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Rigor with machine learning from field theory to the Poincaré conjecture 从场论到波恩卡莱猜想,机器学习的严谨性
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-04-08 DOI: 10.1038/s42254-024-00709-0
Sergei Gukov, James Halverson, Fabian Ruehle
Despite their successes, machine learning techniques are often stochastic, error-prone and blackbox. How could they then be used in fields such as theoretical physics and pure mathematics for which error-free results and deep understanding are a must? In this Perspective, we discuss techniques for obtaining zero-error results with machine learning, with a focus on theoretical physics and pure mathematics. Non-rigorous methods can enable rigorous results via conjecture generation or verification by reinforcement learning. We survey applications of these techniques-for-rigor ranging from string theory to the smooth 4D Poincaré conjecture in low-dimensional topology. We also discuss connections between machine learning theory and mathematics or theoretical physics such as a new approach to field theory motivated by neural network theory, and a theory of Riemannian metric flows induced by neural network gradient descent, which encompasses Perelman’s formulation of the Ricci flow that was used to solve the 3D Poincaré conjecture. Machine learning techniques may appear ill-suited for application in fields that prioritize rigor and deep understanding; however, they have recently found unexpected uses in theoretical physics and pure mathematics. In this Perspective, Gukov, Halverson and Ruehle have discussed rigorous applications of machine learning to theoretical physics and pure mathematics.
尽管机器学习技术取得了成功,但它们往往是随机的、容易出错的和黑箱的。那么,如何将它们用于理论物理和纯数学等必须获得无差错结果和深刻理解的领域呢?在本视角中,我们将以理论物理和纯数学为重点,讨论利用机器学习获得零错误结果的技术。非严格方法可以通过猜想生成或强化学习验证获得严格结果。我们考察了这些严谨性技术的应用,范围从弦理论到低维拓扑学中的光滑 4D Poincaré 猜想。我们还讨论了机器学习理论与数学或理论物理学之间的联系,如神经网络理论激发的场论新方法,以及神经网络梯度下降诱导的黎曼度量流理论,其中包含佩雷尔曼用于求解三维波恩卡莱猜想的利玛窦流公式。
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引用次数: 0
Neural operators for accelerating scientific simulations and design 用于加速科学模拟和设计的神经运算器
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-04-08 DOI: 10.1038/s42254-024-00712-5
Kamyar Azizzadenesheli, Nikola Kovachki, Zongyi Li, Miguel Liu-Schiaffini, Jean Kossaifi, Anima Anandkumar
Scientific discovery and engineering design are currently limited by the time and cost of physical experiments. Numerical simulations are an alternative approach but are usually intractable for complex real-world problems. Artificial intelligence promises a solution through fast data-driven surrogate models. In particular, neural operators present a principled framework for learning mappings between functions defined on continuous domains, such as spatiotemporal processes and partial differential equations. Neural operators can extrapolate and predict solutions at new locations unseen during training. They can be integrated with physics and other domain constraints enforced at finer resolutions to obtain high-fidelity solutions and good generalization. Neural operators are differentiable, so they can directly optimize parameters for inverse design and other inverse problems. Neural operators can therefore augment, or even replace, existing numerical simulators in many applications, such as computational fluid dynamics, weather forecasting and material modelling, providing speedups of four to five orders of magnitude. Neural operators learn mappings between functions on continuous domains, such as spatiotemporal processes and partial differential equations, offering a fast, data-driven surrogate model solution for otherwise intractable numerical simulations of complex real-world problems.
