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Many large-scale, complex systems consist of interactions between humans, human-made systems and the environment. The approach developed in this paper is to partition the problem space into two fundamental layers and identify, parameterize…

Computers and Society · Computer Science 2016-12-06 Edwin Upchurch , Leila Meshket

As Physics did in previous centuries, there is currently a common dream of extracting generic laws of nature in economics, sociology, neuroscience, by focalising the description of phenomena to a minimal set of variables and parameters,…

Physics and Society · Physics 2016-10-14 Fatihcan M. Atay , Sven Banisch , Philippe Blanchard , Bruno Cessac , Eckehard Olbrich

As AI systems move from generating text to accomplishing goals through sustained interaction, the ability to model environment dynamics becomes a central bottleneck. Agents that manipulate objects, navigate software, coordinate with others,…

Mutual misunderstanding in contemporary society does not arise merely because people hold different opinions or values. Even under the same observations, different subjects may form different inferential targets, state representations,…

Artificial Intelligence · Computer Science 2026-05-29 Toru Takahashi

Many complex networks are only a part of larger systems, where a number of coexisting topologies interact and depend on each other. We introduce a layered model to facilitate the description and analysis of such systems. As an example of…

Physics and Society · Physics 2007-05-23 Maciej Kurant , Patrick Thiran

Humans understand the world through the integration of multiple sensory modalities, enabling them to perceive, reason about, and imagine dynamic physical processes. Inspired by this capability, multimodal foundation models (MFMs) have…

Artificial Intelligence · Computer Science 2025-10-07 Xuehai He

Many networks in natural and human-made systems exhibit scale-free properties and are small worlds. Now we show that people's understanding of complex systems in their cognitive maps also follow a scale-free topology. People focus on a few…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Uygar Ozesmi

Since there are different ways of axiomatizing and developing a mathematical theory, knowledge about a such a theory may reside in many places and in many forms within a library of formalized mathematics. We introduce the notion of a realm…

Mathematical Software · Computer Science 2014-05-26 Jacques Carette , William M. Farmer , Michael Kohlhase

World models have garnered substantial interest in the AI community. These are internal representations that simulate aspects of the external world, track entities and states, capture causal relationships, and enable prediction of…

Artificial Intelligence · Computer Science 2025-11-18 Tarun Gupta , Danish Pruthi

Verification and validation of automated driving functions impose large challenges. Currently, scenario-based approaches are investigated in research and industry, aiming at a reduction of testing efforts by specifying safety relevant…

World models have emerged as a critical frontier in AI research, aiming to enhance large models by infusing them with physical dynamics and world knowledge. The core objective is to enable agents to understand, predict, and interact with…

The proposal of Six Degrees of Separation makes people realize that the world is not as big as we imagined. Even if the world's population now exceeds 7 billion, two strangers can still get in touch through a limited intermediary. When…

Social and Information Networks · Computer Science 2022-09-15 Zhimin Zhang , Fang Zhou , Huansheng Ning

World modeling has become a cornerstone in AI research, enabling agents to understand, represent, and predict the dynamic environments they inhabit. While prior work largely emphasizes generative methods for 2D image and video data, they…

Understanding 3D scenes requires flexible combinations of visual reasoning tasks, including depth estimation, novel view synthesis, and object manipulation, all of which are essential for perception and interaction. Existing approaches have…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Wanhee Lee , Klemen Kotar , Rahul Mysore Venkatesh , Jared Watrous , Honglin Chen , Khai Loong Aw , Daniel L. K. Yamins

Large scale visual understanding is challenging, as it requires a model to handle the widely-spread and imbalanced distribution of <subject, relation, object> triples. In real-world scenarios with large numbers of objects and relations,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Ji Zhang , Yannis Kalantidis , Marcus Rohrbach , Manohar Paluri , Ahmed Elgammal , Mohamed Elhoseiny

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno

This paper discusses the benefits of describing the world as information, especially in the study of the evolution of life and cognition. Traditional studies encounter problems because it is difficult to describe life and cognition in terms…

Information Theory · Computer Science 2013-04-05 Carlos Gershenson

We introduce and investigate the concept of Stratified Algebra, a new algebraic framework equipped with a layer-based structure on a vector space. We formalize a set of axioms governing intra-layer and inter-layer interactions, study their…

General Mathematics · Mathematics 2025-05-27 Stanislav Semenov

Ecology studies biodiversity in its variety and complexity. It describes how species distribute and perform in response to environmental changes. Ecological processes and structures are highly complex and adaptive. In order to quantify…

Populations and Evolution · Quantitative Biology 2013-10-09 Cang Hui

The performance of machine learning models relies heavily on the quality of input data, yet real-world applications often face significant data-related challenges. A common issue arises when curating training data or deploying models: two…

Machine Learning · Computer Science 2025-09-24 Varun Babbar , Zhicheng Guo , Cynthia Rudin
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