Antonymy and

conceptual vectors

en français
 
   

Generality

Documentation about measures on conceptual vectors.

Opposable properties. The opposite vector of a concept Ci is note as:

AntiC(Ci)

If a concept Ci has an opposed we have then :

AntiC(EXISTENCE)=V(NON-EXISTENCE)

If C_i has no antonym:

AntiC(Ci) = V(Ci)

AntiC(CAR)=V(CAR)

Relative antonymy lexical function. The Relative antonymy lexical function AntiLexS:

Three fields :

word M which we want the antonym.

word Mcontext to define the context.

word Mreferent to define a symmetry axis for antonymy.

The first and the third are contextualised by the second with strong contextualisation method. We get two vectors.

Then, we use the relative antinomy function (we want the antonym vector of the vector X in reference of the vector Y)

AntiR(X, Y) = P1* AntiC (C1, V(Y))+P2* AntiC (C2, V(Y))+...+Pi* AntiC (Ci, V(Y))+...+Pn* AntiC (Cn, V(Y ))

Other antonymy lexical functions.

When the refrent is not essential : AntiLexR(M, Mcontext) = AntiLexS(M, Mcontext, Mcontext)

Absolute antonymy function : AntiLexA(M) = AntiLexS(M, M, M)

Potential of antonymy measure.

Its first goal is to evaluate if a vector can reasonably have an antonym. The measure is based on the idea that a vector can have an antonym if its main concepts can be inverted and can't have one otherwise.

MantiPot(V) = log A/B

A = max ((v1-moy(V))CV(V)*t(1),0)+...+max ((vi-moy(V))CV(V)*t(i),0)

B = max (-(v1-moy(V))CV(V)*t(1),0)+...+max (-(vi-moy(V))CV(V)*t(i),0)

t(c)=

1 if c has an antonym

-1 otherwise

Antonymy evaluation measure

Its goal is to know if two vectors A and B can raisonnably be antonyms in the C context. It is the angle between the sum of A and B and the sum of their opposed vectors in the context C
MantiEval=DA(A+B, AntiR(A, C) + AntiR(B,C)

to know more.

DEA work on the subject. Vecteurs conceptuels et fonctions lexicales : application à l'antonymie. (en français)
     
 
 

Potential antonymy measure

Get the of
 in the context

complementar scalar dual

     
 
   

Relative Antonymy

Asociated words. Get the of the antonym vector of

 in the context  relatively to

If the referent is empty, AntiLexR is computed.

If the context and the referent are omitted, AntiLexAis computed.

complementar scalar dual general

     
   

Antonymy evaluation measure.

Get the between

in the context of
et

if the context is empty, it is defined with the sum of the vectors we want to know if they can be antonyms.

complementar scalardual general

     
   
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