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Machine Learning and Cognitive Science of Language Acquisition
Pascal

A Bayesian approach to the Poverty of the stimulus

author: Amy Perfors, Computational Cognitive Science Group, Department of Brain and Cognitive Sciences, MIT

Description

Shown that given reasonable domain-general assumptions, an unbiased rational learner could realize that languages have a hierarchical structure based on typical child-directed input. Can use this paradigm to explore the role of recursive elements in a grammar: the “winning” grammar contains additional non-recursive counterparts for complex NPs; perhaps language, while fundamentally recursive, contains duplicate non-recursive elements that more precisely match the input?

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Slides
0:00 A Bayesian Approach to the Poverty of the Stimulus
0:00 Innate - Learned
0:21 Explicit Structure - No explicit Structure
0:50 Language has hierarchical phrase structure
1:40 Why believe that language has hierarchical phrase structure?
2:44 Why believe that structure dependence is innate?
3:36 Why believe it’s notinnate? - part 1
4:15 Why believe it’s notinnate? - part 2
4:52 Why believe it’s notinnate? - part 3
5:05 Our argument - part 1
5:08 Our argument - part 2
6:11 Plan
6:57 The model: Data
8:11 Data
8:35 Data: variation - part 1
9:00 Data: variation - part 2
9:18 Data: amount available
10:03 Data: amount comprehended
10:56 The model
12:14 Grammar types
13:01 Specific hierarchical grammars: Hand-designd
14:22 Specific linear grammars: Hand-designed - part 1
14:51 Specific linear grammars: Hand-designed - part 2
15:22 Specific linear grammars: Hand-designed - part 3
16:07 Specific linear grammars: Hand-designed - part 4
16:22 Automated search
17:28 The model
17:32 Grammars - part 1
18:04 Grammars - part 2
18:17 Tradeoff: Complexity vs. Fit
18:48 Measuring complexity: prior
19:37 Measuring fit: likelihood
20:11 Plan
20:14 Results: data split by frequency levels (estimate of comprehension)
21:42 Results: data split by age (estimate of availability) - part 1
21:43 Results: data split by age (estimate of availability) - part 2
22:44 Generalization: How well does each grammar predict sentences it hasn’t seen? - part 1
22:56 Generalization: How well does each grammar predict sentences it hasn’t seen? - part 2
23:44 Take-home messages
25:41 Implications for innateness?

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