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Tutorial Abstracts of ACL 2012, page 3, Jeju, Republic of Korea, 8 July 2012. c 2012 Association for Computational Linguistics Topic Models, Latent Space Models, Sparse Coding, and All That: A systematic understanding of probabilistic semantic extraction in large corpus Eric Xing School of Computer Science Carnegie Mellon University Abstract Probabilistic topic models have recently gained much popularity in informational re- trieval and related areas. Via such mod- els, one can project high-dimensional objects such as text documents into a low dimen- sional space where their latent semantics are captured and modeled; can integrate multiple sources of information—to ”share statistical strength” among components of a hierarchical probabilistic model; and can structurally dis- play and classify the otherwise unstructured object collections. However, to many practi- tioners, how topic models work, what to and not to expect from a topic model, how is it dif- ferent from and related to classical matrix al- gebraic techniques such as LSI, NMF in NLP, how to empower topic models to deal with complex scenarios such as multimodal data, contractual text in social media, evolving cor- pus, or presence of supervision such as la- beling and rating, how to make topic mod- eling computationally tractable even on web- scale data, etc., in a principled way, remain un- clear. In this tutorial, I will demystify the con- ceptual, mathematical, and computational is- sues behind all such problems surrounding the topic models and their applications by present- ing a systematic overview of the mathemati- cal foundation of topic modeling, and its con- nections to a number of related methods pop- ular in other fields such as the LDA, admix- ture model, mixed membership model, latent space models, and sparse coding. I will offer a simple and unifying view of all these tech- niques under the framework multi-view latent space embedding, and online the roadmap of model extension and algorithmic design to- ward different applications in IR and NLP. A main theme of this tutorial that tie together a wide range of issues and problems will build on the ”probabilistic graphical model” formal- ism, a formalism that exploits the conjoined talents of graph theory and probability theory to build complex models out of simpler pieces. I will use this formalism as a main aid to dis- cuss both the mathematical underpinnings for the models and the related computational is- sues in a unified, simplistic, transparent, and actionable fashion. 3 . Models, Sparse Coding, and All That: A systematic understanding of probabilistic semantic extraction in large corpus Eric Xing School of Computer Science Carnegie. present- ing a systematic overview of the mathemati- cal foundation of topic modeling, and its con- nections to a number of related methods pop- ular in other

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