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Exploiting symmetries and invariance in data is a powerful, yet not fully exploited, way to achieve better generalisation with more efficiency. In this paper, we introduce two graph network architectures that are equivariant to several…

Machine Learning · Computer Science 2021-06-01 Francesco Farina , Emma Slade

Recently, world models have been incorporated into the autonomous driving systems to improve the planning reliability. Existing approaches typically predict future states through appearance generation or deterministic regression, which…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Xiaolu Liu , Yicong Li , Song Wang , Junbo Chen , Angela Yao , Jianke Zhu

It is known that invariance and equivariance properties for systems on Lie groups can be exploited in the design of high performance and robust observers and filters for real-world robotic systems. This paper proposes an analysis framework…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Robert Mahony , Jochen Trumpf

This paper describes our research on AI agents embodied in visual, virtual or physical forms, enabling them to interact with both users and their environments. These agents, which include virtual avatars, wearable devices, and robots, are…

We introduce a novel architecture for graph networks which is equivariant to any transformation in the coordinate embeddings that preserves the distance between neighbouring nodes. In particular, it is equivariant to the Euclidean and…

Machine Learning · Computer Science 2021-07-13 Francesco Farina , Emma Slade

World modelling, i.e. building a representation of the rules that govern the world so as to predict its evolution, is an essential ability for any agent interacting with the physical world. Recent applications of the Transformer…

Machine Learning · Computer Science 2024-05-31 Francesco Petri , Luigi Asprino , Aldo Gangemi

Equivariances provide useful inductive biases in neural network modeling, with the translation equivariance of convolutional neural networks being a canonical example. Equivariances can be embedded in architectures through weight-sharing…

Machine Learning · Computer Science 2022-11-15 Tycho F. A. van der Ouderaa , David W. Romero , Mark van der Wilk

Molecular 3D conformations play a key role in determining how molecules interact with other molecules or protein surfaces. Recent deep learning advancements have improved conformation prediction, but slow training speeds and difficulties in…

Machine Learning · Computer Science 2024-12-17 Qingwen Tian , Yuxin Xu , Yixuan Yang , Zhen Wang , Ziqi Liu , Pengju Yan , Xiaolin Li

Learning with neural networks from a continuous stream of visual information presents several challenges due to the non-i.i.d. nature of the data. However, it also offers novel opportunities to develop representations that are consistent…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Simone Marullo , Matteo Tiezzi , Marco Gori , Stefano Melacci

Modern ML methods excel when training data is IID, large-scale, and well labeled. Learning in less ideal conditions remains an open challenge. The sub-fields of few-shot, continual, transfer, and representation learning have made…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Matthew Wallingford , Aditya Kusupati , Keivan Alizadeh-Vahid , Aaron Walsman , Aniruddha Kembhavi , Ali Farhadi

Given datasets from multiple domains, a key challenge is to efficiently exploit these data sources for modeling a target domain. Variants of this problem have been studied in many contexts, such as cross-domain translation and domain…

Machine Learning · Computer Science 2019-12-24 Aditya Grover , Christopher Chute , Rui Shu , Zhangjie Cao , Stefano Ermon

Spatial reasoning in partially observable environments has often been approached through passive predictive models, yet theories of embodied cognition suggest that genuinely useful representations arise only when perception is tightly…

Artificial Intelligence · Computer Science 2025-04-29 Li Jin , Liu Jia

Spatial understanding is a critical aspect of most robotic tasks, particularly when generalization is important. Despite the impressive results of deep generative models in complex manipulation tasks, the absence of a representation that…

Robotics · Computer Science 2024-09-10 Niklas Funk , Julen Urain , Joao Carvalho , Vignesh Prasad , Georgia Chalvatzaki , Jan Peters

We contribute to the vastly growing field of machine learning for engineering systems by demonstrating that equivariant graph neural networks have the potential to learn more accurate dynamic-interaction models than their non-equivariant…

Machine Learning · Computer Science 2023-05-26 Artur P. Toshev , Gianluca Galletti , Johannes Brandstetter , Stefan Adami , Nikolaus A. Adams

World models enable agents to plan by imagining future states, but existing approaches operate from a single viewpoint, typically egocentric, even when other perspectives would make planning easier; navigation, for instance, benefits from a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Rishabh Sharma , Gijs Hogervorst , Wayne E. Mackey , David J. Heeger , Stefano Martiniani

Self-supervised visual representation methods are closing the gap with supervised learning performance. These methods rely on maximizing the similarity between embeddings of related synthetic inputs created through data augmentations. This…

Machine Learning · Computer Science 2023-06-09 Alexandre Devillers , Mathieu Lefort

Foundation models have demonstrated remarkable performance across modalities such as language and vision. However, model reuse across distinct modalities (e.g., text and vision) remains limited due to the difficulty of aligning internal…

Machine Learning · Computer Science 2025-05-20 Ali Gholamzadeh , Noor Sajid

Learning to predict agent motions with relationship reasoning is important for many applications. In motion prediction tasks, maintaining motion equivariance under Euclidean geometric transformations and invariance of agent interaction is a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Chenxin Xu , Robby T. Tan , Yuhong Tan , Siheng Chen , Yu Guang Wang , Xinchao Wang , Yanfeng Wang

Many successful deep learning architectures are equivariant to certain transformations in order to conserve parameters and improve generalization: most famously, convolution layers are equivariant to shifts of the input. This approach only…

Machine Learning · Computer Science 2021-03-31 Allan Zhou , Tom Knowles , Chelsea Finn

Equivariance is a nice property to have as it produces much more parameter efficient neural architectures and preserves the structure of the input through the feature mapping. Even though some combinations of transformations might never…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 David W. Romero , Mark Hoogendoorn