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c 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 Car

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Tutorial Abstracts of ACL 2012, page 3, Jeju, Republic of Korea, 8 July 2012 c

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

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