| 研究課題/領域番号 |
26370446
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| 研究機関 | 横浜国立大学 |
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研究代表者 |
R・A Martin 横浜国立大学, 環境情報研究院, 准教授 (30302342)
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| 研究期間 (年度) |
2014-04-01 – 2017-03-31
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| キーワード | 言語学 / 物理学 / 行列力学 / 量子力学 / 生成文法 / 国際交流 / 米国：スペイン：イタリア：英国：ドイツ |
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| 研究実績の概要 |
In the second year of the project, R.A. Martin (PI) has continued to work extensively with Prof. Juan Uriagereka (Overseas Collaborative Researcher at the U. Maryland) on the physics of language, together with Michael Jarret (doctoral student in physics at U. Maryland) and some other collaborative researchers in Europe (Roman Orus and Angel Gallego). We have made significant revisions and extensions of the model we proposed in the previous project year. In the newer approach, we treat word categories as 2x2 matrices as opposed to vectors. This allows us to treat first-merge as matrix multiplication instead of employing Hadamard multiplication, yet achieving the same empirical coverage. Perhaps the most striking result has been the discovery that resulting matrices thus form a 32 member group, which very interestingly includes the Pauil Group, and which we dub the Chomsky-Pauili Group. We then proposed an analysis of specifiers in terms of tensor products, and chains in terms of matrix addition of the resulting tensor products. Our model is able to predict that fact that only noun phrases can be specifiers and is also able to account for the types of chains that are possible in human languages.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
The project has progressed very smoothly in its second year and we believe we have made great progress towards our goals. Although we have still not be able to formalize superposition in chains precisely, we have made tremendous progress in our understanding of how the system yields such situations in general, in terms of addition of the results of tensor products. We are working on a four to five chapter book monograph, which will be submitted to a major academic publisher for review. Although our results remain unpublished at the moment, we have disseminated them publicly by organizing and presenting two talks at the first International Symposium on the Physics of Language, which were very well received by the many peer scientists, including both linguists and physicists, who attended the symposium. The symposium itself was a major success, attracting a much larger audience than we had expected (close to 100 people at the peak). We believe this to be the first ever symposium on the physics of language, and the interactions with other researchers working on similar topics were most useful in terms of the current project.
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| 今後の研究の推進方策 |
In the final year of the project, Martin and Uriagereka will continue to work extensively, along with Orus and Gallego and Jarret, on completing our monograph and most of all on the formalization of superposition and chain collapses, as well as situations involving entanglement (super-chains). We seek to extend both the formal basis and empirical reach of our model in doing so. We plan to work collaboratively using Skype and also to gather for a week-long seminar and group research meeting in Barcelona during the summer.
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| 次年度使用額が生じた理由 |
We had budgeted around 60,000JPY as an honorarium for Prof. Peter Grindrod, one of the invited speakers to the international symposium in March 2016 (POL2016), but he had to cancel his trip to Japan at the last minute (he gave his talk via Skype, but did not attend the meeting) so ultimately these funds were not paid to him and remained unused.
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| 次年度使用額の使用計画 |
The unused funds will be used next fiscal year, together with the budget originally allocated for the final year of the project, in order for Martin to make a trip to Barcelona (Universitat Autonoma de Barcelona) for a research meeting with the overseas collaborators in July of 2016.
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