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Analyzing Time Asymmetry in Large Language Models


核心概念
The author explores the time asymmetry exhibited by large language models, revealing a consistent difference between forward and backward predictions. This phenomenon challenges traditional information-theoretic expectations.
要約
The content delves into the probabilistic modeling of Autoregressive Large Language Models through the lens of time directionality. It discusses the surprising findings of a time asymmetry in predicting tokens and provides theoretical frameworks to explain this phenomenon. The experiments and theoretical discussions shed light on the intricate relationship between model training, data structure, and computational complexity. Key points include: Probabilistic modeling by Autoregressive Large Language Models. Surprising time asymmetry in predicting tokens. Theoretical explanations based on sparsity and computational complexity. Synthetic datasets illustrating computational hardness. Communication setup demonstrating sparsity impact on learning. Experimental results supporting theoretical claims.
統計
"Large Language Models have gone from generating barely correct sentences to producing consistent stories, code, and performing countless new tasks." "Autoregressive LLMs factorize joint probabilities into conditional probabilities for each token knowing past ones." "Arrows of Time emerge with larger context lengths, impacting model performance." "FW models consistently exhibit lower perplexity than BW models across various settings."
引用
"Probabilistic modeling by Autoregressive Large Language Models reveals a surprising time asymmetry in predicting tokens." "Theoretical frameworks are provided to explain this phenomenon based on sparsity and computational complexity considerations."

抽出されたキーインサイト

by Vass... 場所 arxiv.org 03-12-2024

https://arxiv.org/pdf/2401.17505.pdf
Arrows of Time for Large Language Models

深掘り質問

Are AoTs universal across all human languages?

The concept of Arrows of Time (AoTs) refers to the asymmetry exhibited by models in their ability to predict tokens in one direction compared to another. The study conducted on Large Language Models (LLMs) revealed a consistent FW AoT, where forward models outperformed backward models across various languages, architectures, and context lengths. This phenomenon suggests that there is a universal presence of AoTs in natural language datasets. However, the magnitude of this effect may vary from language to language.

Can AoTs be revealed in continuous settings like video prediction?

While the research primarily focused on text data and autoregressive LLMs, it is possible for Arrows of Time (AoTs) to manifest in continuous settings such as video prediction. In these scenarios, the asymmetry between predicting future frames versus past frames could potentially lead to an AoT being observed. By analyzing how models perform when predicting sequential frames or events in videos, researchers may uncover similar directional biases seen in natural language processing tasks.

How does computational hardness relate to the emergence of an AoT?

Computational hardness plays a crucial role in explaining the emergence of Arrows of Time (AoTs). In cases where certain operations are computationally difficult or require significant resources to reverse or compute backwards, an asymmetry can arise between forward and backward predictions. For example, if a dataset involves complex mathematical operations like number factoring that are inherently hard to invert efficiently, this difficulty can result in a clear distinction between forward and backward model performance. The computational complexity involved can contribute to the presence and magnitude of an AoT observed during modeling tasks.
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