Weighted smooth histogramSmooth/histogram a 2D setIs there a way to output histogram x and y data without using the Histogram chart function?Creating histogram?Log-log scale smooth histogramHistogram distributionHistogram: Format issueHow to plot paired smooth histogram/distribution plots?Smooth Density Histogram bounded on non-rectangular domain
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Weighted smooth histogram
Smooth/histogram a 2D setIs there a way to output histogram x and y data without using the Histogram chart function?Creating histogram?Log-log scale smooth histogramHistogram distributionHistogram: Format issueHow to plot paired smooth histogram/distribution plots?Smooth Density Histogram bounded on non-rectangular domain
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
I have a large list $L$ ($|L| sim 100000$) of pairs $x_i,w_i in mathbfR times [0,1]$ subject to the constraint that
$qquad sum w_i = 1.$
I would like to use $L$ to graph a smooth function which "approximates" the PDF
$qquad sum w_i cdot delta(x - x_i)$
If all the $w_i$ were equal to $1/|L|$, then I could simply take the list of the numbers $x_i$ and apply SmoothHistogram. Is there any way to do a "weighted" smooth histogram? If not, some other way?
In practice, the numbers $w_i$ satisfy $5/|L| ge w_i ge 1/(5 |L|)$.
histograms
edited 4 hours ago
m_goldberg
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asked 9 hours ago
user67131user67131
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add a comment |
$begingroup$
I have a large list $L$ ($|L| sim 100000$) of pairs $x_i,w_i in mathbfR times [0,1]$ subject to the constraint that
$qquad sum w_i = 1.$
I would like to use $L$ to graph a smooth function which "approximates" the PDF
$qquad sum w_i cdot delta(x - x_i)$
If all the $w_i$ were equal to $1/|L|$, then I could simply take the list of the numbers $x_i$ and apply SmoothHistogram. Is there any way to do a "weighted" smooth histogram? If not, some other way?
In practice, the numbers $w_i$ satisfy $5/|L| ge w_i ge 1/(5 |L|)$.
histograms
edited 4 hours ago
m_goldberg
91.1k8 gold badges75 silver badges205 bronze badges
asked 9 hours ago
user67131user67131
182 bronze badges
New contributor
user67131 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I have a large list $L$ ($|L| sim 100000$) of pairs $x_i,w_i in mathbfR times [0,1]$ subject to the constraint that
$qquad sum w_i = 1.$
I would like to use $L$ to graph a smooth function which "approximates" the PDF
$qquad sum w_i cdot delta(x - x_i)$
If all the $w_i$ were equal to $1/|L|$, then I could simply take the list of the numbers $x_i$ and apply SmoothHistogram. Is there any way to do a "weighted" smooth histogram? If not, some other way?
In practice, the numbers $w_i$ satisfy $5/|L| ge w_i ge 1/(5 |L|)$.
histograms
edited 4 hours ago
m_goldberg
91.1k8 gold badges75 silver badges205 bronze badges
asked 9 hours ago
user67131user67131
182 bronze badges
New contributor
user67131 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I have a large list $L$ ($|L| sim 100000$) of pairs $x_i,w_i in mathbfR times [0,1]$ subject to the constraint that
$qquad sum w_i = 1.$
I would like to use $L$ to graph a smooth function which "approximates" the PDF
$qquad sum w_i cdot delta(x - x_i)$
If all the $w_i$ were equal to $1/|L|$, then I could simply take the list of the numbers $x_i$ and apply SmoothHistogram. Is there any way to do a "weighted" smooth histogram? If not, some other way?
In practice, the numbers $w_i$ satisfy $5/|L| ge w_i ge 1/(5 |L|)$.
histograms
histograms
edited 4 hours ago
m_goldberg
91.1k8 gold badges75 silver badges205 bronze badges
asked 9 hours ago
user67131user67131
182 bronze badges
New contributor
user67131 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 4 hours ago
m_goldberg
91.1k8 gold badges75 silver badges205 bronze badges
asked 9 hours ago
user67131user67131
182 bronze badges
New contributor
user67131 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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edited 4 hours ago
m_goldberg
91.1k8 gold badges75 silver badges205 bronze badges
edited 4 hours ago
m_goldberg
91.1k8 gold badges75 silver badges205 bronze badges
edited 4 hours ago
m_goldberg
91.1k8 gold badges75 silver badges205 bronze badges
91.1k8 gold badges75 silver badges205 bronze badges
asked 9 hours ago
user67131user67131
182 bronze badges
New contributor
user67131 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 9 hours ago
user67131user67131
182 bronze badges
asked 9 hours ago
user67131user67131
182 bronze badges
182 bronze badges
New contributor
user67131 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
user67131 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
1 Answer
1
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votes
$begingroup$
SeedRandom[1]
data = Transpose[RandomReal[10, 100], Normalize @ RandomReal[1, 100]];
Try WeightedData:
wd = WeightedData @@ Transpose[data]
SmoothHistogram[wd]
Compare with SmoothHistogram of data without the weights:
SmoothHistogram[data[[All,1]]]
answered 8 hours ago
kglrkglr
213k10 gold badges244 silver badges488 bronze badges
$endgroup$
1
$begingroup$
This completely and succinctly answers my question, and includes a working example that makes it easy for me to reproduce. Thanks!
