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Traditionally, Euclidean geometry is treated by scientists as a priori and objective. However, when we take the position of an agent, the problem of selecting a best route should also factor in the abilities of the agent, its embodiment and…

Artificial Intelligence · Computer Science 2022-11-04 Karen Archer , Nicola Catenacci Volpi , Franziska Bröker , Daniel Polani

The ability to jointly understand the geometry of objects and plan actions for manipulating them is crucial for intelligent agents. We refer to this ability as geometric planning. Recently, many interactive environments have been proposed…

Machine Learning · Computer Science 2020-07-23 Ankit Goyal , Jia Deng

The Integrated Information Theory provides a quantitative approach to consciousness and can be applied to neural networks. An embodied agent controlled by such a network influences and is being influenced by its environment. This involves,…

Neurons and Cognition · Quantitative Biology 2021-11-30 Carlotta Langer , Nihat Ay

Recent advances in visual generative models have highlighted the promise of learning generative world models. However, most existing approaches frame world modeling as novel-view synthesis or future-frame prediction, emphasizing visual…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Yifan Yin , Zehao Wen , Jieneng Chen , Zehan Zheng , Nanru Dai , Haojun Shi , Suyu Ye , Aydan Huang , Zheyuan Zhang , Alan Yuille , Jianwen Xie , Ayush Tewari , Tianmin Shu

The ability to simulate the effects of future actions on the world is a crucial ability of intelligent embodied agents, enabling agents to anticipate the effects of their actions and make plans accordingly. While a large body of existing…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Siyuan Zhou , Yilun Du , Yuncong Yang , Lei Han , Peihao Chen , Dit-Yan Yeung , Chuang Gan

A desirable property of an intelligent agent is its ability to understand its environment to quickly generalize to novel tasks and compose simpler tasks into more complex ones. If the environment has geometric or arithmetic structure, the…

Artificial Intelligence · Computer Science 2018-09-07 David Folqué , Sainbayar Sukhbaatar , Arthur Szlam , Joan Bruna

Despite its omnipresence in robotics application, the nature of spatial knowledge and the mechanisms that underlie its emergence in autonomous agents are still poorly understood. Recent theoretical works suggest that the Euclidean structure…

Machine Learning · Computer Science 2019-09-18 Alban Laflaquière , Michael Garcia Ortiz

Active sensing links behavior and learning through an action-perception loop: actions determine the observations used to update internal predictive models of perception, which subsequently guide the next actions. Predictive-coding…

Neurons and Cognition · Quantitative Biology 2026-05-28 Kseniia Shilova , Abdelrahman Sharafeldin , Advay Balakrishnan , Hannah Choi

Infants are experts at playing, with an amazing ability to generate novel structured behaviors in unstructured environments that lack clear extrinsic reward signals. We seek to replicate some of these abilities with a neural network that…

Machine Learning · Computer Science 2018-02-22 Nick Haber , Damian Mrowca , Li Fei-Fei , Daniel L. K. Yamins

People infer rich social information from others' actions. These inferences are often constrained by the physical world: what agents can do, what obstacles permit, and how the physical actions of agents causally change an environment and…

Neurons and Cognition · Quantitative Biology 2026-03-31 Lance Ying , Aydan Y. Huang , Aviv Netanyahu , Andrei Barbu , Boris Katz , Joshua B. Tenenbaum , Tianmin Shu

It has been a long-standing dream to design artificial agents that explore their environment efficiently via intrinsic motivation, similar to how children perform curious free play. Despite recent advances in intrinsically motivated…

Machine Learning · Computer Science 2022-11-29 Cansu Sancaktar , Sebastian Blaes , Georg Martius

Making sense of the world and acting in it relies on building simplified mental representations that abstract away aspects of reality. This principle of cognitive mapping is universal to agents with limited resources. Living organisms,…

Artificial Intelligence · Computer Science 2025-04-30 Marta Kryven , Cole Wyeth , Aidan Curtis , Kevin Ellis

We propose a model of a learning agent whose interaction with the environment is governed by a simulation-based projection, which allows the agent to project itself into future situations before it takes real action. Projective simulation…

Adaptation and Self-Organizing Systems · Physics 2015-03-19 Hans J. Briegel , Gemma De las Cuevas

This paper develops a geometric framework for modeling belief, motivation, and influence across cognitively heterogeneous agents. Each agent is represented by a personalized value space, a vector space encoding the internal dimensions…

Artificial Intelligence · Computer Science 2025-12-11 Chainarong Amornbunchornvej

Projective geometry provides the preferred framework for most implementations of Euclidean space in graphics applications. Translations and rotations are both linear transformations in projective geometry, which helps when it comes to…

Computational Geometry · Computer Science 2007-05-23 Chris Doran , Anthony Lasenby , Joan Lasenby

Spatial knowledge is a fundamental building block for the development of advanced perceptive and cognitive abilities. Traditionally, in robotics, the Euclidean (x,y,z) coordinate system and the agent's forward model are defined a priori. We…

Machine Learning · Computer Science 2020-10-30 Alban Laflaquière

Planning with partial observation is a central challenge in embodied AI. A majority of prior works have tackled this challenge by developing agents that physically explore their environment to update their beliefs about the world state. In…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Taiming Lu , Tianmin Shu , Alan Yuille , Daniel Khashabi , Jieneng Chen

When interacting in a three dimensional world, humans must estimate 3D structure from visual inputs projected down to two dimensional retinal images. It has been shown that humans use the persistence of object shape over motion-induced…

Neurons and Cognition · Quantitative Biology 2023-04-03 Marissa Connor , Bruno Olshausen , Christopher Rozell

Knowledge graph (KG) embeddings have shown great power in learning representations of entities and relations for link prediction tasks. Previous work usually embeds KGs into a single geometric space such as Euclidean space (zero curved),…

Machine Learning · Computer Science 2022-06-28 Zongsheng Cao , Qianqian Xu , Zhiyong Yang , Xiaochun Cao , Qingming Huang

Embodied agents operating in human spaces must be able to master how their environment works: what objects can the agent use, and how can it use them? We introduce a reinforcement learning approach for exploration for interaction, whereby…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Tushar Nagarajan , Kristen Grauman
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