MD Anderson Cancer Centerodin.mdacc.tmc.edu/~jmorris/papers_files/SAGEmixture.pdf · ,.-0/ %1% %23...
Transcript of MD Anderson Cancer Centerodin.mdacc.tmc.edu/~jmorris/papers_files/SAGEmixture.pdf · ,.-0/ %1% %23...
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Frequency of Frequencies Plot nc1 Data (49,610 tags)
Observed counts per cell (out of 300,000)
Num
ber
of u
niqu
e ta
gs
110
100
1000
1000
0
5 10 20 50 100 200 500 1000 2000
�1�
Shrinkage Curves for Symmetric and Mixture Dirichlet Estimators
Observed counts (out of 10,000)
Est
imat
ed C
opie
s pe
r C
ell
050
100
150
200
250
300
0 2 4 6 8 10
Maximum LikelihoodSymmetric DirichletMixture Dirichlet
�K�
Shrinkage Curves for Symmetric and Mixture Dirichlet Estimators
Observed counts (out of 49,610)
Est
imat
ed C
opie
s pe
r C
ell
010
2030
4050
60
0 2 4 6 8 10
Maximum LikelihoodSymmetric DirichletMixture Dirichlet
���
Copies of tag per cell
Rel
ativ
e E
ffici
ency
(to
MLE
)
1 2 5 10 25 50 100 250 1000
0.01
0.05
0.10
0.25
0.50
1.00
2.00
5.00
10.00
20.00
n=10,000
Copies of tag per cell
Rel
ativ
e E
ffici
ency
(to
MLE
)
1 2 5 10 25 50 100 250 1000
0.01
0.05
0.10
0.25
0.50
1.00
2.00
5.00
10.00
20.00
Mixture DirichletSymmetric DirichletGoods Estimator
n=50,000Relative Efficiency of Shrinkage Estimators
� �
Relative Efficiency P=0.01
Copies of tag per cell
Rel
ativ
e E
ffici
ency
(to
MLE
)
1 2 5 10 25 100 500
0.01
0.10
0.25
0.50
1.00
2.00
5.00
10.00
20.00
Relative Efficiency P=0.03
Copies of tag per cell
Rel
ativ
e E
ffici
ency
(to
MLE
)
1 2 5 10 25 100 500
0.01
0.10
0.25
0.50
1.00
2.00
5.00
10.00
20.00
Relative Efficiency P=0.0425
Copies of tag per cell
Rel
ativ
e E
ffici
ency
(to
MLE
)
1 2 5 10 25 100 500
0.01
0.10
0.25
0.50
1.00
2.00
5.00
10.00
20.00
Relative Efficiency P=0.06
Copies of tag per cell
Rel
ativ
e E
ffici
ency
(to
MLE
)
1 2 5 10 25 100 500
0.01
0.10
0.25
0.50
1.00
2.00
5.00
10.00
20.00
Shrinkage Curve P=0.01
Observed counts (out of 10,000)
Est
imat
ed C
opie
s pe
r C
ell
0 5 10 15
010
020
030
040
050
0
Shrinkage Curve P=0.03
Observed counts (out of 10,000)
Est
imat
ed C
opie
s pe
r C
ell
0 5 10 15
010
020
030
040
050
0
Shrinkage Curve P=0.0425
Observed counts (out of 10,000)
Est
imat
ed C
opie
s pe
r C
ell
0 5 10 15
010
020
030
040
050
0
Shrinkage Curve P=0.06
Observed counts (out of 10,000)
Est
imat
ed C
opie
s pe
r C
ell
0 5 10 15
010
020
030
040
050
0
�-#
Relative Efficiency K=25,000, P=0.02
Copies of tag per cell
Rel
ativ
e E
ffici
ency
(to
MLE
)
1 2 5 10 25 100 500
0.05
0.25
0.50
1.00
2.00
5.00
10.00
25.00
Relative Efficiency K=44,984, P=0.0425
Copies of tag per cell
Rel
ativ
e E
ffici
ency
(to
MLE
)
1 2 5 10 25 100 500
0.05
0.25
0.50
1.00
2.00
5.00
10.00
25.00
Relative Efficiency K=65,000, P=0.09
Copies of tag per cellR
elat
ive
Effi
cien
cy (
to M
LE)
1 2 5 10 25 100 500
0.05
0.25
0.50
1.00
2.00
5.00
10.00
25.00
Shrinkage Curve K=25,000, P=0.02
Observed counts (out of 10,000)
Est
imat
ed C
opie
s pe
r C
ell
0 5 10 15
010
020
030
040
050
0
Shrinkage Curve K=44,984 P=0.0425
Observed counts (out of 10,000)
Est
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ed C
opie
s pe
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ell
0 5 10 15
010
020
030
040
050
0
Shrinkage Curve K=65,000 P=0.09
Observed counts (out of 10,000)
Est
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s pe
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0 5 10 15
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