Cross-situational learning: A mathematical approach

Kenneth Smith; Andrew D. M. Smith; Richard A. Blythe; Paul Vogt

Cross-situational learning: A mathematical approach

Kenneth Smith, Andrew D. M. Smith, Richard A. Blythe, Paul Vogt

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present a mathematical model of cross-situational learning, in which we quantify the learnability of words and vocabularies. We find that high levels of uncertainty axe not an impediment to learning single words or whole vocabulary systems, as long as the level of uncertainty is somewhat lower than the total number of meanings in the system. We further note that even large vocabularies are learnable through cross-situational learning.

Original language	English
Title of host publication	SYMBOL GROUNDING AND BEYOND, PROCEEDINGS
Editors	P Vogt, Y Sugita, E Tuci, C Nehaniv
Place of Publication	BERLIN
Publisher	Springer
Pages	31-44
Number of pages	14
ISBN (Print)	3-540-45769-0
Publication status	Published - 2006
Event	3rd Annual International Wokshop on Emergence and Evolution of Linguistic Communication - Rome Duration: 30 Sept 2006 → 1 Oct 2006

Conference

Conference	3rd Annual International Wokshop on Emergence and Evolution of Linguistic Communication
City	Rome
Period	30/09/06 → 1/10/06

Cite this

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title = "Cross-situational learning: A mathematical approach",

abstract = "We present a mathematical model of cross-situational learning, in which we quantify the learnability of words and vocabularies. We find that high levels of uncertainty axe not an impediment to learning single words or whole vocabulary systems, as long as the level of uncertainty is somewhat lower than the total number of meanings in the system. We further note that even large vocabularies are learnable through cross-situational learning.",

author = "Kenneth Smith and Smith, {Andrew D. M.} and Blythe, {Richard A.} and Paul Vogt",

year = "2006",

language = "English",

isbn = "3-540-45769-0",

pages = "31--44",

editor = "P Vogt and Y Sugita and E Tuci and C Nehaniv",

booktitle = "SYMBOL GROUNDING AND BEYOND, PROCEEDINGS",

publisher = "Springer",

address = "United Kingdom",

note = "3rd Annual International Wokshop on Emergence and Evolution of Linguistic Communication ; Conference date: 30-09-2006 Through 01-10-2006",

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TY - GEN

T1 - Cross-situational learning: A mathematical approach

AU - Smith, Kenneth

AU - Smith, Andrew D. M.

AU - Blythe, Richard A.

AU - Vogt, Paul

PY - 2006

Y1 - 2006

N2 - We present a mathematical model of cross-situational learning, in which we quantify the learnability of words and vocabularies. We find that high levels of uncertainty axe not an impediment to learning single words or whole vocabulary systems, as long as the level of uncertainty is somewhat lower than the total number of meanings in the system. We further note that even large vocabularies are learnable through cross-situational learning.

AB - We present a mathematical model of cross-situational learning, in which we quantify the learnability of words and vocabularies. We find that high levels of uncertainty axe not an impediment to learning single words or whole vocabulary systems, as long as the level of uncertainty is somewhat lower than the total number of meanings in the system. We further note that even large vocabularies are learnable through cross-situational learning.

M3 - Conference contribution

SN - 3-540-45769-0

SP - 31

EP - 44

BT - SYMBOL GROUNDING AND BEYOND, PROCEEDINGS

A2 - Vogt, P

A2 - Sugita, Y

A2 - Tuci, E

A2 - Nehaniv, C

PB - Springer

CY - BERLIN

T2 - 3rd Annual International Wokshop on Emergence and Evolution of Linguistic Communication

Y2 - 30 September 2006 through 1 October 2006

ER -

Cross-situational learning: A mathematical approach

Abstract

Conference

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