Neural Network-Based Next-Token Probability Distribution
Deep neural networks, such as a parameterized Transformer decoder denoted as , generate a probability distribution for the next token based on a sequence of preceding tokens, . This predicted distribution is represented as , which is often abbreviated as . The model's final output for that position is typically the token that receives the maximum probability.
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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.1 Pre-training - Foundations of Large Language Models
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Schematic of Probability Calculation in Causal Language Modeling
An autoregressive language model is given the sequence of tokens: 'The', 'cat', 'sat', 'on', 'the'. It is now tasked with predicting the very next token. Which of the following expressions correctly represents the primary calculation the model performs to determine the likelihood of the word 'mat' appearing next?
Contextual Influence on Token Probability
Analyzing Contextual Influence on Next-Token Probability
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Reconciling Training Log-Likelihood with Inference-Time Sequence Selection
Explaining a Counterintuitive Decoding Outcome Using Softmax, Next-Token Conditionals, and Sequence Log-Probability
Diagnosing a “High-Confidence Wrong Token” Bug in Autoregressive Scoring
Investigating a Production Scoring Bug: Softmax Normalization vs. Autoregressive Sequence Log-Probability
Design a Correct Sequence-Scoring Function for Autoregressive LLM Outputs
Root-Cause Analysis: Why a “More Likely” Token-by-Token Completion Loses on Total Sequence Score
Auditing a Candidate Completion Using Softmax Next-Token Probabilities and Autoregressive Log-Probability
Neural Network-Based Next-Token Probability Distribution
Initial Token Probability Assumption
Training Decoder-Only Language Models with Cross-Entropy Loss
Output Probability Calculation in Transformer Language Models
Global Nature of Standard Transformer LLMs
Processing Flow of Autoregressive Generation in a Decoder-Only Transformer
Initial Input Representation for Transformer Layers
Greedy Decoding in Language Models
Structure of a Transformer Block
A generative language model is designed to produce text by predicting the next token based solely on the sequence of tokens that came before it. If you were to adapt a standard Transformer decoder block for this specific auto-regressive task, which of its sub-layers would you remove, and why is this modification functionally necessary?
A language model is constructed using a stack of modified Transformer decoder blocks. Each block contains a self-attention sub-layer and a feed-forward network sub-layer, but lacks the sub-layer that would process information from a separate, secondary input sequence. This model is capable of performing a machine translation task, such as translating a German sentence into English, without any further architectural changes.
Function of Self-Attention in Auto-regressive Generation
Neural Network-Based Next-Token Probability Distribution
Learn After
A neural network language model, which has a vocabulary of 50,000 unique tokens, is given the input context 'The sun is shining and the sky is'. What does the model's final layer compute and output directly to represent the likelihood of the next token?
Language Model Output Structure
Interpreting Language Model Output