Diapositive 1
Overwiew & Objectives
lexical semantic representations
conceptual vector model (cvm)
autonomous learning by the system
from a given Ç semantic space È (ontology)
effects of swithing ontologies (general ó spec)
global effects on the lexicon
local effects on particular word
ambiguity as noise
towards self contained WSD annotations
Ç I made a deposit at the bank È
 Þ Ç I made a deposit at the bank<g:money> È

Conceptual vectors
vector space
An idea
Concept combination Ñ a vector
Idea space
= vector space
A concept
= an idea = a vector V
 with augmentation: V + neighboorhood
Meaning space
= vector space + {v}*

2D view of Ç meaning space È
Conceptual vectors
Thesaurus
H : thesaurus hierarchy Ñ K concepts
Thesaurus Larousse = 873 concepts
V(Ci) : <a1, É, ai, É , a873>
aj = 1/ (2 ** Dum(H, i, j))

Conceptual vectors
Concept c4:peace
Conceptual vectors
Term ÒpeaceÓ
Diapositive 8
Angular distance
DA(x, y)  = angle (x, y)
0 £ DA(x, y) £ p
if 0 then x & y colinear Ñ same idea
if p/2 then nothing in common
if p then DA(x, -x) with -x  Ñ anti-idea of x

Angular distance
DA(x, y) = acos(sim(x,y))
DA(x, y) = acos(x.y/|x||y|))
DA(x, x) = 0
DA(x, y) = DA(y, x)
DA(x, y) + DA(y, z) ³ DA(x, z)
DA(0, 0) = 0  and  DA(x, 0) = p/2 by definition
DA(ax, by) = DA(x, y) with ab > 0
DA(ax, by) = p - DA(x, y) with ab < 0
DA(x+x, x+y)  = DA(x, x+y) £ DA(x, y)

Thematic distance
Examples
DA(tit, tit) = 0
DA(tit, passerine) = 0.4
DA(tit, bird) = 0.7
DA(tit, train) = 1.14
DA(tit, insect) = 0.62

Some vector operations
2D view of weak contextualization
Autonomous learning 1/2
Autonomous learning 2/2
Local expansion of vector space
Diapositive 17
Diapositive 18
Lexical Distribution
from Local density
Diapositive 20
Diapositive 21
Last words
Switching of representation
coarse grained to fine grained Þ better semantic discrimation
É and vice-versa Þ conservation of resource
global and local test functions
for vector quality assessment
decision taking about level of representation
detectors when combined to lexical functions (antonymy, etc.)
the basis for
self adjustement toward a vector space of constant density
wsd as a reduction of noise (in context or out of context)
unification of ontologies
self emergent structuration of terminology