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Weight sharing, equivariance, and local filters, as in convolutional neural networks, are believed to contribute to the sample efficiency of neural networks. However, it is not clear how each one of these design choices contributes to the…

机器学习 · 计算机科学 2025-01-27 Arash Behboodi , Gabriele Cesa

Recently, remarkable progress has been made by approximating Nash equilibrium (NE), correlated equilibrium (CE), and coarse correlated equilibrium (CCE) through function approximation that trains a neural network to predict equilibria from…

计算机科学与博弈论 · 计算机科学 2023-04-28 Zhijian Duan , Yunxuan Ma , Xiaotie Deng

Neural networks that are equivariant to rotations, translations, reflections, and permutations on n-dimensional geometric space have shown promise in physical modeling for tasks such as accurately but inexpensively modeling complex…

机器学习 · 计算机科学 2023-01-25 Yuanqing Wang , John D. Chodera

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…

A striking geometric disparity has long persisted in the practice of deep learning. While modern neural network architectures naturally exhibit rich symmetry and equivariance properties, popular optimizers such as Adam and its variants…

最优化与控制 · 数学 2026-05-27 Tim Tsz-Kit Lau , Weijie Su

Recent improvements in generative adversarial visual synthesis incorporate real and fake image transformation in a self-supervised setting, leading to increased stability and perceptual fidelity. However, these approaches typically involve…

计算机视觉与模式识别 · 计算机科学 2021-04-01 Neel Dey , Antong Chen , Soheil Ghafurian

The Matrix-Element Method (MEM) has long been a cornerstone of data analysis in high-energy physics. It leverages theoretical knowledge of parton-level processes and symmetries to evaluate the likelihood of observed events. In parallel, the…

高能物理 - 唯象学 · 物理学 2024-10-25 Daniel Maître , Vishal S. Ngairangbam , Michael Spannowsky

Neural architecture search (NAS) has recently been addressed from various directions, including discrete, sampling-based methods and efficient differentiable approaches. While the former are notoriously expensive, the latter suffer from…

机器学习 · 计算机科学 2021-05-13 Jovita Lukasik , David Friede , Arber Zela , Frank Hutter , Margret Keuper

Many applications require the robustness, or ideally the invariance, of a neural network to certain transformations of input data. Most commonly, this requirement is addressed by either augmenting the training data, using adversarial…

计算机视觉与模式识别 · 计算机科学 2021-06-21 Kanchana Vaishnavi Gandikota , Jonas Geiping , Zorah Lähner , Adam Czapliński , Michael Moeller

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…

计算机视觉与模式识别 · 计算机科学 2019-05-28 Kai Sheng Tai , Peter Bailis , Gregory Valiant

Recent works show that group equivariance as an inductive bias improves neural network performance for both classification and generation. However, designing group-equivariant neural networks is challenging when the group of interest is…

机器学习 · 计算机科学 2021-06-09 Sourya Basu , Akshayaa Magesh , Harshit Yadav , Lav R. Varshney

There has been much recent interest in designing neural networks (NNs) with relaxed equivariance, which interpolate between exact equivariance and full flexibility for consistent performance gains. In a separate line of work, structured…

机器学习 · 统计学 2025-04-21 Ashwin Samudre , Mircea Petrache , Brian D. Nord , Shubhendu Trivedi

Neural Architecture Search (NAS) was first proposed to achieve state-of-the-art performance through the discovery of new architecture patterns, without human intervention. An over-reliance on expert knowledge in the search space design has…

机器学习 · 计算机科学 2021-01-05 Binxin Ru , Pedro Esperanca , Fabio Carlucci

Improving the performance of deep neural networks (DNNs) is important to both the compiler and neural architecture search (NAS) communities. Compilers apply program transformations in order to exploit hardware parallelism and memory…

机器学习 · 计算机科学 2021-02-15 Jack Turner , Elliot J. Crowley , Michael O'Boyle

Classic algorithms and machine learning systems like neural networks are both abundant in everyday life. While classic computer science algorithms are suitable for precise execution of exactly defined tasks such as finding the shortest path…

机器学习 · 计算机科学 2022-09-02 Felix Petersen

In Reinforcement Learning (RL), Convolutional Neural Networks(CNNs) have been successfully applied as function approximators in Deep Q-Learning algorithms, which seek to learn action-value functions and policies in various environments.…

机器学习 · 计算机科学 2020-07-08 Arnab Kumar Mondal , Pratheeksha Nair , Kaleem Siddiqi

We explore the role of group symmetries in binary classification tasks, presenting a novel framework that leverages the principles of Neyman-Pearson optimality. Contrary to the common intuition that larger symmetry groups lead to improved…

机器学习 · 计算机科学 2024-08-19 Vishal S. Ngairangbam , Michael Spannowsky

Neural Architecture Search (NAS) has emerged as one of the effective methods to design the optimal neural network architecture automatically. Although neural architectures have achieved human-level performances in several tasks, few of them…

计算机视觉与模式识别 · 计算机科学 2025-02-18 Caiyang Yu , Xianggen Liu , Yifan Wang , Yun Liu , Wentao Feng , Deng Xiong , Chenwei Tang , Jiancheng Lv

Graph neural networks (GNN) has been successfully applied to operate on the graph-structured data. Given a specific scenario, rich human expertise and tremendous laborious trials are usually required to identify a suitable GNN architecture.…

机器学习 · 计算机科学 2019-09-11 Kaixiong Zhou , Qingquan Song , Xiao Huang , Xia Hu

In many real-world applications of regression, conditional probability estimation, and uncertainty quantification, exploiting symmetries rooted in physics or geometry can dramatically improve generalization and sample efficiency. While…