Probabilities in NLP: Bigram and Unigram
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Questions and Answers

What is the maximum-likelihood bigram probability PML(Sam | am)?

  • $\frac{3}{5}$
  • $\frac{3}{2}$
  • $\frac{2}{3}$ (correct)
  • $\frac{1}{3}$

How many times does 'am' occur in the corpus based on the counts provided?

  • 4
  • 5
  • 3 (correct)
  • 2

What does C(am, Sam) represent in the context of calculating PML(Sam | am)?

  • 2 (correct)
  • 3
  • 4
  • 1

What is the purpose of calculating the maximum-likelihood unigram probability PML(Sam)?

<p>To evaluate the overall frequency of a word (C)</p> Signup and view all the answers

In the expression PML(Sam) = C(Sam) / N, what does N represent?

<p>The total number of tokens in the corpus (B)</p> Signup and view all the answers

What is the value of P(0) as given?

<p>0.91 (C)</p> Signup and view all the answers

How is P(W) calculated from the test set?

<p>P(0)^9 × P(3) (C)</p> Signup and view all the answers

What is the total number of digits in the test set?

<p>10 (C)</p> Signup and view all the answers

How is Perplexity calculated for the test set?

<p>P(W)^{-N} (B)</p> Signup and view all the answers

What does P(W) equal when calculated from the test set values provided?

<p>0.919 × 0.01 (D)</p> Signup and view all the answers

What is the primary purpose of Named Entity Recognition (NER) systems?

<p>To identify and extract named entities from text (D)</p> Signup and view all the answers

What differentiates Neural Language Modeling from Statistical Language Modeling?

<p>Neural models achieve better results by using neural network methods (A)</p> Signup and view all the answers

Which system is used to transform spoken words into written text?

<p>Speech-to-Text (STT) (C)</p> Signup and view all the answers

What technique is primarily used to understand emotions expressed in a piece of text?

<p>Sentiment Analysis (A)</p> Signup and view all the answers

How does a language model assign probabilities in natural language processing?

<p>By predicting the next word based on preceding words (C)</p> Signup and view all the answers

Which technology is primarily used in chatbots for communication?

<p>Natural Language Processing (NLP) (C)</p> Signup and view all the answers

What is the role of parsers in NLP?

<p>To analyze the syntactic structure of sentences (D)</p> Signup and view all the answers

What aspect of machine translation is offered through natural language processing?

<p>Language translation from one language to another (A)</p> Signup and view all the answers

What is the main advantage of neural smoothing over other smoothing techniques?

<p>It captures long-range dependencies and semantic similarities. (A)</p> Signup and view all the answers

Why is smoothing important in language models?

<p>It ensures all n-grams have non-zero probabilities. (B)</p> Signup and view all the answers

How does Laplace smoothing modify probability estimation for unseen words?

<p>It adds one to each count of the words. (A)</p> Signup and view all the answers

In the context of Laplace smoothing, what is represented by $P_Laplace(w_i)$?

<p>Smoothed probability estimate for word $w_i$. (B)</p> Signup and view all the answers

What does the adjusted count $c'_i$ represent in the context of Laplace smoothing?

<p>The effect of smoothing applied to the word count. (B)</p> Signup and view all the answers

What is a significant limitation of neural smoothing?

<p>It is the most advanced technique needing extensive data and resources. (C)</p> Signup and view all the answers

Which smoothing technique is noted for enhancing the generalization ability of language models?

<p>Laplace Smoothing (B)</p> Signup and view all the answers

What challenge does smoothing primarily address in statistical language models?

<p>Handling unseen n-grams. (C)</p> Signup and view all the answers

What does Maximum Likelihood Estimation (MLE) use to estimate N-gram probabilities?

<p>The observed frequency of a prefix (A)</p> Signup and view all the answers

In the bigram probability example for the sentence 'I am Sam', what is the probability of P(Sam|)?

<p>0.33 (C)</p> Signup and view all the answers

What does the equation P(wn|wn-1) represent in the context of N-gram modeling?

