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Equivariance is a powerful prior for learning physical dynamics, yet exact group equivariance can degrade performance if the symmetries are broken. We propose object-centric world models built with geometric algebra neural networks,…

Machine Learning · Computer Science 2025-12-18 Hampus Linander , Conor Heins , Alexander Tschantz , Marco Perin , Christopher Buckley

Machine unlearning, as a post-hoc processing technique, has gained widespread adoption in addressing challenges like bias mitigation and robustness enhancement, colloquially, machine unlearning for fairness and robustness. However, existing…

Machine Learning · Computer Science 2025-05-27 Xinbao Qiao , Ningning Ding , Yushi Cheng , Meng Zhang

Deep networks for computer vision are not reliable when they encounter adversarial examples. In this paper, we introduce a framework that uses the dense intrinsic constraints in natural images to robustify inference. By introducing…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Chengzhi Mao , Lingyu Zhang , Abhishek Joshi , Junfeng Yang , Hao Wang , Carl Vondrick

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

Equivariance guarantees that a model's predictions capture key symmetries in data. When an image is translated or rotated, an equivariant model's representation of that image will translate or rotate accordingly. The success of…

Machine Learning · Computer Science 2024-06-19 Nate Gruver , Marc Finzi , Micah Goldblum , Andrew Gordon Wilson

Machine learning models trained on real-world data may inadvertently make biased predictions that negatively impact marginalized communities. Reweighting, which assigns a weight to each data point used during model training, can mitigate…

Machine Learning · Computer Science 2026-03-20 Anil K. Saini , Jose Guadalupe Hernandez , Emily F. Wong , Debanshi Misra , Tiffani J. Bright , Jason H. Moore

Incorporating symmetry as an inductive bias into neural network architecture has led to improvements in generalization, data efficiency, and physical consistency in dynamics modeling. Methods such as CNNs or equivariant neural networks use…

Machine Learning · Computer Science 2022-06-17 Rui Wang , Robin Walters , Rose Yu

Equivariant networks are specifically designed to ensure consistent behavior with respect to a set of input transformations, leading to higher sample efficiency and more accurate and robust predictions. However, redesigning each component…

Machine Learning · Computer Science 2023-10-31 Arnab Kumar Mondal , Siba Smarak Panigrahi , Sékou-Oumar Kaba , Sai Rajeswar , Siamak Ravanbakhsh

How can prior knowledge on the transformation invariances of a domain be incorporated into the architecture of a neural network? We propose Equivariant Transformers (ETs), a family of differentiable image-to-image mappings that improve the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Kai Sheng Tai , Peter Bailis , Gregory Valiant

Image restoration is an inherently ill posed inverse problem. Equivariant networks that embed geometric symmetry priors can mitigate this ill posedness and improve performance. However, current understanding of the relationship between…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Feiyu Tan , Qi Xie , Zongben Xu , Deyu Meng

In self-supervised learning, a model is trained to solve a pretext task, using a data set whose annotations are created by a machine. The objective is to transfer the trained weights to perform a downstream task in the target domain. We…

Machine Learning · Computer Science 2021-10-22 Prathamesh Sonawane , Sparsh Drolia , Saqib Shamsi , Bhargav Jain

We introduce equi-tuning, a novel fine-tuning method that transforms (potentially non-equivariant) pretrained models into group equivariant models while incurring minimum $L_2$ loss between the feature representations of the pretrained and…

Equivariant neural networks have been widely used in a variety of applications due to their ability to generalize well in tasks where the underlying data symmetries are known. Despite their successes, such networks can be difficult to…

Machine Learning · Computer Science 2025-01-06 Stefanos Pertigkiozoglou , Evangelos Chatzipantazis , Shubhendu Trivedi , Kostas Daniilidis

In many computer vision tasks, for example saliency prediction or semantic segmentation, the desired output is a foreground map that predicts pixels where some criteria is satisfied. Despite the inherently spatial nature of this task…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Nicholas Kolkin , Gregory Shakhnarovich , Eli Shechtman

Convolutions encode equivariance symmetries into neural networks leading to better generalisation performance. However, symmetries provide fixed hard constraints on the functions a network can represent, need to be specified in advance, and…

Machine Learning · Computer Science 2023-10-11 Tycho F. A. van der Ouderaa , Alexander Immer , Mark van der Wilk

Steerable convolutional neural networks (SCNNs) enhance task performance by modelling geometric symmetries through equivariance constraints on weights. Yet, unknown or varying symmetries can lead to overconstrained weights and decreased…

Machine Learning · Computer Science 2025-05-09 Lars Veefkind , Gabriele Cesa

Metanetworks are neural architectures designed to operate directly on pretrained weights to perform downstream tasks. However, the parameter space serves only as a proxy for the underlying function class, and the parameter-function mapping…

Machine Learning · Computer Science 2026-04-28 Viet-Hoang Tran , An Nguyen , Benoît Guérand , Thieu N. Vo , Tan M. Nguyen

We investigate the problem of weight uncertainty originally proposed by [Blundell et al. (2015). Weight uncertainty in neural networks. In International conference on machine learning, 1613-1622, PMLR.] in the context of neural networks…

Machine Learning · Statistics 2026-03-03 Moein Monemi , Morteza Amini , S. Mahmoud Taheri , Mohammad Arashi

Recent studies have shown that Machine Learning (ML) models can exhibit bias in real-world scenarios, posing significant challenges in ethically sensitive domains such as healthcare. Such bias can negatively affect model fairness, model…

Machine Learning · Computer Science 2025-09-05 Junyu Yan , Feng Chen , Yuyang Xue , Yuning Du , Konstantinos Vilouras , Sotirios A. Tsaftaris , Steven McDonagh

Uncertainty quantification is a key pillar of trustworthy machine learning. It enables safe reactions under unsafe inputs, like predicting only when the machine learning model detects sufficient evidence, discarding anomalous data, or…

Machine Learning · Computer Science 2024-08-27 Michael Kirchhof
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