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Transforming two-dimensional tensor networks into quantum circuits for supervised learning 将二维张量网络转化为用于监督学习的量子电路
Pub Date : 2024-03-04 DOI: 10.1088/2632-2153/ad2fec
Zhihui Song, Jinchen Xu, Xin Zhou, X. Ding, Zheng Shan
There have been numerous quantum neural networks reported, but they struggle to match traditional neural networks in accuracy. Given the huge improvement of the neural network models’ accuracy by two-dimensional tensor network states in classical tensor network machine learning, it is promising to explore whether its application in quantum machine learning can extend the performance boundary of the models. Here, we transform two-dimensional tensor networks into quantum circuits for supervised learning. Specifically, we encode two-dimensional tensor networks into quantum circuits through rigorous mathematical proofs for constructing model ansätze, including string-bond states, entangled-plaquette states and isometric tensor network states. In addition, we propose adaptive data encoding methods and combine with tensor networks. We construct a tensor-network-inspired quantum circuit supervised learning framework for transferring tensor network machine learning from classical to quantum, and build several novel two-dimensional tensor network-inspired quantum classifiers based on this framework. Finally, we propose a parallel quantum machine learning method for multi-class classification to construct 2D TNQC-based multi-class classifiers. Classical simulation results on the MNIST benchmark dataset show that our proposed models achieve the state-of-the-art accuracy performance, significantly outperforming other quantum classifiers on both binary and multi-class classification tasks, and beat simple convolutional classifiers on a fair track with identical inputs. The noise resilience of the models makes them successfully run and work in a real quantum computer.
目前已有大量量子神经网络的报道,但它们在精度上难以与传统神经网络相媲美。鉴于二维张量网络态在经典张量网络机器学习中极大地提高了神经网络模型的准确性,探索其在量子机器学习中的应用是否能扩展模型的性能边界是很有前景的。在此,我们将二维张量网络转化为量子电路,用于监督学习。具体来说,我们通过严格的数学证明将二维张量网络编码成量子电路,以构建模型解析,包括弦键状态、纠缠拼板状态和等距张量网络状态。此外,我们还提出了自适应数据编码方法,并与张量网络相结合。我们构建了一个张量网络启发的量子电路监督学习框架,用于将张量网络机器学习从经典转移到量子,并在此框架基础上构建了多个新型二维张量网络启发量子分类器。最后,我们提出了一种用于多类分类的并行量子机器学习方法,以构建基于二维 TNQC 的多类分类器。在 MNIST 基准数据集上的经典仿真结果表明,我们提出的模型达到了最先进的准确度性能,在二元和多类分类任务上都明显优于其他量子分类器,并在相同输入的公平轨道上击败了简单的卷积分类器。模型的抗噪能力使它们能在真正的量子计算机中成功运行和工作。
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引用次数: 0
Propagation of priors for more accurate and efficient spectroscopic functional fits and their application to ferroelectric hysteresis 更精确和有效的光谱泛函拟合的先验传播及其在铁电迟滞中的应用
Pub Date : 2021-04-26 DOI: 10.1088/2632-2153/ABFBBA
N. Creange, K. P. Kelley, C. Smith, D. Sando, O. Paull, N. Valanoor, S. Somnath, S. Jesse, S. Kalinin, R. Vasudevan
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引用次数: 2
Neural network analysis of neutron and x-ray reflectivity data: pathological cases, performance and perspectives 中子和x射线反射率数据的神经网络分析:病理病例、表现和观点
Pub Date : 2021-04-20 DOI: 10.1088/2632-2153/ABF9B1
Alessandro Greco, V. Starostin, A. Hinderhofer, A. Gerlach, M. Skoda, S. Kowarik, F. Schreiber
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引用次数: 9
Advances in scientific literature mining for interpreting materials characterization 用于材料表征解释的科学文献挖掘研究进展
Pub Date : 2021-04-13 DOI: 10.1088/2632-2153/ABF751
Gilchan Park, Line C. Pouchard
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引用次数: 1
Phases of learning dynamics in artificial neural networks in the absence or presence of mislabeled data 在没有或存在错误标记数据的情况下,人工神经网络中学习动态的阶段
Pub Date : 2021-04-07 DOI: 10.1088/2632-2153/ABF5B9
Yu Feng, Y. Tu
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引用次数: 12
MPGVAE: improved generation of small organic molecules using message passing neural nets MPGVAE:利用信息传递神经网络改进小有机分子的生成
Pub Date : 2021-04-07 DOI: 10.1088/2632-2153/ABF5B7
Daniel Flam-Shepherd, Tony C Wu, Alán Aspuru-Guzik
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引用次数: 14
