ids/source-coding.qmd at main · Morrison-Lab/ids · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
---
title: "Source coding"
format:
  html: default
  revealjs:
    output-file: source-coding-slides.html
  pdf:
    output-file: source-coding-handout.pdf
  docx:
    output-file: source-coding.docx
---

{{< include latex-macros/macros.qmd >}}

## Codes {#sec-codes}

<!-- No slidebreak here: the heading shares its slide with the def-code div. -->

{{< include ids/_subfiles/_def-code.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_def-uniquely-decodable.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_def-expected-length.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_thm-expected-length-sum.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_exm-expected-length-sum.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_rem-short-codes-for-common-symbols.qmd >}}

## The source coding theorem {#sec-source-coding-theorem}

<!-- No slidebreak here: the heading shares its slide with the thm-source-coding div. -->

{{< include ids/_subfiles/_thm-source-coding.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_rem-source-coding-source.qmd >}}

## Coding with the wrong distribution {#sec-wrong-code}

<!-- No slidebreak here: the heading shares its slide with the thm-wrong-code div. -->

{{< include ids/_subfiles/_thm-wrong-code.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_thm-cross-entropy-decomposition.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_exm-cross-entropy-decomposition.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_rem-cross-entropy-wrong-code.qmd >}}

{{< slidebreak >}}

{{< include ids/_subfiles/_rem-cross-entropy-loss.qmd >}}

## References {.unnumbered}

::: {#refs}
:::