NLP复习(Lecture 9-15)

Lecture 9 Language Model

语言模型分两类——概率语言模型和结构语言模型

1. N-Gram Models

• Estimate probability of each word given prior context.
• Number of parameters required grows exponentially with the number of words of prior context
• An N-gram model uses only N-1 words of prior context
  — unigram: P(phone)
  — Bigram: P(phone | cell)
  — Trigram: P(phone | your cell)

2. Smoothing/Back-off

3. Linear Interpolation

• Linearly combine estimates of N-gram models of increasing order.

  
  
  

Lecture 11 Part of Speech Tagging

1. Hidden Markov Model

• Sometimes it is not possible to know precisely which states the model passes through
• We may observe some phenomena that occurs corresponding to state with probability distribution.
• the state transition is hidden
• the stochastic process of obervation is stochastic function of hidden state transition process

• HMM Example
  — Two observations: 'Rain' and 'Dry'
  — Two hideen states: "Low' and 'High' 高气压和低气压
  — 转移概率(Transition probabilities 隐藏状态之间)

  
  
  
  
  

  — Observation probabilities

  
  
  
  
  — Initial probabilities: P('Low')=0.4 P('High')=0.6

2. HMM 三种问题

• Elvalution： Give the observation sequence and HMM model(A,B,π), how do we compute the probability of O given the model；给定观测序列和模型，计算观测序列的生成概率。（Forward-Backward algorithm）

  
  
  
• Decoding：Given the observation sequence and an HMM model, how do we find the state sequence that best explains the observations；给定观测序列和模型，输出最有可能的隐藏序列。（Viterbi algorithm）
  — find the global optimal results through find stage optimal
  — if the best path ending in goes through then it should coincide with the best path ending in
• Learning：How do we adjust the model parameters to maximize P(O|model)
• N-best algorithm is similar to HMM, and it keeps the N best paths.

Lecture 12 Parsing

1. Parsing Approaches for Context-Free Grammar(CFG)

— Top-down Approach
— Bottom-up Approach

2. Regular Grammar

• A regular is denoted as G=(V,T,P,S)
  — V are finite set of non-terminal variables
  — T are finite set of terminal variables
  — S are start symbol
  — P is a finite set of productions. Consist of productions like V->B
• Left hand side: one non-terminal symbol
• Right hand side: empty string / a terminal symbol/ a non-terminal sysbol following a terminal symbol

3. Top-down Parsing

• Begin with the start symbol S and produce the right hand side of the rule
• Match the left-hand side of CFG rules to non-terminals in the string, replacing them with the right-hand side of the rule.
• Continue untill all the non-terminals are replaced by terminals, such that they correspond to the symbols in the sentence.
• The parse succeeds when all words in the sentence are generated.

Lecture 14 Text Categorization

1. Term Selection

• Examples
  — Chi Square
  — Mutual Information
  — Information Gain
  — Information Ratio
  — Odd Ratio

2. Feature Generation

• Latent Semantic Indexing(LSI)
• Explicit Semantic Indexing(ESI)

3. Nearest-Neighbor Learning Algorithm

• Compute similarity between x and all examples in D.
• Assign x the category of the most similar example in D.

4. Category Scoring for weighted-sum

• The score for a category is the sum of the similarity scores between the point to be classified and all of its k-neighbors that belong to the given category.