COVID-19 detection from lung CT-scan images using transfer learning approach 基于迁移学习方法的肺部ct扫描图像COVID-19检测
Pub Date : 2021-03-25 DOI: 10.1088/2632-2153/ABF22C
A. Halder, B. Datta
Since the onset of 2020, the spread of coronavirus disease (COVID-19) has rapidly accelerated worldwide into a state of severe pandemic. COVID-19 has infected more than 29 million people and caused more than 900 thousand deaths at the time of writing. Since it is highly contagious, it causes explosive community transmission. Thus, health care delivery has been disrupted and compromised by the lack of testing kits. COVID-19-infected patients show severe acute respiratory syndrome. Meanwhile, the scientific community has been involved in the implementation of deep learning (DL) techniques to diagnose COVID-19 using computed tomography (CT) lung scans, since CT is a pertinent screening tool due to its higher sensitivity in recognizing early pneumonic changes. However, large datasets of CT-scan images are not publicly available due to privacy concerns and obtaining very accurate models has become difficult. Thus, to overcome this drawback, transfer-learning pre-trained models are used in the proposed methodology to classify COVID-19 (positive) and COVID-19 (negative) patients. We describe the development of a DL framework that includes pre-trained models (DenseNet201, VGG16, ResNet50V2, and MobileNet) as its backbone, known as KarNet. To extensively test and analyze the framework, each model was trained on original (i.e. unaugmented) and manipulated (i.e. augmented) datasets. Among the four pre-trained models of KarNet, the one that used DenseNet201 demonstrated excellent diagnostic ability, with AUC scores of 1.00 and 0.99 for models trained on unaugmented and augmented data sets, respectively. Even after considerable distortion of the images (i.e. the augmented dataset) DenseNet201 achieved an accuracy of 97% for the test dataset, followed by ResNet50V2, MobileNet, and VGG16 (which achieved accuracies of 96%, 95%, and 94%, respectively).
自2020年初以来,冠状病毒病(COVID-19)在全球的传播速度迅速加快,已进入严重大流行状态。截至撰写本文时,COVID-19已感染2900多万人,造成90多万人死亡。由于它具有高度传染性,它会引起爆炸性的社区传播。因此,由于缺乏检测包,卫生保健服务受到干扰和损害。covid -19感染患者表现为严重急性呼吸综合征。与此同时,科学界一直在利用计算机断层扫描(CT)肺部扫描来诊断COVID-19的深度学习(DL)技术的实施,因为CT在识别早期肺炎变化方面具有更高的灵敏度,是一种相关的筛查工具。然而,由于隐私问题,ct扫描图像的大型数据集无法公开获取,并且很难获得非常准确的模型。因此,为了克服这一缺点,在本文提出的方法中使用迁移学习预训练模型对COVID-19(阳性)和COVID-19(阴性)患者进行分类。我们描述了一个DL框架的开发,该框架包括预训练模型(DenseNet201, VGG16, ResNet50V2和MobileNet)作为其主干,称为KarNet。为了广泛测试和分析框架,每个模型都在原始(即未增强)和操纵(即增强)数据集上进行训练。在KarNet的四个预训练模型中,使用DenseNet201的模型表现出出色的诊断能力,在未增强和增强数据集上训练的模型的AUC得分分别为1.00和0.99。即使在对图像(即增强数据集)进行了相当大的失真之后,DenseNet201对测试数据集的准确率也达到了97%,其次是ResNet50V2, MobileNet和VGG16(分别达到了96%,95%和94%的准确率)。
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引用次数: 27
Machine learning inference of molecular dipole moment in liquid water 液态水分子偶极矩的机器学习推理
Pub Date : 2021-03-15 DOI: 10.1088/2632-2153/ac0123
L. Knijff, Chao Zhang
Molecular dipole moment in liquid water is an intriguing property, partly due to the fact that there is no unique way to partition the total electron density into individual molecular contributions. The prevailing method to circumvent this problem is to use maximally localized Wannier functions, which perform a unitary transformation of the occupied molecular orbitals by minimizing the spread function of Boys. Here we revisit this problem using a data-driven approach satisfying two physical constraints, namely: i) The displacement of the atomic charges is proportional to the Berry phase polarization; ii) Each water molecule has a formal charge of zero. It turns out that the distribution of molecular dipole moments in liquid water inferred from latent variables is surprisingly similar to that obtained from maximally localized Wannier functions. Apart from putting a maximum-likelihood footnote to the established method, this work highlights the capability of graph convolution based charge models and the importance of physical constraints on improving the interpretability.
