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Konrad Völkel
ds-skript
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5dd9ca84
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5dd9ca84
authored
1 month ago
by
Konrad Völkel
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Merge branch 'main' of gitlab.cs.uni-duesseldorf.de:voelkel/ds-skript
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erwartungswert.md
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-1
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erwartungswert.md
kmeans.ipynb
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kmeans.ipynb
references.bib
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references.bib
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11 deletions
erwartungswert.md
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5dd9ca84
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@@ -26,7 +26,7 @@ $\texttt{median}(v) := \arg\min_{c \in \mathbb{R}} \texttt{mae}(v,c)$ ist \`\`de
...
@@ -26,7 +26,7 @@ $\texttt{median}(v) := \arg\min_{c \in \mathbb{R}} \texttt{mae}(v,c)$ ist \`\`de
:::
:::
Das bedeutet also, der Median ist definiert als eine Zahl $c
\i
n
\m
athbb{R}$ mit der Eigenschaft, dass die Zahl $
\t
exttt{mae}(v,c)$ minimal wird.
Das bedeutet also, der Median ist definiert als eine Zahl $c
\i
n
\m
athbb{R}$ mit der Eigenschaft, dass die Zahl $
\t
exttt{mae}(v,c)$ minimal wird.
Das bedeutet, für alle $c$ gilt $
\t
exttt{mae}(v,c)
\g
eq
$
\t
exttt{mae}(v,
\t
exttt{median}(v))$.
Das bedeutet, für alle $c$ gilt $
\t
exttt{mae}(v,c)
\g
eq
\t
exttt{mae}(v,
\t
exttt{median}(v))$.
Achtung: So definiert können mehrere Zahlen 'der' Median sein. It's not a bug, it's a feature.
Achtung: So definiert können mehrere Zahlen 'der' Median sein. It's not a bug, it's a feature.
Diese Definition mag ungewohnt sein, aber sie erfüllt die folgende Eigenschaft:
Diese Definition mag ungewohnt sein, aber sie erfüllt die folgende Eigenschaft:
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kmeans.ipynb
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references.bib
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...
@@ -105,3 +105,17 @@ language = "English",
...
@@ -105,3 +105,17 @@ language = "English",
booktitle
=
"IPCC Special Report Global Warming of 1.5 ºC"
,
booktitle
=
"IPCC Special Report Global Warming of 1.5 ºC"
,
publisher
=
"Intergovernmental Panel on Climate Change"
publisher
=
"Intergovernmental Panel on Climate Change"
}
}
@article
{
Schubert2023
,
title
=
{Stop using the elbow criterion for k-means and how to choose the number of clusters instead}
,
volume
=
{25}
,
ISSN
=
{1931-0153}
,
url
=
{http://dx.doi.org/10.1145/3606274.3606278}
,
DOI
=
{10.1145/3606274.3606278}
,
number
=
{1}
,
journal
=
{ACM SIGKDD Explorations Newsletter}
,
publisher
=
{Association for Computing Machinery (ACM)}
,
author
=
{Schubert, Erich}
,
year
=
{2023}
,
month
=
jun
,
pages
=
{36–42}
}
\ No newline at end of file
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