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Foundation models can be disruptive for future AI development by scaling up deep learning in terms of model size and training data's breadth and size. These models achieve state-of-the-art performance (often through further adaptation) on a…

Artificial Intelligence · Computer Science 2022-12-20 Johannes Schneider

Conceptual reasoning, the ability to reason in abstract and high-level perspectives, is key to generalization in human cognition. However, limited study has been done on large language models' capability to perform conceptual reasoning. In…

Computation and Language · Computer Science 2024-04-02 Ben Zhou , Hongming Zhang , Sihao Chen , Dian Yu , Hongwei Wang , Baolin Peng , Dan Roth , Dong Yu

As artificial intelligence systems become increasingly integrated into daily life, the field of explainability has gained significant attention. This trend is particularly driven by the complexity of modern AI models and their…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Rémi Kazmierczak , Eloïse Berthier , Goran Frehse , Gianni Franchi

People care about decision outcomes and how decisions get made, both when making decisions and reflecting on decisions. But formalizing the full range of normative concerns that drive decisions is an open challenge. We introduce Axiomatic…

Artificial Intelligence · Computer Science 2026-02-11 Ben Abramowitz , Nicholas Mattei

Modeling emotional-cognition is in a nascent stage and therefore wide-open for new ideas and discussions. In this paper the author looks at the modeling problem by bringing in ideas from axiomatic mathematics, information theory, computer…

Artificial Intelligence · Computer Science 2013-04-23 Rajendra K. Bera

The release of ChatGPT, Gemini, and other large language model has drawn huge interests on foundations models. There is a broad consensus that foundations models will be the fundamental building blocks for future AI systems. However, there…

Computation and Language · Computer Science 2024-07-17 Qinghua Lu , Liming Zhu , Xiwei Xu , Zhenchang Xing , Jon Whittle

All aspects of our society, including the life sciences, need a mechanism for people working within them to represent the concepts they employ to carry out their research. For the information systems being designed and developed to support…

Human-Computer Interaction · Computer Science 2025-06-24 R. Lukyanenko , O. Pastor , V. C. Storey

In recent years, promising mathematical models have been suggested which aim to describe conscious experience and its relation to the physical domain. Whereas the axioms and metaphysical ideas of these theories have been carefully…

Neurons and Cognition · Quantitative Biology 2020-07-15 Johannes Kleiner

We discuss that how the majority of traditional modeling approaches are following the idealism point of view in scientific modeling, which follow the set theoretical notions of models based on abstract universals. We show that while…

Artificial Intelligence · Computer Science 2017-09-12 Vahid Moosavi

Troubleshooting systems is integral to experimental physics in both research and instructional laboratory settings. The recently adopted AAPT Lab Guidelines identify troubleshooting as an important learning outcome of the undergraduate…

The hypothesis that computational models can be reliable enough to be adopted in prognosis and patient care is revolutionizing healthcare. Deep learning, in particular, has been a game changer in building predictive models, thus leading to…

Machine Learning · Statistics 2019-06-17 Jayaraman J. Thiagarajan , Deepta Rajan , Prasanna Sattigeri

We review the philosophical framework of mathematical conceptualism as an alternative to set-theoretic foundations and show how mainstream mathematics can be developed on this basis. The paper includes an explicit axiomatization of the…

History and Overview · Mathematics 2009-05-12 Nik Weaver

Many scientific fields, from medicine to seismology, rely on analyzing sequences of events over time to understand complex systems. Traditionally, machine learning models must be built and trained from scratch for each new dataset, which is…

Machine Learning · Computer Science 2026-01-21 David Berghaus , Patrick Seifner , Kostadin Cvejoski , Ramses J. Sanchez

Concept explanation is a popular approach for examining how human-interpretable concepts impact the predictions of a model. However, most existing methods for concept explanations are tailored to specific models. To address this issue, this…

Machine Learning · Computer Science 2024-01-17 Zhili Feng , Michal Moshkovitz , Dotan Di Castro , J. Zico Kolter

Although simulation represents a major advance in the understanding of problems in complex systems, the field currently does not has standards in place that would guide the reporting of the data underlying each model, the process for model…

Chaotic Dynamics · Physics 2011-12-26 Elias Carvalho , Luciano Andrade , Ricardo Chaim , Ricardo Pietrobon

Axiomatic set theory is almost universally accepted as the basic theory which provides the foundations of mathematics, and in which the whole of present day mathematics can be developed. As such, it is the most natural framework for…

Logic in Computer Science · Computer Science 2012-03-29 Arnon Avron

Foundation models, as a mainstream technology in artificial intelligence, have demonstrated immense potential across various domains in recent years, particularly in handling complex tasks and multimodal data. In the field of geophysics,…

Geophysics · Physics 2025-04-28 Hanlin Sheng , Xinming Wu , Hang Gao , Haibin Di , Sergey Fomel , Jintao Li , Xu Si

A clear definition of system dynamics modeling can provide shared understanding and clarify the impact of the field. We introduce a set of characteristics that define quantitative system dynamics, selected to capture core philosophy,…

Systems and Control · Electrical Eng. & Systems 2023-08-01 Asmeret Naugle , Saeed Langarudi , Timothy Clancy

Recent advances in foundation models, especially in large multi-modal models and conversational agents, have ignited interest in the potential of generally capable embodied agents. Such agents will require the ability to perform new tasks…

Reasoning, a crucial ability for complex problem-solving, plays a pivotal role in various real-world settings such as negotiation, medical diagnosis, and criminal investigation. It serves as a fundamental methodology in the field of…