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Complex systems are difficult to study not only because they are nonlinear, multiscale, and often nonstationary, but because their scientifically relevant organization is often invisible at the level of individual components, pairwise…

Physics and Society · Physics 2026-03-30 Mark M. Bailey

The remarkable success of Large Language Models (LLMs) in generative tasks has raised fundamental questions about the nature of their acquired capabilities, which often appear to emerge unexpectedly without explicit training. This paper…

Computation and Language · Computer Science 2025-08-07 Vladimír Havlík

Emergent effect is crucial to understanding the properties of complex systems that do not appear in their basic units, but there has been a lack of theories to measure and understand its mechanisms. In this paper, we consider emergence as a…

Adaptation and Self-Organizing Systems · Physics 2025-01-22 Johnny Jingze Li , Sebastian Prado Guerra , Kalyan Basu , Gabriel A. Silva

Assistive systems for visually impaired individuals must deliver rapid, interpretable, and adaptive feedback to facilitate real-time navigation. Current approaches face a trade-off between latency and semantic richness: natural…

Artificial Intelligence · Computer Science 2025-05-29 Ruxiao Chen , Dezheng Han , Wenjie Han , Shuaishuai Guo

In-context learning is a surprising and important phenomenon that emerged when modern language models were scaled to billions of learned parameters. Without modifying a large language model's weights, it can be tuned to perform various…

Computation and Language · Computer Science 2023-03-15 Noam Wies , Yoav Levine , Amnon Shashua

We present a mathematical framework (referred to as Context-driven Actualization of Potential, or CAP) for describing how entities change over time under the influence of a context. The approach facilitates comparison of change of state of…

General Physics · Physics 2019-07-09 Liane Gabora , Diederik Aerts

With the rapid development of deep learning, most of current state-of-the-art techniques in natural langauge processing are based on deep learning models trained with argescaled static textual corpora. However, we human beings learn and…

Computation and Language · Computer Science 2019-11-05 Shangmin Guo

Planning is a crucial element of both human intelligence and contemporary large language models (LLMs). In this paper, we initiate a theoretical investigation into the emergence of planning capabilities in Transformer-based LLMs via their…

Machine Learning · Computer Science 2024-11-12 Siwei Wang , Yifei Shen , Shi Feng , Haoran Sun , Shang-Hua Teng , Wei Chen

A natural next step in the evolution of constraint-based grammar formalisms from rewriting formalisms is to abstract fully away from the details of the grammar mechanism---to express syntactic theories purely in terms of the properties of…

cmp-lg · Computer Science 2008-02-03 James Rogers

Transformer based language models (LMs) demonstrate increasing performance with scale across a wide variety of tasks. Scale alone however cannot enable models to solve tasks that require access to ephemeral, changing, or private data that…

Computation and Language · Computer Science 2022-05-25 Aaron Parisi , Yao Zhao , Noah Fiedel

Many recent studies have found evidence for emergent reasoning capabilities in large language models (LLMs), but debate persists concerning the robustness of these capabilities, and the extent to which they depend on structured reasoning…

Computation and Language · Computer Science 2025-06-09 Yukang Yang , Declan Campbell , Kaixuan Huang , Mengdi Wang , Jonathan Cohen , Taylor Webb

Large Language Models (LLMs) have demonstrated a remarkable ability to capture extensive world knowledge, yet how this is achieved without direct sensorimotor experience remains a fundamental puzzle. This study proposes a novel theoretical…

Artificial Intelligence · Computer Science 2025-07-17 Tadahiro Taniguchi , Ryo Ueda , Tomoaki Nakamura , Masahiro Suzuki , Akira Taniguchi

Large language models (LLMs) encode vast world knowledge in their parameters, yet they remain fundamentally limited by static knowledge, finite context windows, and weakly structured causal reasoning. This survey provides a unified account…

Computation and Language · Computer Science 2026-04-06 Prakhar Bansal , Shivangi Agarwal

Since its application to systems, emergence has been explained in terms of levels of observation. This approach has led to confusion, contradiction, incoherence and at times mysticism. When the idea of level is replaced by a framework of…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Alex J. Ryan

The development of large language models (LLMs) is limited by a lack of explainability, the absence of a unifying theory, and prohibitive operational costs. We propose a neuro-theoretical framework for the emergence of intelligence in…

Artificial Intelligence · Computer Science 2025-12-02 Wu Yonggang

Retrieval-augmented large language models (LLMs) have been remarkably competent in various NLP tasks. However, it was observed by previous works that retrieval is not always helpful, especially when the LLM is already knowledgeable on the…

Computation and Language · Computer Science 2024-12-16 Chengkai Huang , Yu Xia , Rui Wang , Kaige Xie , Tong Yu , Julian McAuley , Lina Yao

Although Speech Large Language Models have achieved notable progress, a substantial modality reasoning gap remains: their reasoning performance on speech inputs is markedly weaker than on text. This gap could be associated with…

Computation and Language · Computer Science 2026-04-21 Chaoren Wang , Heng Lu , Xueyao Zhang , Shujie Liu , Yan Lu , Jinyu Li , Zhizheng Wu

We recently reported evidence that large language models are capable of solving a wide range of text-based analogy problems in a zero-shot manner, indicating the presence of an emergent capacity for analogical reasoning. Two recent…

Computation and Language · Computer Science 2024-05-01 Taylor Webb , Keith J. Holyoak , Hongjing Lu

Emergent intelligence have played a major role in the modern AI development. While existing studies primarily rely on empirical observations to characterize this phenomenon, a rigorous theoretical framework remains underexplored. This study…

Machine Learning · Computer Science 2026-05-13 Jun Shu , Junxiong Jia , Deyu Meng , Zongben Xu

Stochastic embedding transitions introduce a probabilistic mechanism for adjusting token representations dynamically during inference, mitigating the constraints imposed through static or deterministic embeddings. A transition framework was…

Computation and Language · Computer Science 2025-08-11 Stefan Whitaker , Colin Sisate , Marcel Windsor , Nikolai Fairweather , Tarquin Goldborough , Oskar Lindenfeld