AssumeDeterministic

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`AssumeDeterministic`

[Experimental]

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AssumeDeterministic

is an option for functions such as BayesianMinimization that specifies whether or not the function being considered should be assumed to be deterministic.

Details

With AssumeDeterministic->True, the function f being considered is assumed to be deterministic, so that f[conf] always gives the same value for a given configuration conf.
With AssumeDeterministic->False, the function f being considered is assumed to be not necessarily deterministic, so that f[conf] can give different values on different evaluations when the configuration conf is the same.
The typical default setting is AssumeDeterministic->False.

Examples

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

Minimize a function over a region using BayesianMinimization with the specification that the function is deterministic:

In[1]:=1

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https://wolfram.com/xid/0cpsyjy4e5rlo6-ekqb3f

Out[1]=1

Get the estimated minimum configuration:

In[2]:=2

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https://wolfram.com/xid/0cpsyjy4e5rlo6-2o8f5m

Out[2]=2

Get the estimated minimum value:

In[3]:=3

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https://wolfram.com/xid/0cpsyjy4e5rlo6-r1qqgk

Out[3]=3

For a deterministic function, the model value agrees to good precision with the function value for evaluated configurations:

In[4]:=4

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https://wolfram.com/xid/0cpsyjy4e5rlo6-o7283h

Out[4]=4

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

Define a function over a domain defined by a random generator with no specifications:

In[1]:=1

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https://wolfram.com/xid/0cpsyjy4e5rlo6-5nfob5

Minimize the function using BayesianMinimization without any specifications:

In[2]:=2

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https://wolfram.com/xid/0cpsyjy4e5rlo6-7stas2

Out[2]=2

Get the minimum configuration and minimum value:

In[3]:=3

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https://wolfram.com/xid/0cpsyjy4e5rlo6-1h5jge

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0cpsyjy4e5rlo6-haarsk

Out[4]=4

The function is assumed to be stochastic: the model value at the minimum configuration may differ from the function value:

In[5]:=5

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https://wolfram.com/xid/0cpsyjy4e5rlo6-mnejzj

Out[5]=5

Include information that the function is deterministic:

In[6]:=6

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https://wolfram.com/xid/0cpsyjy4e5rlo6-2yvnc1

Out[6]=6

Get the minimum configuration and minimum value for the deterministic case:

In[7]:=7

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https://wolfram.com/xid/0cpsyjy4e5rlo6-xoaqj3

Out[7]=7

In[8]:=8

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https://wolfram.com/xid/0cpsyjy4e5rlo6-e4w4fw

Out[8]=8

Now the model value and function value at the minimum configuration agree to a good precision:

In[9]:=9

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https://wolfram.com/xid/0cpsyjy4e5rlo6-ymi7v7

Out[9]=9

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