$endgroup$
– user67131
7 hours ago
$begingroup$
@user67131, my pleasure. Thank you for the accept. And welcome to mma.se.
$endgroup$
– kglr
7 hours ago
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
SeedRandom[1]
data = Transpose[RandomReal[10, 100], Normalize @ RandomReal[1, 100]];
Try WeightedData:
wd = WeightedData @@ Transpose[data]
SmoothHistogram[wd]
Compare with SmoothHistogram of data without the weights:
SmoothHistogram[data[[All,1]]]
answered 8 hours ago
kglrkglr
213k10 gold badges244 silver badges488 bronze badges
$endgroup$
1
$begingroup$
This completely and succinctly answers my question, and includes a working example that makes it easy for me to reproduce. Thanks!
$endgroup$
– user67131
7 hours ago
$begingroup$
@user67131, my pleasure. Thank you for the accept. And welcome to mma.se.
$endgroup$
– kglr
7 hours ago
add a comment |
$begingroup$
SeedRandom[1]
data = Transpose[RandomReal[10, 100], Normalize @ RandomReal[1, 100]];
Try WeightedData:
wd = WeightedData @@ Transpose[data]
SmoothHistogram[wd]
Compare with SmoothHistogram of data without the weights:
SmoothHistogram[data[[All,1]]]
answered 8 hours ago
kglrkglr
213k10 gold badges244 silver badges488 bronze badges
$endgroup$
1
$begingroup$
This completely and succinctly answers my question, and includes a working example that makes it easy for me to reproduce. Thanks!
$endgroup$
– user67131
7 hours ago
$begingroup$
@user67131, my pleasure. Thank you for the accept. And welcome to mma.se.
$endgroup$
– kglr
7 hours ago
add a comment |
$begingroup$
SeedRandom[1]
data = Transpose[RandomReal[10, 100], Normalize @ RandomReal[1, 100]];
Try WeightedData:
wd = WeightedData @@ Transpose[data]
SmoothHistogram[wd]
Compare with SmoothHistogram of data without the weights:
SmoothHistogram[data[[All,1]]]
answered 8 hours ago
kglrkglr
213k10 gold badges244 silver badges488 bronze badges
$endgroup$
SeedRandom[1]
data = Transpose[RandomReal[10, 100], Normalize @ RandomReal[1, 100]];
Try WeightedData:
wd = WeightedData @@ Transpose[data]
SmoothHistogram[wd]
Compare with SmoothHistogram of data without the weights:
SmoothHistogram[data[[All,1]]]
answered 8 hours ago
kglrkglr
213k10 gold badges244 silver badges488 bronze badges
edited 7 hours ago
answered 8 hours ago
kglrkglr
213k10 gold badges244 silver badges488 bronze badges
answered 8 hours ago
kglrkglr
213k10 gold badges244 silver badges488 bronze badges
answered 8 hours ago
kglrkglr
213k10 gold badges244 silver badges488 bronze badges
213k10 gold badges244 silver badges488 bronze badges
1
$begingroup$
This completely and succinctly answers my question, and includes a working example that makes it easy for me to reproduce. Thanks!
$endgroup$
– user67131
7 hours ago
$begingroup$
@user67131, my pleasure. Thank you for the accept. And welcome to mma.se.
$endgroup$
– kglr
7 hours ago
add a comment |
1
$begingroup$
This completely and succinctly answers my question, and includes a working example that makes it easy for me to reproduce. Thanks!
$endgroup$
– user67131
7 hours ago
$begingroup$
@user67131, my pleasure. Thank you for the accept. And welcome to mma.se.
$endgroup$
– kglr
7 hours ago
1
1
$begingroup$
This completely and succinctly answers my question, and includes a working example that makes it easy for me to reproduce. Thanks!
$endgroup$
– user67131
7 hours ago
$begingroup$
This completely and succinctly answers my question, and includes a working example that makes it easy for me to reproduce. Thanks!
$endgroup$
– user67131
7 hours ago
$begingroup$
@user67131, my pleasure. Thank you for the accept. And welcome to mma.se.
$endgroup$
– kglr
7 hours ago
$begingroup$
@user67131, my pleasure. Thank you for the accept. And welcome to mma.se.
$endgroup$
– kglr
7 hours ago
add a comment |
user67131 is a new contributor. Be nice, and check out our Code of Conduct.
user67131 is a new contributor. Be nice, and check out our Code of Conduct.
user67131 is a new contributor. Be nice, and check out our Code of Conduct.
user67131 is a new contributor. Be nice, and check out our Code of Conduct.
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