目前,科学发现和工程设计受限于物理实验的时间和成本。数值模拟是一种替代方法,但通常难以解决复杂的现实世界问题。人工智能通过快速数据驱动的代用模型提供了一种解决方案。特别是,神经算子为学习连续域(如时空过程和偏微分方程)上定义的函数之间的映射提供了一个原则性框架。神经算子可以推断和预测训练期间未曾见过的新位置的解决方案。神经算子可以与物理和其他领域的约束条件相结合,在更精细的分辨率下执行,从而获得高保真的解决方案和良好的泛化效果。神经算子是可微分的,因此可以直接优化逆向设计和其他逆向问题的参数。因此,在计算流体动力学、天气预报和材料建模等许多应用中,神经算子可以增强甚至取代现有的数值模拟器,将速度提高四到五个数量级。
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引用次数: 0
Physics words with surprising origins 来源惊人的物理单词
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-04-01 DOI: 10.1038/s42254-024-00717-0
Many everyday English words have a double meaning, being used as physics jargon. This month, we share some of our favourite stories of how physics terms came to be.
许多日常英语词汇具有双重含义,它们被用作物理学术语。本月,我们将分享一些我们最喜爱的物理术语诞生故事。
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引用次数: 0
Photophysical properties of materials for high-speed photodetection 高速光电探测材料的光物理特性
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-03-22 DOI: 10.1038/s42254-024-00699-z
Amin Morteza Najarian, Maral Vafaie, Bin Chen, F. Pelayo García de Arquer, Edward H. Sargent
Fast-response optical sensing across the electromagnetic spectrum is an enabler of quantum systems, 3D machine vision and augmented reality, yet existing technologies are not optimized for infrared sensing. Trade-offs among characteristics such as speed, efficiency, noise, spectral detection range and cost motivate the research community to develop nanostructured sensing materials that provide operation from visible to infrared wavelengths with seamless integration. As efforts are made to advance the combined gain and bandwidth of devices, a clear understanding of physical mechanisms underlying the dynamics of charge carriers, with a particular focus on speed-limiting processes, is of high priority. In this Review, we provide an account of the photophysical attributes of active materials and their impact on optical sensor performance, focusing on the interplay between temporal and peak response to pulsed light of varying durations. We identify performance-limiting processes and directions for future progress in developing materials and device architectures that realize high-speed photodetection. Developing photodetectors that work across the electromagnetic spectrum remains a challenge, and there are many trade-offs to be considered, including speed, efficiency, noise, spectral detection range and cost. This Review discusses the photophysical attributes of the active materials that define the interrelated aspects of response amplitude and temporal dynamics in photodetectors.
跨电磁频谱的快速响应光学传感是量子系统、三维机器视觉和增强现实技术的推动力,但现有技术并未针对红外传感进行优化。在速度、效率、噪声、光谱检测范围和成本等特性之间权衡取舍,促使研究界开发出可在可见光到红外波段无缝集成的纳米结构传感材料。在努力提高器件的综合增益和带宽的同时,清楚地了解电荷载流子动力学的物理机制,特别是速度限制过程,是当务之急。在本综述中,我们介绍了活性材料的光物理属性及其对光学传感器性能的影响,重点是对不同持续时间的脉冲光的时间响应和峰值响应之间的相互作用。我们指出了限制性能的过程,以及在开发实现高速光电探测的材料和器件结构方面的未来发展方向。
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引用次数: 0
Mechanical properties of human tumour tissues and their implications for cancer development 人体肿瘤组织的机械特性及其对癌症发展的影响
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-03-19 DOI: 10.1038/s42254-024-00707-2
Andrew Massey, Jamie Stewart, Chynna Smith, Cameron Parvini, Moira McCormick, Kun Do, Alexander X. Cartagena-Rivera
The mechanical properties of cells and tissues help determine their architecture, composition and function. Alterations to these properties are associated with many diseases, including cancer. Tensional, compressive, adhesive, elastic and viscous properties of individual cells and multicellular tissues are mostly regulated by reorganization of the actomyosin and microtubule cytoskeletons and extracellular glycocalyx, which in turn drive many pathophysiological processes, including cancer progression. This Review provides an in-depth collection of quantitative data on diverse mechanical properties of living human cancer cells and tissues. Additionally, the implications of mechanical property changes for cancer development are discussed. An increased knowledge of the mechanical properties of the tumour microenvironment, as collected using biomechanical approaches capable of multi-timescale and multiparametric analyses, will provide a better understanding of the complex mechanical determinants of cancer organization and progression. This information can lead to a further understanding of resistance mechanisms to chemotherapies and immunotherapies and the metastatic cascade. This Review summarizes differences in several mechanical properties that play a role in human cancer development, at the cell and tissue levels. Comprehensive cell and tissue quantitative mechanical properties are provided based on cancer types and organs of origin.
