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General Notation for Conditional Probability Models
Conditional probability models are often expressed using the general notation , which represents the probability distribution of a target variable (indicated by the dot) given a set of conditioning variables . An alternative, more concise notation for this probability distribution is simply . This flexible notation is fundamental in statistics and machine learning for defining models that predict outcomes based on various inputs.
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Ch.4 Alignment - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
Ch.1 Pre-training - Foundations of Large Language Models
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Chain Rule
Autoregressive Conditional Probability
General Notation for Conditional Probability Models
Prediction via Optimization
A language model is analyzing a text corpus of 10,000 two-word phrases. The analysis reveals the following counts:
- The word 'deep' is the first word in 400 phrases.
- The word 'learning' is the second word in 250 phrases.
- The specific phrase 'deep learning' occurs 80 times.
Based on this data, what is the probability that the second word of a phrase is 'learning', given that the first word is 'deep'?
Predictive Text Model Comparison
Interpreting Conditional Probabilities in Text
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Implicit Conditioning in Probability Notation
A data scientist is building a model to predict whether an email is spam. The model uses the email's subject line length, the number of exclamation points, and the presence of certain keywords as inputs. Which of the following notations correctly represents the conditional probability distribution this predictive model aims to learn?
Modeling House Price Predictions
A meteorologist is building a model to forecast the probability of rain tomorrow. The model considers today's temperature, humidity, barometric pressure, and wind speed as inputs. If this model is expressed using the general notation
p(· | x₁, x₂, x₃, x₄), which of the following correctly identifies the variable represented by the·(the dot)?