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May
13
asked Getting the degree of overlap between each pair of classes
Apr
30
comment Line of best fit (Linear regression) over vertical line
If Y varies and X varies by very slightly, I'll also get the same problem to estimate that line or not ?
Apr
30
comment Line of best fit (Linear regression) over vertical line
Or (1) is it possible to just flip/swap X and Y when the coefficient of correlation is close to 1 ?! (2) It will be close to 1 if we have the case that I shown on the image that I posted ?
Apr
30
comment Line of best fit (Linear regression) over vertical line
Ok, I'll test using the coefficient of correlation and add some random noise to x (is this want you call jitter?) is the correlation is close to 1. I'm using python, sklearn, and the format of the data is just a matrix.
Apr
30
comment Line of best fit (Linear regression) over vertical line
I can not catch this special case where Y do not depends on X, can I ? How ? Or should I always add some noise to my X values ?!
Apr
30
comment Line of best fit (Linear regression) over vertical line
Basically, I want to draw a line which is as close as possible to all points (as a linear regression will do in case where Y depends on X) even if there is no correlation between Y and X values ... I want a method which I can apply whatever is the correlation of Y and X (even there is or there no correlation between them) ! How to do that ?
Apr
30
comment Line of best fit (Linear regression) over vertical line
And this is not for prediction, it is for a pattern recognition problem, where my points are some pixels defined by their coordinates x,y on the image ...
Apr
30
comment Line of best fit (Linear regression) over vertical line
This is just a special case, we can have data where X do not change and Y values changes, or not. I want to draw a line of best fit in all cases ... whatever is my data.
Apr
30
comment Line of best fit (Linear regression) over vertical line
If I give you some data points where X do not change while Y values change. Y do not depends on X. I'm not looking to learn a predictive model. However, I can draw a vertical line which passes over all that points. This is just what I want !
Apr
30
comment Line of best fit (Linear regression) over vertical line
So to be more clear: My objective is not to predict some y values based on new values of x, my objective is rather just to get a line which passes as close as possible to all points that we have (even if Y are independent of X ...).
Apr
30
revised Line of best fit (Linear regression) over vertical line
added 614 characters in body
Apr
30
comment Line of best fit (Linear regression) over vertical line
I think that I was not very clear in my question. I want to fit the data whatever is the correlation between X and Y (this is not regression), the objective is not to predict some y values based on new values of x, my objective is rather to get a line which passes as close as possible to all points that we have.
Apr
30
revised Line of best fit (Linear regression) over vertical line
added 614 characters in body
Apr
30
comment Line of best fit (Linear regression) over vertical line
I want to estimate line of best fit for another purpose, not to evaluate how much X and Y are correlated (it is more for a pattern recognition problem, where my data-points are some pixels defined by their coordinates x,y on the image). So I want to fit the line even if X values are not correlated to Y values. And if I just always swap X and Y to be able to fit the line, the next time if I have points lying on a horizontal line (Y = [3,3,3,3], X=[3, 6, 23, 30] for example) the if they are swaped I'll get again the same problem. I want to always fit the line whatever is the correlation of X,Y
Apr
30
revised Line of best fit (Linear regression) over vertical line
added 122 characters in body
Apr
30
asked Line of best fit (Linear regression) over vertical line
Apr
24
accepted Transforming the distance value from a center, to a probability value
Apr
23
comment Transforming the distance value from a center, to a probability value
can you give me an example according to my problem which show where $p_{x,c1}$ would be considered as a significant real probability, and where it would be considered as just a value in [0,1] ? So that I can understand better what you mean.
Apr
23
comment Transforming the distance value from a center, to a probability value
If I estimate the distribution of the distances (previously observed) using some method (I don't know which), is it possible to have the cdf which will reflect the probability I'm looking for ?
Apr
23
comment Transforming the distance value from a center, to a probability value
@whuber Because I'll do inside a loop, something like: if( uniform_random([0,1]) < $P_{x,c1}$ ) then "create a a new center at x"; else "e.g. assign x to c1"