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Text Generation Probability
The probability of generating a specific text sequence, denoted as , given a preceding context, denoted as , is represented by the formula . This conditional probability is a fundamental concept in language modeling, quantifying the likelihood that a model will produce a particular output. When the language model is parameterized by a set of parameters , this probability is explicitly written as to indicate its dependence on the model's parameters.
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Ch.2 Generative Models - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
Ch.5 Inference - Foundations of Large Language Models
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Fundamental LLM Training Objective
Diverse and Combined Data Sources for LLM Pre-training
Traditional View on Diminishing Returns from Scaling
Text Generation Probability
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Scaling Laws as a Fundamental Principle in LLM Development
Decoding as a Search Process in LLMs
The Virtuous Cycle of Scaling in Language Models
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LLM Scaling Strategy for a New Application
Comparison of Traditional vs. Modern Views on LLM Scaling
Modern View on Continued Performance Gains from Scaling
Mathematical Notation for Text Generation Probability
A research team is developing a large language model designed to analyze and summarize entire novels in a single pass. Based on the core principles of scaling these models, what is the primary architectural challenge they must overcome?
A development team is building a large-scale language model and has a fixed budget for the computational resources required for training. They observe that their current model, which has a moderately complex architecture, stops improving its performance even when they continue training it on their existing large dataset. To achieve a significant leap in the model's capabilities, which of the following approaches represents the most effective use of their limited computational budget?
A leading AI research lab is deciding between two major projects for their next-generation language model.
- Project Alpha: Aims to train a model on a dataset ten times larger than any previously used, using a well-established architecture that has known limitations with very long text inputs.
- Project Beta: Aims to develop a novel model architecture capable of processing entire books as a single input, but due to the experimental nature and computational cost of this new design, i
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Fundamental LLM Training Objective
LLM Policy as a Probability Distribution
A language model is given the context: 'The chef carefully added the final, crucial ingredient to the simmering stew: a pinch of...'. The model must predict the next word. Below are the conditional probabilities,
Pr(next_word | context), calculated by two different models for four possible next words.Next Word Model A Probability Model B Probability salt 0.65 0.20 concrete 0.02 Mathematical Notation for Text Generation Probability
Evaluating Language Model Suitability
Predicting Next-Word Likelihood
Loss Function for Language Modeling