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I don't even know what my problem is called, so I can't research literature on it. I'm hoping someone can point me in the right direction. I have a little experience with sentiment analysis, but what I want to do is more specific. Rather than evaluating the general sentiment of a body of text, I want to evaluate the sentiment about a particular subject in a body of text. For example, let's say I have an article about President Obama. One sentence says

President Obama arrived in Florida and saw the horrific destruction left behind by the hurricane.

While the general / overall sentiment of this sentence would like be negative, Obama is spoken about fairly neutrally. This is what I mean by about-sentiment. I want to evaluate (with a computer) how positively or negatively the text speaks about a specific subject.

What is this called? Is there literature on it? How can I proceed?

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Google NLP and others call this 'Entity Sentiment Analysis' (versus document sentiment analysis). Also see "aspect based sentiment', e.g., https://arxiv.org/pdf/1805.07043.pdf Finally, look at OpenAI's approach. It isn't entity/aspect oriented but the sentiment shifts as it reads: https://blog.openai.com/unsupervised-sentiment-neuron/

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