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An antithetical concept, adaptive symmetry, to conservative symmetry in physics is proposed to understand the deep neural networks (DNNs). It characterizes the invariance of variance, where a biotic system explores different pathways of…

机器学习 · 计算机科学 2022-01-21 Shawn W. M. Li

The goal of anomaly detection is to identify examples that deviate from normal or expected behavior. We tackle this problem for images. We consider a two-phase approach. First, using normal examples, a convolutional autoencoder (CAE) is…

计算机视觉与模式识别 · 计算机科学 2020-03-20 Natasa Sarafijanovic-Djukic , Jesse Davis

Modeling symmetry breaking is essential for understanding the fundamental changes in the behaviors and properties of physical systems, from microscopic particle interactions to macroscopic phenomena like fluid dynamics and cosmic…

机器学习 · 计算机科学 2025-07-11 Rui Wang , Elyssa Hofgard , Han Gao , Robin Walters , Tess E. Smidt

Anomaly detection is a prominent data preprocessing step in learning applications for correction and/or removal of faulty data. Automating this data type with the use of autoencoders could increase the quality of the dataset by isolating…

机器学习 · 计算机科学 2020-04-10 Benjamin Smith , Kevin Cant , Gloria Wang

We show that the spontaneous symmetry breaking can be defined also for finite systems based on the properly defined jump probability between the ground states in the 2d and 3d Ising models on a square and a cubic lattice respectively. Our…

统计力学 · 物理学 2021-06-25 Fotis K. Diakonos , Yiannis F. Contoyiannis , Stelios M. Potirakis

In this letter, we apply the artificial neural network in a supervised manner to map out the quantum phase diagram of disordered topological superconductor in class DIII. Given the disorder that keeps the discrete symmetries of the ensemble…

无序系统与神经网络 · 物理学 2018-05-16 Nobuyuki Yoshioka , Yutaka Akagi , Hosho Katsura

Graph neural networks (GNNs) have shown promise in learning the ground-state electronic properties of materials, subverting ab initio density functional theory (DFT) calculations when the underlying lattices can be represented as small…

Equivariant network architectures are a well-established tool for predicting invariant or equivariant quantities. However, almost all learning problems considered in this context feature a global symmetry, i.e. each point of the underlying…

机器学习 · 计算机科学 2025-02-24 Longde Huang , Oleksandr Balabanov , Hampus Linander , Mats Granath , Daniel Persson , Jan E. Gerken

Equivariant neural networks require explicit knowledge of the symmetry group. Automatic symmetry discovery methods aim to relax this constraint and learn invariance and equivariance from data. However, existing symmetry discovery methods…

机器学习 · 计算机科学 2024-08-14 Jianke Yang , Nima Dehmamy , Robin Walters , Rose Yu

The Denoising Autoencoder (DAE) enhances the flexibility of the data stream method in exploiting unlabeled samples. Nonetheless, the feasibility of DAE for data stream analytic deserves an in-depth study because it characterizes a fixed…

机器学习 · 计算机科学 2020-01-10 Andri Ashfahani , Mahardhika Pratama , Edwin Lughofer , Yew Soon Ong

To protect an organizations' endpoints from sophisticated cyberattacks, advanced detection methods are required. In this research, we present GCNetOmaly: a graph convolutional network (GCN)-based variational autoencoder (VAE) anomaly…

密码学与安全 · 计算机科学 2023-12-01 Yizhak Vaisman , Gilad Katz , Yuval Elovici , Asaf Shabtai

Recognizing symmetries in data allows for significant boosts in neural network training. In many cases, however, the underlying symmetry is present only in an idealized dataset, and is broken in the training data, due to effects such as…

高能物理 - 实验 · 物理学 2023-11-13 Edmund Witkowski , Daniel Whiteson

Masked Graph Auto-Encoder, a powerful graph self-supervised training paradigm, has recently shown superior performance in graph representation learning. Existing works typically rely on node contextual information to recover the masked…

机器学习 · 计算机科学 2025-08-15 Ziyu Zheng , Yaming Yang , Ziyu Guan , Wei Zhao , Weigang Lu

Symmetry is fundamental to understanding physical systems and can improve performance and sample efficiency in machine learning. Both pursuits require knowledge of the underlying symmetries in data, yet discovering these symmetries…

We devise an autoencoder based strategy to facilitate anomaly detection for boosted jets, employing Graph Neural Networks (GNNs) to do so. To overcome known limitations of GNN autoencoders, we design a symmetric decoder capable of…

高能物理 - 唯象学 · 物理学 2021-09-01 Oliver Atkinson , Akanksha Bhardwaj , Christoph Englert , Vishal S. Ngairangbam , Michael Spannowsky

Unsupervised anomaly detection is a challenging task. Autoencoders (AEs) or generative models are often employed to model the data distribution of normal inputs and subsequently identify anomalous, out-of-distribution inputs by high…

机器学习 · 计算机科学 2025-06-12 Yalin Liao , Austin J. Brockmeier

Understanding natural symmetries is key to making sense of our complex and ever-changing world. Recent work has shown that neural networks can learn such symmetries directly from data using Hamiltonian Neural Networks (HNNs). But HNNs…

机器学习 · 计算机科学 2022-01-27 Andrew Sosanya , Sam Greydanus

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…

机器学习 · 统计学 2024-11-12 Matthew Ashman , Cristiana Diaconu , Adrian Weller , Wessel Bruinsma , Richard E. Turner

Entropy and order parameter are two key concepts in phase transition theory. This paper proposes an unified method to both find order parameter and estimate entropy automatically with unsupervised learning. The contributions of this paper…

无序系统与神经网络 · 物理学 2017-12-18 Kun Huang

Many real-world monitoring and surveillance applications require non-trivial anomaly detection to be run in the streaming model. We consider an incremental-learning approach, wherein a deep-autoencoding (DAE) model of what is normal is…

计算机视觉与模式识别 · 计算机科学 2019-12-11 Albert Akhriev , Jakub Marecek