What is advantage of using the theory of point processes instead of probability distribution functions?
$begingroup$
I am interested in applications of point processes in machine learning, so I have been studying the theory of point process. However, I cannot see advantage of the theory of point processes compared to the classical probability theory.
For examples, I know the points of a Poisson point process scatters uniformly on a given domain. But, I'm confused what is the difference between Poisson point processes and uniform distribution functions (especially on a bounded domain).
I have similar questions for not only Poisson point processes but other point processes. Take sample points according to a point process. Can we obtain a similar (random) point set via using a probability distribution function?
What is advantage of using the theory of point processes instead of using probability distribution function in statistics and machine learning?
Thank you so much in advance.
machine-learning statistics
asked 2 mins ago
user637872user637872
1
New contributor
user637872 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 am interested in applications of point processes in machine learning, so I have been studying the theory of point process. However, I cannot see advantage of the theory of point processes compared to the classical probability theory.
For examples, I know the points of a Poisson point process scatters uniformly on a given domain. But, I'm confused what is the difference between Poisson point processes and uniform distribution functions (especially on a bounded domain).
I have similar questions for not only Poisson point processes but other point processes. Take sample points according to a point process. Can we obtain a similar (random) point set via using a probability distribution function?
What is advantage of using the theory of point processes instead of using probability distribution function in statistics and machine learning?
Thank you so much in advance.
machine-learning statistics
asked 2 mins ago
user637872user637872
1
New contributor
user637872 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 am interested in applications of point processes in machine learning, so I have been studying the theory of point process. However, I cannot see advantage of the theory of point processes compared to the classical probability theory.
For examples, I know the points of a Poisson point process scatters uniformly on a given domain. But, I'm confused what is the difference between Poisson point processes and uniform distribution functions (especially on a bounded domain).
I have similar questions for not only Poisson point processes but other point processes. Take sample points according to a point process. Can we obtain a similar (random) point set via using a probability distribution function?
What is advantage of using the theory of point processes instead of using probability distribution function in statistics and machine learning?
Thank you so much in advance.
machine-learning statistics
asked 2 mins ago
user637872user637872
1
New contributor
user637872 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I am interested in applications of point processes in machine learning, so I have been studying the theory of point process. However, I cannot see advantage of the theory of point processes compared to the classical probability theory.
For examples, I know the points of a Poisson point process scatters uniformly on a given domain. But, I'm confused what is the difference between Poisson point processes and uniform distribution functions (especially on a bounded domain).
I have similar questions for not only Poisson point processes but other point processes. Take sample points according to a point process. Can we obtain a similar (random) point set via using a probability distribution function?
What is advantage of using the theory of point processes instead of using probability distribution function in statistics and machine learning?
Thank you so much in advance.
machine-learning statistics
machine-learning statistics
asked 2 mins ago
user637872user637872
1
New contributor
user637872 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 mins ago
user637872user637872
1
New contributor
user637872 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 mins ago
user637872user637872
1
New contributor
user637872 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 mins ago
user637872user637872
1
asked 2 mins ago
user637872user637872
1
1
New contributor
user637872 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
user637872 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
user637872 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 |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "557"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
user637872 is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f44503%2fwhat-is-advantage-of-using-the-theory-of-point-processes-instead-of-probability%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
user637872 is a new contributor. Be nice, and check out our Code of Conduct.
user637872 is a new contributor. Be nice, and check out our Code of Conduct.
user637872 is a new contributor. Be nice, and check out our Code of Conduct.
user637872 is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Data Science Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f44503%2fwhat-is-advantage-of-using-the-theory-of-point-processes-instead-of-probability%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
