1. Guessing Hierarchies and Symbols for Word Meanings through Hyperonyms and Conceptual Vectors Mathieu Lafourcade LIRMM - France http://www.lirmm.fr/~lafourcade

2. Overwiew & Objectives lexical semantic representations conceptual vector model (cvm) autonomous learning by the system from a given « semantic space » (ontology) Constructing texonomies Hierarchical - findind hyperonyms Multiple inheritance - views ambiguity as noise towards self contained WSD annotations « I made a deposit at the bank »  « I made a deposit at the bank »

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

4. 2D view of « meaning space » “ cat ” “ product ”

5. Conceptual vectors Thesaurus H : thesaurus hierarchy — K concepts Thesaurus Larousse = 873 concepts V(C i ) : a j = 1/ (2 ** D um (H, i, j)) 1/41 1/16 1/64 264

6. Conceptual vectors Concept c4:peace peace hierarchical relations conflict relations The world, manhood society

7. Conceptual vectors Term “peace” c4:peace

8. finance profit exchange

9. Angular distance D A (x, y) = angle (x, y) 0  D A (x, y)   if 0 then x & y colinear — same idea if  /2 then nothing in common if  then D A (x, -x) with -x — anti-idea of x  x’ y x

10. Angular distance D A (x, y) = acos(sim(x,y)) D A (x, y) = acos(x.y/|x||y|)) D A (x, x) = 0 D A (x, y) = D A (y, x) D A (x, y) + D A (y, z)  D A (x, z) D A (0, 0) = 0 and D A (x, 0) =  /2 by definition D A (  x,  y) = D A (x, y) with   0 D A (  x,  y) =  - D A (x, y) with  < 0 D A (x+x, x+y) = D A (x, x+y)  D A (x, y)

11. Thematic distance Examples D A (tit, tit) = 0 D A (tit, passerine) = 0.4 D A (tit, bird) = 0.7 D A (tit, train) = 1.14 D A (tit, insect) = 0.62 tit = insectivorous passerine bird …

12. Some vector operations Addition  : Z = X  Y z i = x i + y ivector Z is normalized Term to term mult  : Z = X  Y z i = (x i * y i ) 1/2 vector Z is not normalized Weak contextualization  : Z = X  (X  Y) =  (X,Y) “ Z is X augmented by its mutual information with Y ”

13. 2D view of weak contextualization Y X XYXY XYXY Y  (X  Y) XYXY X  (X  Y)   

14. Autonomous learning 1/2 set of known words K, set of unknow words U revise a word w of K OR (try to) learn a word w of U From the web : for w ask for a def D specific sites : dicts, synonyms list, etc.  def analysis general sites : google, etc.  corpus analysis for each word wd of D if not in K then add wd to U AND add VO to V* otherwise get the vector of wd AND add V(wd) to V* compute the new vector of w from def(D) and V* 98870 words for 400000 senses (vectors) learned in 3 years French « ever » looping process

15. Autonomous learning 2/2 insectivorous passerine bird … ADJ, … N, GOV … … PH TXT VVV V V V V V  (X,Y) Weighted sum

17. Hyperonyms identifications Extraction Try all terms  too costly and unproductive Extract potential candidates  From definitions, cooccurence lists etc. Ex: Cand(emerald) = precious stone, stone, beryl, gem, … Evaluation of cand (m) to meaning (m) Contextualize :  (c,m) = c  (c  m) Retain c such as  (c,m) is the closest to m Loop: extracting hyper helps identifying meanings

18. Émeraude/pierre précieuseÉmeraude/béryl béryl Pierre précieuse Gemme/pierre précieuseGemme/bourgeonGemme/résine closest vector Émeraude/gemme … v v v vv v Émeraude/pierre précieuseÉmeraude/béryl béryl Pierre précieuse Gemme/pierre précieuseGemme/bourgeonGemme/résine Émeraude/gemme … v v v vv v

19. Émeraude/pierre précieuseÉmeraude/béryl béryl Pierre précieuse Gemme/pierre précieuseGemme/bourgeonGemme/résine 0.81 0.9 0.7 0.85 Émeraude/béryl béryl Pierre précieuse Gemme/pierre précieuse 0.81 0.9 0.85 Émeraude/vertÉmeraude/couleur Émeraude/vert Vert/couleur des signaux Couleur/matièreCouleur/sensation Vert/couleur … … …

20. Voiture/wagon wagon Moyen de transport véhicule/Moyen de transportvéhicule/vecteur automobile Voiture/automobile Cheval/moyen de transport Cheval/mammifère mammifère Cheval/viande Viande/nourriture aliment nourriture artefact Cheval/unité de puissance animal hypo

21. Last words Switching of representation From subsymbolic to symbolic … and vice-versa  readabily of symbols … of words global and local test functions for vector quality assessment decision taking about number of meanings … or views 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