细胞和组织的机械特性有助于决定其结构、组成和功能。这些特性的改变与包括癌症在内的许多疾病有关。单个细胞和多细胞组织的拉伸、压缩、粘附、弹性和粘性特性主要通过肌动蛋白和微管细胞骨架以及胞外糖萼的重组来调节,而这反过来又推动了许多病理生理过程,包括癌症的进展。本综述深入收集了活体人类癌细胞和组织各种机械特性的定量数据。此外,还讨论了机械特性变化对癌症发展的影响。利用可进行多时间尺度和多参数分析的生物力学方法收集的有关肿瘤微环境机械特性的更多知识,将有助于更好地了解癌症组织和进展的复杂机械决定因素。这些信息将有助于进一步了解化疗和免疫疗法的抗药性机制以及转移级联。
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引用次数: 0
Anomalies in particle physics and their implications for physics beyond the standard model 粒子物理学中的反常现象及其对标准模型之外物理学的影响
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-03-19 DOI: 10.1038/s42254-024-00703-6
Andreas Crivellin, Bruce Mellado
The standard model (SM) of particle physics is the mathematical description of the fundamental constituents and interactions of matter. Its last missing particle, the Higgs boson, was observed in 2012. However, there are several phenomena that the SM cannot account for (such as dark-matter particles, or non-vanishing neutrino masses), neither does it describe gravity. There must be more to discover, to extend the SM into a full description of nature. Here we review the hints of new physics, called anomalies, that are seen for various interactions as discrepancies between standard-model predictions and experimental measurements. We consider both direct high-energy searches for new particles at the Large Hadron Collider at CERN and indirect low-energy precision experiments. These anomalies span an energy scale of more than four orders of magnitude: from the mass of the proton, to the electroweak scale (approximately the mass of the Higgs boson), to the teraelectronvolt scale, which is the highest scale directly accessible at the Large Hadron Collider. We discuss the experimental and theoretical status of various anomalies and summarize possible explanations in terms of new particles and new interactions as well as discovery prospects. We suggest, in particular, that new additional Higgs bosons and so-called leptoquarks are promising candidates for extending the standard model. The standard model of particle physics describes the fundamental constituents of matter and their interactions. We review the status of experimental hints for new physics, which, if confirmed, would require the extension of the standard model with new particles and new interactions.
粒子物理学标准模型(SM)是对物质基本成分和相互作用的数学描述。2012年,人们观测到了标准模型最后一个缺失的粒子--希格斯玻色子。然而,标准模型无法解释一些现象(如暗物质粒子或不等的中微子质量),也无法描述引力。要将SM扩展为对自然的全面描述,肯定还有更多的发现。在这里,我们回顾了新物理学的蛛丝马迹,这些蛛丝马迹被称为 "反常现象"(anomalies),在各种相互作用中被视为标准模型预测与实验测量之间的差异。我们既考虑了在欧洲核子研究中心大型强子对撞机上对新粒子的直接高能搜索,也考虑了间接的低能精密实验。这些反常现象跨越了四个数量级以上的能量尺度:从质子质量到电弱尺度(大约是希格斯玻色子的质量),再到太电子伏特尺度,这是在大型强子对撞机上可以直接获得的最高尺度。我们讨论了各种反常现象的实验和理论状况,总结了新粒子和新相互作用的可能解释以及发现前景。我们特别提出,新的附加希格斯玻色子和所谓的轻夸克是扩展标准模型的有希望的候选粒子。
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引用次数: 0
Controlling water waves with artificial structures 用人工结构控制水波
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-03-18 DOI: 10.1038/s42254-024-00701-8
Shan Zhu, Xinyu Zhao, Linkang Han, Jian Zi, Xinhua Hu, Huanyang Chen
Because of analogies between the 2D Maxwell equations and water wave equations, methods for manipulating electromagnetic waves based on photonic crystals and metamaterials can be extended to manipulate water waves. Doing so provides new opportunities to investigate the interaction of water waves with structures. In this Review, we introduce the research progress of controlling water waves with water wave crystals and metamaterials and summarize the basic theory and calculation methods for water waves. The working principles and design methods for water wave crystals and metamaterials are described, and their properties and applications are presented. We also discuss the current challenges in this field and future directions. Similar to acoustic and electromagnetic waves, water waves are classical waves that can be controlled by artificial structures such as water wave crystals and metamaterials. This Review surveys the development of water wave manipulation using artificial structures and describes its potential applications.
