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Equivariant deep learning architectures exploit symmetries in learning problems to improve the sample efficiency of neural-network-based models and their ability to generalise. However, when modelling real-world data, learning problems are…

Machine Learning · Statistics 2024-11-12 Matthew Ashman , Cristiana Diaconu , Adrian Weller , Wessel Bruinsma , Richard E. Turner

This paper develops a theory for group Lasso using a concept called strong group sparsity. Our result shows that group Lasso is superior to standard Lasso for strongly group-sparse signals. This provides a convincing theoretical…

Machine Learning · Statistics 2009-03-17 Junzhou Huang , Tong Zhang

Self-models have been a topic of great interest for decades in studies of human cognition and more recently in machine learning. Yet what benefits do self-models confer? Here we show that when artificial networks learn to predict their…

Models for learning probability distributions such as generative models and density estimators behave quite differently from models for learning functions. One example is found in the memorization phenomenon, namely the ultimate convergence…

Machine Learning · Statistics 2021-03-03 Hongkang Yang , Weinan E

Generalization capability to unseen domains is crucial for machine learning models when deploying to real-world conditions. We investigate the challenging problem of domain generalization, i.e., training a model on multi-domain source data…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Qi Dou , Daniel C. Castro , Konstantinos Kamnitsas , Ben Glocker

In classification, it is usual to observe that models trained on a given set of classes can generalize to previously unseen ones, suggesting the ability to learn beyond the initial task. This ability is often leveraged in the context of…

Machine Learning · Computer Science 2024-03-07 Raphael Baena , Lucas Drumetz , Vincent Gripon

We study goal-conditioned RL through the lens of generalization, but not in the traditional sense of random augmentations and domain randomization. Rather, we aim to learn goal-directed policies that generalize with respect to the horizon:…

Machine Learning · Computer Science 2025-01-29 Vivek Myers , Catherine Ji , Benjamin Eysenbach

Domain generalization aims at training machine learning models to perform robustly across different and unseen domains. Several recent methods use multiple datasets to train models to extract domain-invariant features, hoping to generalize…

Machine Learning · Computer Science 2021-05-19 Mattia Segu , Alessio Tonioni , Federico Tombari

In this paper we show how Group Equivariant Convolutional Neural Networks use subsampling to learn to break equivariance to their symmetries. We focus on 2D rotations and reflections and investigate the impact of broken equivariance on…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Tom Edixhoven , Attila Lengyel , Jan van Gemert

Equivariant diffusion policies (EDPs) combine the generative expressivity of diffusion models with the strong generalization and sample efficiency afforded by geometric symmetries. While steering these policies with reinforcement learning…

Machine Learning · Computer Science 2025-12-15 Minwoo Park , Junwoo Chang , Jongeun Choi , Roberto Horowitz

While the traditional formulation of machine learning tasks is in terms of performance on average, in practice we are often interested in how well a trained model performs on rare or difficult data points at test time. To achieve more…

Machine Learning · Computer Science 2025-12-29 Matthew J. Holland , Toma Hamada

We propose and analyze a regularization approach for structured prediction problems. We characterize a large class of loss functions that allows to naturally embed structured outputs in a linear space. We exploit this fact to design…

Machine Learning · Computer Science 2017-07-31 Carlo Ciliberto , Alessandro Rudi , Lorenzo Rosasco

Out-of-distribution generalization capabilities of sequence-to-sequence models can be studied from the lens of two crucial forms of generalization: length generalization -- the ability to generalize to longer sequences than ones seen during…

Machine Learning · Computer Science 2025-05-29 Kartik Ahuja , Amin Mansouri

We introduce equivariant tree models in algebraic statistics, which unify and generalise existing tree models such as the general Markov model, the strand symmetric model, and group based models. We focus on the ideals of such models. We…

Algebraic Geometry · Mathematics 2017-10-10 Jan Draisma , Jochen Kuttler

This work introduces Bilinear Classes, a new structural framework, which permit generalization in reinforcement learning in a wide variety of settings through the use of function approximation. The framework incorporates nearly all existing…

Machine Learning · Computer Science 2021-07-13 Simon S. Du , Sham M. Kakade , Jason D. Lee , Shachar Lovett , Gaurav Mahajan , Wen Sun , Ruosong Wang

We introduce Domain-specific Masks for Generalization, a model for improving both in-domain and out-of-domain generalization performance. For domain generalization, the goal is to learn from a set of source domains to produce a single model…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Prithvijit Chattopadhyay , Yogesh Balaji , Judy Hoffman

We ask: Can focusing on likely classes of a single, in-domain sample improve model predictions? Prior work argued ``no''. We put forward a novel rationale in favor of ``yes'': Sharedness of features among classes indicates their reliability…

Machine Learning · Computer Science 2025-12-23 Johannes Schneider

In this paper, it is shown that a simple formulation of Economic Model Predictive Control can be used which possesses two features that are generally viewed as mutually exclusive, namely, a rather short prediction horizon…

Systems and Control · Electrical Eng. & Systems 2020-11-23 Mazen Alamir , Gabriele Pannochia

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

Every action of a finite group scheme $G$ on a variety admits a projective equivariant model, but not necessarily a normal one. As a remedy, we introduce and explore the notion of $G$-normalization. In particular, every curve equipped with…

Algebraic Geometry · Mathematics 2024-05-21 Michel Brion
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