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Standardized
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Standardized

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is an option that determines whether to standardize the data.

Details

  • Different functions may standardize input or output to ensure specific properties by scaling and shifting.

Examples

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Basic Examples  (1)Summary of the most common use cases

A standardized Gaussian vector sums to 1:

In[7]:=7
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https://wolfram.com/xid/0d6dzlhe32-c66dsb
Out[7]=7

A Gaussian vector without scaling and shifting:

In[8]:=8
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https://wolfram.com/xid/0d6dzlhe32-vmrmyn
Out[8]=8

Comparison plot of Gaussian vectors with and without standardization:

In[9]:=9
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https://wolfram.com/xid/0d6dzlhe32-kje4ug
In[10]:=10
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https://wolfram.com/xid/0d6dzlhe32-nxsmyo
Out[10]=10

Scope  (1)Survey of the scope of standard use cases

KarhunenLoeveDecomposition with Standardized->True shifts outputs to have zero means:

In[1]:=1
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https://wolfram.com/xid/0d6dzlhe32-9aifu2
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0d6dzlhe32-3tyr8t
Out[2]=2

Results without shifting:

In[3]:=3
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https://wolfram.com/xid/0d6dzlhe32-k2nzt
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0d6dzlhe32-10n74s
Out[4]=4
Wolfram Research (2015), Standardized, Wolfram Language function, https://reference.wolfram.com/language/ref/Standardized.html.
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Wolfram Research (2015), Standardized, Wolfram Language function, https://reference.wolfram.com/language/ref/Standardized.html.

Text

Wolfram Research (2015), Standardized, Wolfram Language function, https://reference.wolfram.com/language/ref/Standardized.html.

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Wolfram Research (2015), Standardized, Wolfram Language function, https://reference.wolfram.com/language/ref/Standardized.html.

CMS

Wolfram Language. 2015. "Standardized." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Standardized.html.

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Wolfram Language. 2015. "Standardized." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Standardized.html.

APA

Wolfram Language. (2015). Standardized. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Standardized.html

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Wolfram Language. (2015). Standardized. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Standardized.html

BibTeX

@misc{reference.wolfram_2025_standardized, author="Wolfram Research", title="{Standardized}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/Standardized.html}", note=[Accessed: 27-March-2025 ]}

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@misc{reference.wolfram_2025_standardized, author="Wolfram Research", title="{Standardized}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/Standardized.html}", note=[Accessed: 27-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_standardized, organization={Wolfram Research}, title={Standardized}, year={2015}, url={https://reference.wolfram.com/language/ref/Standardized.html}, note=[Accessed: 27-March-2025 ]}

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@online{reference.wolfram_2025_standardized, organization={Wolfram Research}, title={Standardized}, year={2015}, url={https://reference.wolfram.com/language/ref/Standardized.html}, note=[Accessed: 27-March-2025 ]}