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  5. The Document Representation Problem: An Analysis of LSI and IterativeResidual Rescaling

The Document Representation Problem: An Analysis of LSI and IterativeResidual Rescaling

File(s)
2001-1843.pdf (1.03 MB)
Permanent Link(s)
https://hdl.handle.net/1813/5830
Collections
Computer Science Technical Reports
Author
Ando, Rie
Abstract

Important text analysis problems in information retrieval and natural language processing, such as document clustering and automatic text summarization, require accurate measurement of inter-document similarity. The goal of this work is to find methods for automatically creating document representations in which inter-document similarity measurements correspond to human judgment. We present a new model for the task of creating document representations. From this model, we derive a new analysis of Latent Semantic Indexing (LSI), which is one of the successful approaches that has been studied extensively. In particular, we show a precise relationship between LSI's performance and the uniformity of the underlying distribution of documents over topics. As a consequence, we propose a novel alternative method called Iterative Residual Rescaling (IRR), that, crucially, compensates for distributional non-uniformity. Experiments over a variety of practically-encountered settings and with several evaluation metrics validate our theoretical prediction and confirm the effectiveness of IRR in comparison to LSI. We also propose several extensions including a new document sampling method to scale IRR up to large document collections. Comparison with random sampling provides further empirical evidence that performance can be improved by counteracting non-uniformity. Finally, we present a system for multi-document summarization based on IRR, which demonstrates that IRR can be immediately useful in applications. We show that IRR works as a framework to find a tightly connected (and therefore interpretable) set of coherent texts, and effectively present them to the user.

Date Issued
2001-07-02
Publisher
Cornell University
Keywords
computer science
•
technical report
Previously Published as
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR2001-1843
Type
technical report

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