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Equivariant neural networks provide a principled framework for incorporating symmetry into learning architectures and have been extensively analyzed through the lens of their separation power, that is, the ability to distinguish inputs…

Machine Learning · Computer Science 2026-02-04 Marco Pacini , Gabriele Santin , Bruno Lepri , Shubhendu Trivedi

Model-free deep reinforcement learning has been shown to exhibit good performance in domains ranging from video games to simulated robotic manipulation and locomotion. However, model-free methods are known to perform poorly when the…

Machine Learning · Computer Science 2018-03-20 Tuomas Haarnoja , Vitchyr Pong , Aurick Zhou , Murtaza Dalal , Pieter Abbeel , Sergey Levine

(Non-)robustness of neural networks to small, adversarial pixel-wise perturbations, and as more recently shown, to even random spatial transformations (e.g., translations, rotations) entreats both theoretical and empirical understanding.…

Machine Learning · Computer Science 2021-11-11 Sandesh Kamath , Amit Deshpande , K V Subrahmanyam , Vineeth N Balasubramanian

We introduce Equivariant Isomorphic Networks (EquIN) -- a method for learning representations that are equivariant with respect to general group actions over data. Differently from existing equivariant representation learners, EquIN is…

Machine Learning · Computer Science 2023-09-19 Luis Armando Pérez Rey , Giovanni Luca Marchetti , Danica Kragic , Dmitri Jarnikov , Mike Holenderski

Robust real-world learning should benefit from both demonstrations and interactions with the environment. Current approaches to learning from demonstration and reward perform supervised learning on expert demonstration data and use…

Artificial Intelligence · Computer Science 2019-05-31 Yang Gao , Huazhe Xu , Ji Lin , Fisher Yu , Sergey Levine , Trevor Darrell

We present a novel negotiation model that allows an agent to learn how to negotiate during concurrent bilateral negotiations in unknown and dynamic e-markets. The agent uses an actor-critic architecture with model-free reinforcement…

Multiagent Systems · Computer Science 2020-02-04 Pallavi Bagga , Nicola Paoletti , Bedour Alrayes , Kostas Stathis

Adversarial examples reveal critical vulnerabilities in deep neural networks by exploiting their sensitivity to imperceptible input perturbations. While adversarial training remains the predominant defense strategy, it often incurs…

Machine Learning · Computer Science 2025-11-04 Longwei Wang , Ifrat Ikhtear Uddin , KC Santosh , Chaowei Zhang , Xiao Qin , Yang Zhou

Deep reinforcement learning techniques have demonstrated superior performance in a wide variety of environments. As improvements in training algorithms continue at a brisk pace, theoretical or empirical studies on understanding what these…

Machine Learning · Computer Science 2018-11-16 Raghuram Mandyam Annasamy , Katia Sycara

Recent developments in the field of quantum machine learning have promoted the idea of incorporating physical symmetries in the structure of quantum circuits. A crucial milestone in this area is the realization of $S_{n}$-permutation…

Quantum Physics · Physics 2024-08-20 Zhelun Li , Lento Nagano , Koji Terashi

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

Traditional supervised learning aims to learn an unknown mapping by fitting a function to a set of input-output pairs with a fixed dimension. The fitted function is then defined on inputs of the same dimension. However, in many settings,…

Machine Learning · Computer Science 2024-05-01 Eitan Levin , Mateo Díaz

Reinforcement learning (RL) algorithms have made huge progress in recent years by leveraging the power of deep neural networks (DNN). Despite the success, deep RL algorithms are known to be sample inefficient, often requiring many rounds of…

Machine Learning · Computer Science 2018-05-22 Zichuan Lin , Tianqi Zhao , Guangwen Yang , Lintao Zhang

A number of machine learning tasks entail a high degree of invariance: the data distribution does not change if we act on the data with a certain group of transformations. For instance, labels of images are invariant under translations of…

Machine Learning · Statistics 2021-03-01 Song Mei , Theodor Misiakiewicz , Andrea Montanari

Recently, equivariant neural networks for policy learning have shown promising improvements in sample efficiency and generalization, however, their wide adoption faces substantial barriers due to implementation complexity. Equivariant…

Robotics · Computer Science 2025-12-22 Dian Wang , Boce Hu , Shuran Song , Robin Walters , Robert Platt

In this work we propose a new neural network architecture that efficiently implements and learns general purpose set-equivariant functions. Such a function f maps a set of entities x = {x1, . . . , xn} from one domain to a set of same…

Machine Learning · Computer Science 2019-09-23 Roland Vollgraf

Establishing correspondences between 3D shapes is a fundamental task in 3D Computer Vision, typically addressed by matching local descriptors. Recently, a few attempts at applying the deep learning paradigm to the task have shown promising…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Riccardo Spezialetti , Samuele Salti , Luigi Di Stefano

Machine learning and deep learning have revolutionized computational physics, particularly the simulation of complex systems. Equivariance is essential for simulating physical systems because it imposes a strong inductive bias on the…

Strongly Correlated Electrons · Physics 2024-11-13 Yuki Nagai , Akio Tomiya

Incorporating permutation equivariance into neural networks has proven to be useful in ensuring that models respect symmetries that exist in data. Symmetric tensors, which naturally appear in statistics, machine learning, and graph theory,…

Machine Learning · Computer Science 2025-05-26 Edward Pearce-Crump

In this paper we combine one method for hierarchical reinforcement learning - the options framework - with deep Q-networks (DQNs) through the use of different "option heads" on the policy network, and a supervisory network for choosing…

Machine Learning · Computer Science 2017-06-20 Kai Arulkumaran , Nat Dilokthanakul , Murray Shanahan , Anil Anthony Bharath

The research on deep reinforcement learning which estimates Q-value by deep learning has been attracted the interest of researchers recently. In deep reinforcement learning, it is important to efficiently learn the experiences that an agent…

Machine Learning · Computer Science 2018-06-05 Daichi Nishio , Satoshi Yamane