[Corpora-List] mutual similarity

[Stefano Vegnaduzzo]

Dear all,

I would like to ask for pointers/literature/references/etc on the topic of 
mutual (or reciprocal) similarity. Here is what I mean by this:

Given a term t0 and a set of terms t1 ... tn, a similarity measure M 
typically allows you to rank the terms t1 & tn according to their 
similarity to t0.

My question: Given a term t0 and a set of terms t1 ... tn, and a similarity 
measure M, and assuming a non-symmetric similarity relation (i.e., M(t1,t2) 
is different from M(t2,t1), how do you compute the mutual similarity MS of 
t0 with respect to each term t1 ... tn, where M(t0,ti) is different from 
M(ti,t0). In other words, I am interested in computing and ranking the 
mutual similarity of all pairs MS(t0,ti), where MS(t0,ti) is some function 
of M(t0,ti) and M(ti,t0).

Cases of interest are for example those where M(t0,tX) is a bit higher than 
M(t0,tY) but M(tY,t0) is much higher than M(tX,t0), so I would like a 
mutual similarity measure to capture this by assigning MS(t0,ty) a higher 
score than MS(t0,tx)

I found very limited references in the literature. For example D. Hindle. 
Noun classification from predicate-argument structures (1990) defines 
reciprocal similarity as the case where two terms are each other's most 
similar term, but this is way too restrictive for what I am interested in.

Any help will be appreciated,
thanks,

Stefano Vegnaduzzo



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