[R] Find maxima of a function

[Ulrik Stervbo]

Please keep the list in cc.

Sorry, it didn't work as expected. Maybe someone else have an appropriate
solution.

Best,
Ulrik

On Sa., 26. Aug. 2017, 12:57 niharika singhal <niharikasinghal1990 at gmail.com>
wrote:

> Hi
>
> Thanks for you mail,
> I really appreciate your time on my problem
>
> I have posted this problem on
>
>
> https://stats.stackexchange.com/questions/299590/to-find-maxima-for-gaussian-mixture-model
>
>
> The plot I am getting using UnivarMixingDistribution from distr package in
> R
>
> code is
>
> mc0= c(0.1241933, 0.6329082 <06329%20082>, 0.2428986 <02428%20986>)
> rv
> <-UnivarMixingDistribution(Norm(506.8644,61.02859),Norm(672.8448,9.149168),Norm(
> 829.902,74.84682), mixCoeff=mc0/sum(mc0))
> plot(rv, to.draw.arg="d")
>
> I want output around 672 in first case and in 2nd case around 2.1
> according to the plot.
> your code will not work in both the scenario
>
> Regards
> Niharika Singhal
>
>
> On Sat, Aug 26, 2017 at 12:47 PM, Ulrik Stervbo <ulrik.stervbo at gmail.com>
> wrote:
>
>> Hi,
>>
>> I once found this somewhere on stackoverflow:
>>
>> values <- rnorm(20, mean = c(2.15,2.0,2.9), sd = c(0.1,0.1,0.1))
>>
>> v_dens <- density(values)
>> v_dens_y <- v_dens$y
>>
>> r <- rle(v_dens_y)
>> # These functions ignore the extremes if they are the first or last point
>> maxima_index <- which(rep(x = diff(sign(diff(c(-Inf, r$values, -Inf))))
>> == -2,  times = r$lengths))
>> minima_index <- which(rep(x = diff(sign(diff(c(-Inf, r$values, -Inf))))
>> == 2,  times = r$lengths))
>>
>> plot(v_dens_y)
>>
>> HTH
>> Ulrik
>>
>>
>> On Sat, 26 Aug 2017 at 11:49 niharika singhal <
>> niharikasinghal1990 at gmail.com> wrote:
>>
>>> I have a Gaussian mixture model with some parameters
>>>
>>> mean=(506.8644,672.8448,829.902)
>>>
>>> sigma=(61.02859,9.149168,74.84682)
>>>
>>> c=(0.1241933, 0.6329082 <06329%20082>, 0.2428986 <02428%20986>)
>>>
>>> And the plot look something like below.[image: enter image description
>>> here]
>>> <https://i.stack.imgur.com/4uUQ9.png>
>>>
>>> Also, if I change my parameters to
>>>
>>> mean=(2.15,2.0,2.9)
>>>
>>> sigma=(0.1,0.1,0.1)
>>>
>>> c=(1/3,1/3,1/3)
>>>
>>> Then plot would change to[image: enter image description here]
>>> <https://i.stack.imgur.com/kESYX.png>
>>>
>>> Is there any way to find the maxima. I have tried Newton's method but it
>>> gave me the wrong output.
>>>
>>> Like in general some common solution, which would work on all the cases,
>>> is
>>> needed.Can someone suggest me how can I achieve this
>>>
>>> Thanks in advance
>>>
>>> Niharika Singhal
>>>
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>>>
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>

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