Probability - Similarity Rate in the random Signal
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I have a random signal (vector) that consists of random variables varying between -2 and 2. I want to know how many similar patterns do I have in this random signal. In order to achieve this, I select first 5 points and finding similarity percentage (Correlation Coefficient) of this vector by shifting point by point in the vector. Meanwhile, I'm counting the patterns which similarity is over 95% and got 1500 similar patterns with the selected piece.
You can see the process visually here
Then selecting 8 points and shifting again point by point. For this case, I got about 800 similar patterns.
From this experiment, I learnt, as I increase the size of shifting pattern I get less number of the similar case.
Intuitively, I understand the reason for this process. But I'm searching for a mathematical equation to represent this relationship between shifting vector size and the number of similarities.
probability computer-science random bayesian
asked Nov 12 at 17:04
Tarlan Ahad
63
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0
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favorite
I have a random signal (vector) that consists of random variables varying between -2 and 2. I want to know how many similar patterns do I have in this random signal. In order to achieve this, I select first 5 points and finding similarity percentage (Correlation Coefficient) of this vector by shifting point by point in the vector. Meanwhile, I'm counting the patterns which similarity is over 95% and got 1500 similar patterns with the selected piece.
You can see the process visually here
Then selecting 8 points and shifting again point by point. For this case, I got about 800 similar patterns.
From this experiment, I learnt, as I increase the size of shifting pattern I get less number of the similar case.
Intuitively, I understand the reason for this process. But I'm searching for a mathematical equation to represent this relationship between shifting vector size and the number of similarities.
probability computer-science random bayesian
asked Nov 12 at 17:04
Tarlan Ahad
63
No idea how do you define similarity, but if the signal is random, then you just need to calculate probability. Define the process and how similarity defined and you’lol get a clear picture.
– kirilloid
Nov 12 at 23:50
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have a random signal (vector) that consists of random variables varying between -2 and 2. I want to know how many similar patterns do I have in this random signal. In order to achieve this, I select first 5 points and finding similarity percentage (Correlation Coefficient) of this vector by shifting point by point in the vector. Meanwhile, I'm counting the patterns which similarity is over 95% and got 1500 similar patterns with the selected piece.
You can see the process visually here
Then selecting 8 points and shifting again point by point. For this case, I got about 800 similar patterns.
From this experiment, I learnt, as I increase the size of shifting pattern I get less number of the similar case.
Intuitively, I understand the reason for this process. But I'm searching for a mathematical equation to represent this relationship between shifting vector size and the number of similarities.
probability computer-science random bayesian
asked Nov 12 at 17:04
Tarlan Ahad
63
I have a random signal (vector) that consists of random variables varying between -2 and 2. I want to know how many similar patterns do I have in this random signal. In order to achieve this, I select first 5 points and finding similarity percentage (Correlation Coefficient) of this vector by shifting point by point in the vector. Meanwhile, I'm counting the patterns which similarity is over 95% and got 1500 similar patterns with the selected piece.
You can see the process visually here
Then selecting 8 points and shifting again point by point. For this case, I got about 800 similar patterns.
From this experiment, I learnt, as I increase the size of shifting pattern I get less number of the similar case.
Intuitively, I understand the reason for this process. But I'm searching for a mathematical equation to represent this relationship between shifting vector size and the number of similarities.
probability computer-science random bayesian
probability computer-science random bayesian
asked Nov 12 at 17:04
Tarlan Ahad
63
asked Nov 12 at 17:04
Tarlan Ahad
63
asked Nov 12 at 17:04
Tarlan Ahad
63
asked Nov 12 at 17:04
Tarlan Ahad
63
asked Nov 12 at 17:04
Tarlan Ahad
63
63
No idea how do you define similarity, but if the signal is random, then you just need to calculate probability. Define the process and how similarity defined and you’lol get a clear picture.
– kirilloid
Nov 12 at 23:50
add a comment |
No idea how do you define similarity, but if the signal is random, then you just need to calculate probability. Define the process and how similarity defined and you’lol get a clear picture.
– kirilloid
Nov 12 at 23:50
No idea how do you define similarity, but if the signal is random, then you just need to calculate probability. Define the process and how similarity defined and you’lol get a clear picture.
– kirilloid
Nov 12 at 23:50
No idea how do you define similarity, but if the signal is random, then you just need to calculate probability. Define the process and how similarity defined and you’lol get a clear picture.
– kirilloid
Nov 12 at 23:50
add a comment |
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No idea how do you define similarity, but if the signal is random, then you just need to calculate probability. Define the process and how similarity defined and you’lol get a clear picture.
– kirilloid
Nov 12 at 23:50