"Proving Variable Independence in a Network Using Markov Blanket"

AI Thread Summary
The discussion centers on the concept of variable independence within a Bayesian network, particularly in relation to a variable's Markov blanket. A variable, referred to as node A, is considered independent of other variables in the network that do not belong to its Markov blanket. The participants seek a straightforward proof of this independence without delving into complex probability formulas. The term "independent" is defined in the standard statistical sense, emphasizing the desire for clarity and memorability in understanding these relationships. The conversation highlights a mutual interest in discovering and sharing insights on this topic.
0rthodontist
Science Advisor
Messages
1,229
Reaction score
0
Is there a simple (meaning, memorable and not just a lot of crunching through probability formulas) proof that a variable is independent of the other variables in the network, given its Markov blanket?
 
Technology news on Phys.org
Were you able to get this yet?

Is "a variable", node A in the Markov blanket? And "the other variables in the network" any node that does not belong to the blanket?

If so, then define independant?
 
--No, I have not yet found this out

--A variable is a node in the Bayesian network, together with its conditional probability table

--"Independent" is used in the standard statistical sense
 
If you get it, let me know. I'd be interested to hear. I'm sure I'll realize it in due time, and get back to you if you don't to me first.
 

Thread 'Learning Assembly and computer architecture for x86'

Dear Peeps I have posted a few questions about programing on this sectio of the PF forum. I want to ask you veterans how you folks learn program in assembly and about computer architecture for the x86 family. In addition to finish learning C, I am also reading the book From bits to Gates to C and Beyond. In the book, it uses the mini LC3 assembly language. I also have books on assembly programming and computer architecture. The few famous ones i have are Computer Organization and...
View full post »

Thread 'Learning data structures and algorithms in different programming languages'

I have a quick questions. I am going through a book on C programming on my own. Afterwards, I plan to go through something call data structures and algorithms on my own also in C. I also need to learn C++, Matlab and for personal interest Haskell. For the two topic of data structures and algorithms, I understand there are standard ones across all programming languages. After learning it through C, what would be the biggest issue when trying to implement the same data...
View full post »

Similar threads

MHB Convexivity issues in a new type of network - NLP
Replies
1
Views
2K
Neural Networks Question about the Hebbs and Delta Rule
Replies
1
Views
2K
Markov processes (Weight Suspended equally by n Cables)
Replies
4
Views
1K
JS Variable Hygiene: Preventing Global Var Access
Replies
13
Views
2K
B Choosing which variable is the dependent or independent variable
Replies
16
Views
2K
I Variable Normalization for different variable ranges....
Replies
3
Views
2K
I Bell vs Kolmogorov: Unravelling Probability Theory Limits
2
Replies
93
Views
7K
Understanding Stress and Strain: The Relationship Between Two Variables
Replies
9
Views
2K
Dimensionality of Network Topologies
Replies
15
Views
2K
A Using standard deviation values as independent variables
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top