Why is the error here at most $frac{1}{3}$?
1
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From Understanding Machine Learning: Theory and Algorithms:
Can someone explain why the text in the red box below is true? Why does the probability have to be $ le frac{1}{3}$? Why can't we have a single region having probability $> frac{1}{3}$?
The definition of weak learner is included below.
proof-explanation machine-learning
asked Jan 24 at 16:16
Oliver GOliver G
1,4691632
$endgroup$
add a comment |
1
$begingroup$
From Understanding Machine Learning: Theory and Algorithms:
Can someone explain why the text in the red box below is true? Why does the probability have to be $ le frac{1}{3}$? Why can't we have a single region having probability $> frac{1}{3}$?
The definition of weak learner is included below.
proof-explanation machine-learning
asked Jan 24 at 16:16
Oliver GOliver G
1,4691632
$endgroup$
2
$begingroup$
If all three piece have probability bigger than 1/3 then...
$endgroup$
– Jacky Chong
Jan 24 at 16:22
$begingroup$
I edited my question. Why can't we have a single region with error larger than $frac{1}{3}$?
$endgroup$
– Oliver G
Jan 24 at 16:24
2
$begingroup$
Sure you can, but you will also have a region with at most 1/3 probability.
$endgroup$
– Jacky Chong
Jan 24 at 16:25
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Ah, I see now. I misread that. It said ONE of the regions must have probability less than $1/3$. Which is shown in your first comment.
$endgroup$
– Oliver G
Jan 25 at 15:22
add a comment |
1
1
1
0
$begingroup$
From Understanding Machine Learning: Theory and Algorithms:
Can someone explain why the text in the red box below is true? Why does the probability have to be $ le frac{1}{3}$? Why can't we have a single region having probability $> frac{1}{3}$?
The definition of weak learner is included below.
proof-explanation machine-learning
asked Jan 24 at 16:16
Oliver GOliver G
1,4691632
$endgroup$
From Understanding Machine Learning: Theory and Algorithms:
Can someone explain why the text in the red box below is true? Why does the probability have to be $ le frac{1}{3}$? Why can't we have a single region having probability $> frac{1}{3}$?
The definition of weak learner is included below.
proof-explanation machine-learning
proof-explanation machine-learning
asked Jan 24 at 16:16
Oliver GOliver G
1,4691632
asked Jan 24 at 16:16
Oliver GOliver G
1,4691632
edited Jan 24 at 16:23
Oliver G
asked Jan 24 at 16:16
Oliver GOliver G
1,4691632
asked Jan 24 at 16:16
Oliver GOliver G
1,4691632
asked Jan 24 at 16:16
Oliver GOliver G
1,4691632
1,4691632
2
$begingroup$
If all three piece have probability bigger than 1/3 then...
$endgroup$
– Jacky Chong
Jan 24 at 16:22
$begingroup$
I edited my question. Why can't we have a single region with error larger than $frac{1}{3}$?
$endgroup$
– Oliver G
Jan 24 at 16:24
2
$begingroup$
Sure you can, but you will also have a region with at most 1/3 probability.
$endgroup$
– Jacky Chong
Jan 24 at 16:25
$begingroup$
Ah, I see now. I misread that. It said ONE of the regions must have probability less than $1/3$. Which is shown in your first comment.
$endgroup$
– Oliver G
Jan 25 at 15:22
add a comment |
2
$begingroup$
If all three piece have probability bigger than 1/3 then...
$endgroup$
– Jacky Chong
Jan 24 at 16:22
$begingroup$
I edited my question. Why can't we have a single region with error larger than $frac{1}{3}$?
$endgroup$
– Oliver G
Jan 24 at 16:24
2
$begingroup$
Sure you can, but you will also have a region with at most 1/3 probability.
$endgroup$
– Jacky Chong
Jan 24 at 16:25
$begingroup$
Ah, I see now. I misread that. It said ONE of the regions must have probability less than $1/3$. Which is shown in your first comment.
$endgroup$
– Oliver G
Jan 25 at 15:22
2
2
$begingroup$
If all three piece have probability bigger than 1/3 then...
$endgroup$
– Jacky Chong
Jan 24 at 16:22
$begingroup$
If all three piece have probability bigger than 1/3 then...
$endgroup$
– Jacky Chong
Jan 24 at 16:22
$begingroup$
I edited my question. Why can't we have a single region with error larger than $frac{1}{3}$?
$endgroup$
– Oliver G
Jan 24 at 16:24
$begingroup$
I edited my question. Why can't we have a single region with error larger than $frac{1}{3}$?
$endgroup$
– Oliver G
Jan 24 at 16:24
2
2
$begingroup$
Sure you can, but you will also have a region with at most 1/3 probability.
$endgroup$
– Jacky Chong
Jan 24 at 16:25
$begingroup$
Sure you can, but you will also have a region with at most 1/3 probability.
$endgroup$
– Jacky Chong
Jan 24 at 16:25
$begingroup$
Ah, I see now. I misread that. It said ONE of the regions must have probability less than $1/3$. Which is shown in your first comment.
$endgroup$
– Oliver G
Jan 25 at 15:22
$begingroup$
Ah, I see now. I misread that. It said ONE of the regions must have probability less than $1/3$. Which is shown in your first comment.
$endgroup$
– Oliver G
Jan 25 at 15:22
add a comment |
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2
$begingroup$
If all three piece have probability bigger than 1/3 then...
$endgroup$
– Jacky Chong
Jan 24 at 16:22
$begingroup$
I edited my question. Why can't we have a single region with error larger than $frac{1}{3}$?
$endgroup$
– Oliver G
Jan 24 at 16:24
2
$begingroup$
Sure you can, but you will also have a region with at most 1/3 probability.
$endgroup$
– Jacky Chong
Jan 24 at 16:25
$begingroup$
Ah, I see now. I misread that. It said ONE of the regions must have probability less than $1/3$. Which is shown in your first comment.
$endgroup$
– Oliver G
Jan 25 at 15:22