Count the number of trend changes in a vector.
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I need to count the number of times a vector increases/decreases. E.g
vec = [0 0 1 2 4 4 2 0 1 2 3]
diff(vec)
ans =
[0 1 1 2 0 -2 -2 1 1 1]
would evidently yield 4 trend changes. I don't wish to count the zero as a trend.
Tips please!
Update:
If you were to plot(vec) it's easier to see what I mean. I wish to simply count the number of row changes in the plot. A flat line (derivative of 0) isn't considered a row change in my application.
Take this as an example:
vec = [3 3 3 5 5 4 3 2 4 5 5 5];
plot(vec)
As you can see from the plot, it's 4 row changes (even though it's 8 in pure diff).
Update:
Ok, I'll try to do better.
Imagine a matrix that describes position over time, where row is position and column is time. When going in a straight line (along a single row) I wish to do nothing. But when changing course over to another row-line I wish to count each new "course" as an occurrence.
E.g
- Travelling at row 5 and then moving up to row 6 and then going straight, that's one course change.
- [5 5 5 6 6 6] => 1 "course change"
- Travelling at row 5 and then moving up to row 7 is similarly one change.
- [5 5 5 7 7 7] => 1 "course change"
- Travelling at row 5, moving up to 7 and then directly back to row 6 is then two changes.
- [5 5 5 7 6 6 6] => 2 "course changes"
- Travelling at row 5, moving up to 7 and then to 12 and then going straight is two changes as the row increment is 2 and then 5 (not a straight course).
- [5 5 5 7 12 12 12] => 2 "course changes"
So basically I wish to count each time you change position (or row) in a straight course.
4 Kommentare
Jan
am 16 Jul. 2012
Please, Sebastian, add informations, which are necessary to define the question, by editing the question, not as comment.
Akzeptierte Antwort
Andrei Bobrov
am 16 Jul. 2012
Bearbeitet: Andrei Bobrov
am 16 Jul. 2012
EDIT
a = diff(vec(:));
out = nnz(unique(cumsum([true;diff(a)~=0]).*(a~=0)));
5 Kommentare
Andrei Bobrov
am 17 Jul. 2012
Bearbeitet: Andrei Bobrov
am 17 Jul. 2012
Hi Sebastian! Thank you for "Accepted..".
Let
vec = [-3 -2 3 3 2 0 0 1 2 5]';
Our goal is to determine the number of groups of identical nonzero elements located near in a:
a = diff(vec);
In our case: out = 6.
t - indexs of all groups (with zeros's groups).
t = cumsum([true;diff(a)~=0]);
non-zero elements in a:
t1 = t(a~=0); % or t1 = cumsum([true;diff(a)~=0]).*(a~=0);
index of groups with none-zero element ( t21 ):
t21 = unique(t1); % or t22 = unique(cumsum([true;diff(a)~=0]).*(a~=0));
and lost:
out1 = numel(t21); % or out2 = nnz(unique(cumsum([true;diff(a)~=0]).*(a~=0)));
Weitere Antworten (2)
Doug Hull
am 12 Jul. 2012
You would need to remove the zeros from the first diff vector and diff it again, then count number of non-zeros. The only complication is the case where the first diff vector looks like:
[1 1 0 1 1]
Once the zero is removed, it looks constant. That can be dealt with, but would be messy.
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