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Incorporating geometric invariance into neural networks enhances parameter efficiency but typically increases computational costs. This paper introduces new equivariant neural networks that preserve symmetry while maintaining a comparable…

计算机视觉与模式识别 · 计算机科学 2025-06-25 Georg Bökman , David Nordström , Fredrik Kahl

Convolutional neural networks (CNN) have become a powerful tool for detecting patterns in image data. Recent papers report promising results in the domain of disease detection using brain MRI data. Despite the high accuracy obtained from…

图像与视频处理 · 电气工程与系统科学 2020-08-19 Arjun Haridas Pallath , Martin Dyrba

In recent years, quantum computing has drawn significant interest within the field of high-energy physics. We explore the potential of quantum algorithms to resolve the combinatorial problems in particle physics experiments. As a concrete…

高能物理 - 唯象学 · 物理学 2024-11-12 Jacob L. Scott , Zhongtian Dong , Taejoon Kim , Kyoungchul Kong , Myeonghun Park

This work presents Neural Equivariant Interatomic Potentials (NequIP), an E(3)-equivariant neural network approach for learning interatomic potentials from ab-initio calculations for molecular dynamics simulations. While most contemporary…

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

Capsule Networks attempt to represent patterns in images in a way that preserves hierarchical spatial relationships. Additionally, research has demonstrated that these techniques may be robust against adversarial perturbations. We present…

机器学习 · 统计学 2019-06-10 Taylor Killian , Justin Goodwin , Olivia Brown , Sung-Hyun Son

The field of machine have seen rising applications of equivariance criterion. However, there is no systematic way to justify its usage, including why it works, whether there is an optimal solution and if so, what form it carries. In this…

统计理论 · 数学 2025-09-23 Daowei Wang , Mian Wu , Haojin Zhou

Equivariance encodes known symmetries into neural networks, often enhancing generalization. However, equivariant networks cannot break symmetries: the output of an equivariant network must, by definition, have at least the same…

机器学习 · 计算机科学 2025-03-31 Hannah Lawrence , Vasco Portilheiro , Yan Zhang , Sékou-Oumar Kaba

Precision phenomenological studies of high-multiplicity scattering processes at collider experiments present a substantial theoretical challenge and are vitally important ingredients in experimental measurements. Machine learning technology…

高能物理 - 唯象学 · 物理学 2023-02-20 Ryan Moodie

In high-energy particle collisions, the primary collision products usually decay further resulting in tree-like, hierarchical structures with a priori unknown multiplicity. At the stable-particle level all decay products of a collision form…

高能物理 - 唯象学 · 物理学 2024-07-15 Emanuel Pfeffer , Michael Waßmer , Yee-Ying Cung , Roger Wolf , Ulrich Husemann

Equivariant networks have been adopted in many 3-D learning areas. Here we identify a fundamental limitation of these networks: their ambiguity to symmetries. Equivariant networks cannot complete symmetry-dependent tasks like segmenting a…

计算机视觉与模式识别 · 计算机科学 2022-11-01 Sidhika Balachandar , Adrien Poulenard , Congyue Deng , Leonidas Guibas

Despite their widespread success in various domains, Transformer networks have yet to perform well across datasets in the domain of 3D atomistic graphs such as molecules even when 3D-related inductive biases like translational invariance…

机器学习 · 计算机科学 2023-03-01 Yi-Lun Liao , Tess Smidt

Recent progress in computer vision-oriented neural network designs is mostly driven by capturing high-order neural interactions among inputs and features. And there emerged a variety of approaches to accomplish this, such as Transformers…

机器学习 · 计算机科学 2023-12-01 Chenhui Xu , Fuxun Yu , Zirui Xu , Chenchen Liu , Jinjun Xiong , Xiang Chen

Data-sparse settings such as robotic manipulation, molecular physics, and galaxy morphology classification are some of the hardest domains for deep learning. For these problems, equivariant networks can help improve modeling across…

机器学习 · 计算机科学 2026-01-30 Edward Berman , Jacob Ginesin , Marco Pacini , Robin Walters

Recent advances in deep learning and Transformers have driven major breakthroughs in robotics by employing techniques such as imitation learning, reinforcement learning, and LLM-based multimodal perception and decision-making. However,…

Mobile and embedded applications require neural networks-based pattern recognition systems to perform well under a tight computational budget. In contrast to commonly used synchronous, frame-based vision systems and CNNs, asynchronous,…

神经与进化计算 · 计算机科学 2019-06-24 Bodo Rückauer , Nicolas Känzig , Shih-Chii Liu , Tobi Delbruck , Yulia Sandamirskaya

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…

The success of Convolutional Neural Networks (CNNs) in image classification has prompted efforts to study their use for classifying image data obtained in Particle Physics experiments. Here, we discuss our efforts to apply CNNs to 2D and 3D…

高能物理 - 实验 · 物理学 2020-12-08 Venkitesh Ayyar , Wahid Bhimji , Lisa Gerhardt , Sally Robertson , Zahra Ronaghi

Representing and reasoning about 3D structures of macromolecules is emerging as a distinct challenge in machine learning. Here, we extend recent work on geometric vector perceptrons and apply equivariant graph neural networks to a wide…

机器学习 · 计算机科学 2021-07-14 Bowen Jing , Stephan Eismann , Pratham N. Soni , Ron O. Dror

In many computer vision tasks, we expect a particular behavior of the output with respect to rotations of the input image. If this relationship is explicitly encoded, instead of treated as any other variation, the complexity of the problem…

计算机视觉与模式识别 · 计算机科学 2018-07-06 Diego Marcos , Michele Volpi , Nikos Komodakis , Devis Tuia