液态水中的分子偶极矩是一个有趣的性质,部分原因是没有唯一的方法将总电子密度划分为单个分子的贡献。解决这一问题的普遍方法是使用最大定域万尼尔函数,该函数通过最小化男孩的扩散函数对已占分子轨道进行幺正变换。在这里,我们使用满足两个物理约束的数据驱动方法重新审视这个问题,即:i)原子电荷的位移与Berry相极化成正比;每个水分子的形式电荷为零。结果表明,从潜变量推断出的液态水分子偶极矩的分布与从最大定域万尼尔函数得到的分布惊人地相似。除了对已建立的方法进行最大似然注脚外,这项工作还强调了基于图卷积的电荷模型的能力以及物理约束对提高可解释性的重要性。
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引用次数: 2
Anomaly detection in gravitational waves data using convolutional autoencoders 基于卷积自编码器的引力波数据异常检测
Pub Date : 2021-03-13 DOI: 10.1088/2632-2153/abf3d0
F. Morawski, M. Bejger, E. Cuoco, Luigia Petre
As of this moment, fifty gravitational waves (GW) detections have been announced, thanks to the observational efforts of the LIGO-Virgo Collaboration, working with the Advanced LIGO and the Advanced Virgo interferometers. The detection of signals is complicated by the noise-dominated nature of the data. Conventional approaches in GW detection procedures require either precise knowledge of the GW waveform in the context of matched filtering searches or coincident analysis of data from multiple detectors. Furthermore, the analysis is prone to contamination by instrumental or environmental artifacts called glitches which either mimic astrophysical signals or reduce the overall quality of data. In this paper, we propose an alternative generic method of studying GW data based on detecting anomalies. The anomalies we study are transient signals, different from the slow non-stationary noise of the detector. Presented in the manuscript anomalies are mostly based on the GW emitted by the mergers of binary black hole systems. However, the presented study of anomalies is not limited only to GW alone, but also includes glitches occurring in the real LIGO/Virgo dataset available at the Gravitational Waves Open Science Center.
到目前为止,已经宣布了50次引力波(GW)探测,这要归功于LIGO-Virgo合作组织的观测努力,以及先进的LIGO和先进的Virgo干涉仪。由于数据的噪声占主导地位,信号的检测变得复杂。传统的GW检测方法需要在匹配滤波搜索的背景下精确了解GW波形,或者对来自多个探测器的数据进行一致分析。此外,这种分析很容易受到仪器或环境干扰的污染,这些干扰被称为小故障,它们要么模仿天体物理信号,要么降低数据的整体质量。在本文中,我们提出了一种基于检测异常的通用方法来研究GW数据。我们研究的异常是瞬态信号,不同于探测器缓慢的非平稳噪声。论文中提出的异常大多是基于双黑洞系统合并发出的GW。然而,所提出的异常研究不仅限于GW,还包括引力波开放科学中心可用的真实LIGO/Virgo数据集中发生的故障。
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引用次数: 11
Multi-scale tensor network architecture for machine learning 用于机器学习的多尺度张量网络架构
Pub Date : 2021-01-01 DOI: 10.1088/2632-2153/abffe8
J. Reyes, E. Stoudenmire
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引用次数: 21
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