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Isotonic Conditional Random Fields
and Local Sentiment Flow
Yi Mao Guy Lebanon
School of Elec. and Computer Engineering Department of Statistics, and
Purdue University - West Lafayette, IN School of Elec. and Computer Engineering
ymao@ Purdue University - West Lafayette, IN
lebanon@
Abstract
We examine the problem of predicting local sentiment flow in documents, and its
application to several areas of text analysis. Formally, the problem is stated as
predicting an ordinal sequence based on a sequence of word sets. In the spirit of
isotonic regression, we develop a variant of conditional random fields that is well-
suited to handle this problem. Using the M¨obius transform, we express the model
as a simple convex optimization problem. Experiments demonstrate the model and
its applications to sentiment prediction, style analysis, and text summarization.
1 Introduction
The World Wide Web and other textual databases provide a convenient platform for exchanging
opinions. Many documents, such as reviews and blogs, are written with the purpose of conveying a
particular opinion or sentiment. Other documents may not be written with the purpose of conveying
an opinion, but nevertheless they contain one. Opinions, or sentiments, may be considered in several
ways, the simplest of which is varying from positive opinion, through neutral, to negative opinion.
Most of the research in information retrieval has focused on predicting the topic of a document, or
its relevance with respect to a query. Predicting the document’s sentiment would allow matching
the sentiment, as well as the topic, with the use
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