Covers: theory of convolutions

0- What is convolution?
- What is a kernel?
- What is cross-correlation?
- What is a Toeplitz matrix?

Read section 9.1 to understand what's the convolution operation and how it is related to cross-correlation and Toeplitz matrix

Goodfellow et al

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Contributors

- Objectives
- The user of this short list will be able to understand the concepts related to convolution, cross-correlation and Toeplitz matrix
- Potential Use Cases
- You are looking to understand the mathematical foundations for Deep Learning
- Who is This For ?
- BEGINNERDeep Learning practitioners interested in Mathematical foundations

Click on each of the following **annotated items** to see details.

Resources5/7

ARTICLE 1. Toeplitz Matrix

- What is a Toeplitz Matrix?

5 minutes

ARTICLE 2. Convolution

- How we can represent the convolution operation?

6 minutes

VIDEO 3. Convolution Example

- Concept of convolution

19 minutes

ARTICLE 4. Convolution Examples and the Convolution integral

- How to represent the convolution operation?
- How to implement the convolution operation in python?

10 minutes

BOOK_CHAPTER 5. The Convolution Operation

- What is convolution?
- What is a kernel?
- What is cross-correlation?
- What is a Toeplitz matrix?

10 minutes

VIDEO 6. Convolution vs Cross Correlation

- What's the difference between cross-correlation and convolution?

3 minutes

VIDEO 7. Convolution Neural Networks Explained

- Convolution
- Implementation of Matrix Multiplication

7 minutes

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