<p>The probability of a word given a previous word (A)</p> Signup and view all the answers

For the bigram probability calculation, what is the significance of the notation C(wn-1 wn)?

<p>It indicates the occurrence count of the word pair (B)</p> Signup and view all the answers

How is the probability P(wn|wn-1) computed according to the equations discussed?

<p>It is the count of the word pair divided by the total occurrences of the sequence (A)</p> Signup and view all the answers

What is the probability P(am|I) based on the provided bigram calculations?

<p>0.67 (A)</p> Signup and view all the answers

What is the denominator in the MLE formula used to estimate bigram probabilities?

<p>C(wn-1) (D)</p> Signup and view all the answers

Which of the following reflects the general equation for N-gram probability estimation as discussed?

<p>P(wn|wn-N+1) = C(wn-1 wn) / C(wn-1) (C)</p> Signup and view all the answers

What is the total number of tokens used in the calculation of PML for 'Sam'?

<p>18 (B)</p> Signup and view all the answers

What are the weights used for linear interpolation in the probability calculation?

<p>1 (B), 21 (C), 1 (D)</p> Signup and view all the answers

How many occurrences of the digit '0' are in the training set?

<p>91 (D)</p> Signup and view all the answers

What is the formula used to calculate the probability of each digit 'd'?

<p>C(d)/N (D)</p> Signup and view all the answers

What is the total number of digits in the training set?

<p>100 (C)</p> Signup and view all the answers

What is the naïve probability estimate for 'Sam' conditioned on 'am' using linear interpolation smoothing?

<p>12 (D)</p> Signup and view all the answers

How many times does 'Sam' occur in the given count?

<p>3 (C)</p> Signup and view all the answers

What percentage of the training set is composed of zeros?

<p>0.91 (A), 91 (B)</p> Signup and view all the answers

Flashcards

Parsing

Analyzing the grammatical structure of sentences to understand the relationships between words.

Text-to-Speech (TTS)

Converting written text into spoken words.

Named Entity Recognition (NER)

Identifying and extracting people, places, and organizations from text.

Sentiment Analysis

Understanding the emotions or opinions expressed in text.

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Machine Translation

Using computers to translate text from one language to another.

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Statistical Language Models

Probabilistic models that predict the next word in a sequence based on the preceding words.

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Neural Language Models

Using neural networks to improve language modeling, often achieving better results than traditional methods.

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Word Embeddings

Representing words as numerical vectors that capture their meaning and relationships with other words.

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N-gram Probability Estimation

Estimating the probability of a word appearing after a given sequence of words.

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Maximum Likelihood Estimation (MLE)

The method used to calculate N-gram probabilities based on observed frequencies in a corpus.

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Count (C)

The number of times a specific sequence of words appears in a corpus.

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N-gram

A sequence of N words, where N is the order of the N-gram.

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Prefix

A sequence of words preceding the current word being considered.

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N-gram Probability (P)

The probability of a word appearing given its preceding N-1 words, calculated using MLE.

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Corpus

A collection of text used to train language models.

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Sentence Start Probability (P)

The probability of a word appearing at the beginning of a sentence.

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Smoothing in Language Models

A technique used in language models to improve the accuracy of probability estimations, particularly for unseen n-grams. It addresses the issue of zero probabilities by smoothing the distribution of probabilities across the vocabulary.

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Laplace Smoothing

The simplest smoothing technique that adds 1 to each word count and adjusts the denominator accordingly. This ensures that no word has a zero probability, making the model less sensitive to unseen words.

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Unsmoothed Maximum Likelihood Estimate (MLE)

The probability of a word calculated directly from its count in the training data, without any smoothing.

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Adjusted Counts (Laplace)

Represents the actual impact of Laplace smoothing on the original counts, showing how smoothing modifies the relative frequencies.

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Neural Smoothing

A technique where the model learns the probability of words or sequences using neural networks. These networks capture the context of words and sequences, enabling them to understand long-range dependencies and semantic similarities.

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Perplexity

A measure of how well a language model predicts the next word in a sequence. Lower perplexity indicates a better model.

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Generalization

The ability of a model to perform well on unseen data, showcasing its generalization power.

