, which creates a new array object.



The np.array function takes a sequence (such as a list or tuple) and returns a new NumPy array object.
The resulting array can have any number of dimensions and any shape.



Once you have created an array with np.array, you can perform a wide range of operations on it, such as
mathematical operations, slicing, indexing, and more.

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