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accepted Supervised clustering or classification?
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answered Active learning through attribute & instance sampling?
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comment How to obtain the class conditional probability when using KNN classifier?
Should we learn the coefficients $B_0$ and $B_1$ ?!
Jan
29
comment How to obtain the class conditional probability when using KNN classifier?
Using that kind of smoothing, we will just get a the same probability values for all classes having $N_i = 0$, so instead of having $P(y_i|x) = 0$, we will get $P(y_i|x) = \frac{s}{K + C \times s} = constant$. Does that change something compared to the 0 probabilities case ?
Jan
29
comment How to obtain the class conditional probability when using KNN classifier?
What do you mean by "using the class probability in the whole data" ? Can you please give more details (by editing your current answer) ? Thanks.
Jan
28
comment How to obtain the class conditional probability when using KNN classifier?
If some classes do not appear in the $k$ neighbourhood of $x$ (e.g. no instance belonging to a given class $y_i$ is among the $k$ nearest instances to $x$); how would you do in this case ?
Jan
28
comment How to obtain the class conditional probability when using KNN classifier?
(1) What is $B_0$ and $B_1$ (how to set them) ? (2) what you call $d$ is the mean distance from $x$ to the $k$ nearest points belonging to a given class $y_i$ (in which case it is $d_i$) ? or is it the mean distance to the instances belonging to the majority class in the $k$ neighbourhood of $x$ ? Please give more details. Thanks.
Jan
28
asked How to obtain the class conditional probability when using KNN classifier?
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comment Assumption to make on data so that we can have an approximation of the final number of representatives
@JacobMick do you mean that we should find the probability p( dist(x,l) > t ) for each x in X and l in L, And that this can only be done through simulation ?