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Despite the importance of image representations such as histograms of oriented gradients and deep Convolutional Neural Networks (CNN), our theoretical understanding of them remains limited. Aiming at filling this gap, we investigate three…

Computer Vision and Pattern Recognition · Computer Science 2015-06-23 Karel Lenc , Andrea Vedaldi

Computer vision research has long aimed to build systems that are robust to spatial transformations found in natural data. Traditionally, this is done using data augmentation or hard-coding invariances into the architecture. However, too…

Computer Vision and Pattern Recognition · Computer Science 2024-02-19 Utkarsh Singhal , Carlos Esteves , Ameesh Makadia , Stella X. Yu

Learning models that can handle distribution shifts is a key challenge in domain generalization. Invariance learning, an approach that focuses on identifying features invariant across environments, improves model generalization by capturing…

Machine Learning · Statistics 2026-05-11 Yiran Jia , Jelena Bradic

The data-driven approach to robot control has been gathering pace rapidly, yet generalization to unseen task domains remains a critical challenge. We argue that the key to generalization is representations that are (i) rich enough to…

Robotics · Computer Science 2023-12-05 Bo Ai , Zhanxin Wu , David Hsu

Reasoning from diverse observations is a fundamental capability for generalist robot policies to operate in a wide range of environments. Despite recent advancements, many large-scale robotic policies still remain sensitive to key sources…

Robotics · Computer Science 2025-12-08 Jonathan Yang , Chelsea Finn , Dorsa Sadigh

To perform well on unseen and potentially out-of-distribution samples, it is desirable for machine learning models to have a predictable response with respect to transformations affecting the factors of variation of the input. Here, we…

Computer Vision and Pattern Recognition · Computer Science 2021-11-17 Diane Bouchacourt , Mark Ibrahim , Ari S. Morcos

Classical wisdom in machine learning holds that the generalization error can be decomposed into bias and variance, and these two terms exhibit a \emph{trade-off}. However, in this paper, we show that for an ensemble of deep learning based…

Machine Learning · Computer Science 2023-10-16 Lin Chen , Michal Lukasik , Wittawat Jitkrittum , Chong You , Sanjiv Kumar

Invariances in neural networks are useful and necessary for many tasks. However, the representation of the invariance of most neural network models has not been characterized. We propose measures to quantify the invariance of neural…

Machine Learning · Computer Science 2023-10-27 Facundo Manuel Quiroga , Jordina Torrents-Barrena , Laura Cristina Lanzarini , Domenec Puig-Valls

It is commonly agreed that the use of relevant invariances as a good statistical bias is important in machine-learning. However, most approaches that explicitly incorporate invariances into a model architecture only make use of very simple…

Machine Learning · Computer Science 2017-11-01 Yannic Kilcher , Gary Becigneul , Thomas Hofmann

A crucial aspect in reliable machine learning is to design a deployable system in generalizing new related but unobserved environments. Domain generalization aims to alleviate such a prediction gap between the observed and unseen…

Machine Learning · Computer Science 2021-06-01 Changjian Shui , Boyu Wang , Christian Gagné

The robust generalization of models to rare, in-distribution (ID) samples drawn from the long tail of the training distribution and to out-of-training-distribution (OOD) samples is one of the major challenges of current deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Paul Gavrikov , Janis Keuper

Many real world data analysis problems exhibit invariant structure, and models that take advantage of this structure have shown impressive empirical performance, particularly in deep learning. While the literature contains a variety of…

Machine Learning · Computer Science 2020-05-04 Clare Lyle , Mark van der Wilk , Marta Kwiatkowska , Yarin Gal , Benjamin Bloem-Reddy

Equivariant and invariant machine learning models exploit symmetries and structural patterns in data to improve sample efficiency. While empirical studies suggest that data-driven methods such as regularization and data augmentation can…

Machine Learning · Statistics 2025-06-17 Hao Duan , Guido Montúfar

The performance of machine learning models is determined by the quality of their learned features. They should be invariant under irrelevant data variation but sensitive to task-relevant details. To visualize whether this is the case, we…

Machine Learning · Computer Science 2026-03-24 Armand Rousselot , Joran Wendebourg , Ullrich Köthe

In this position paper, we consider the state of computer vision research with respect to invariance to the horizontal orientation of an image -- what we term reflection invariance. We describe why we consider reflection invariance to be an…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Craig Henderson , Ebroul Izquierdo

Most modern probabilistic generative models, such as the variational autoencoder (VAE), have certain indeterminacies that are unresolvable even with an infinite amount of data. Different tasks tolerate different indeterminacies, however…

Machine Learning · Statistics 2023-03-06 Quanhan Xi , Benjamin Bloem-Reddy

Uncertainty quantification is vital for decision-making and risk assessment in machine learning. Mean-variance regression models, which predict both a mean and residual noise for each data point, provide a simple approach to uncertainty…

Machine Learning · Statistics 2025-12-01 Eliot Wong-Toi , Alex Boyd , Vincent Fortuin , Stephan Mandt

Traditional machine learning relies on explicit models and domain assumptions, limiting flexibility and interpretability. We introduce a model-free framework using surprisal (information theoretic uncertainty) to directly analyze and…

Generalization in generative modeling is defined as the ability to learn an underlying distribution from a finite dataset and produce novel samples, with evaluation largely driven by held-out performance and perceived sample quality. In…

Machine Learning · Computer Science 2026-03-05 Jerome Garnier-Brun , Luca Biggio , Davide Beltrame , Marc Mézard , Luca Saglietti

Many learning algorithms have invariances: when their training data is transformed in certain ways, the function they learn transforms in a predictable manner. Here we formalize this notion using concepts from the mathematical field of…

Machine Learning · Computer Science 2019-05-07 Kenneth D. Harris