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Vocabulary

A set of words that a model is trained on.

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Probability of a Test Set

The probability of a specific sequence of words appearing in a text. It is calculated by multiplying the probabilities of individual words within the sequence.

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N in Perplexity Formula

The number of words in a sequence used to calculate the probability of a word appearing after a given sequence.

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Probability of a Word (P(wi))

The probability of a specific word appearing in a text, calculated based on its frequency in the training data.

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Test Set

A collection of text used to train language models. It provides the data for the model to learn patterns and probabilities of words and sequences.

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N (Total number of tokens)

The total number of words or tokens in a given corpus or dataset.

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C(Word/Sequence)

The number of times a specific word or sequence of words appears in a corpus or dataset.

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Linear Interpolation

A method to combine two or more probabilities using weights.

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Unigram Probability (PML)

A probability model that estimates the probability of a word or sequence based only on the observed frequency in a corpus.

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Study Notes

Natural Language Processing (NLP)

  • NLP is a branch of artificial intelligence (AI) enabling computers to understand, generate, and manipulate human language.
  • It combines computational linguistics, machine learning, and deep learning models to process human language.
  • Computational linguistics focuses on understanding and constructing human language models with computers and software tools.
  • Natural language is how humans communicate daily, including speech and text.

NLP Components

  • Morphological Analysis: Examines word components (prefixes, suffixes, roots).
    • Analyzes word formation and components using machine learning.
  • Lexical Analysis: Breaks down text into fundamental units (words, punctuation, whitespace).
    • Also called tokenization.
    • Splits text into sentences and sentences into words.
  • Syntactic Analysis (Parsing): Analyzes the grammatical structure of a sentence.
    • Identifies syntactic relationships between words and phrases.
      • Part-of-speech tagging (POS) is a necessary first step.
  • Semantic Analysis: Understands the meaning of words and sentences.
    • Includes named entity recognition (NER), word sense disambiguation, and semantic role labeling.
  • Discourse Integration: Captures the context and coherence across sentences.
    • Coreference resolution is a common task, identifying when different expressions refer to the same entity.
  • Pragmatic Analysis: Understands the intended meaning beyond literal meaning.
    • Interprets idioms, sarcasm, and context-specific implications. 
    • Sentiment analysis tools like VADER assess sentiment.

NLP Applications

  • Sentiment Analysis: Determines the sentiment expressed (positive, negative, or neutral).
  • Text Classification: Categorizes text into predefined categories.
  • Chatbots and Virtual Assistants: Automates customer interactions.
  • Text Extraction: Extracts specific pieces of information (names, dates, etc.) from text.
  • Machine Translation: Translates text from one language to another.
  • Text Summarization: Creates concise summaries of text.
  • Market Intelligence: Analyzes numerous text sources for insights.
  • Auto-correct: Corrects grammar and spelling errors.
  • Intent Classification: Understands the user's intentions behind a query or statement.
  • Urgency Detection: Determines urgency in a message or request.
  • Speech Recognition: Translates speech to text.

NLP Techniques

  • Bag-of-Words (BoW): Represents text as a set of word counts.
  • TF-IDF (Term Frequency-Inverse Document Frequency): Determines word importance in a document relative to a corpus.
  • Word Embeddings: Represent words in continuous vector space.
  • Recurrent Neural Networks (RNNs): Designed for sequential data (useful for language modeling).
  • Transformers: Advanced models (like BERT and GPT) are highly effective for many NLP tasks; process entire sequences in parallel.

NLP Challenges

  • Ambiguity: Words and sentences can have multiple meanings.
  • Context Understanding: Capturing the context of words in different scenarios.
  • Data Quality: High-quality, annotated data is essential for training effective models.
  • Computational Resources: Training deep learning models can be resource-intensive.
  • Model Interpretability: Deep learning models are often difficult to understand internally ("black boxes")

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Description

Test your understanding of maximum-likelihood probabilities in natural language processing with this quiz. Questions cover bigram and unigram probabilities, as well as the concepts of counts and perplexity in a corpus. Dive into the fascinating world of language models and their calculations.

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