Conditional entropy as a measure of functionness [on hold]
I have used a strange word in the title. Unfortunately, I believe the concept of how relations and other structures can be functions, and the degree to which they are functions is not a well studied subject. So, I have made up a word, functionness. I am taking a fairly standard starting point for my functions: pairs of columns. Given two columns, $A$ and $B$, we can compute the conditional entropy of those columns, and this can be done in two ways, reflecting how either $A$ is a function of $B$ or the reverse. Can someone expand on this idea with the standard understanding?
probability category-theory
asked Dec 26 '18 at 17:20
Ben Sprott
440312
put on hold as off-topic by Shailesh, Paul Frost, Andrew, Chris Godsil, Cesareo Dec 29 '18 at 0:16
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shailesh, Paul Frost, Chris Godsil, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
I have used a strange word in the title. Unfortunately, I believe the concept of how relations and other structures can be functions, and the degree to which they are functions is not a well studied subject. So, I have made up a word, functionness. I am taking a fairly standard starting point for my functions: pairs of columns. Given two columns, $A$ and $B$, we can compute the conditional entropy of those columns, and this can be done in two ways, reflecting how either $A$ is a function of $B$ or the reverse. Can someone expand on this idea with the standard understanding?
probability category-theory
asked Dec 26 '18 at 17:20
Ben Sprott
440312
put on hold as off-topic by Shailesh, Paul Frost, Andrew, Chris Godsil, Cesareo Dec 29 '18 at 0:16
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shailesh, Paul Frost, Chris Godsil, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
I have used a strange word in the title. Unfortunately, I believe the concept of how relations and other structures can be functions, and the degree to which they are functions is not a well studied subject. So, I have made up a word, functionness. I am taking a fairly standard starting point for my functions: pairs of columns. Given two columns, $A$ and $B$, we can compute the conditional entropy of those columns, and this can be done in two ways, reflecting how either $A$ is a function of $B$ or the reverse. Can someone expand on this idea with the standard understanding?
probability category-theory
asked Dec 26 '18 at 17:20
Ben Sprott
440312
I have used a strange word in the title. Unfortunately, I believe the concept of how relations and other structures can be functions, and the degree to which they are functions is not a well studied subject. So, I have made up a word, functionness. I am taking a fairly standard starting point for my functions: pairs of columns. Given two columns, $A$ and $B$, we can compute the conditional entropy of those columns, and this can be done in two ways, reflecting how either $A$ is a function of $B$ or the reverse. Can someone expand on this idea with the standard understanding?
probability category-theory
probability category-theory
asked Dec 26 '18 at 17:20
Ben Sprott
440312
asked Dec 26 '18 at 17:20
Ben Sprott
440312
asked Dec 26 '18 at 17:20
Ben Sprott
440312
asked Dec 26 '18 at 17:20
Ben Sprott
440312
asked Dec 26 '18 at 17:20
Ben Sprott
440312
440312
put on hold as off-topic by Shailesh, Paul Frost, Andrew, Chris Godsil, Cesareo Dec 29 '18 at 0:16
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shailesh, Paul Frost, Chris Godsil, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as off-topic by Shailesh, Paul Frost, Andrew, Chris Godsil, Cesareo Dec 29 '18 at 0:16
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shailesh, Paul Frost, Chris Godsil, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
