Choosing between non-determinism and probabilistic models
I have a stochastic system such that there are discrete states. At each discrete state, one or more probabilistic transition rules apply. For example, when Sam is in house he can go to school with a probability of 0.8 and college 0.2, or he can eat fish with probability 0.6 and Excercise 0.4.
So in such a situation, we can resolve the conflict in two ways: probabilistically or nondeterministically.
Suppose at a state 3 probabilistic transition rules are permissible. Then the probabilistic way to resolve the conflict is to say each transition rule is executed with 1/3 probability. So in the previous case, Sam can eat fish with the probability of $0.5times 0.6=0.3$. A second way is to just let it be nondeterministic. In such cases, all we can ask about the system is its maximum or minimum because there is no one expected value. In technical words, these are multiple adversaries of a Markov decision process and cannot be condensed to a single state.
My question is: which approach is better industry-wise or in real-world applications (not interested in academic applications) and why? I have read on forums that second is better.
stochastic-processes markov-chains markov-process
asked Nov 27 '18 at 21:46
user_1_1_1user_1_1_1
313311
add a comment |
I have a stochastic system such that there are discrete states. At each discrete state, one or more probabilistic transition rules apply. For example, when Sam is in house he can go to school with a probability of 0.8 and college 0.2, or he can eat fish with probability 0.6 and Excercise 0.4.
So in such a situation, we can resolve the conflict in two ways: probabilistically or nondeterministically.
Suppose at a state 3 probabilistic transition rules are permissible. Then the probabilistic way to resolve the conflict is to say each transition rule is executed with 1/3 probability. So in the previous case, Sam can eat fish with the probability of $0.5times 0.6=0.3$. A second way is to just let it be nondeterministic. In such cases, all we can ask about the system is its maximum or minimum because there is no one expected value. In technical words, these are multiple adversaries of a Markov decision process and cannot be condensed to a single state.
My question is: which approach is better industry-wise or in real-world applications (not interested in academic applications) and why? I have read on forums that second is better.
stochastic-processes markov-chains markov-process
asked Nov 27 '18 at 21:46
user_1_1_1user_1_1_1
313311
If you can assign probabilities, use a probabilistic model. Otherwise, it is simply indeterminate.
– herb steinberg
Nov 27 '18 at 22:25
add a comment |
I have a stochastic system such that there are discrete states. At each discrete state, one or more probabilistic transition rules apply. For example, when Sam is in house he can go to school with a probability of 0.8 and college 0.2, or he can eat fish with probability 0.6 and Excercise 0.4.
So in such a situation, we can resolve the conflict in two ways: probabilistically or nondeterministically.
Suppose at a state 3 probabilistic transition rules are permissible. Then the probabilistic way to resolve the conflict is to say each transition rule is executed with 1/3 probability. So in the previous case, Sam can eat fish with the probability of $0.5times 0.6=0.3$. A second way is to just let it be nondeterministic. In such cases, all we can ask about the system is its maximum or minimum because there is no one expected value. In technical words, these are multiple adversaries of a Markov decision process and cannot be condensed to a single state.
My question is: which approach is better industry-wise or in real-world applications (not interested in academic applications) and why? I have read on forums that second is better.
stochastic-processes markov-chains markov-process
asked Nov 27 '18 at 21:46
user_1_1_1user_1_1_1
313311
I have a stochastic system such that there are discrete states. At each discrete state, one or more probabilistic transition rules apply. For example, when Sam is in house he can go to school with a probability of 0.8 and college 0.2, or he can eat fish with probability 0.6 and Excercise 0.4.
So in such a situation, we can resolve the conflict in two ways: probabilistically or nondeterministically.
Suppose at a state 3 probabilistic transition rules are permissible. Then the probabilistic way to resolve the conflict is to say each transition rule is executed with 1/3 probability. So in the previous case, Sam can eat fish with the probability of $0.5times 0.6=0.3$. A second way is to just let it be nondeterministic. In such cases, all we can ask about the system is its maximum or minimum because there is no one expected value. In technical words, these are multiple adversaries of a Markov decision process and cannot be condensed to a single state.
My question is: which approach is better industry-wise or in real-world applications (not interested in academic applications) and why? I have read on forums that second is better.
stochastic-processes markov-chains markov-process
stochastic-processes markov-chains markov-process
asked Nov 27 '18 at 21:46
user_1_1_1user_1_1_1
313311
asked Nov 27 '18 at 21:46
user_1_1_1user_1_1_1
313311
asked Nov 27 '18 at 21:46
user_1_1_1user_1_1_1
313311
asked Nov 27 '18 at 21:46
user_1_1_1user_1_1_1
313311
asked Nov 27 '18 at 21:46
user_1_1_1user_1_1_1
313311
313311
If you can assign probabilities, use a probabilistic model. Otherwise, it is simply indeterminate.
– herb steinberg
Nov 27 '18 at 22:25
add a comment |
If you can assign probabilities, use a probabilistic model. Otherwise, it is simply indeterminate.
– herb steinberg
Nov 27 '18 at 22:25
If you can assign probabilities, use a probabilistic model. Otherwise, it is simply indeterminate.
– herb steinberg
Nov 27 '18 at 22:25
If you can assign probabilities, use a probabilistic model. Otherwise, it is simply indeterminate.
– herb steinberg
Nov 27 '18 at 22:25
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: "69"
};
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: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
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
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
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%2fmath.stackexchange.com%2fquestions%2f3016341%2fchoosing-between-non-determinism-and-probabilistic-models%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
Thanks for contributing an answer to Mathematics 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.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- 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.
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%2fmath.stackexchange.com%2fquestions%2f3016341%2fchoosing-between-non-determinism-and-probabilistic-models%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
If you can assign probabilities, use a probabilistic model. Otherwise, it is simply indeterminate.
– herb steinberg
Nov 27 '18 at 22:25