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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