由于二维麦克斯韦方程与水波方程之间存在类比关系,基于光子晶体和超材料的电磁波操纵方法可以扩展到水波操纵。这为研究水波与结构的相互作用提供了新的机遇。本综述介绍了利用水波晶体和超材料控制水波的研究进展,总结了水波的基本理论和计算方法。介绍了水波晶体和超材料的工作原理和设计方法,以及它们的特性和应用。我们还讨论了该领域当前面临的挑战和未来的发展方向。
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引用次数: 0
Starting a conversation about social issues in optics and photonics 就光学和光子学中的社会问题展开对话
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-03-13 DOI: 10.1038/s42254-024-00705-4
Kimberli Bell, Taylor M. Cannon, Amira M. Eltony, Chhavi Goenka, Abigail L. Gregg, Nathaniel Hai, Danielle J. Harper, Helen Keshishian, Nichaluk Leartprapun, Haley L. Marks, David O. Otuya, Linhui Yu
Science and society are inextricably entangled, but the discussion of social issues in optics and photonics is, at best, treated as peripheral to the field. A group of researchers, technicians, administrative staff, and clinical liaisons share how they came together to start a conversation recognizing these oft-disregarded issues.
科学与社会密不可分,但在光学和光子学领域,对社会问题的讨论充其量只能被视为边缘问题。一组研究人员、技术人员、行政人员和临床联络员分享了他们如何走到一起,开始讨论这些经常被忽视的问题。
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引用次数: 0
Strong evidence for the discovery of a gravitational wave background 发现引力波背景的有力证据
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-03-11 DOI: 10.1038/s42254-024-00711-6
Chiara Caprini
In 2023, pulsar timing arrays announced what could become the first ever discovery of a stochastic gravitational wave background: the random superposition of gravitational waves permeating the cosmos — a vestige of cosmic processes in the Universe. Upcoming datasets are expected to confirm the discovery and provide insight into the origin of this signal. In 2023, pulsar timing arrays announced what could become the first ever discovery of a stochastic gravitational wave background: the random superposition of gravitational waves permeating the cosmos — a vestige of cosmic processes in the Universe.
2023 年,脉冲星定时阵列宣布可能首次发现随机引力波背景:宇宙中弥漫的引力波的随机叠加--宇宙进程在宇宙中的遗迹。接下来的数据集有望证实这一发现,并让人们深入了解这一信号的起源。2023 年,脉冲星定时阵列宣布了一项可能成为史无前例的随机引力波背景发现:宇宙中弥漫的引力波的随机叠加--宇宙中宇宙进程的遗迹。
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引用次数: 0
Olfactory cues and memories in animal navigation 动物导航中的嗅觉线索和记忆
IF 38.5 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-03-08 DOI: 10.1038/s42254-024-00710-7
Thierry Emonet, Massimo Vergassola
Thierry Emonet and Massimo Vergassola discuss what research shows about how animals perform the feat of navigating by smell.
蒂埃里-埃莫内(Thierry Emonet)和马西莫-贝尔加索拉(Massimo Vergassola)讨论了有关动物如何通过嗅觉进行导航的研究成果。
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引用次数: 0
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Nature Reviews Physics
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