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Scaling up language models has been shown to predictably improve performance and sample efficiency on a wide range of downstream tasks. This paper instead discusses an unpredictable phenomenon that we refer to as emergent abilities of large…

Emergence and causality are two fundamental concepts for understanding complex systems. They are interconnected. On one hand, emergence refers to the phenomenon where macroscopic properties cannot be solely attributed to the cause of…

Physics and Society · Physics 2024-02-27 Bing Yuan , Zhang Jiang , Aobo Lyu , Jiayun Wu , Zhipeng Wang , Mingzhe Yang , Kaiwei Liu , Muyun Mou , Peng Cui

Emergence is a fascinating property of large language models and neural networks more broadly: as models scale and train for longer, they sometimes develop new abilities in sudden ways. Despite initial studies, we still lack a comprehensive…

Machine Learning · Computer Science 2025-12-11 Nicolas Zucchet , Francesco d'Angelo , Andrew K. Lampinen , Stephanie C. Y. Chan

Autonomous systems control many tasks in our daily lives. To increase trust in those systems and safety of the interaction between humans and autonomous systems, the system behaviour and reasons for autonomous decision should be explained…

Software Engineering · Computer Science 2022-09-29 Maike Schwammberger , Verena Klös

Understanding the mechanisms behind emergent behaviors in multi-agent systems is critical for advancing fields such as swarm robotics and artificial intelligence. In this study, we investigate how neural networks evolve to control agents'…

Adaptation and Self-Organizing Systems · Physics 2024-10-28 Guilherme S. Y. Giardini , John F. Hardy , Carlo R. da Cunha

We introduce skipping refinement, a new notion of correctness for reasoning about optimized reactive systems. Reasoning about reactive systems using refinement involves defining an abstract, high-level specification system and a concrete,…

Logic in Computer Science · Computer Science 2015-02-11 Mitesh Jain , Panagiotis Manolios

Modern software development without reactive programming is hard to imagine. Reactive programming favors a wide class of contemporary software systems that respond to user input, network messages, and other events. While reactive…

Software Engineering · Computer Science 2017-04-03 Stefan Ramson , Robert Hirschfeld

Reinforcement learning defines the problem facing agents that learn to make good decisions through action and observation alone. To be effective problem solvers, such agents must efficiently explore vast worlds, assign credit from delayed…

Machine Learning · Computer Science 2022-03-02 David Abel

Many systems involve numerous interacting parts and the whole system can have properties that the individual parts do not. I take this novelty as the defining characteristic of an emergent property. Other characteristics associated with…

History and Philosophy of Physics · Physics 2025-11-05 Ross H. McKenzie

The analysis of industrial processes, modelled as descriptor systems, is often computationally hard due to the presence of both algebraic couplings and difference equations of high order. In this paper, we introduce a control refinement…

Systems and Control · Computer Science 2017-04-07 Fei Chen , Sofie Haesaert , Alessandro Abate , Siep Weiland

Emergent behavior that appears at a given level of organization may be characterized as arising from an organizationally lower level in such a way that it transcends a mere increase in the behavioral degree of complexity. It is therefore to…

General Physics · Physics 2013-07-22 Gerald E. Marsh

The increasing use of complex machine learning models in education has led to concerns about their interpretability, which in turn has spurred interest in developing explainability techniques that are both faithful to the model's inner…

Machine Learning · Computer Science 2025-05-13 Juan D. Pinto , Luc Paquette

Emergence is a concept in complexity science that describes how many-body systems manifest novel higher-level properties, properties that can be described by replacing high-dimensional mechanisms with lower-dimensional effective variables…

Computation and Language · Computer Science 2025-06-16 David C. Krakauer , John W. Krakauer , Melanie Mitchell

Self-adaptive software can assess and modify its behavior when the assessment indicates that the program is not performing as intended or when improved functionality or performance is available. Since the mid-1960s, the subject of system…

Software Engineering · Computer Science 2023-02-14 Tarik A. Rashid , Bryar A. Hassan , Abeer Alsadoon , Shko Qader , S. Vimal , Amit Chhabra , Zaher Mundher Yaseen

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

Logic in Computer Science · Computer Science 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

We address the problem of the development of representations and their relationship to the environment. We study a software agent which develops in a network a representation of its simple environment which captures and integrates the…

Artificial Intelligence · Computer Science 2007-05-23 Carlos R. de la Mora B. , Carlos Gershenson , Angelica Garcia-Vega

Agent-based modeling is a paradigm of modeling dynamic systems of interacting agents that are individually governed by specified behavioral rules. Training a model of such agents to produce an emergent behavior by specification of the…

Machine Learning · Computer Science 2019-10-11 Karan K. Budhraja , Hang Gao , Tim Oates

Emergence and emergent behaviors are often defined as cases where changes in local interactions between agents at a lower level effectively changes what occurs in the higher level of the system (i.e., the whole swarm) and its properties.…

Robotics · Computer Science 2024-04-01 Ricardo Vega , Connor Mattson , Daniel S. Brown , Cameron Nowzari

Recent advances in large pretrained models have led to their widespread integration as core components in modern software systems. The trend is expected to continue in the foreseeable future. Unlike traditional software systems governed by…

Software Engineering · Computer Science 2025-07-18 Dongming Jin , Zhi Jin , Linyu Li , Xiaohong Chen

In these notes we review emergent phenomena in complex systems, emphasizing ways to identify potential underlying universal mechanisms that generates complexity. The discussion is centered around the emergence of collective behavior in…

Disordered Systems and Neural Networks · Physics 2008-04-02 Dante R. Chialvo