22 - Conditional Random Fields
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Questions and Answers

What is the main motivation for using Conditional Random Fields over Hidden Markov Models in NLP applications?

Co-occurrences of terms matter.

What type of model is a Maximum Entropy Markov Model and how does it differ from a Hidden Markov Model?

Conditional model, non-generative.

Why can normalization be ignored in inference for a Linear-Chain Conditional Random Field?

Normalization can be ignored in inference because of the Viterbi Algorithm.

How is training typically done for Conditional Random Fields?

<p>Supervised learning by setting the derivative of the log-likelihood zero.</p> Signup and view all the answers

What optimization problem arises during training of Conditional Random Fields?

<p>Convex optimization problem.</p> Signup and view all the answers

Name three popular approaches used for training Conditional Random Fields.

<p>Improved Iterative Scaling, Conjugate gradient descent, Limited Memory Quasi-Newton approaches.</p> Signup and view all the answers

In the context of Conditional Random Fields, what does the term 'feature functions' refer to?

<p>Functions that capture the co-occurrence patterns of terms in the input data</p> Signup and view all the answers

Why is the normalization step in Linear-Chain Conditional Random Fields able to be ignored during inference?

<p>Because the exponential function used in CRFs is monotone, so normalization is unnecessary</p> Signup and view all the answers

What is the fundamental difference between the objective functions optimized during training for Hidden Markov Models and Conditional Random Fields?

<p>HMMs optimize the joint likelihood of the observations and labels, while CRFs optimize the conditional likelihood of labels given observations</p> Signup and view all the answers

In the context of Linear-Chain Conditional Random Fields, what does the Viterbi algorithm compute during inference?

<p>The most likely sequence of labels for the given observation sequence</p> Signup and view all the answers

What type of optimization problem arises during training of Conditional Random Fields, according to the text?

<p>A convex optimization problem</p> Signup and view all the answers

Which of the following is NOT a popular approach used for training Conditional Random Fields?

<p>Expectation-Maximization algorithm</p> Signup and view all the answers

Study Notes

Conditional Random Fields – Motivation

  • Hidden Markov Model (HMM) is a directed graph with strong temporal order, where a joint model of and only interacts with.
  • However, in NLP applications, co-occurrences of terms matter, which is not captured by HMM.

Maximum Entropy Markov Model

  • It is a conditional model for, non-generative.
  • It uses feature functions derived from.

Linear-Chain Conditional Random Field

  • Normalization can be ignored in inference because of.

Viterbi Algorithm for Linear-Chain CRF

  • Use Viterbi algorithm to find the path with maximum.
  • Initial states: Recurrence: Best path by backtracking from the maximum.
  • Inference is similar to before, using the Viterbi algorithm, at least if we are only interested in finding the maximum, not the true probability.

Training for CRF

  • Supervised learning is done by setting the derivative of the (conditional) log-likelihood zero.
  • The likelihood of, which is constant with respect to the true parameters, can be dropped.
  • Summing over all training documents (and adding a regularization) results in a convex optimization problem.
  • Popular approaches for numerical optimization include:
    • Improved Iterative Scaling
    • Conjugate gradient descent
    • Limited Memory Quasi-Newton approaches

Conclusions

  • Hidden Markov Models are a standard technique for processing sequences.
  • Conditional Random Fields are a suitable alternative for NLP applications where co-occurrences of terms matter.

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Description

Explore the motivation behind using Conditional Random Fields in Natural Language Processing (NLP) applications, comparing it with Hidden Markov Model and Maximum Entropy Markov Model. Learn about Linear-Chain Conditional Random Fields and the Viterbi Algorithm for inference.

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