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Physical theories grounded in mathematical symmetries are an essential component of our understanding of a wide range of properties of the universe. Similarly, in the domain of machine learning, an awareness of symmetries such as rotation…

Physical symmetries provide a strong inductive bias for constructing functions to analyze data. In particular, this bias may improve robustness, data efficiency, and interpretability of machine learning models. However, building machine…

High Energy Physics - Phenomenology · Physics 2025-11-05 Pradyun Hebbar , Thandikire Madula , Vinicius Mikuni , Benjamin Nachman , Nadav Outmezguine , Inbar Savoray

The fundamental laws of physics are intrinsically geometric, dictating the evolution of systems through principles of symmetry and conservation. While modern machine learning offers powerful tools for modeling complex dynamics from data,…

Machine Learning · Computer Science 2025-07-22 Amine Mohamed Aboussalah , Abdessalam Ed-dib

We develop a network of Bayesian agents that collectively model the mental states of teammates from the observed communication. Using a generative computational approach to cognition, we make two contributions. First, we show that our agent…

Human-Computer Interaction · Computer Science 2023-03-29 Samuel Westby , Christoph Riedl

In contemporary theoretical physics, the powerful notion of symmetry stands for a web of intricate meanings among which I identify four clusters associated with the notion of transformation, comprehension, invariance and projection. While…

History and Philosophy of Physics · Physics 2013-12-23 Amaury Mouchet

An important problem in geometric reasoning is to find the configuration of a collection of geometric bodies so as to satisfy a set of given constraints. Recently, it has been suggested that this problem can be solved efficiently by…

Artificial Intelligence · Computer Science 2009-09-25 S. Bhansali , G. A. Kramer , T. J. Hoar

A multi-decade exploration into the theoretical foundations of artificial and natural general intelligence, which has been expressed in a series of books and papers and used to guide a series of practical and research-prototype software…

Artificial Intelligence · Computer Science 2021-04-06 Ben Goertzel

Intelligence is a human construct to represent the ability to achieve goals. Given this wide berth, intelligence has been defined countless times, studied in a variety of ways and represented using numerous measures. Understanding…

Artificial Intelligence · Computer Science 2025-08-28 Michael E. Hochberg

The human brain is the substrate for human intelligence. By simulating the human brain, artificial intelligence builds computational models that have learning capabilities and perform intelligent tasks approaching the human level. Deep…

Neurons and Cognition · Quantitative Biology 2024-02-20 Barco Jie You

Learning disentangled representations of concepts and re-composing them in unseen ways is crucial for generalizing to out-of-domain situations. However, the underlying properties of concepts that enable such disentanglement and…

Machine Learning · Computer Science 2024-11-13 Jack Brady , Julius von Kügelgen , Sébastien Lachapelle , Simon Buchholz , Thomas Kipf , Wieland Brendel

The phenomenal success of physics in explaining nature and designing hardware is predicated on efficient computational models. A universal codebook of physical laws defines the computational rules and a physical system is an interacting…

Emerging Technologies · Computer Science 2021-09-14 Bahram Jalali , Achuta Kadambi , Vwani Roychowdhury

The integration of geometric reconstruction and generative modeling remains a critical challenge in developing AI systems capable of human-like spatial reasoning. This paper proposes Aether, a unified framework that enables geometry-aware…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Aether Team , Haoyi Zhu , Yifan Wang , Jianjun Zhou , Wenzheng Chang , Yang Zhou , Zizun Li , Junyi Chen , Chunhua Shen , Jiangmiao Pang , Tong He

The rapid advancement of embodied intelligence and world models has intensified efforts to integrate physical laws into AI systems, yet physical perception and symbolic physics reasoning have developed along separate trajectories without a…

Data analysis and data mining are concerned with unsupervised pattern finding and structure determination in data sets. The data sets themselves are explicitly linked as a form of representation to an observational or otherwise empirical…

Machine Learning · Statistics 2011-01-11 Fionn Murtagh

To engineer AGI, we should first capture the essence of intelligence in a species-agnostic form that can be evaluated, while being sufficiently general to encompass diverse paradigms of intelligent behavior, including reinforcement…

Artificial Intelligence · Computer Science 2025-08-15 Kei-Sing Ng

Artificial intelligence is often measured by the range of tasks it can perform. Yet wide ability without depth remains only an imitation. This paper proposes a Structural-Generative Ontology of Intelligence: true intelligence exists only…

Artificial Intelligence · Computer Science 2025-09-03 Maijunxian Wang , Ran Ji

Recent progress in artificial intelligence (AI) has renewed interest in building systems that learn and think like people. Many advances have come from using deep neural networks trained end-to-end in tasks such as object recognition, video…

Artificial Intelligence · Computer Science 2016-11-03 Brenden M. Lake , Tomer D. Ullman , Joshua B. Tenenbaum , Samuel J. Gershman

AI Impact Assessments are only as good as the measures used to assess the impact of these systems. It is therefore paramount that we can justify our choice of metrics in these assessments, especially for difficult to quantify ethical and…

Computers and Society · Computer Science 2025-04-08 Stefan Buijsman , Herman Veluwenkamp

Statistics and Optimization are foundational to modern Machine Learning. Here, we propose an alternative foundation based on Abstract Algebra, with mathematics that facilitates the analysis of learning. In this approach, the goal of the…

Machine Learning · Computer Science 2025-02-28 Fernando Martin-Maroto , Nabil Abderrahaman , David Mendez , Gonzalo G. de Polavieja

Agent based systems are more common than we may think. A Promise Theory perspective on cooperation, in systems of human-machine agents, offers a unified perspective on organization and functional design with semi-automated efforts, in terms…

Artificial Intelligence · Computer Science 2026-04-14 M. Burgess
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